Nutrient Management, Mississippi 2004 Larry Oldham, Ph.D.
of Cropping Management Systems for the Brown Loam Area of Mississippi Animal By-Product Related Nutrient Litter Management for Land Productivity and Water Quality: Forestry Component Comparison of PoultryNutrient Management, Mississippi 2004 Larry Oldham, Ph.D. Associate Extension Professor - Soils #12
Self-Calibration of Stationary Cameras Richard I. Hartley
Hartley, Richard
Self-Calibration of Stationary Cameras Richard I. Hartley G.E. CRD, Schenectady, NY, 12301. Email : hartley@crd.ge.com Abstract A new practical method is given for the self-calibration of a camera of the camera and calibration is computed from an analysis of point matches between the images. The method
Self-Calibration from Two Views Richard I. Hartley
Hartley, Richard
Self-Calibration from Two Views Richard I. Hartley G.E. CRD, Schenectady, NY, 12301. Email : hartley@crd.ge.com Abstract A new practical method is given for the self-calibration of a camera and calibration is computed from an analysis of point matches between the two images. The method requires
Shannon's Formula and Hartley's Rule: A Mathematical Coincidence?
Rioul, Olivier
Shannon's Formula and Hartley's Rule: A Mathematical Coincidence? Olivier Rioul and JosÃ© Carlos) - Unicamp, Campinas, Brazil Abstract. Shannon's formula C = 1 2 log(1+P/N) is the emblematic expression before Shannon; (2) Shannon's formula as a fundamental tradeoff between transmis- sion rate, bandwidth
Camera calibration and the search for infinity. Richard I. Hartley,
Oxford, University of
Camera calibration and the search for infinity. Richard I. Hartley, G.E. Corporate Research of Engineering, Oxford University Abstract This paper considers the problem of self-calibration of a camera from change. The problem of camera self-calibration from a se- quence of images has proven to be a difficult
Camera calibration and the search for infinity. Richard I. Hartley,
Hartley, Richard
Camera calibration and the search for infinity. Richard I. Hartley, Eric Hayman, Lourdes de and Department of Engineering, Oxford University Abstract This paper considers the problem of self-calibration length) may change. The problem of camera self- calibration from a sequence of images has proven
Wharton, Amy Laura
1986-01-01T23:59:59.000Z
of time-temperature index (TTI) for burial history of the Cisco Shale in Figure 21. . . . . . . . . 6 Average porosities and permeabilities for the Canyon granite wash, Lambert I and Sundance fields, Oldham County, Texas. Interval footage corresponds...DEPOSITIONAL ENVIRONMENT OF THE MIDDLE PENNSYLVANIAN GRANITE WASH; LAMBERT 1, HRYHOR, AND SUNDANCE FIELDS, NORTHERN PALO DURO BASIN, OLDHAM COUNTY, TEXAS A Thesis by AMY LAURA WHARTON ' Submi'tted to the Graduate College of Texas A...
RADAR OBSERVATIONS OF COMET 103P/HARTLEY 2
Harmon, John K.; Nolan, Michael C.; Howell, Ellen S.; Taylor, Patrick A. [Arecibo Observatory, National Astronomy and Ionosphere Center, HC3 Box 53995, Arecibo, Puerto Rico 00612 (Puerto Rico); Giorgini, Jon D., E-mail: harmon@naic.edu [Jet Propulsion Laboratory, California Institute of Technology, MS 301-150, 4800 Oak Grove Dr., Pasadena, California 91109 (United States)
2011-06-10T23:59:59.000Z
Comets rarely come close enough to be studied intensively with Earth-based radar. The most recent such occurrence was when Comet 103P/Hartley 2 passed within 0.12 AU in late 2010 October, less than two weeks before the EPOXI flyby. This offered a unique opportunity to improve pre-encounter trajectory knowledge and obtain complementary physical data for a spacecraft-targeted comet. 103P/Hartley 2 is only the fourth comet nucleus to be imaged with radar and already the second to be identified as an elongated, bilobate object based on its delay-Doppler signature. The images show the dominant spin mode to be a rotation about the short axis with a period of 18.2 hr. The nucleus has a low radar albedo consistent with a surface density of 0.5-1.0 g cm{sup -3}. A separate echo component was detected from large (>cm) grains ejected anisotropically with velocities of several to tens of meters per second. Radar shows that, in terms of large-grain production, 103P/Hartley 2 is an unusually active comet for its size.
The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms
Soares, L R; Cintra, R J
2015-01-01T23:59:59.000Z
In continuous-time wavelet analysis, most wavelet present some kind of symmetry. Based on the Fourier and Hartley transform kernels, a new wavelet multiresolution analysis is proposed. This approach is based on a pair of orthogonal wavelet functions and is named as the Fourier-Like and Hartley-Like wavelet analysis. A Hilbert transform analysis on the wavelet theory is also included.
Hartley County, Texas: Energy Resources | Open Energy Information
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page onYou are now leaving Energy.gov You are now leaving Energy.gov You are8COaBulkTransmissionSitingProcess.pdfGetec AG| OpenInformation HandbookOhio:Connecticut:Wisconsin: EnergyHartley
Wharton, Amy Laura
1986-01-01T23:59:59.000Z
of Advisory Committee: Dr. Robert R. Berg The Lambert 1, Hryhor, and Sundance fields in Oldham County, Texas produce oil from the Niddle Pennsylvanian Canyon granite wash. Canyon granite wash conglomerates and sandstones have a total thick- ness of about... Regional Structure. Regional Stratigraphy. Oil and Gas Fields of the Texas Panhandle. . . . Granite Wash Oil Fields Lambert I, Hryhor, and Sundance Fields. . Tectonic History. Stratigraphy. Drilling History. Methods CHARACTERISTICS OF THE GRANITE...
Abduction in Model Generative Reasoning Roger T. Hartley and Michael J. Coombs
Hartley, Roger
Abduction in Model Generative Reasoning Roger T. Hartley and Michael J. Coombs Computer Science, 1990 1 Introduction Most of the abductive mechanisms in the literature are based on formalizations (binary) operations on these graphs. The equivalence of the method to logical abduction is noted
from the 6th Edition of the PCI Design Handbook, ACI 318-08, and other published models were used an undergraduate, Hartley gained meaningful real world experience as a summer intern for the Nuclear Steam Supply
Bennett, Charles L. (Livermore, CA)
2009-10-20T23:59:59.000Z
A high efficiency harmonic engine based on a resonantly reciprocating piston expander that extracts work from heat and pressurizes working fluid in a reciprocating piston compressor. The engine preferably includes harmonic oscillator valves capable of oscillating at a resonant frequency for controlling the flow of working fluid into and out of the expander, and also preferably includes a shunt line connecting an expansion chamber of the expander to a buffer chamber of the expander for minimizing pressure variations in the fluidic circuit of the engine. The engine is especially designed to operate with very high temperature input to the expander and very low temperature input to the compressor, to produce very high thermal conversion efficiency.
A Distribution of Large Particles in the Coma of Comet 103P/Hartley 2
Kelley, Michael S; Bodewits, Dennis; A'Hearn, Michael F; Lisse, Carey M; Kolokolova, Ludmilla; Kissel, Jochen; Hermalyn, Brendan; 10.1016/j.icarus.2012.09.037
2013-01-01T23:59:59.000Z
The coma of comet 103P/Hartley 2 has a significant population of large particles observed as point sources in images taken by the Deep Impact spacecraft. We measure their spatial and flux distributions, and attempt to constrain their composition. The flux distribution of these particles implies a very steep size distribution with power-law slopes ranging from -6.6 to -4.7. The radii of the particles extend up to 20 cm, and perhaps up to 2 m, but their exact sizes depend on their unknown light scattering properties. We consider two cases: bright icy material, and dark dusty material. The icy case better describes the particles if water sublimation from the particles causes a significant rocket force, which we propose as the best method to account for the observed spatial distribution. Solar radiation is a plausible alternative, but only if the particles are very low density aggregates. If we treat the particles as mini-nuclei, we estimate they account for <16-80% of the comet's total water production rate (...
EPOXI: COMET 103P/HARTLEY 2 OBSERVATIONS FROM A WORLDWIDE CAMPAIGN
Meech, K. J. [Institute for Astronomy, 2680 Woodlawn Drive, Honolulu, HI 96822 (United States); A'Hearn, M. F.; Bodewits, D. [Department of Astronomy, University of Maryland, College Park, MD 20742-2421 (United States); Adams, J. A. [Department of Astronomy, Cornell University, 202 Space Sciences Building, Ithaca, NY 14853 (United States); Bacci, P. [Centro Astronomico di Libbiano, Peccioli Pisa (Italy); Bai, J. [Yunnan Astronomical Observatory, Chinese Academy of Sciences, P.O. Box 110, Kunming 65011, Yunnan (China); Barrera, L. [Universidad Metropolitana de Ciencias de la Educacion, Av. J. P. Alessandri 774, Nunoa, Santiago (Chile); Battelino, M. [Swedish Space Corporation, P.O. Box 4207, 17104 Solna (Sweden); Bauer, J. M. [Jet Propulsion Laboratory, 4800 Oak Grove Drive, Pasadena, CA 91109 (United States); Becklin, E. [Stratospheric Observatory for Infrared Astronomy, Universities Space Research Association, Mail Stop 211-3, Moffett Field, CA 94035 (United States); Bhatt, B. [Indian Institute of Astrophysics, CREST Campus, Block-II, Koramangala, Sarjapur Road, Bangalore 560034 (India); Biver, N.; Bockelee-Morvan, D. [LESIA, Observatoire de Paris, 5 place Jules Janssen, Meudon 92195 (France); Boehnhardt, H. [Max-Planck Institute for Solar System Research, Max-Planck-Str. 2, Katlenburg-Lindau 37191 (Germany); Boissier, J. [INAF-Inst. di Radioastronomia, Via P. Gobetti 101, 40129 Bologna (Italy); Bonev, B. P. [Department of Physics, Catholic University of America/GSFC, 620 Michigan Ave., N.E., Washington, DC 20064 (United States); Borghini, W. [Osservatorio Astronomico Naturalistico di Casasco, Strada Ca'Simoni 15050, Casasco (Italy); Brucato, J. R. [INAF-Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, Firenze 50125 (Italy); Bryssinck, E. [Brixiis Observatory, Eyckensbeekstraat 2, 9150 Kruibeke (Belgium); Buie, M. W. [Department of Space Studies, Southwest Research Institute, 1050 Walnut Street 400, Boulder, CO 80302 (United States)
2011-06-10T23:59:59.000Z
Earth- and space-based observations provide synergistic information for space mission encounters by providing data over longer timescales, at different wavelengths and using techniques that are impossible with an in situ flyby. We report here such observations in support of the EPOXI spacecraft flyby of comet 103P/Hartley 2. The nucleus is small and dark, and exhibited a very rapidly changing rotation period. Prior to the onset of activity, the period was {approx}16.4 hr. Starting in 2010 August the period changed from 16.6 hr to near 19 hr in December. With respect to dust composition, most volatiles and carbon and nitrogen isotope ratios, the comet is similar to other Jupiter-family comets. What is unusual is the dominance of CO{sub 2}-driven activity near perihelion, which likely persists out to aphelion. Near perihelion the comet nucleus was surrounded by a large halo of water-ice grains that contributed significantly to the total water production.
Bennett, Charles L.; Sewall, Noel; Boroa, Carl
2014-08-19T23:59:59.000Z
An engine based on a reciprocating piston engine that extracts work from pressurized working fluid. The engine includes a harmonic oscillator inlet valve capable of oscillating at a resonant frequency for controlling the flow of working fluid into of the engine. In particular, the inlet valve includes an inlet valve head and a spring arranged together as a harmonic oscillator so that the inlet valve head is moveable from an unbiased equilibrium position to a biased closed position occluding an inlet. Upon releasing the inlet valve the inlet valve head undergoes a single oscillation past the equilibrium positio to a maximum open position and returns to a biased return position close to the closed position to choke the flow and produce a pressure drop across the inlet valve causing the inlet valve to close. Protrusions carried either by the inlet valve head or piston head are used to bump open the inlet valve from the closed position and initiate the single oscillation of the inlet valve head, and protrusions carried either by the outlet valve head or piston head are used to close the outlet valve ahead of the bump opening of the inlet valve.
Tchamran-Savehi, Abbas
1958-01-01T23:59:59.000Z
for their help and suggestions. Special thanks are extended to Professor R. P. Ward for his tieely advice during the course of the present wor'k. CONTENTS Preface Page PART I. ? GENERAL Introduction Graphical Nethod The Problem History of Harmonic... Analysers Nathematical Aspects of Harmonic Analysers PART II. ? A NEW ELECTRO-Ng CHANICAL HARNONIC ANALYZER Sumsmry Description of the New Harmonic Analyser Introducing the Harmonics Dismnsions of a Complex Wave Electrical Integrator 14 16 20 22...
Harmonization of Biodiesel Specifications
Alleman, T. L.
2008-02-01T23:59:59.000Z
Worldwide biodiesel production has grown dramatically over the last several years. Biodiesel standards vary across countries and regions, and there is a call for harmonization. For harmonization to become a reality, standards have to be adapted to cover all feedstocks. Additionally, all feedstocks cannot meet all specifications, so harmonization will require standards to either tighten or relax. For harmonization to succeed, the biodiesel market must be expanded with the alignment of test methods and specification limits, not contracted.
WATER PRODUCTION BY COMET 103P/HARTLEY 2 OBSERVED WITH THE SWAN INSTRUMENT ON THE SOHO SPACECRAFT
Combi, M. R. [Department of Atmospheric, Oceanic and Space Sciences, University of Michigan, 2455 Hayward Street, Ann Arbor, MI 48109-2143 (United States); Bertaux, J.-L.; Quemerais, E. [LATMOS, CNRS/INSU, Universite de Versailles Saint-Quentin, 11 Bd d'Alembert, 78280 Guyancourt (France); Ferron, S. [ACRI-st, Sophia-Antipolis (France); Maekinen, J. T. T., E-mail: mcombi@umich.edu, E-mail: Jean-Loup.Bertaux@aerov.jussieu.fr, E-mail: eric.quemerais@latmos.ipsl.fr, E-mail: Stephane.Ferron@aerov.jussieu.fr, E-mail: Teemu.Makinen@fmi.fi [Finnish Meteorological Institute, Box 503, SF-00101 Helsinki (Finland)
2011-06-10T23:59:59.000Z
Global water production rates were determined from the Ly{alpha} emission of hydrogen around comet 103P/Hartley 2, observed with the SWAN (Solar Wind Anisotropies) all-sky camera on the SOHO spacecraft from 2010 September 14 through December 12. This time period included the November 4 flyby by the EPOXI spacecraft. Water production was three times lower than during the 1997 apparition also measured by SWAN. In 2010, it increased by a factor of {approx}2.5 within one day on September 30 with a similar corresponding drop between November 24 and 30. The total surface area of sublimating water within {+-}20 days of perihelion was {approx}0.5 km{sup 2}, about half of the mean cross section of the nucleus. Outside this period it was {approx}0.2 km{sup 2}. The peak value was 90%, implying a significant water production by released nucleus icy fragments.
harmonic analysis and geometry
Faculty listing for "harmonic analysis and geometry". vCard of Nicola Garofalo Garofalo, Nicola [bio] [homepage] Adjunct Professor of Mathematics
Electrodynamic spherical harmonic
Andrey Novitsky
2008-03-28T23:59:59.000Z
Electrodynamic spherical harmonic is a second rank tensor in three-dimensional space. It allows to separate the radial and angle variables in vector solutions of Maxwell's equations. Using the orthonormalization for electrodynamic spherical harmonic, a boundary problem on a sphere can be easily solved.
Mark W. Coffey
2008-12-09T23:59:59.000Z
We evaluate binomial series with harmonic number coefficients, providing recursion relations, integral representations, and several examples. The results are of interest to analytic number theory, the analysis of algorithms, and calculations of theoretical physics, as well as other applications.
Summers, Mark A. (Livermore, CA); Eimerl, David (Pleasanton, CA); Boyd, Robert D. (Livermore, CA)
1985-01-01T23:59:59.000Z
A pair of uniaxial birefringent crystal elements are fixed together to form a serially arranged, integral assembly which, alternatively, provides either a linearly or elliptically polarized second-harmonic output wave or a linearly polarized third-harmonic output wave. The "extraordinary" or "e" directions of the crystal elements are oriented in the integral assembly to be in quadrature (90.degree.). For a second-harmonic generation in the Type-II-Type-II angle tuned case, the input fundamental wave has equal amplitude "o" and "e" components. For a third-harmonic generation, the input fundamental wave has "o" and "e" components whose amplitudes are in a ratio of 2:1 ("o":"e" reference first crystal). In the typical case of a linearly polarized input fundamental wave this can be accomplished by simply rotating the crystal assembly about the input beam direction by 10.degree.. For both second and third harmonic generation input precise phase-matching is achieved by tilting the crystal assembly about its two sensitive axes ("o").
Summers, M.A.; Eimerl, D.; Boyd, R.D.
1982-06-10T23:59:59.000Z
A pair of uniaxial birefringent crystal elements are fixed together to form a serially arranged, integral assembly which, alternatively, provides either a linearly or elliptically polarized second-harmonic output wave or a linearly polarized third-harmonic output wave. The extraordinary or e directions of the crystal elements are oriented in the integral assembly to be in quadrature (90/sup 0/). For a second-harmonic generation in the Type-II-Type-II angle tuned case, the input fundamental wave has equal amplitude o and e components. For a third-harmonic generation, the input fundamental wave has o and e components whose amplitudes are in a ratio of 2:1 (o:e reference first crystal). In the typical case of a linearly polarized input fundamental wave this can be accomplished by simply rotating the crystal assembly about the input beam direction by 10/sup 0/. For both second and third harmonic generation input precise phase-matching is achieved by tilting the crystal assembly about its two sensitive axeses (o).
Harmonic functions on Walsh's Brownian motion
Jehring, Kristin Elizabeth
2009-01-01T23:59:59.000Z
4.3 Harmonic Functions . . . . . . . . . . . . . . .Chapter 3 Harmonic Functions . . . . . . . . . . . . . . 3.1Markov Chains 4.3.2 Harmonic Functions for the Embedded
Harmonic resolution as a holographic quantum number
Bousso, Raphael
2009-01-01T23:59:59.000Z
LBNL- 57239 Harmonic resolution as a holographic quantumhep-th/0310223 UCB-PTH-03/26 Harmonic resolution as aquantum number, the harmonic resolution K. The Bekenstein
Second Harmonic Generation From Surfaces
Botti, Silvana
Second Harmonic Generation From Surfaces Nicolas Tancogne-Dejean, ValÃ©rie VÃ©niard Condensed Matter/DSM European Theoretical Spectroscopy Facility #12;2 Outline Nonlinear optic and second harmonic generation;4 Second harmonic generation First nonlinear term Centrosymmetric material : (2) = 0 (3)First nonlinear
Analytic Continuation of Harmonic Sums
S. Albino
2009-03-06T23:59:59.000Z
We present a method for calculating any (nested) harmonic sum to arbitrary accuracy for all complex values of the argument. The method utilizes the relation between harmonic sums and (derivatives of) Hurwitz zeta functions, which allows a harmonic sum to be calculated as an expansion valid for large values of its argument. A program for implementing this method is also provided.
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Michael, J. Robert; Volkov, Anatoliy
2015-01-23T23:59:59.000Z
The widely used pseudoatom formalism [Stewart (1976). Acta Cryst. A32, 565–574; Hansen & Coppens (1978). Acta Cryst. A34, 909–921] in experimental X-ray charge-density studies makes use of real spherical harmonics when describing the angular component of aspherical deformations of the atomic electron density in molecules and crystals. The analytical form of the densitynormalized Cartesian spherical harmonic functions for up to l 7 and the corresponding normalization coefficients were reported previously by Paturle & Coppens [Acta Cryst. (1988), A44, 6–7]. It was shown that the analytical form for normalization coefficients is available primarily for l 4 [Hansen & Coppens, 1978; Paturlemore »& Coppens, 1988; Coppens (1992). International Tables for Crystallography, Vol. B, Reciprocal space, 1st ed., edited by U. Shmueli, ch. 1.2. Dordrecht: Kluwer Academic Publishers; Coppens (1997). X-ray Charge Densities and Chemical Bonding. New York: Oxford University Press]. Only in very special cases it is possible to derive an analytical representation of the normalization coefficients for 4 4 the density normalization coefficients were calculated numerically to within seven significant figures. In this study we review the literature on the density-normalized spherical harmonics, clarify the existing notations, use the Paturle–Coppens (Paturle & Coppens, 1988) method in the Wolfram Mathematica software to derive the Cartesian spherical harmonics for l 20 and determine the density normalization coefficients to 35 significant figures, and computer-generate a Fortran90 code. The article primarily targets researchers who work in the field of experimental X-ray electron density, but may be of some use to all who are interested in Cartesian spherical harmonics.« less
S. C. Tiwari
2007-06-09T23:59:59.000Z
A generalized harmonic map equation is presented based on the proposed action functional in the Weyl space (PLA, 135, 315, 1989).
Harmonic Wavelet Transform and Image Approximation
Zhang, Zhihua; Saito, Naoki
2010-01-01T23:59:59.000Z
DOI 10.1007/s10851-010-0202-x Harmonic Wavelet Transform andwe approximate f by a harmonic function u such that thebanks. We call this the Harmonic Wavelet Transform (HWT).
Bockelée-Morvan, D; Crovisier, J; Lis, D C; Hartogh, P; Moreno, R; de Val-Borro, M; Blake, G A; Szutowicz, S; Boissier, J; Cernicharo, J; Charnley, S B; Combi, M; Cordiner, M A; de Graauw, T; Encrenaz, P; Kidger, M; Küppers, M; Milam, S N; Müller, H S P; Phillips, T G; Rengel, M
2014-01-01T23:59:59.000Z
HCl and HF are expected to be the main reservoirs of fluorine and chlorine wherever hydrogen is predominantly molecular. They are found to be strongly depleted in dense molecular clouds, suggesting freeze-out onto grains in such cold environments. We can then expect that HCl and HF were also the major carriers of Cl and F in the gas and icy phases of the outer solar nebula, and were incorporated into comets. We aimed to measure the HCl and HF abundances in cometary ices as they can provide insights on the halogen chemistry in the early solar nebula. We searched for the J(1-0) lines of HCl and HF at 626 and 1232 GHz, respectively, using the HIFI instrument on board the Herschel Space Observatory. HCl was searched for in comets 103P/Hartley 2 and C/2009 P1 (Garradd), whereas observations of HF were conducted in comet C/2009 P1. In addition, observations of H$_2$O and H$_2^{18}$O lines were performed in C/2009 P1 to measure the H$_2$O production rate. Three lines of CH$_3$OH were serendipitously observed in the ...
On The Harmonic Oscillator Group
Raquel M. Lopez; Sergei K. Suslov; Jose M. Vega-Guzman
2011-12-04T23:59:59.000Z
We discuss the maximum kinematical invariance group of the quantum harmonic oscillator from a view point of the Ermakov-type system. A six parameter family of the square integrable oscillator wave functions, which seems cannot be obtained by the standard separation of variables, is presented as an example. The invariance group of generalized driven harmonic oscillator is shown to be isomorphic to the corresponding Schroedinger group of the free particle.
Echo-Enabled Harmonic Generation
Stupakov, Gennady; /SLAC
2012-06-28T23:59:59.000Z
A recently proposed concept of the Echo-Enabled Harmonic Generation (EEHG) FEL uses two laser modulators in combination with two dispersion sections to generate a high-harmonic density modulation in a relativistic beam. This seeding technique holds promise of a one-stage soft x-ray FEL that radiates not only transversely but also longitudinally coherent pulses. Currently, an experimental verification of the concept is being conducted at the SLAC National Accelerator Laboratory aimed at the demonstration of the EEHG.
Harmonic distortion correction in pipelined analog to digital converters
Panigada, Andrea
2009-01-01T23:59:59.000Z
Background Correction of Harmonic Distortion in PipelinedBackground Correction of Harmonic Distortion in PipelinedADC with 69dB SNDR Enabled by Digital Harmonic Distortion
UV Second-Harmonic Studies of Concentrated Aqueous Electrolyte Interfaces
Otten, Dale Edward
2010-01-01T23:59:59.000Z
Probed by UV Second Harmonic Generation, in Department ofby UV Second Harmonic Generation Spectroscopy," 114, 13746with Femtosecond Second Harmonic Generation Spectroscopy,"
Harmonic algebraic curves and noncrossing partitions
Martin, Jeremy L.; Savitt, David; Singer, Ted
2007-02-01T23:59:59.000Z
Motivated by Gauss’s first proof of the fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bounded components; its topology is determined by the combinatorial data...
Harmonic generation from indium-rich plasmas
Ganeev, R. A.; Kulagin, I. A. [Akadempribor Scientific Association, Academy of Sciences of Uzbekistan, Tashkent 700125 (Uzbekistan); Singhal, H.; Naik, P. A.; Arora, V.; Chakravarty, U.; Chakera, J. A.; Khan, R. A.; Raghuramaiah, M.; Gupta, P. D. [Laser Plasma Division, Raja Ramanna Centre for Advanced Technology, Indore 452013 (India); Redkin, P. V. [Samarkand State University, Samarkand 703004 (Uzbekistan)
2006-12-15T23:59:59.000Z
An experimental study of high-order harmonic generation in In, InSb, InP, and InGaP plasmas using femtosecond laser radiation with variable chirp is presented. Intensity enhancement of the 13th and 21st harmonics compared to the neighboring harmonics by a factor of 200 and 10, respectively, is observed. It is shown that the harmonic spectrum from indium-containing plasma plumes can be considerably modified by controlling the chirp of the driving laser pulse.
Reduced Harmonic Representation of Partitions
Michalis Psimopoulos
2011-03-08T23:59:59.000Z
In the present article the reduced integral representation of partitions in terms of harmonic products has been derived first by using hypergeometry and the new concept of fractional sum and secondly by studying the Fourier series of the kernel function appearing in the integral representation. Using the method of induction, a generalization of the theory has also been obtained.
The Quantum Harmonic Oscillator C. David Sherrill
Sherrill, David
The Quantum Harmonic Oscillator C. David Sherrill School of Chemistry and Biochemistry Georgia Institute of Technology February 2002 1 Introduction The harmonic oscillator is extremely useful by coupled harmonic oscillators. The atoms are viewed as point masses which are connected by bonds which act
spherical harmonics for l < 20
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Michael, J. Robert [Middle Tennessee State University; Volkov, Anatoliy [Middle Tennessee State University
2015-01-23T23:59:59.000Z
The widely used pseudoatom formalism [Stewart (1976). Acta Cryst. A32, 565–574; Hansen & Coppens (1978). Acta Cryst. A34, 909–921] in experimental X-ray charge-density studies makes use of real spherical harmonics when describing the angular component of aspherical deformations of the atomic electron density in molecules and crystals. The analytical form of the densitynormalized Cartesian spherical harmonic functions for up to l 7 and the corresponding normalization coefficients were reported previously by Paturle & Coppens [Acta Cryst. (1988), A44, 6–7]. It was shown that the analytical form for normalization coefficients is available primarily for l 4 [Hansen & Coppens, 1978; Paturle & Coppens, 1988; Coppens (1992). International Tables for Crystallography, Vol. B, Reciprocal space, 1st ed., edited by U. Shmueli, ch. 1.2. Dordrecht: Kluwer Academic Publishers; Coppens (1997). X-ray Charge Densities and Chemical Bonding. New York: Oxford University Press]. Only in very special cases it is possible to derive an analytical representation of the normalization coefficients for 4 4 the density normalization coefficients were calculated numerically to within seven significant figures. In this study we review the literature on the density-normalized spherical harmonics, clarify the existing notations, use the Paturle–Coppens (Paturle & Coppens, 1988) method in the Wolfram Mathematica software to derive the Cartesian spherical harmonics for l 20 and determine the density normalization coefficients to 35 significant figures, and computer-generate a Fortran90 code. The article primarily targets researchers who work in the field of experimental X-ray electron density, but may be of some use to all who are interested in Cartesian spherical harmonics.
Leahy, Richard M.
Harmonic MappingsConstrained Harmonic Mappings Anand A Joshi1, David W Shattuck2, Paul M Thompson2 and Richard M Leahy1 Subcortical Structure AIR Harmonic HAMMER Harmonic +Intensity Left Thalamus 0.79 0.68 0. Extrapolation of the surface map to the entire cortical volume by a harmonic map. 3. Refinement of the harmonic
Hyperspherical harmonic formalism for tetraquarks
J. Vijande; N. Barnea; A. Valcarce
2006-10-11T23:59:59.000Z
We present a generalization of the hyperspherical harmonic formalism to study systems made of quarks and antiquarks of the same flavor. This generalization is based on the symmetrization of the $N-$body wave function with respect to the symmetric group using the Barnea and Novoselsky algorithm. Our analysis shows that four-quark systems with non-exotic $2^{++}$ quantum numbers may be bound independently of the quark mass. $0^{+-}$ and $1^{+-}$ states become attractive only for larger quarks masses.
Harmonic Chain with Weak Dissipation
A. A. Lykov; V. A. Malyshev
2013-02-20T23:59:59.000Z
We consider finite harmonic chain (consisting of N classical particles) plus dissipative force acting on one particle (called dissipating particle) only. We want to prove that "in the generic case" the energy (per particle) for the whole system tends to zero in the large time limit and then in the large N limit. "In the generic case" means: for almost all initial conditions and for almost any choice of the dissipating particle, in the thermodynamic limit.
Killing vector fields and harmonic superfield theories
Groeger, Josua, E-mail: groegerj@mathematik.hu-berlin.de [Humboldt-Universität zu Berlin, Institut für Mathematik, Rudower Chaussee 25, 12489 Berlin (Germany)
2014-09-15T23:59:59.000Z
The harmonic action functional allows a natural generalisation to semi-Riemannian supergeometry, also referred to as harmonic, which resembles the supersymmetric sigma models studied in high energy physics. We show that Killing vector fields are infinitesimal supersymmetries of this harmonic action and prove three different Noether theorems in this context. En passant, we provide a homogeneous treatment of five characterisations of Killing vector fields on semi-Riemannian supermanifolds, thus filling a gap in the literature.
Extra Harmonic Vowel in Chicahuaxtla Trique
Matsukawa, Kosuke
2008-01-01T23:59:59.000Z
Extra Harmonic Vowel in Chicahuaxtla Trique1 Kosuke Matsukawa State University of New York at Albany 1. Introduction Chicahuaxtla Trique is spoken in Oaxaca, Mexico and belongs to the Trique language group of the Mixtecan family...). In Chicahuaxtla Trique, an extra harmonic vowel is added after a laryngealized vowel (either a glottalized vowel or an aspirated vowel) in a final syllable. The extra harmonic vowel does not exist in Copala Trique or Itunyoso Trique and is attached mostly...
Felkner, L. J.; Waggoner, R. M.
The control of harmonics in power systems continues to be a major concern in the telecommunications industry. AC/DC telecommunication conversion equipment has rarely been thought of as playing a major role in the harmonic interaction problem. Yet...
Harmonic Analysis Errors in Calculating Dipole,
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
to reduce the harmonic field calculation errors. A conformal transfor- mation of a multipole magnet into a dipole reduces these errors. Dipole Magnet Calculations A triangular...
Modulation compression for short wavelength harmonic generation
Qiang, J.
2010-01-01T23:59:59.000Z
Wavelength Harmonic Generation Ji Qiang Lawrence Berkeleyform a basis for fourth generation light source. Currently,e?ciency was proposed for generation of short wavelength
Harmonic Cheeger-Simons characters with applications
Richard Green; Varghese Mathai
2009-02-13T23:59:59.000Z
We initiate the study of harmonic Cheeger-Simons characters, with applications to smooth versions of the Geometric Langlands program in the abelian case.
Making space for harmonic oscillators
Michelotti, Leo; /Fermilab
2004-11-01T23:59:59.000Z
If we restrict the number of harmonic oscillator energy eigenstates to some finite value, N, then the discrete spectrum of the corresponding position operator comprise the roots of the Hermite polynomial H{sub N+1}. Its range is just large enough to accommodate classical motion at high energy. A negative energy term must be added to the Hamiltonian which affects only the last eigenstate, |N>, suggesting it is concentrated at the extrema of this finite ''space''. Calculations support a conjecture that, in the limit of large N, the global distribution of points approaches the differential form for classical action.
Harmonic potential and hadron spectroscopy
Rafael Tumanyan
2009-05-28T23:59:59.000Z
The quark-gluon sea in the hadrons is considered as periodically correlated. Energy levels of Shrodinger equation with harmonic potential is used for describing of the spectrum of hadron masses. In the considered cases the effective potential operating on each particle of ensemble, under certain conditions becomes square-law on displacement from a equilibrium point. It can become an explanation of popularity of oscillator potential for the description of a spectrum of masses of elementary particles. The analysis shows that levels of periodic potential better agreed to the spectrum of hadron masses, than levels of other potentials used for an explanation of a spectrum of masses.
Constructing Buildings and Harmonic Maps
Katzarkov, Ludmil; Pandit, Pranav; Simpson, Carlos
2015-01-01T23:59:59.000Z
In a continuation of our previous work, we outline a theory which should lead to the construction of a universal pre-building and versal building with a $\\phi$-harmonic map from a Riemann surface, in the case of two-dimensional buildings for the group $SL_3$. This will provide a generalization of the space of leaves of the foliation defined by a quadratic differential in the classical theory for $SL_2$. Our conjectural construction would determine the exponents for $SL_3$ WKB problems, and it can be put into practice on examples.
A Formal model to aid documenting and harmonizing of information
Zheng, Yuliang
A Formal model to aid documenting and harmonizing of information security requirements Jussipekka Information security development, harmonization of information security, organizational modeling 1 INTRODUCTION A formal top down model to harmonize and document information security requirements shall
HARMONIC MAPPINGS BETWEEN RIEMANNIAN MANIFOLDS Anand Arvind Joshi
Leahy, Richard M.
HARMONIC MAPPINGS BETWEEN RIEMANNIAN MANIFOLDS by Anand Arvind Joshi A Thesis Presented ii Abstract iv 1 Harmonic Mappings 1 1.1 Space of Maps Variation Formula . . . . . . . . . . . . . . . . . . . . . . . . 11 1.4 Harmonic Maps
Acoustoelectric Harmonic Generation in a Photoconductive Piezoelectric Semiconductor
Acoustoelectric Harmonic Generation in a Photoconductive Piezoelectric Semiconductor W. Arthur, R harmonics in the low frequency regime (. Piezoelectric semiconductors can exhibit harmonic generation because of interactions between the acoustic
Radiation reaction and quantum damped harmonic oscillator
F. Kheirandish; M. Amooshahi
2005-07-19T23:59:59.000Z
By taking a Klein-Gordon field as the environment of an harmonic oscillator and using a new method for dealing with quantum dissipative systems (minimal coupling method), the quantum dynamics and radiation reaction for a quantum damped harmonic oscillator investigated. Applying perturbation method, some transition probabilities indicating the way energy flows between oscillator, reservoir and quantum vacuum, obtained
Harmonic cascade FEL designs for LUX
2004-01-01T23:59:59.000Z
1.3: a fully 3D time-dependent FEL sim- ulation code, Nucl.a XUV/soft X-ray harmonic-cascade FEL for the proposed LBNLLBNL-56329 Harmonic cascade FEL designs for LUX G. Penn, M.
Impact of stray capacitance on hvdc harmonics
Larsen, E.V.; Sublich, M.; Kapoor, S.C.
1989-01-01T23:59:59.000Z
Recent experience suggests that a new approach is needed to determining harmonic generation from hvdc converters for the purpose of telephone interference evaluation. This paper presents simulation results showing the effect on harmonic generation of stray capacitances inherent to hvdc converters. These simulation results illustrate the basic characteristics of the phenomenon, which agree qualitatively with field experience.
CHAPLIN - Complex Harmonic Polylogarithms in Fortran
Stephan Buehler; Claude Duhr
2011-06-28T23:59:59.000Z
We present a new Fortran library to evaluate all harmonic polylogarithms up to weight four numerically for any complex argument. The algorithm is based on a reduction of harmonic polylogarithms up to weight four to a minimal set of basis functions that are computed numerically using series expansions allowing for fast and reliable numerical results.
advanced harmonic filter: Topics by E-print Network
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Hazem ZUBI Signature: 12;iv ABSTRACT LOWPASS BROADBAND HARMONIC FILTER DESIGN Zubi passive harmonic filter (IBF) for three phase diode rectifier front-end type adjustable speed...
A high-fidelity harmonic drive model.
Preissner, C.; Royston, T. J.; Shu, D. (APS Engineering Support Division); ( MCS); (Univ. of Illinois)
2012-01-01T23:59:59.000Z
In this paper, a new model of the harmonic drive transmission is presented. The purpose of this work is to better understand the transmission hysteresis behavior while constructing a new type of comprehensive harmonic drive model. The four dominant aspects of harmonic drive behavior - nonlinear viscous friction, nonlinear stiffness, hysteresis, and kinematic error - are all included in the model. The harmonic drive is taken to be a black box, and a dynamometer is used to observe the input/output relations of the transmission. This phenomenological approach does not require any specific knowledge of the internal kinematics. In a novel application, the Maxwell resistive-capacitor hysteresis model is applied to the harmonic drive. In this model, sets of linear stiffness elements in series with Coulomb friction elements are arranged in parallel to capture the hysteresis behavior of the transmission. The causal hysteresis model is combined with nonlinear viscous friction and spectral kinematic error models to accurately represent the harmonic drive behavior. Empirical measurements are presented to quantify all four aspects of the transmission behavior. These measurements motivate the formulation of the complete model. Simulation results are then compared to additional measurements of the harmonic drive performance.
Dual aperture dipole magnet with second harmonic component
Praeg, W.F.
1983-08-31T23:59:59.000Z
An improved dual aperture dipole electromagnet includes a second-harmonic frequency magnetic guide field winding which surrounds first harmonic frequency magnetic guide field windings associated with each aperture. The second harmonic winding and the first harmonic windings cooperate to produce resultant magnetic waveforms in the apertures which have extended acceleration and shortened reset portions of electromagnet operation.
Dual aperture dipole magnet with second harmonic component
Praeg, Walter F. (Palos Park, IL)
1985-01-01T23:59:59.000Z
An improved dual aperture dipole electromagnet includes a second-harmonic frequency magnetic guide field winding which surrounds first harmonic frequency magnetic guide field windings associated with each aperture. The second harmonic winding and the first harmonic windings cooperate to produce resultant magnetic waveforms in the apertures which have extended acceleration and shortened reset portions of electromagnet operation.
Local Harmonic Estimation in Musical Sound Rafael A. IRIZARRY
Irizarry, Rafael A.
Local Harmonic Estimation in Musical Sound Signals Rafael A. IRIZARRY Statistical modeling so a local harmonic model that tracks changes in pitch and in the amplitudes of the harmonics is fit estimates of the harmonic signal and of the noise signal. Different musical composition applications may
High-Order Harmonic Generation of Heteronuclear Diatomic Molecules
Chu, Shih-I
High-Order Harmonic Generation of Heteronuclear Diatomic Molecules in Intense Ultrashort Laser ionization (MPI) and high-order harmonic generation (HHG) processes of N2 and CO molecules in intense laser of the homonuclear N2 molecule can generate only odd harmonics, both even and odd harmonics can be produced from
SEVENTH HARMONIC 20 GHz CO-GENERATOR
Hirshfield, Jay L
2014-04-08T23:59:59.000Z
To satisfy the need for multi-MW rf sources in frequency ranges where commercial sources do not exist, a study was undertaken on a class of devices based on gyro-harmonic frequency multiplication. This mechanism relies upon adding energy in gyrating motion to a linear electron beam that traverses a rotating-mode TE111-mode drive cavity in a dc magnetic field. The beam then drifts along the magnetic field into a second cavity, operating in the TEn11-mode tuned to the nth harmonic of the drive cavity. Studies of this configuration have been carried out for 2 < n < 7. Results are given for multi-MW, efficient operation of a 7th harmonic device operating at 20 GHz, and a 2nd harmonic device operating at 22.4 GHz.
SPECTRAL APPROXIMATION OF TIME-HARMONIC MAXWELL ...
2014-10-25T23:59:59.000Z
the electric permittivity, ? is the frequency of the harmonic wave, n is the unit outward normal of D ... In order to deal with more general scatterers D and non-
boundary behavior of univalent harmonic mappings
1910-70-32T23:59:59.000Z
valent harmonic mapping f from the unit disk U “onto” a bounded convex ..... Our next result examines the stability of a function f given in The- orem 2 upon the ...
Localized waves with spherical harmonic symmetries
Mills, M. S.
We introduce a class of propagation invariant spatiotemporal optical wave packets with spherical harmonic symmetries in their field configurations. The evolution of these light orbitals is considered theoretically in ...
Harmonizing Systems and Software Cost Estimation
Wang, Gan
2009-07-19T23:59:59.000Z
The objective of this paper is to examine the gaps and overlaps between software and systems engineering cost models with intent to harmonize the estimates in engineering engineering estimation. In particular, we evaluate ...
Harmonic Representation of Combinations and Partitions
Michalis Psimopoulos
2011-03-01T23:59:59.000Z
In the present article a new method of deriving integral representations of combinations and partitions in terms of harmonic products has been established. This method may be relevant to statistical mechanics and to number theory.
An analysis of economic rationality in decision-making
Ladewig, Howard W
1970-01-01T23:59:59.000Z
of diffusion curve A generally accepted belief is that adoption of new farming practices follow an "S" or growth curve. Lionberger (1960:$3) points out that ordinarily adoptions start very slowly and then increase at an increasing rate until approximately... AND NUMBER OF FARMS IN THE NORTHERN HIGH PLAINS OF TEQB County Population" 1960 Number of Farms"* 1959 Number of Farms e" 1964 Dallam Hansford Moore Sherman Hartley Hemphill Hutchinson Lipscomb Ochiltree Oldham Roberts Total 6, 302 6...
Some examples of exponentially harmonic maps
A D Kanfon; A Füzfa; D Lambert
2002-05-15T23:59:59.000Z
The aim of this paper is to study some examples of exponentially harmonic maps. We study such maps firstly on flat euclidean and Minkowski spaces and secondly on Friedmann-Lema\\^ itre universes. We also consider some new models of exponentially harmonic maps which are coupled with gravity which happen to be based on a generalization of the lagrangian for bosonic strings coupled with dilatonic field.
HARMONIC CAVITY PERFORMANCE FOR NSLS-II
BLEDNYKH, A.; KRINSKY, S.; PODOBEDOV, B.; ROSE, J.; TOWNE, N.; WANG, J.M.
2005-05-15T23:59:59.000Z
NSLS-II is a 3 GeV ultra-high brightness storage ring planned to succeed the present NSLS rings at BNL. Ultralow emittance combined with short bunch length means that it is critical to minimize the effects of Touschek scattering and coherent instabilities. Improved lifetime and stability can be achieved by including a third-harmonic RF cavity in the baseline design. This paper describes the required harmonic RF parameters and the expected system performance.
Coherent states for the nonlinear harmonic oscillator
Ghosh, Subir [Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108 (India)
2012-06-15T23:59:59.000Z
Wave packets for the quantum nonlinear oscillator are considered in the generalized coherent state framework. To first order in the nonlinearity parameter the coherent state behaves very similar to its classical counterpart. The position expectation value oscillates in a simple harmonic manner. The energy-momentum uncertainty relation is time independent as in a harmonic oscillator. Various features (such as the squeezed state nature) of the coherent state have been discussed.
Nonlinearly driven harmonics of Alfvén modes
Zhang, B., E-mail: bozhang@austin.utexas.edu; Breizman, B. N.; Zheng, L. J.; Berk, H. L. [Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States)] [Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States)
2014-01-15T23:59:59.000Z
In order to study the leading order nonlinear magneto-hydrodynamic (MHD) harmonic response of a plasma in realistic geometry, the AEGIS code has been generalized to account for inhomogeneous source terms. These source terms are expressed in terms of the quadratic corrections that depend on the functional form of a linear MHD eigenmode, such as the Toroidal Alfvén Eigenmode. The solution of the resultant equation gives the second order harmonic response. Preliminary results are presented here.
Cabral, Marco
Harmonic Functions are Real Analytic1 On this very short note we prove that harmonic functions prove Lemma 1 using the mean value property of harmonic functions, Green's theorem and the maximum principle. Lemma 1 (estimate on first derivative) Suppose w is harmonic in Rn , > 0, y and B
High-harmonic spectroscopy of molecular isomers
Wong, M. C. H.; Brichta, J.-P.; Bhardwaj, V. R. [Department of Physics, University of Ottawa, 150 Louis-Pasteur, Ottawa, Ontario, K1N 6N5 (Canada); Spanner, M.; Patchkovskii, S. [National Research Council of Canada, 100 Sussex Drive, Ottawa, Ontario, K1A 0R6 (Canada)
2011-11-15T23:59:59.000Z
We demonstrate that high-order-harmonic generation (HHG) spectroscopy can be used to probe stereoisomers of randomly oriented 1,2-dichloroethylene (C{sub 2}H{sub 2}Cl{sub 2}) and 2-butene (C{sub 4}H{sub 8}). The high-harmonic spectra of these isomers are distinguishable over a range of laser intensities and wavelengths. Time-dependent numerical calculations of angle-dependent ionization yields for 1,2-dichloroethylene suggest that the harmonic spectra of molecular isomers reflect differences in their strong-field ionization. The subcycle ionization yields for the cis isomer are an order of magnitude higher than those for the trans isomer. The sensitivity in discrimination of the harmonic spectra of cis- and trans- isomers is greater than 8 and 5 for 1,2-dichloroethylene and 2-butene, respectively. We show that HHG spectroscopy cannot differentiate the harmonic spectra of the two enantiomers of the chiral molecule propylene oxide (C{sub 3}H{sub 6}O).
Son, Dong Hee; Wittenberg, Joshua S.; Banin, Uri; Alivisatos, A. Paul
2006-01-01T23:59:59.000Z
Second harmonic generation and confined acoustic phonons inenhancement of second harmonic generation, and the effect ofmeasurements. The second harmonic signal showed a sublinear
Milosevic, D. B. [Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo (Bosnia and Herzegowina); Max-Born-Institut, Max-Born-Str. 2a, D-12489 Berlin (Germany)
2010-02-15T23:59:59.000Z
Experimentally observed strong enhancement of a single high-order harmonic in harmonic generation from low-ionized laser plasma ablation is explained as resonant harmonic generation. The resonant harmonic intensity increases regularly with the increase of the laser intensity, while the phase of the resonant harmonic is almost independent of the laser intensity. This is in sharp contrast with the usual plateau and cutoff harmonics, the intensity of which exhibits wild oscillations while its phase changes rapidly with the laser intensity. The temporal profile of a group of harmonics, which includes the resonant harmonic, has the form of a broad peak in each laser-field half cycle. These characteristics of resonant harmonics can have an important application in attoscience. We illustrate our results using examples of Sn and Sb plasmas.
Plasmon signatures in high harmonic generation
J. Zanghellini; Ch. Jungreuthmayer; T. Brabec
2005-12-12T23:59:59.000Z
High harmonic generation in polarizable multi-electron systems is investigated in the framework of multi-configuration time-dependent Hartree-Fock. The harmonic spectra exhibit two cut offs. The first cut off is in agreement with the well established, single active electron cut off law. The second cut off presents a signature of multi-electron dynamics. The strong laser field excites non-linear plasmon oscillations. Electrons that are ionized from one of the multi-plasmon states and recombine to the ground state gain additional energy, thereby creating the second plateau.
Spherical Harmonic Decomposition on a Cubic Grid
Charles W. Misner
1999-10-12T23:59:59.000Z
A method is described by which a function defined on a cubic grid (as from a finite difference solution of a partial differential equation) can be resolved into spherical harmonic components at some fixed radius. This has applications to the treatment of boundary conditions imposed at radii larger than the size of the grid, following Abrahams, Rezzola, Rupright et al.(gr-qc/9709082}. In the method described here, the interpolation of the grid data to the integration 2-sphere is combined in the same step as the integrations to extract the spherical harmonic amplitudes, which become sums over grid points. Coordinates adapted to the integration sphere are not needed.
accounting standards harmonization: Topics by E-print Network
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
numbers were Introduced by Ore 6 In 1948, though not under that name. A natural number n is harmonic if the harmonic mean of its positive divisors is an integer....
Second Harmonic Generation Studies of Fe(II) Interactions with...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Second Harmonic Generation Studies of Fe(II) Interactions with Hematite (?-Fe2O3). Second Harmonic Generation Studies of Fe(II) Interactions with Hematite (?-Fe2O3)....
Parametric Estimation of Harmonically Related Sinusoids
Dixit, Richa
2010-04-01T23:59:59.000Z
Mud-pulse telemetry is a method used for measurement-while-drilling (MWD)in the oil industry. The telemetry signals are corrupted by spurious mud pump noise consisting of a large number of harmonically related sinusoids. In order to denoise...
Harmonic Fluids Changxi Zheng Doug L. James
Columbia University
Harmonic Fluids Changxi Zheng Doug L. James Cornell University Abstract Fluid sounds- ing. Furthermore, while offline applications can rely on talented foley artists to "cook up" plausible for vortex-based fluid sounds [Dobashi et al. 2003] and solid bodies [O'Brien et al. 2001; James et al. 2006
Markovian evolution of strongly coupled harmonic oscillators
Chaitanya Joshi; Patrik Ohberg; James D. Cresser; Erika Andersson
2014-12-16T23:59:59.000Z
We investigate how to model Markovian evolution of coupled harmonic oscillators, each of them interacting with a local environment. When the coupling between the oscillators is weak, dissipation may be modeled using local Lindblad terms for each of the oscillators in the master equation, as is commonly done. When the coupling between oscillators is strong, this model may become invalid. We derive a master equation for two coupled harmonic oscillators which are subject to individual heat baths modeled by a collection of harmonic oscillators, and show that this master equation in general contains non-local Lindblad terms. We compare the resulting time evolution with that obtained for dissipation through local Lindblad terms for each individual oscillator, and show that the evolution is different in the two cases. In particular, the two descriptions give different predictions for the steady state and for the entanglement between strongly coupled oscillators. This shows that when describing strongly coupled harmonic oscillators, one must take great care in how dissipation is modeled, and that a description using local Lindblad terms may fail. This may be particularly relevant when attempting to generate entangled states of strongly coupled quantum systems.
Compatibility of radial, Lorenz and harmonic gauges
Elena Magliaro; Claudio Perini; Carlo Rovelli
2007-05-07T23:59:59.000Z
We observe that the radial gauge can be consistently imposed \\emph{together} with the Lorenz gauge in Maxwell theory, and with the harmonic traceless gauge in linearized general relativity. This simple observation has relevance for some recent developments in quantum gravity where the radial gauge is implicitly utilized.
Yan, Jun
2012-07-16T23:59:59.000Z
design methodology of sinusoidal oscillator named digital-harmonic-cancellation (DHC) technique is presented. DHC technique is realized by summing up a set of square-wave signals with different phase shifts and different summing coefficient to cancel...
Physics 5B Winter 2009 Solving the Simple Harmonic Oscillator
California at Santa Cruz, University of
Physics 5B Winter 2009 Solving the Simple Harmonic Oscillator 1. The harmonic oscillator solution: displacement as a function of time We wish to solve the equation of motion for the simple harmonic oscillator shall employ for solving this di#erential equation is called the method of inspired guessing. In class
Physics 5B Winter 2009 Solving the Simple Harmonic Oscillator
California at Santa Cruz, University of
Physics 5B Winter 2009 Solving the Simple Harmonic Oscillator 1. The harmonic oscillator solution: displacement as a function of time We wish to solve the equation of motion for the simple harmonic oscillator employ for solving this differential equation is called the method of inspired guessing. In class, we
Selective compensation of voltage harmonics in grid-connected microgrids
Vasquez, Juan Carlos
1 Selective compensation of voltage harmonics in grid-connected microgrids Mehdi Savaghebia , Juan is proposed for selective compensation of main voltage harmonics in a grid- connected microgrid. The aim level. Keywords Distributed Generator (DG); microgrid; grid-connected; voltage harmonics compensation. 1
Approximation of Harmonic Maps and Wave Maps Soren Bartels
Bartels, Soeren
Approximation of Harmonic Maps and Wave Maps SÂ¨oren Bartels Partial differential equations to certain boundary condtions. If X = then critical points u : N are called harmonic maps into N, Â·) = u0, tu(0, Â·) = v0. To approximate harmonic maps or wave maps we consider a regular triangula- tion
Isolated attosecond pulses using a detuned second-harmonic field
Neumark, Daniel M.
Isolated attosecond pulses using a detuned second-harmonic field Hamed Merdji,1,2, * Thierry 2 . The slight detuning of the second harmonic is used to break the symmetry of the electric field-order harmonics generation (HHG) of intense laser pulses in gases is attracting much attention due to both
Tracking butterfly flight paths across the landscape with harmonic radar
Northampton, University of
Tracking butterfly flight paths across the landscape with harmonic radar E. T. Cant1,*, A. D. Smith of five butterfly species were successfully tracked using harmonic radar within an agricultural landscape. Keywords: butterfly flight; harmonic radar; linear landscape features; Aglais urticae; Inachis io 1
The Harmonic Series Diverges Again and Again Steven J. Kifowit
California at Santa Cruz, University of
The Harmonic Series Diverges Again and Again Steven J. Kifowit Prairie State College Terra A. Stamps Prairie State College The harmonic series, n=1 1 n = 1 + 1 2 + 1 3 + 1 4 + 1 5 + Â· Â· Â· , is one, the harmonic series provides the instructor with a wealth of opportunities. The leaning tower of lire (Johnson
Second harmonic imaging of membrane potential of neurons with retinal
Columbia University
Second harmonic imaging of membrane potential of neurons with retinal Boaz A. Nemet Volodymyr of neurons, using the nonlinear optical phenom- enon of second harmonic generation (SHG) with a photopigment reti- nal as the chromophore [second harmonic retinal imaging of mem- brane potential (SHRIMP)]. We
Harmonic moment dynamics in Laplacian growth Alexander Leshchiner,1
Texas at Austin. University of
Harmonic moment dynamics in Laplacian growth Alexander Leshchiner,1 Matthew Thrasher,1 Mark B received 12 November 2009; published 12 January 2010 Harmonic moments are integrals of integer powers of z horizontal closely spaced plates. Harmonic moments are a natural basis for such Laplacian growth phenomena
Temporal-Harmonic Specific POD Mode Extraction Gilead Tadmor
Dabiri, John O.
Temporal-Harmonic Specific POD Mode Extraction Gilead Tadmor and Daniel Bissex Electrical changes the systems mean field changes significantly, as does the leading shedding harmonic4 , once mode pair will capture harmonically rich time dynamics, reflecting a spatial mix of multiple vortical
Pipe-type cable ampacities in the presence of harmonics
Palmer, J.A.; Degeneff, R.C. (Rensselaer Polytechnic Inst., Troy, NY (United States)); McKernan, T.M.; Halleran, T.M. (Consolidated Edison Co. of NY, Inc., New York, NY (United States))
1993-10-01T23:59:59.000Z
This paper explores the effect of harmonics on HPFF pipe-type transmission cable ampacity. Industry currently calculates the current carrying capacity of underground cable based on the assumption of a purely sinusoidal 60k Hz. current. However, increasing levels of harmonics on power systems have raised concern about their effect on cable ampacities. The issue has already been addressed for distribution cables. This paper begins with a discussion of Neher and McGrath's classic equations and some recent revisions, and develops a closed form composite equations accurately reflecting the effect of harmonics. The effect of frequency on the loss ratio is shown and supported by comparison with measured data at 60 Hz. and a finite element analysis at a number of harmonic frequencies. The effect of specific harmonic scenarios is shown in light of the IEEE standard on harmonics. The results are used to develop a derating factor to compensate for current harmonics on transmission systems.
Generalized harmonic formulation in spherical symmetry
Evgeny Sorkin; Matthew W. Choptuik
2010-04-30T23:59:59.000Z
In this pedagogically structured article, we describe a generalized harmonic formulation of the Einstein equations in spherical symmetry which is regular at the origin. The generalized harmonic approach has attracted significant attention in numerical relativity over the past few years, especially as applied to the problem of binary inspiral and merger. A key issue when using the technique is the choice of the gauge source functions, and recent work has provided several prescriptions for gauge drivers designed to evolve these functions in a controlled way. We numerically investigate the parameter spaces of some of these drivers in the context of fully non-linear collapse of a real, massless scalar field, and determine nearly optimal parameter settings for specific situations. Surprisingly, we find that many of the drivers that perform well in 3+1 calculations that use Cartesian coordinates, are considerably less effective in spherical symmetry, where some of them are, in fact, unstable.
Prolate spheroidal harmonic expansion of gravitational field
Fukushima, Toshio, E-mail: Toshio.Fukushima@nao.ac.jp [National Astronomical Observatory, Ohsawa, Mitaka, Tokyo 181-8588 (Japan)
2014-06-01T23:59:59.000Z
As a modification of the oblate spheroidal case, a recursive method is developed to compute the point value and a few low-order derivatives of the prolate spheroidal harmonics of the second kind, Q{sub nm} (y), namely the unnormalized associated Legendre function (ALF) of the second kind with its argument in the domain, 1 < y < ?. They are required in evaluating the prolate spheroidal harmonic expansion of the gravitational field in addition to the point value and the low-order derivatives of P-bar {sub nm}(t), the 4? fully normalized ALF of the first kind with its argument in the domain, |t| ? 1. The new method will be useful in the gravitational field computation of elongated celestial objects.
Harmonic polylogarithms for massive Bhabha scattering
M. Czakon; J. Gluza; T. Riemann
2005-08-19T23:59:59.000Z
One- and two-dimensional harmonic polylogarithms, HPLs and GPLs, appear in calculations of multi-loop integrals. We discuss them in the context of analytical solutions for two-loop master integrals in the case of massive Bhabha scattering in QED. For the GPLs we discuss analytical representations, conformal transformations, and also their transformations corresponding to relations between master integrals in the s- and t-channel.
${\\cal D}$-deformed harmonic oscillators
F. Bagarello; F. Gargano; D. Volpe
2014-12-30T23:59:59.000Z
We analyze systematically several deformations arising from two-dimensional harmonic oscillators which can be described in terms of $\\cal{D}$-pseudo bosons. They all give rise to exactly solvable models, described by non self-adjoint hamiltonians whose eigenvalues and eigenvectors can be found adopting the quite general framework of the so-called $\\cal{D}$-pseudo bosons. In particular, we show that several models previously introduced in the literature perfectly fit into this scheme.
Breuer, G D; Chow, J H; Lindh, C B; Miller, N W; Numrich, F H; Price, W W; Turner, A E; Whitney, R R
1982-09-01T23:59:59.000Z
Improved methods are needed to characterize ac system harmonic behavior for ac filter design for HVDC systems. The purpose of this General Electric Company RP1138 research is to evaluate the present filter design practice and to investigate methods for calculating system harmonic impedances. An overview of ac filter design for HVDC systems and a survey of literature related to filter design have been performed. Two methods for calculating system harmonic impedances have been investigated. In the measurement method, an instrumentation system for measuring system voltage and current has been assembled. Different schemes of using the measurements to calculate system harmonic impedances have been studied. In the analytical method, a procedure to include various operating conditions has been proposed. Computer programs for both methods have been prepared, and the results of the measurement and analytical methods analyzed. A conclusion of the project is that the measurement and analytical methods both provided reasonable results. There are correlations between the measured and analytical results for most harmonics, although there are discrepancies between the assumptions used in the two methods. A sensitivity approach has been proposed to further correlate the results. From the results of the analysis, it is recommended that both methods should be tested further. For the measurement method, more testing should be done to cover different system operating conditions. In the analytical method, more detailed models for representing system components should be studied. In addition, alternative statistical and sensitivity approaches should be attempted.
Oldham County, Kentucky: Energy Resources | Open Energy Information
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page onYou are now leaving Energy.gov You are now leaving Energy.gov YouKizildere I Geothermal Pwer PlantMunhall,Missouri: EnergyExcellenceOffice of StateOklahomaField,Olde West Chester,
Oldham County, Texas: Energy Resources | Open Energy Information
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page onYou are now leaving Energy.gov You are now leaving Energy.gov YouKizildere I Geothermal Pwer PlantMunhall,Missouri: EnergyExcellenceOffice of StateOklahomaField,Olde West Chester,Texas:
Transition to the Relativistic Regime in High Order Harmonic Generation
Tarasevitch, Alexander; Lobov, Konstantin; Wuensche, Clemens; Linde, Dietrich von der [Institut fuer Experimentelle Physik, Universitaet Duisburg-Essen, D-47048 Duisburg (Germany)
2007-03-09T23:59:59.000Z
Experiments and computer simulations on the generation of high order harmonics from steep plasma gradients using intense femtosecond laser pulses are presented. Qualitative changes in the harmonic emission take place when the intensities are increased above 10{sup 19} W/cm{sup 2} and/or the plasma scale length is varied. Good agreement between experimental and calculated spectra makes it possible to clearly distinguish between nonrelativistic and relativistic mechanisms of harmonic generation.
alternating phase harmonic: Topics by E-print Network
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
the effects of harmonics on their systems: telephone noise, excessive heating of transformers and other equipment, capacitor damage, and others, and would like to limit the...
Simple connection between Faddeev's and the K-harmonic approaches
Coelho, H.T.; Gloeckle, W.; Delfino, A.
1980-10-01T23:59:59.000Z
By employing a system for three bound identical bosons, a simple connection is made between Faddeev's and the K-harmonic approaches.
Analysis and Design of New Harmonic Mitigation Approaches
Aeloiza Matus, Eddy 1972-
2012-11-01T23:59:59.000Z
-pulse rectifiers are based on the principle of harmonic cancellation through phase shifting and are the preferred solution to eliminate harmonics in high power converters in large motor drives, electro-winning rectifiers and HVDC transmission systems [23...-voltage systems can have up to 2.0% THD where the cause is an HVDC terminal that will attenuate by the time it is tapped for user. Individual Harmonic Order (Odd Harmonics) Isc / IL <11 11 ? h"? 17 17 ? h"? 23 23 ? h"? 35 h"? 35 TDD <20 * 4.0 2...
Algal Supply System Design - Harmonized Version
Abodeely, Jared; Stevens, Daniel; Ray, Allison; Newby, Deborah; Schaller, Kastli
2013-03-01T23:59:59.000Z
The objective of this design report is to provide an assessment of current technologies used for production, dewatering, and converting microalgae cultivated in open-pond systems to biofuel. The original draft design was created in 2011 and has subsequently been brought into agreement with the DOE harmonized model. The design report extends beyond this harmonized model to discuss some of the challenges with assessing algal production systems, including the ability to (1) quickly assess alternative algal production system designs, (2) assess spatial and temporal variability, and (3) perform large-scale assessments considering multiple scenarios for thousands of potential sites. The Algae Logistics Model (ALM) was developed to address each of these limitations of current modeling efforts to enable assessment of the economic feasibility of algal production systems across the United States. The (ALM) enables (1) dynamic assessments using spatiotemporal conditions, (2) exploration of algal production system design configurations, (3) investigation of algal production system operating assumptions, and (4) trade-off assessments with technology decisions and operating assumptions. The report discusses results from the ALM, which is used to assess the baseline design determined by harmonization efforts between U.S. DOE national laboratories. Productivity and resource assessment data is provided by coupling the ALM with the Biomass Assessment Tool developed at PNNL. This high-fidelity data is dynamically passed to the ALM and used to help better understand the impacts of spatial and temporal constraints on algal production systems by providing a cost for producing extracted algal lipids annually for each potential site.
Harmonic pinnacles in the Discrete Gaussian model
Eyal Lubetzky; Fabio Martinelli; Allan Sly
2014-05-20T23:59:59.000Z
The 2D Discrete Gaussian model gives each height function $\\eta : \\mathbb{Z}^2\\to\\mathbb{Z}$ a probability proportional to $\\exp(-\\beta \\mathcal{H}(\\eta))$, where $\\beta$ is the inverse-temperature and $\\mathcal{H}(\\eta) = \\sum_{x\\sim y}(\\eta_x-\\eta_y)^2$ sums over nearest-neighbor bonds. We consider the model at large fixed $\\beta$, where it is flat unlike its continuous analog (the Gaussian Free Field). We first establish that the maximum height in an $L\\times L$ box with 0 boundary conditions concentrates on two integers $M,M+1$ with $M\\sim \\sqrt{(1/2\\pi\\beta)\\log L\\log\\log L}$. The key is a large deviation estimate for the height at the origin in $\\mathbb{Z}^2$, dominated by "harmonic pinnacles", integer approximations of a harmonic variational problem. Second, in this model conditioned on $\\eta\\geq 0$ (a floor), the average height rises, and in fact the height of almost all sites concentrates on levels $H,H+1$ where $H\\sim M/\\sqrt{2}$. This in particular pins down the asymptotics, and corrects the order, in results of Bricmont, El-Mellouki and Fr\\"ohlich (1986), where it was argued that the maximum and the height of the surface above a floor are both of order $\\sqrt{\\log L}$. Finally, our methods extend to other classical surface models (e.g., restricted SOS), featuring connections to $p$-harmonic analysis and alternating sign matrices.
Harmonic-Oscillator-Based Effective Theory
W. C. Haxton
2006-08-06T23:59:59.000Z
I describe harmonic-oscillator-based effective theory (HOBET) and explore the extent to which the effects of excluded higher-energy oscillator shells can be represented by a contact-gradient expansion in next-to-next-to-leading order (NNLO). I find the expansion can be very successful provided the energy dependence of the effective interaction, connected with missing long-wavelength physics associated with low-energy breakup channels, is taken into account. I discuss a modification that removes operator mixing from HOBET, simplifying the task of determining the parameters of an NNLO interaction.
Harmon, Illinois: Energy Resources | Open Energy Information
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page onYou are now leaving Energy.gov You are now leaving Energy.gov You are8COaBulkTransmissionSitingProcess.pdfGetec AG| OpenInformation Handbook forHansung ANewHardyCounty,Harmon,
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5Sales for4,645U.S. DOE Office of Science (SC) EnvironmentalGyroSolÃ©(tm) Harmonic Engine GyroSolÃ©(tm) engine * Simple * Efficient
Limitations and improvements for harmonic generation measurements
Best, Steven; Croxford, Anthony; Neild, Simon [Department of Mechanical Engineering, Queens Building, University Walk, Bristol BS8 1TR (United Kingdom)
2014-02-18T23:59:59.000Z
A typical acoustic harmonic generation measurement comes with certain limitations. Firstly, the use of the plane wave-based analysis used to extract the nonlinear parameter, ?, ignores the effects of diffraction, attenuation and receiver averaging which are common to most experiments, and may therefore limit the accuracy of a measurement. Secondly, the method usually requires data obtained from a through-transmission type setup, which may not be practical in a field measurement scenario where access to the component is limited. Thirdly, the technique lacks a means of pinpointing areas of damage in a component, as the measured nonlinearity represents an average over the length of signal propagation. Here we describe a three-dimensional model of harmonic generation in a sound beam, which is intended to provide a more realistic representation of a typical experiment. The presence of a reflecting boundary is then incorporated into the model to assess the feasibility of performing single-sided measurements. Experimental validation is provided where possible. Finally, a focusing acoustic source is modelled to provide a theoretical indication of the afforded advantages when the nonlinearity is localized.
Design study of the bending sections between harmonic cascade FEL stages
Wan, Weishi; Corlett, John; Fawley, William; Zholents, A.
2004-01-01T23:59:59.000Z
A XUV/Soft X-Ray Harmonic- Cascade FEL for the Proposed LBNLin a Cascaded Harmonic FEL CBP Tech Note-281, Februarybetween Harmonic Cascade FEL Stages W. Wan, J. Corlett, W.
Complex harmonic wave scattering asthe framework for investigation of bounded beam reflection their pro- files.We will verifythesestatementswith a largenumberof illustrations. I. COMPLEX HARMONIC WAVE REFLECTION AND TRANSMISSION A. Representation of a complex harmonic wave in a viscoelastic medium
Antonietta Vincenti, Maria; Campione, Salvatore; de Ceglia, Domenico; Capolino, Filippo; Scalora, Michael
2012-01-01T23:59:59.000Z
from metal shells 3.1. Second-harmonic generation from gold3.2. Third-harmonic generation from golddriven second- and third-harmonic generation at ?-near-zero
Nelson, Christopher Scott; Nelson, Christopher Scott
2012-01-01T23:59:59.000Z
3.2 Simple Cases of Non-Commutative -Harmonic Polyno-3.2.2 1-Harmonic Polynomials . . . . . . . . . . .1.2.1 Non-Commutative Harmonic and Subharmonic Poly-
North-South Standards Harmonization and International Trade
Paris-Sud XI, Université de
North-South Standards Harmonization and International Trade Olivier CADOT Lausanne University Anne,version1-20Mar2014 #12;1 North-South Standards Harmonization and International Trade Anne-Célia Disdier investigate whether the technical requirements contained in North-South Agreements affect international trade
Power line harmonic radiation (PLHR) observed by the DEMETER spacecraft
Santolik, Ondrej
Power line harmonic radiation (PLHR) observed by the DEMETER spacecraft F. Nemec,1,2 O. SantoliÂ´k,3 January 2006; published 22 April 2006. [1] Results of a systematic survey of Power Line Harmonic Radiation from the electric power systems which are magnetically conjugated with the place of observation
Power line harmonic radiation: A systematic study using DEMETER spacecraft
Santolik, Ondrej
Power line harmonic radiation: A systematic study using DEMETER spacecraft F. Nemec a,b,*, O of a systematic survey of Power line harmonic radiation (PLHR) observed by the DEMETER spacecraft. DEME- TER frequency spacing corresponds well to the power system frequency at anticipated source locations. Moreover
Propagation of nonlinearly generated harmonic spin waves in microscopic stripes
Otani, Yoshichika
Propagation of nonlinearly generated harmonic spin waves in microscopic stripes O. Rousseau,1 M on the experimental study of the propagation of nonlinearly generated harmonic spin waves in microscopic CoFeB stripes wave propagation. VC 2014 AIP Publishing LLC. [http://dx.doi.org/10.1063/1.4864480] In recent years
Harmonic minimization waveforms for modulated heating experiments at HAARP
Harmonic minimization waveforms for modulated heating experiments at HAARP G. Jin,1 M. Spasojevic,1), Harmonic minimization waveforms for modulated heating experiments at HAARP, J. Geophys. Res., 117, A11315 and Stubbe [1984], and Milikh et al. [1999]. The High Fre- quency Active Auroral Research Program (HAARP
Higher order harmonic detection for exploring nonlinear interactions
Vasudevan, Rama K [ORNL; Okatan, M. B. [University of New South Wales; Rajapaksa, Indrajit [Oak Ridge National Laboratory (ORNL); Kim, Yunseok [ORNL; Marincel, Dan [Materials Science and Engineering, Pennsylvania State University; Trolier-McKinstry, Susan [Pennsylvania State University; Jesse, Stephen [ORNL; Nagarajan, Valanoor [University of New South Wales; Kalinin, Sergei V [ORNL
2013-01-01T23:59:59.000Z
Nonlinear dynamics underpin a vast array of physical phenomena ranging from interfacial motion to jamming transitions. In many cases, decoupling the contributions of competing or co-existing mechanisms to the system response can be achieved through investigation of higher order harmonics. Here, a method using band excitation scanning probe microscopy to investigate higher order harmonics of the electromechanical response, with nanometer scale spatial resolution is presented. The utility of the technique is demonstrated by probing the first three harmonics of strain for a well-known system, a model Pb(Zr1-xTix)O3 ferroelectric capacitor. It is shown that the second order harmonic response is correlated with the first harmonic response, whereas the third harmonic is not. Additionally, nanoscale measurements of the second harmonic response with field reveal significant deviations from Rayleigh-type models in the form of a much more complicated field dependence than is observed in the spatially averaged data. These results illustrate the versatility of combining proximal probe techniques with nth harmonic detection methods in exploring and decoupling nonlinear dynamics in a wide variety of nanoscale materials.
Spectrum of second-harmonic radiation generated from incoherent light
Stabinis, A.; Pyragaite, V.; Tamosauskas, G.; Piskarskas, A. [Department of Quantum Electronics, Vilnius University, Sauletekio Avenue 9, Building 3, LT-10222 Vilnius (Lithuania)
2011-10-15T23:59:59.000Z
We report on the development of the theory of second-harmonic generation by an incoherent pump with broad angular and frequency spectra. We show that spatial as well as temporal walk-off effects in a nonlinear crystal result in angular dispersion of the second-harmonic radiation. We demonstrate that the acceptance angle in second-harmonic generation by incoherent light is caused by the width of the pump angular spectrum and the resulting angular dispersion of second-harmonic radiation but does not depend on crystal length. In this case the frequency spectrum of second-harmonic radiation is determined by its angular dispersion and the pump angular spectrum. The theory is supported by an experiment in which a LiIO{sub 3} crystal was pumped by a tungsten halogen lamp.
Commissioning of a higher harmonic RF system for the Advanced Light Source
Byrd, John M.; De Santis, Stefano; Georgsson, Mattias; Stover, G.; Fox, John D.; Teytelman, Dmitry
2000-01-01T23:59:59.000Z
Commissioning of a higher harmonic RF system for theAbstract We report on the commissioning of a higher harmonicpresents the results of commissioning of the ALS harmonic
Hierarchical Control Scheme for Voltage Harmonics Compensation in an Islanded Droop-
Vasquez, Juan Carlos
Hierarchical Control Scheme for Voltage Harmonics Compensation in an Islanded Droop- Controlled on the resistance emulation. Furthermore, a droop characteristic based on DG harmonic reactive power has been
Relativistic harmonic oscillator model for quark stars
Vishnu M. Bannur
2008-10-06T23:59:59.000Z
The relativistic harmonic oscillator (RHO) model of hadrons is used to study quark stars. The mass-radius relationship is obtained and compared with bag model of quark star, using Tolman-Oppenheimer-Volkoff equation. In this model, the outward degenerate pressure due to discrete Landau levels and Landau degeneracy balances the inward gravitational pressure. Where as in bag model the degenerate pressure is due to the standard continuum levels which balances the combined inward pressure due to gravitation and bag pressure. So in RHO model, the confinement effect is included in the degenerate pressure. We found a qualitative similarity, but quantitative differences in mass-radius relationship of quark stars in these two models. Masses and radii are relatively larger and the central energy densities, required for stable quark stars, are lower in RHO model than that of bag model.
Xiang, D.; Colby, E.; Dunning, M.; Gilevich, S.; Hast, C.; Jobe, K.; McCormick, D.; Nelson, J.; Raubenheimer, T.O.; Soong, K.; Stupakov, G.; Szalata, Z.; Walz, D.; Weathersby, S.; Woodle, M.; /SLAC; ,
2012-02-15T23:59:59.000Z
Echo-enabled harmonic generation free electron lasers hold great promise for the generation of fully coherent radiation in x-ray wavelengths. Here we report the first evidence of high harmonics from the echo-enabled harmonic generation technique in the realistic scenario where the laser energy modulation is comparable to the beam slice energy spread. In this experiment, coherent radiation at the seventh harmonic of the second seed laser is generated when the energy modulation amplitude is about 2-3 times the slice energy spread. The experiment confirms the underlying physics of echo-enabled harmonic generation and may have a strong impact on emerging seeded x-ray free electron lasers that are capable of generating laserlike x rays which will advance many areas of science.
Topics in Vision and Richard Hartley
Li, Hongdong
motor · Brake linear actuator Experimental Vehicle #12;Speed Sign Detection& Recognition High, areas · Circles remain circles · Straight lines remain lines #12;Concepts of Euclidean Geometry ·Circle undergo when you take an image of it with a pinhole camera? #12;Parallel lines are not preserved #12
SU(4) harmonic superspace and supersymmetric gauge theory
B. M. Zupnik
2014-10-10T23:59:59.000Z
We consider the harmonic-superspace formalism in the $N=4$ supersymmetry using the $SU(4)/SU(2)\\times SU(2)\\times U(1)$ harmonics which was earlier applied to the abelian gauge theory. The N=4 non-abelian constraints in a standard superspace are reformulated as the harmonic-superspace equations for two basic analytic superfields: the independent superfield strength W of a dimension 1 and the dimensionless harmonic gauge 4-prepotential V having the $U(1)$ charge 2. These constraint equations I manifestly depend on the Grassmann coordinates $\\theta$, although they are covariant under the unusual N=4 supersymmetry transformations. We analyze an alternative harmonic formalism of the supergauge theory for two unconstrained nonabelian analytic superfields W and V. The gauge-invariant action A(W,V) in this formalism contains $\\theta$ factors in each term, it is invariant under the $SU(4)$ automorphism group. In this model, the interaction of two infinite-dimensional N=4 supermultiplets with the physical and auxiliary fields arises at the level of component fields. The action A(W,V) generate analytic equations of motion II alternative to the harmonic-superspace superfield constraints I. Both sets of equations give us the equivalent equations for the physical component fields of the $N=4$ gauge supermultiplet, they connect auxiliary and physical fields of two superfields. The nonlinear effective interaction of the abelian harmonic superfield W is constructed.
Relativistic high harmonic generation in gas jet targets
Pirozhkov, A.S.; Kando, M.; Esirkepov, T.Zh.; and others
2012-07-11T23:59:59.000Z
We experimentally demonstrate a new regime of high-order harmonic generation by relativistic-irradiance lasers in gas jet targets. Bright harmonics with both odd and even orders, generated by linearly as well as circularly polarized pulses, are emitted in the forward direction, while the base harmonic frequency is downshifted. A 9 TW laser generates harmonics up to 360 eV, within the 'water window' spectral region. With a 120 TW laser producing 40 uJ/sr per harmonic at 120 eV, we demonstrate the photon number scalability. The observed harmonics cannot be explained by previously suggested scenarios. A novel high-order harmonics generation mechanism [T. Zh. Esirkepov et al., AIP Proceedings, this volume], which explains our experimental findings, is based on the phenomena inherent in the relativistic laser - underdense plasma interactions (self-focusing, cavity evacuation, and bow wave generation), mathematical catastrophe theory which explains formation of electron density singularities (cusps), and collective radiation due to nonlinear oscillations of a compact charge.
Second harmonic effect on geodesic modes in tokamak plasmas
Elfimov, A. G.; Galvão, R. M. O. [Institute of Physics, University of São Paulo, São Paulo 05508-090 (Brazil)] [Institute of Physics, University of São Paulo, São Paulo 05508-090 (Brazil); Smolyakov, A. I. [University of Saskatchewan, 116 Science Place, Saskatoon S7N 5E2 (Canada) [University of Saskatchewan, 116 Science Place, Saskatoon S7N 5E2 (Canada); Institute of Tokamak Physics, NRC “Kurchatov Institute,” 123182 Moscow (Russian Federation); Melnikov, A. V. [Institute of Tokamak Physics, NRC “Kurchatov Institute,” 123182 Moscow (Russian Federation)] [Institute of Tokamak Physics, NRC “Kurchatov Institute,” 123182 Moscow (Russian Federation)
2013-05-15T23:59:59.000Z
Results of a kinetic treatment of Geodesic Acoustic Modes (GAMs) that fully takes into account ion parallel dynamics, including the magnetic field component, are presented. The finite-orbit-width (FOW) parameter is considered in the calculation of the second harmonic effect on GAMs. For larger values of the FOW parameter, it is shown that dispersive effects related to the m = 2 harmonics is the cause of the mode frequency splitting and the modes appear due to the interaction with the ion sound mode. Furthermore, the modes may have enhanced damping rates due to second harmonic Landau damping.
Harmonic measurements from a group connected generator HVdc converter scheme
Macdonald, S.J.; Enright, W.; Arrillaga, J. [Univ. of Canterbury, Christchurch (New Zealand)] [Univ. of Canterbury, Christchurch (New Zealand); O`Brien, M.T.
1995-10-01T23:59:59.000Z
A recent CIGRE document published in ELECTRA has described the potential benefits of a direct connection of generators to HVdc converters. While many theoretical contributions have been made, no practical test data has become available so far. This paper reports on harmonic tests carried out at the Benmore end of the New Zealand HVdc link operating as a group connected scheme. It was found that the measured harmonic current levels were well below specified generator ratings. Dynamic simulation accurately predicted the harmonic currents whereas the results of a steady state formulation were less reliable.
Generalized Harmonic Equations in 3+1 Form
J. David Brown
2011-11-29T23:59:59.000Z
The generalized harmonic equations of general relativity are written in 3+1 form. The result is a system of partial differential equations with first order time and second order space derivatives for the spatial metric, extrinsic curvature, lapse function and shift vector, plus fields that represent the time derivatives of the lapse and shift. This allows for a direct comparison between the generalized harmonic and the Arnowitt-Deser-Misner formulations. The 3+1 generalized harmonic equations are also written in terms of conformal variables and compared to the Baumgarte-Shapiro-Shibata-Nakamura equations with moving puncture gauge conditions.
High order harmonic generation in dual gas multi-jets
Tosa, Valer, E-mail: valer.tosa@itim-cj.ro, E-mail: calin.hojbota@itim-cj.ro; Hojbota, Calin, E-mail: valer.tosa@itim-cj.ro, E-mail: calin.hojbota@itim-cj.ro [National Institute for Research and Development of Isotopic and Molecular Technologies, Donath 65-103, 400293 Cluj-Napoca (Romania)] [National Institute for Research and Development of Isotopic and Molecular Technologies, Donath 65-103, 400293 Cluj-Napoca (Romania)
2013-11-13T23:59:59.000Z
High order harmonic generation (HHG) in gas media suffers from a low conversion efficiency that has its origins in the interaction of the atom/molecule with the laser field. Phase matching is the main way to enhance the harmonic flux and several solutions have been designed to achieve it. Here we present numerical results modeling HHG in a system of multi-jets in which two gases alternate: the first gas jet (for example Ne) generates harmonics and the second one which ionizes easier, recover the phase matching condition. We obtain configurations which are experimentally feasible with respect to pressures and dimensions of the jets.
Harmonic Superspace Gaugeon Formalism for the ABJM Theory
Mir Faizal
2012-07-12T23:59:59.000Z
In this paper we will analyse the ABJM theory in harmonic superspace. The harmonic superspace variables will be parameterized by the coset $SU(2)/U(1)$ and thus will have manifest $\\mathcal{N} =3$ supersymmetry. We will study the quantum gauge transformations and the BRST transformations of this theory in gaugeon formalism. We will use this BRST symmetry to project out the physical sub-space from the total Hilbert space. We will also show that the evolution of the $\\mathcal{S}$-matrix is unitary for this ABJM theory in harmonic superspace.
ASYMPTOTIC DISTRIBUTION OF ESTIMATES FOR A TIME-VARYING PARAMETER IN A HARMONIC MODEL
Irizarry, Rafael A.
ASYMPTOTIC DISTRIBUTION OF ESTIMATES FOR A TIME-VARYING PARAMETER IN A HARMONIC MODEL WITH MULTIPLE harmonic regression models are useful for cases where harmonic parameters appear to be time-varying. Least, harmonic regression, signal processing, sound analysis, time-varying parameters, weighted least squares
Harmonic Content of Strain-induced Potential Modulation in Unidirectional Lateral Superlattices
Katsumoto, Shingo
Harmonic Content of Strain-induced Potential Modulation in Unidirectional Lateral Superlattices from a Â¼ 92 to 184 nm. Fourier analysis reveals the second (and the third) harmonics along of corresponding harmonics in the profile of the potential modulation. The harmonics manifest themselves in CO
Inverse medium scattering for three-dimensional time harmonic ...
2004-01-22T23:59:59.000Z
Jan 22, 2004 ... problem of time harmonic Maxwell equations in R3. ..... For a simple stability analysis, some relative random noise is added to the data, e.g., the.
Interference-Aware Geometric Modeling David Harmon1
Grinspun, Eitan
Interference-Aware Geometric Modeling David Harmon1 Daniele Panozzo1,2 Olga Sorkine1,3 Denis Zorin1 as glaring artifacts, and eliminate the ability to use the final model further down many software pipelines
Time-optimal controls for frictionless cooling in harmonic traps
Salamon, Peter
OFFPRINT Time-optimal controls for frictionless cooling in harmonic traps K. H. Hoffmann, P payment Details on preparing, submitting and tracking the progress of your manuscript from submission
Classification of Certain Compact Riemannian Manifolds with Harmonic Curvature a...
Derdzinski, Andrzej
Classification of Certain Compact Riemannian Manifolds with Harmonic Curvature a... Derdzinski and University Library provides access to digitized documents strictly for noncommercial educational, research) requires prior written permission from the Goettingen State- and University Library. Each copy of any part
Electric shock and elevated EMF levels due to triplen harmonics
Tran, T.Q.; Conrad, L.E.; Stallman, B.K. [PSI Energy, Inc., Plainfield, IN (United States)] [PSI Energy, Inc., Plainfield, IN (United States)
1996-04-01T23:59:59.000Z
The increasing use of single phase rectifiers for electric power conversion in residential applications increases harmonic load on utility systems. Many papers have analyzed the effect of these loads on power quality and equipment loadability. However, there are two more critical concerns for harmonic loads served phase to neutral on multi-grounded wye systems. Triplen harmonics, particularly the third, add in the neutral and have little diversity between loads. The higher neutral currents may cause significant problems. Neutral to earth voltages will increase near the substations which could increase stray voltage complaints. The additional neutral current on three phase lines will elevate EMF levels especially in the fringe areas. This paper provides fundamental understanding of triplen harmonic influence on stray voltage and EMF related to multi-grounded wye electric distribution systems.
Harmonic Image Reconstruction Assisted by a Nonlinear Metmaterial Surface
Wang, Zhiyu
We experimentally demonstrate a microwave far-field image reconstruction modality with the transverse resolution exceeding the diffraction limit by using a single layer of highly nonlinear metamaterial. The harmonic fields ...
Nonlinear harmonic generation and devices in doubly resonant Kerr cavities
Hashemi, Hila
We describe a theoretical analysis of the nonlinear dynamics of third-harmonic generation (??3?) via Kerr (?(3)) nonlinearities in a resonant cavity with resonances at both ? and 3?. Such a doubly resonant cavity greatly ...
Investigation of plasma diagnostics using a dual frequency harmonic technique
Kim, Dong-Hwan [Department of Nanoscale Semiconductor Engineering, Hanyang University, Seoul (Korea, Republic of); Kim, Young-Do; Cho, Sung-Won; Kim, Yu-Sin; Chung, Chin-Wook, E-mail: joykang@hanyang.ac.kr [Department of Electrical Engineering, Hanyang University, Seoul (Korea, Republic of)
2014-09-07T23:59:59.000Z
Plasma diagnostic methods using harmonic currents analysis of electrostatic probes were experimentally investigated to understand the differences in their measurement of the plasma parameters. When dual frequency voltage (?{sub 1},?{sub 2}) was applied to a probe, various harmonic currents (?{sub 1},?2?{sub 1},?{sub 2},?2?{sub 2},?{sub 2}±?{sub 1},?{sub 2}±2?{sub 1}) were generated due to the non-linearity of the probe sheath. The electron temperature can be obtained from the ratio of the two harmonics of the probe currents. According to the combinations of the two harmonics, the sensitivities in the measurement of the electron temperature differed, and this results in a difference of the electron temperature. From experiments and simulation, it is shown that this difference is caused by the systematic and random noise.
Driven harmonic oscillator as a quantum simulator for open systems
Jyrki Piilo; Sabrina Maniscalco
2006-10-03T23:59:59.000Z
We show theoretically how a driven harmonic oscillator can be used as a quantum simulator for non-Markovian damped harmonic oscillator. In the general framework, the results demonstrate the possibility to use a closed system as a simulator for open quantum systems. The quantum simulator is based on sets of controlled drives of the closed harmonic oscillator with appropriately tailored electric field pulses. The non-Markovian dynamics of the damped harmonic oscillator is obtained by using the information about the spectral density of the open system when averaging over the drives of the closed oscillator. We consider single trapped ions as a specific physical implementation of the simulator, and we show how the simulator approach reveals new physical insight into the open system dynamics, e.g. the characteristic quantum mechanical non-Markovian oscillatory behavior of the energy of the damped oscillator, usually obtained by the non-Lindblad-type master equation, can have a simple semiclassical interpretation.
Casimir Friction Force for Moving Harmonic Oscillators
Johan S. Høye; Iver Brevik
2011-11-21T23:59:59.000Z
Casimir friction is analyzed for a pair of dielectric particles in relative motion. We first adopt a microscopic model for harmonically oscillating particles at finite temperature T moving non-relativistically with constant velocity. We use a statistical-mechanical description where time-dependent correlations are involved. This description is physical and direct, and, in spite of its simplicity, is able to elucidate the essentials of the problem. This treatment elaborates upon, and extends, an earlier theory of ours back in 1992. The energy change Delta E turns out to be finite in general, corresponding to a finite friction force. In the limit of zero temperature the formalism yields, however, Delta E ->0, this being due to our assumption about constant velocity, meaning slowly varying coupling. For couplings varying more rapidly, there will also be a finite friction force at T=0. As second part of our work, we consider the friction problem using time-dependent perturbation theory. The dissipation, basically a second order effect, is obtainable with the use of first order theory, the reason being the absence of cross terms due to uncorrelated phases of eigenstates. The third part of the present paper is to demonstrate explicitly the equivalence of our results with those recently obtained by Barton (2010); this being not a trivial task since the formal results are seemingly quite different from each other.
Wind LCA Harmonization (Fact Sheet), NREL (National Renewable Energy Laboratory)
Not Available
2013-06-01T23:59:59.000Z
NREL recently led the Life Cycle Assessment (LCA) Harmonization Project, a study that provides more exact estimates of GHG emissions for renewable and conventional generation, clarifying inconsistent and conflicting estimates in the published literature, and reducing uncertainty. This involved a systematic review and harmonization of life cycle assessment (LCA) literature of utility-scale wind power systems in order to determine the causes of life cycle greenhouse gases (GHG) emissions and, where possible, reduce variability in GHG estimates.
Harmonic entanglement with second-order non-linearity
Nicolai B. Grosse; Warwick P. Bowen; Kirk McKenzie; Ping Koy Lam
2005-07-08T23:59:59.000Z
We investigate the second-order non-linear interaction as a means to generate entanglement between fields of differing wavelengths. And show that perfect entanglement can, in principle, be produced between the fundamental and second harmonic fields in these processes. Neither pure second harmonic generation, nor parametric oscillation optimally produce entanglement, such optimal entanglement is rather produced by an intermediate process. An experimental demonstration of these predictions should be imminently feasible.
Calculation of Massless Feynman Integrals using Harmonic Sums
Stefan Bekavac
2006-07-10T23:59:59.000Z
A method for the evaluation of the epsilon expansion of multi-loop massless Feynman integrals is introduced. This method is based on the Gegenbauer polynomial technique and the expansion of the Gamma function in terms of harmonic sums. Algorithms for the evaluation of nested and harmonic sums are used to reduce the expressions to get analytical or numerical results for the expansion coefficients. Methods to increase the precision of numerical results are discussed.
Fast optimal frictionless atom cooling in harmonic traps
Xi Chen; A. Ruschhaupt; S. Schmidt; A. del Campo; D. Guery-Odelin; J. G. Muga
2009-10-05T23:59:59.000Z
A method is proposed to cool down atoms in a harmonic trap without phase-space compression as in a perfectly slow adiabatic expansion, i.e., keeping the populations of the instantaneous initial and final levels invariant, but in a much shorter time. This may require that the harmonic trap becomes an expulsive parabolic potential in some time interval. The cooling times achieved are also shorter than previous minimal times using optimal-control bang-bang methods and real frequencies.
Harmonic generation of gravitational wave induced Alfven waves
Mats Forsberg; Gert Brodin
2007-11-26T23:59:59.000Z
Here we consider the nonlinear evolution of Alfven waves that have been excited by gravitational waves from merging binary pulsars. We derive a wave equation for strongly nonlinear and dispersive Alfven waves. Due to the weak dispersion of the Alfven waves, significant wave steepening can occur, which in turn implies strong harmonic generation. We find that the harmonic generation is saturated due to dispersive effects, and use this to estimate the resulting spectrum. Finally we discuss the possibility of observing the above process.
Current Generated Harmonics and Their Effect Upon Electrical Industrial Systems
Alexander, H. R.; Rogge, D. S.
of the nonlinear loads with respect to that system. The distortion increases as the percentage of nonlinear loads increases. (2) PROBLEMS ENCOUNTERED WITH HARMONICS High Neutral Conductor Currcnts Perhaps the dominant harmonic problem encountered... in commercial facilities and some industrial plants has been the overheating of neutral conductors of 3-phase, 4-wire branch and feeder distribution systems. In a balanced, 3-phase, 4-wire wye system with phase-to-ncutral linear loads, the neutral current...
Linear harmonic analysis of Stirling engine thermodynamics
Chen, N.C.J.; Griffin, F.P.; West, C.D.
1984-08-01T23:59:59.000Z
The analysis involves linearization of the pressure waveform and represents each term in the conservation equations by a truncated Fourier series, including enthalpy flux discontinuity. Second-Law analysis is presented of four important loss mechanisms that result from adiabatic cylinders, transient heat transfer in semiadiabatic cylinders, pressure drop through the heat exchangers, and gas leakage from the compression space. The four loss mechanisms, all leading to efficiency reduction below the Carnot level, are characterized by irreversible thermodynamic processes that occur when heat is transferred across a finite temperature difference; when gases at two different temperatures are mixed; or when there is a mass flow through a pressure difference. The allocation of each individual loss mechanism is derived precisely in terms of entropy production but evaluated by use of pressure, temperature, and mass oscillations calculated from the linear harmonic approximation. When the theory is applied to an engine of Sunpower's RE-1000 dimensions, it reveals clearly that the adiabatic loss (due to temperature fluctuations in the cylinders) consists of two components: gas mixing and heat transfer across a temperature difference. The theory further shows that the adiabatic effect is more important than the transient heat transfer loss if the gas-to-cylinder heat transfer rate is small (i.e., nearly adiabatic conditions); the reverse is true for intermediate heat transfer rates; and both losses vanish at very high heat transfer rates. In addition, entropy analyses of pressure drop and mass leakage for isothermal cylinders shed some light on coupling between the different individual loss mechanisms.
Kung, Andy
Numerical Analysis of Fifth-Harmonic Conversion of Low-Power Pulsed Nd:YAG Laser with Resonance of Second Harmonic Lien-Bee CHANG1Ã? , S. C. WANG1 and A. H. KUNG1;2 1 Institute of Electro March 13, 2003) A model for the fifth-harmonic generation of pulsed IR lasers involving an external ring
Dynamics of harmonically-confined systems: Some rigorous results
Wu, Zhigang, E-mail: zwu@physics.queensu.ca; Zaremba, Eugene, E-mail: zaremba@sparky.phy.queensu.ca
2014-03-15T23:59:59.000Z
In this paper we consider the dynamics of harmonically-confined atomic gases. We present various general results which are independent of particle statistics, interatomic interactions and dimensionality. Of particular interest is the response of the system to external perturbations which can be either static or dynamic in nature. We prove an extended Harmonic Potential Theorem which is useful in determining the damping of the centre of mass motion when the system is prepared initially in a highly nonequilibrium state. We also study the response of the gas to a dynamic external potential whose position is made to oscillate sinusoidally in a given direction. We show in this case that either the energy absorption rate or the centre of mass dynamics can serve as a probe of the optical conductivity of the system. -- Highlights: •We derive various rigorous results on the dynamics of harmonically-confined atomic gases. •We derive an extension of the Harmonic Potential Theorem. •We demonstrate the link between the energy absorption rate in a harmonically-confined system and the optical conductivity.
Higher harmonics increase LISA's mass reach for supermassive black holes
K. G. Arun; Bala R. Iyer; B. S. Sathyaprakash; Siddhartha Sinha
2007-06-05T23:59:59.000Z
Current expectations on the signal to noise ratios and masses of supermassive black holes which the Laser Interferometer Space Antenna (LISA) can observe are based on using in matched filtering only the dominant harmonic of the inspiral waveform at twice the orbital frequency. Other harmonics will affect the signal-to-noise ratio of systems currently believed to be observable by LISA. More significantly, inclusion of other harmonics in our matched filters would mean that more massive systems that were previously thought to be {\\it not} visible in LISA should be detectable with reasonable SNRs. Our estimates show that we should be able to significantly increase the mass reach of LISA and observe the more commonly occurring supermassive black holes of masses $\\sim 10^8M_\\odot.$ More specifically, with the inclusion of all known harmonics LISA will be able to observe even supermassive black hole coalescences with total mass $\\sim 10^8 M_\\odot (10^9M_\\odot)$ (and mass-ratio 0.1) for a low frequency cut-off of $10^{-4}{\\rm Hz}$ $(10^{-5}{\\rm Hz})$ with an SNR up to $\\sim 60$ $(\\sim 30)$ at a distance of 3 Gpc. This is important from the astrophysical viewpoint since observational evidence for the existence of black holes in this mass range is quite strong and binaries containing such supermassive black holes will be inaccessible to LISA if one uses as detection templates only the dominant harmonic.
Harmonic entanglement in a degenerate parametric down conversion
Sintayehu Tesfa
2007-07-25T23:59:59.000Z
We study the harmonic entanglement and squeezing in a two-mode radiation produced in a degenerate parametric down conversion process coupled to a two-mode vacuum reservoir employing the linearization procedure. It is found that there is a quadrature entanglement between the harmonically related fundamental and second-harmonic modes and the superimposed radiation exhibits a significant two-mode squeezing. The entanglement exits even when there is no two-mode squeezing, since the correlation leading to these phenomena are essentially different. In addition, the more the external coherent light is down converted, the more stronger the entanglement and mean photon number of the two-mode radiation would be which is not generally true for squeezing.
Unitary approach to the quantum forced harmonic oscillator
D. Velasco-Martinez; V. G. Ibarra-Sierra; J. C. Sandoval-Santana; J. L. Cardoso; A. Kunold
2014-08-31T23:59:59.000Z
In this paper we introduce an alternative approach to studying the evolution of a quantum harmonic oscillator subject to an arbitrary time dependent force. With the purpose of finding the evolution operator, certain unitary transformations are applied successively to Schr\\"odinger's equation reducing it to its simplest form. Therefore, instead of solving the original Schr\\"odinger's partial differential equation in time and space the problem is replaced by a system of ordinary differential equations. From the obtained evolution operator we workout the propagator. Even though we illustrate the use of unitary transformations on the solution of a forced harmonic oscillator, the method presented here might be used to solve more complex systems. The present work addresses many aspects regarding unitary transformations and the dynamics of a forced quantum harmonic oscillator that should be useful for students and tutors of the quantum mechanics courses at the senior undergraduate and graduate level.
Harmonic measurements made on the upgraded New Zealand inter-island HVdc transmission system
Miller, A.J.V.; Dewe, M.B. (Univ. of Canterbury, Christchurch (New Zealand))
1994-07-01T23:59:59.000Z
This paper introduces the recent upgrade to the New Zealand inter-island HVdc transmission system. It then details the procedure of one of several tests conducted to measure harmonic levels created by the upgraded transmission system. Harmonic levels were measured using the CHART (Continuous Harmonic Analysis in Real-Time) harmonic monitoring instrumentation. The connection of CHART to the high voltage network and its configuration during the test is discussed. A sample of results gathered while monitoring are presented, including characteristic harmonics of the converter, and maximum voltage and current levels up to the 50th harmonic for each of the three a.c. phases. During the tests one of the two a.c. harmonic filters was switched out to observe its effect on harmonic levels. It was found that with both a.c. harmonic filters operating, most harmonic levels were lower than with only one filter operating. However some harmonic levels, namely the 4th harmonic, were larger with both filters operating. The paper is concluded with a discussion of the results and of the difficulties encountered in measuring harmonics of very low level.
Loganathan, Muthukumaran; Bristow, Douglas A., E-mail: dbristow@mst.edu [Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, Rolla, Missouri 65401 (United States)
2014-04-15T23:59:59.000Z
This paper presents a method and cantilever design for improving the mechanical measurement sensitivity in the atomic force microscopy (AFM) tapping mode. The method uses two harmonics in the drive signal to generate a bi-harmonic tapping trajectory. Mathematical analysis demonstrates that the wide-valley bi-harmonic tapping trajectory is as much as 70% more sensitive to changes in the sample topography than the standard single-harmonic trajectory typically used. Although standard AFM cantilevers can be driven in the bi-harmonic tapping trajectory, they require large forcing at the second harmonic. A design is presented for a bi-harmonic cantilever that has a second resonant mode at twice its first resonant mode, thereby capable of generating bi-harmonic trajectories with small forcing signals. Bi-harmonic cantilevers are fabricated by milling a small cantilever on the interior of a standard cantilever probe using a focused ion beam. Bi-harmonic drive signals are derived for standard cantilevers and bi-harmonic cantilevers. Experimental results demonstrate better than 30% improvement in measurement sensitivity using the bi-harmonic cantilever. Images obtained through bi-harmonic tapping exhibit improved sharpness and surface tracking, especially at high scan speeds and low force fields.
Cascaded Cerenkov third-harmonic generation in random quadratic media
Ayoub, Mousa; Roedig, Philip; Imbrock, Joerg; Denz, Cornelia [Institute of Applied Physics and Center for Nonlinear Science (CeNoS), Westfaelische Wilhelms-Universitaet Muenster, Corrensstrasse 2, 48149 Muenster (Germany)
2011-12-12T23:59:59.000Z
We investigate experimentally and theoretically the conical emission of Cerenkov-type third-harmonic generation in strontium barium niobate of random 2D-{chi}{sup (2)} distribution. The azimuthal intensity distribution is explained by the polarization properties of the fundamental and Cerenkov second-harmonic waves, depending on the cascaded origin of the generation process. Moreover, we show the role of the individual domain shape in an additional modulation on the conical emission, controlled by the electrical switching of the spontaneous polarization of the ferroelectric medium.
High-order harmonic generation in a capillary discharge
Rocca, Jorge J.; Kapteyn, Henry C.; Mumane, Margaret M.; Gaudiosi, David; Grisham, Michael E.; Popmintchev, Tenio V.; Reagan, Brendan A.
2010-06-01T23:59:59.000Z
A pre-ionized medium created by a capillary discharge results in more efficient use of laser energy in high-order harmonic generation (HHG) from ions. It extends the cutoff photon energy, and reduces the distortion of the laser pulse as it propagates down the waveguide. The observed enhancements result from a combination of reduced ionization energy loss and reduced ionization-induced defocusing of the driving laser as well as waveguiding of the driving laser pulse. The discharge plasma also provides a means to spectrally tune the harmonics by tailoring the initial level of ionization of the medium.
Harmonic mean, the Gamma factor and Speed of Light
Chandru Iyer
2008-11-17T23:59:59.000Z
The relationship between the harmonic mean and special relativity is concisely elucidated. The arguments in favor and against SRT are explored. It is shown that the ratio of the speed of light to the harmonic mean of the onward and return speeds of light in a moving frame under Newtonian mechanics, when equitably distributed between space and time as a correction, leads to the Lorentz transformation. This correction implies an apparent contraction of objects and time dilation. However, the symmetry of the onward and inverse transformations give a different meaning to the gamma factor
On the harmonic oscillator properties in a twisted Moyal plane
Ezinvi Baloitcha; Mahouton Norbert Hounkonnou; Dine Ousmane Samary
2012-03-25T23:59:59.000Z
This work prolongs, using an operator method, the investigations started in our recent paper J. Math. Phys. 51., 102108 on the spectrum and states of the harmonic oscillator on twisted Moyal plane, where rather a Moyal-star-algebraic approach was used. The physical spectrum and states of the harmonic oscillator on twisted Moyal space, obtained here by solving the corresponding differential equation, are similar to those of the ordinary Moyal space, with different parameters. This fortunately contrasts with the previous study which produced unexpected results, i.e. infinitely degenerate states with energies depending on the coordinate functions.
Harmonic analysis on a galois field and its subfields
A. Vourdas
2006-10-17T23:59:59.000Z
Complex functions $\\chi (m)$ where $m$ belongs to a Galois field $GF(p^ \\ell)$, are considered. Fourier transforms, displacements in the $GF(p^ \\ell) \\times GF(p^ \\ell)$ phase space and symplectic $Sp(2,GF(p^ \\ell))$ transforms of these functions are studied. It is shown that the formalism inherits many features from the theory of Galois fields. For example, Frobenius transformations are defined which leave fixed all functions $h(n)$ where $n$ belongs to a subfield $GF(p^ d)$ of the $GF(p^ \\ell)$. The relationship between harmonic analysis (or quantum mechanics) on $GF(p^ \\ell)$ and harmonic analysis on its subfields, is studied.
Constraint damping in the Z4 formulation and harmonic gauge
Carsten Gundlach; Jose M. Martin-Garcia; Gioel Calabrese; Ian Hinder
2005-07-14T23:59:59.000Z
We show that by adding suitable lower-order terms to the Z4 formulation of the Einstein equations, all constraint violations except constant modes are damped. This makes the Z4 formulation a particularly simple example of a lambda-system as suggested by Brodbeck et al. We also show that the Einstein equations in harmonic coordinates can be obtained from the Z4 formulation by a change of variables that leaves the implied constraint evolution system unchanged. Therefore the same method can be used to damp all constraints in the Einstein equations in harmonic gauge.
Paris-Sud XI, Université de
BLIND HARMONIC ADAPTIVE DECOMPOSITION APPLIED TO SUPERVISED SOURCE SEPARATION Benoit Fuentes through an algorithm called Blind Harmonic Adaptive Decomposition (BHAD). This algorithm provides [1]. However, performing this task in a completely blind way remains challenging, basically due
Ultrasensitive Optical Shape Characterization of Gold Nanoantennas Using Second Harmonic Generation
Dalang, Robert C.
Ultrasensitive Optical Shape Characterization of Gold Nanoantennas Using Second Harmonic Generation for the sensitive optical characterization of plasmonic nanostructures. Furthermore, defects located where on the second harmonic signal. KEYWORDS: Plasmonics, nonlinear optics, surface integral formulation, realistic
Wideband phased array antennas and compact, harmonic-suppressed microstrip filters
Tu, Wen-Hua
2009-05-15T23:59:59.000Z
. Since the electromagnetic spectrum is limited and has to be shared, interference is getting serious as more and more wireless applications emerge. Filters are key components to prevent harmonic interference. The harmonic signals can be suppressed...
Wideband phased array antennas and compact, harmonic-suppressed microstrip filters
Tu, Wen-Hua
2009-05-15T23:59:59.000Z
. Since the electromagnetic spectrum is limited and has to be shared, interference is getting serious as more and more wireless applications emerge. Filters are key components to prevent harmonic interference. The harmonic signals can be suppressed...
Harmonic analysis of climatological sea surface salinity Tim P. Boyer and Sydney Levitus
Harmonic analysis of climatological sea surface salinity Tim P. Boyer and Sydney Levitus Ocean: Boyer, T. P., and S. Levitus, Harmonic analysis of climatological sea surface salinity, J. Geophys. Res
Fault Detection and Diagnostics for Non-Intrusive Monitoring Using Motor Harmonics
Orji, Uzoma A.
Harmonic analysis of motor current has been used to track the speed of motors for sensorless control. Algorithms exist that track the speed of a motor given a dedicated stator current measurement, for example. Harmonic ...
Improved gauge driver for the generalized harmonic Einstein system Lee Lindblom and Bela Szilagyi
Lindblom, Lee
Improved gauge driver for the generalized harmonic Einstein system Lee Lindblom and BeÂ´la SzilaÂ´gyi
A three-phase converter model for harmonic analysis of HVDC systems
Xu, W.; Drakos, J.E.; Mansour, Y.; Chang, A. (B.C. Hydro, Burnaby, British Columbia (Canada))
1994-07-01T23:59:59.000Z
An equivalent circuit model is presented to model bridge converters for three-phase HVDC harmonic power flow analysis. The validity and accuracy of the model are verified by comparing simulation results against field test results. The model is interfaced with a multiphase harmonic load flow program to investigate the generation of non-characteristic harmonics from HVDC links and the flow of HVDC harmonics in a real system.
Wave kernels for the Dirac, Euler operators and the harmonic oscillator
Mohameden, Ahmedou Yahya Ould, E-mail: ahmeddou2011@yahoo.fr; Moustapha, Mohamed Vall Ould, E-mail: khames@univ-nkc.mr [Université des Sciences, de Technologie et de la Medécine (USTM) Faculté des Sciences et Techniques. Département de Mathématiques et Informatique, Unité de Recherche: Analyse, EDP et Modélisation: (AEDPM) B.P: 5026, Nouakchott-Mauritanie (United States)
2014-03-15T23:59:59.000Z
Explicit solutions for the wave equations associated to the Dirac, Euler operators and the harmonic oscillator are given.
Enhanced Harmonic Up-Conversion Using a Hybrid HGHG-EEHG Scheme
Marksteiner, Quinn R. [Los Alamos National Laboratory; Bishofberger, Kip A. [Los Alamos National Laboratory; Carlsten, Bruce E. [Los Alamos National Laboratory; Freund, Henry P. [Los Alamos National Laboratory; Yampolsky, Nikolai A. [Los Alamos National Laboratory
2012-04-30T23:59:59.000Z
We introduce a novel harmonic generation scheme which can be used, for a given desired harmonic, to achieve higher bunching factors, weaker chicanes, and/or less final energy spread than can be achieved using Echo-Enabled Harmonic Generation. This scheme only requires a single laser with relatively low power, and is a hybrid of High-Gain Harmonic Generation and EEHG. We present a design of this scheme applied to the Next Generation Light Source (NGLS).
Web-assisted tunneling in the kicked harmonic oscillator
André R. R. Carvalho; Andreas Buchleitner
2004-09-20T23:59:59.000Z
We show that heating of harmonically trapped ions by periodic delta kicks is dramatically enhanced at isolated values of the Lamb-Dicke parameter. At these values, quasienergy eigenstates localized on island structures undergo avoided crossings with extended web-states.
LOWPASS BROADBAND HARMONIC FILTER DESIGN A THESIS SUBMITTED TO
Hava, Ahmet
. Nevzat ÖZAY METU, (EE) _____________________ Dr. Ahmet Erbil NALÇACI (Energy Market Regulatory Authority regulation, energy efficiency, size, and cost. The parallel/series harmonic resonance problem related issues/currents. Thus, the size and the performance of the filter can be optimized. The analytical method is verified
HHFW (High Harmonic Fast Wave) Eddy Current Analysis for Antenna
Princeton Plasma Physics Laboratory
1 NSTX HHFW (High Harmonic Fast Wave) Eddy Current Analysis for Antenna NSTX-CALC-24-03-01 June 1 performed.) The model was first built for NSTX to verify the eddy current effect on antenna during plasma force of the induced eddy current in the components. The force data was transferred to the structural
Classical thermodynamics of particles in harmonic traps Martin Ligarea
Ligare, Martin
, and the heat capacities. I also consider cyclic thermodynamic processes in a harmonically confined gas. Â© 2010 of state for a gas of N noninteract- ing particles in a rigid volume V is derived in almost every text and pressure vary with position within such traps, and the volume of the gas is not well defined
Valency of Harmonic Mappings onto Bounded Convex Domains
1910-30-82T23:59:59.000Z
[11] considered harmonic mappings of D to K that extend continuously to n- valent sense-preserving ..... ?3(u) = 8(1 + 35u)3?2(u) + 27(13u ? 1)(1 + 3u)3. Note that ?3(0) = ?3 = 0; ..... conjecture of H. S. Shapiro, Math. Proc. Cambridge Phil.
SPEECH ENHANCEMENT USING HARMONIC REGENERATION Cyril Plapous 1
Paris-Sud XI, UniversitÃ© de
SPEECH ENHANCEMENT USING HARMONIC REGENERATION Cyril Plapous 1 , Claude Marro 1 , Pascal Scalart 2 in enhanced speech because of the non reliability of estimators for small signal- to-noise ratios. We propose The problem of enhancing speech degraded by additive noise, when only the noisy speech is available, has been
Harmonic superspace formalism and the consistent chiral anomaly
Li, W.
1986-08-01T23:59:59.000Z
The harmonic superspace formalism has been used to construct the consistent chiral anomaly in N = 1, d = 6 supersymmetric Yang-Mills thoery. The expressions of the gauge anomaly ..delta../sub s//sup phi/ and of the supersymmetric anomaly ..delta../sub SUSY//sup phi/ are given together with the consistent condition. 7 refs.
Sliding-mode amplitude control techniques for harmonic oscillators
Marquart, Chad A.
2007-09-17T23:59:59.000Z
signal operating at frequencies ranging from 170 MHz to 2.1 GHz. Total harmonic distortion is maintained below 0:8% for an oscillation amplitude of 2 Vpp over the entire tuning range. Phase noise is measured as -105.6 dBc/Hz at 1.135 GHz with a 1 MHz...
Generation of harmonics and supercontinuum in nematic liquid crystals
Nyushkov, B N; Trashkeev, S I; Klementyev, Vasilii M; Pivtsov, V S; Kobtsev, Sergey M
2013-02-28T23:59:59.000Z
Nonlinear optical properties of nematic liquid crystals (NLC) have been investigated. A technique for efficient laser frequency conversion in a microscopic NLC volume deposited on an optical fibre end face is experimentally demonstrated. An efficient design of a compact NLC-based IR frequency converter with a fibre input and achromatic collimator is proposed and implemented. Simultaneous generation of the second and third harmonics is obtained for the first time under pumping NLC by a 1.56-mm femtosecond fibre laser. The second-harmonic generation efficiency is measured to be about 1 %, while the efficiency of third-harmonic generation is several tenths of percent. A strong polarisation dependence of the third-harmonic generation efficiency is revealed. When pumping NLC by a cw laser, generation of spectral supercontinua (covering the visible and near-IR spectral ranges) is observed. The nonlinear effects revealed can be due to the light-induced change in the orientational order in liquid crystals, which breaks the initial symmetry and leads to formation of disclination structures. The NLC optical nonlinearity is believed to be of mixed orientationalelectronic nature as a whole. (laser optics 2012)
-okfl ^ ORNL/CON-172 Linear Harmonic Analysis of Free-
Oak Ridge National Laboratory
Stirling Engines N. C. J. Chen F. P. Griffin OPERATED BY MARTIN MARIETTA ENERGY SYSTEMS, INC. #12;ORNL/CON-172 Engineering Technology Division* LINEAR HARMONIC ANALYSIS OF FREE-PISTON STIRLING/dynamic problem that is associated with a free-piston Stirling engine (FPSE). The governing equations
Noncommutative Harmonic Oscillator at Finite Temperature: A Path Integral Approach
A. Jahan
2012-08-01T23:59:59.000Z
We use the path integral approach to a two-dimensional noncommutative harmonic oscillator to derive the partition function of the system at finite temperature. It is shown that the result based on the Lagrangian formulation of the problem, coincides with the Hamiltonian derivation of the partition function.
On the harmonic oscillator realisation of q-oscillators
D. Gangopadhyay; A. P. Isaev
2007-01-05T23:59:59.000Z
The general version of the bosonic harmonic oscillator realisation of bosonic q-oscillators is given. It is shown that the currently known realisation is a special case of our general solution. The investigation has been performed at the Laboratory of theoretical Physics,JINR.
Generalized harmonic spatial coordinates and hyperbolic shift conditions
Miguel Alcubierre; Alejandro Corichi; José A. González; Darío Núñez; Bernd Reimann; Marcelo Salgado
2005-10-24T23:59:59.000Z
We propose a generalization of the condition for harmonic spatial coordinates analogous to the generalization of the harmonic time slices introduced by Bona et al., and closely related to dynamic shift conditions recently proposed by Lindblom and Scheel, and Bona and Palenzuela. These generalized harmonic spatial coordinates imply a condition for the shift vector that has the form of an evolution equation for the shift components. We find that in order to decouple the slicing condition from the evolution equation for the shift it is necessary to use a rescaled shift vector. The initial form of the generalized harmonic shift condition is not spatially covariant, but we propose a simple way to make it fully covariant so that it can be used in coordinate systems other than Cartesian. We also analyze the effect of the shift condition proposed here on the hyperbolicity of the evolution equations of general relativity in 1+1 dimensions and 3+1 spherical symmetry, and study the possible development of blow-ups. Finally, we perform a series of numerical experiments to illustrate the behavior of this shift condition.
Strong Second Harmonic Generation from the Tantalum Thioarsenates...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Strong Second Harmonic Generation from the Tantalum Thioarsenates A3Ta2AsS11 (A K and Rb) Home Author: T.K. Bera, J.I. Jang, J.B. Ketterson, M.G. Kanatzidis Year: 2009 Abstract:...
Linear harmonic oscillator in spaces with degenerate metrics
N. A. Gromov
2006-03-02T23:59:59.000Z
With the help of contraction method we study the harmonic oscillator in spaces with degenerate metrics, namely, on Galilei plane and in the flat 3D Cayley-Klein spaces $R_3(j_2,j_3).$ It is shown that the inner degrees of freedom are appeared which physical dimensions are different from the dimension of the space.
Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics
Evgeny A. Ivanov
2011-02-11T23:59:59.000Z
This is a brief survey of applications of the harmonic superspace methods to the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on a recent progress in constructing SQM models with couplings to the background non-Abelian gauge fields. Besides reviewing and systemizing the relevant results, we present some new examples and make clarifying comments.
Harmonic analysis of the Ha velocity field of NGC 4254
Laurent Chemin; Olivier Hernandez; Chantal Balkowski; Claude Carignan; Philippe Amram
2005-12-20T23:59:59.000Z
The ionized gas kinematics of the Virgo Cluster galaxy NGC 4254 (Messier 99) is analyzed by an harmonic decomposition of the velocity field into Fourier coefficients. The aims of this study are to measure the kinematical asymmetries of Virgo cluster galaxies and to connect them to the environment. The analysis reveals significant $m=1,2,4$ terms which origins are discussed.
Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
Ablinger, Jakob; Schneider, Carsten [Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz (Austria)] [Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz (Austria); Blümlein, Johannes [Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen (Germany)] [Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen (Germany)
2013-08-15T23:59:59.000Z
In recent three-loop calculations of massive Feynman integrals within Quantum Chromodynamics (QCD) and, e.g., in recent combinatorial problems the so-called generalized harmonic sums (in short S-sums) arise. They are characterized by rational (or real) numerator weights also different from ±1. In this article we explore the algorithmic and analytic properties of these sums systematically. We work out the Mellin and inverse Mellin transform which connects the sums under consideration with the associated Poincaré iterated integrals, also called generalized harmonic polylogarithms. In this regard, we obtain explicit analytic continuations by means of asymptotic expansions of the S-sums which started to occur frequently in current QCD calculations. In addition, we derive algebraic and structural relations, like differentiation with respect to the external summation index and different multi-argument relations, for the compactification of S-sum expressions. Finally, we calculate algebraic relations for infinite S-sums, or equivalently for generalized harmonic polylogarithms evaluated at special values. The corresponding algorithms and relations are encoded in the computer algebra package HarmonicSums.
Real-Time Selective Harmonic Minimization in Cascaded Multilevel Inverters
Tolbert, Leon M.
time but the output fundamental voltage will stay constant and the harmonic will still meet capability of generalizing solutions. What this means is that, if the correct range of data are used sources along with its operation as in a solar panel. This means that during a day of operation, the solar
HARMONIC MOMENTS AND AN INVERSE PROBLEMS FOR THE HEAT EQUATION
.3) with p HPm , where HPm = { harmonic polynomial of degree m } (m = 0, 1, 2, · · · ), 1 #12;2 BY MISHIO KAWASHITA, YAROSLAV KURYLEV AND HIDEO SOGA and all q HPm . In the paper we describe algorithms for an approximate reconstruction of given approximate integrals (1.4) with p, q HPm , m = 0, 1, 2
ANALYTIC MODEL OF HARMONIC GENERATION IN THE LOW-GAIN FEL REGIME
Wurtele, Jonathan
ANALYTIC MODEL OF HARMONIC GENERATION IN THE LOW-GAIN FEL REGIME G. Penn, M. Reinsch, J.S. Wurtele , LBNL, Berkeley, CA 94720, USA Abstract Harmonic generation using free electron lasers (FELs) requires with simulation results using the FEL code GENESIS, both for single stages of harmonic generation and for the LUX
Source levels and harmonic content of whistles in white-beaked dolphins (Lagenorhynchus albirostris)
Source levels and harmonic content of whistles in white-beaked dolphins (Lagenorhynchus albirostris of the 43 whistles contained an unequal number of harmonics recorded at the three hydrophones judging from of the fundamen- tal frequency is a harmonic Yost, 2000 . Rasmussen
Koch, Christiane
and harmonic baths David Gelmana) Fritz Haber Research Center for Molecular Dynamics, Hebrew University to a spin bath and to a harmonic bath. Converged results are obtained for the spin bath by the surrogate. The results are compared to calculations that include a finite number of harmonic modes carried out by using
HARMONIC CASCADE FEL DESIGNS FOR LUX G. Penn, M. Reinsch, J. Wurtele
Wurtele, Jonathan
HARMONIC CASCADE FEL DESIGNS FOR LUX G. Penn, M. Reinsch, J. Wurtele , J.N. Corlett, W.M. Fawley, A stages of higher harmonic generation, seeded by a 200Â250 nm laser of similar duration. This laser mod then produces ra- diation at a higher harmonic after entering a second, differ- ently tuned undulator. Repeated
IEEE TRANSACTIONSON PLASMA SCIENCE,VOL. 21, NO. 1, FEBRUARY 1993 Phase-Matched Third Harmonic
IEEE TRANSACTIONSON PLASMA SCIENCE,VOL. 21, NO. 1, FEBRUARY 1993 ~ 105 Phase-Matched Third Harmonic Generation in a Plasma J. M. Rax and N. J. Fisch Abstract-Relativistic third harmonic generationin a plasma is investigated. The growth of a third harmonic wave is limited by the difference between the phase velocity
Optical Third-Harmonic Generation in Graphene Sung-Young Hong,1
Hone, James
Optical Third-Harmonic Generation in Graphene Sung-Young Hong,1 Jerry I. Dadap,2,* Nicholas Petrone York 10027, USA (Received 8 April 2013; published 10 June 2013) We report strong third-harmonic verified. In addition, our polarization- and azimuthal-rotation-dependent third-harmonic
Research Report Effects of attention on the neural processing of harmonic syntax
Research Report Effects of attention on the neural processing of harmonic syntax in Western music) were recorded. The five-chord progressions included 61% harmonically expected cadences (IÂI6 ÂIVÂVÂI), 26% harmonically unexpected cadences (IÂI6 ÂIVÂVÂN6 ), and 13% with one of the five chords having
3D Harmonic Mapping and Tetrahedral Meshing of Brain Imaging Data
Thompson, Paul
3D Harmonic Mapping and Tetrahedral Meshing of Brain Imaging Data Yalin Wang1 , Xianfeng Gu2 , Paul algorithm finds a harmonic map from a 3-manifold to a 3D solid sphere and the second is a novel sphere of magnetic resonance images (MRI). A heat flow method is used to solve the volumetric harmonic mapping
Volumetric Harmonic Brain Mapping using a Variational Method Yalin Wang1
Thompson, Paul
Volumetric Harmonic Brain Mapping using a Variational Method Yalin Wang1 , Xianfeng Gu2 , Tony F investigation of 3D volumetric brain harmonic mapping. By transforming the full 3D brain volume to a solid volume to another. We suggest that 3D harmonic mapping of brain volumes to a solid sphere can provide
High harmonic generation in relativistic laserplasma interactiona... S. Banerjee,b)
Umstadter, Donald
High harmonic generation in relativistic laserÂplasma interactiona... S. Banerjee,b) A. R of Michigan, Ann Arbor, Michigan 48109 Received 2 November 2001; accepted 26 February 2002 High harmonics, in addition to the conventional atomic harmonics from bound electrons there is significant contribution
Harmonic Modelling of Thyristor Bridges using a Simplified Time Domain Method
Lehn, Peter W.
1 Harmonic Modelling of Thyristor Bridges using a Simplified Time Domain Method P. W. Lehn, Senior form solution for the harmonic injection of the converter is developed. For the more general case model module takes as input the ac voltage harmonics at the point of common coupling and outputs
Giant higher harmonic generation in mesoscopic metal wires and rings interrupted by tunnel junctions
van Oudenaarden, Alexander
Giant higher harmonic generation in mesoscopic metal wires and rings interrupted by tunnel 5046, 2600 GA Delft, The Netherlands Received 19 December 1997 Higher harmonic generation in mesoscopic is biased with a sinusoidal varying current, we observe giant higher harmon- ics in the conductance
Harmonic Analysis of a Three-Phase Diode Bridge Rectifier based on Sampled-Data Model
Lehn, Peter W.
Harmonic Analysis of a Three-Phase Diode Bridge Rectifier based on Sampled-Data Model K. L. Lian. As demonstrated in the paper, the proposed method analytically evaluates harmonics, and obtains exact switching is to incorporate it into a harmonic power flow program to yield improved accuracy. Index Terms-- Diode Bridge
Nonlinear harmonic generation and devices in doubly resonant Kerr cavities Hila Hashemi,1
Nonlinear harmonic generation and devices in doubly resonant Kerr cavities Hila Hashemi,1 Alejandro of the nonlinear dynamics of third-harmonic generation 3 via Kerr 3 nonlinearities in a resonant cavity harmonic generation, by a factor of V/Q2 , where V is the modal volume and Q is the lifetime, and can even
1 1 A Harmonic Approach for Calculating Daily Temperature Normals Constrained by2 Homogenized a constrained harmonic technique that forces the daily30 temperature normals to be consistent with the monthly, or harmonic even though the annual march of temperatures for some locations can be highly asymmetric. Here, we
HARMONIC CASCADE FEL DESIGNS FOR LUX, A FACILTY FOR ULTRAFAST X-RAY SCIENCE
Wurtele, Jonathan
HARMONIC CASCADE FEL DESIGNS FOR LUX, A FACILTY FOR ULTRAFAST X-RAY SCIENCE J. Corlett, W. Fawley. We also discuss lattice considerations pertinent to harmonic cascade FELs, somesensitivity studies. While much of this effort has been concentrated upon SASE-based FEL's, there is an alternative "harmonic
Harmonic phase-dispersion microscope with a MachZehnder interferometer
Fang-Yen, Christopher
Harmonic phase-dispersion microscope with a MachÂZehnder interferometer Andrew Ahn, Changhuei Yang S. Feld Harmonic phase-dispersion microscopy (PDM) is a new imaging technique in which contrast is provided by differences in refractive index at two harmonically related wavelengths. We report a new
Very-high-order harmonic generation from Ar atoms and Ar+ ions in superintense pulsed laser
Chu, Shih-I
Very-high-order harmonic generation from Ar atoms and Ar+ ions in superintense pulsed laser fields-high-order harmonic generation HHG from Ar atoms and Ar+ ions by means of the self-interaction-free time-order harmonic generation HHG is one of the most rapidly developing topics in the field of laser-atom molecule
Second and Fourth Harmonic Frequencies in Electric Field-Induced Liquid Crystal Reorientations
Wu, Shin-Tson
Second and Fourth Harmonic Frequencies in Electric Field-Induced Liquid Crystal Reorientations of Central Florida, Orlando, Florida, USA The second and fourth harmonics of low frequency electric field-optical modulation; liquid crystal; second and fourth harmonics 1. INTRODUCTION Nematic liquid crystal (LC) has been
High-harmonic generation in plasmas from relativistic laser-electron scattering
Umstadter, Donald
High-harmonic generation in plasmas from relativistic laser-electron scattering S. Banerjee, A. R Results are presented on the generation of high harmonics through the scattering of relativistic electrons to be the emission of even- order harmonics, linear dependence on the electron density, significant amount
Ultrafast Third Harmonic Micro-spectroscopy Reveals a Two-Photon Resonance in Human Hemoglobin
Kleinfeld, David
Ultrafast Third Harmonic Micro-spectroscopy Reveals a Two-Photon Resonance in Human Hemoglobin G Golden, CO 80401 Abstract The recently developed technique of ultrafast third harmonic generation (THG states in physiological solutions of human hemoglobin. Keywords: Third Harmonic Generation, Micro
Geist, Dennis
Search for Harmonic tremor in the Galapagos Jonathan M. Lees, University of North Carolina, Chapel Hill Harmonic volcano tremor can provide details of conduit physics during magma flow and volcano.71.2 Hz. Harmonic tremor has not been reported on Galapagos volcanoes, possibly because seismic
Study on higher harmonic suppression using edge filter and polished Si wafer
Gupta, R. K., E-mail: rkg@rrcat.gov.in; Singh, Amol, E-mail: rkg@rrcat.gov.in; Modi, Mohammed H., E-mail: rkg@rrcat.gov.in; Lodha, G. S., E-mail: rkg@rrcat.gov.in [X-ray Optics Section, ISU Division, Raja Ramanna Centre for Advanced Technology, Indore-452013 (India)
2014-04-24T23:59:59.000Z
Higher harmonics contamination is a severe problem in synchrotron beamlines where grating monochromators are used. In these beamlines, absorption edge filters and critical angle mirrors are used to suppress the harmonic contaminations. In the present study, carried out using Indus-1 reflectivity beamline, a harmonic suppression characteristic of Al edge filter and polished silicon wafer are determined. It is found that the Al filter suppresses higher harmonics in 2–7% range whereas the polished silicon wafer can suppress the higher harmonics below 1%. The results of comparative study are discussed.
Sarshar, A. [Trench Electric, Scarborough, Ontario (Canada)] [Trench Electric, Scarborough, Ontario (Canada); Iravani, M.R.; Li, J. [Univ. of Toronto, Ontario (Canada). Dept. of Electrical and Computer Engineering] [Univ. of Toronto, Ontario (Canada). Dept. of Electrical and Computer Engineering
1996-01-01T23:59:59.000Z
In this paper, noncharacteristic harmonics of an HVdc converter station are calculated based on the use of digital time-domain simulation methods. An enhanced version of the Electromagnetic Transients Program (EMTP) is used for the studies. The noncharacteristic harmonics of interest are (1) the dc side triplen harmonics, and (2) the ac side second harmonic. Impacts of loading conditions, neutral filter, and converter firing angle on the dc side triplen harmonics are discussed. Effects of ac side network parameters, static VAR compensator (SVC), transformer half-cycle saturation, and Geomagnetically Induced Current (GIC) on the ac side second harmonic instability are also presented. This paper concludes that the digital time-domain simulation method provides significant flexibility for accurate prediction of (1) generation mechanism, and (2) adverse impacts of HVdc noncharacteristic harmonics.
Completion report harmonic analysis of electrical distribution systems
Tolbert, L.M.
1996-03-01T23:59:59.000Z
Harmonic currents have increased dramatically in electrical distribution systems in the last few years due to the growth in non-linear loads found in most electronic devices. Because electrical systems have been designed for linear voltage and current waveforms; (i.e. nearly sinusoidal), non-linear loads can cause serious problems such as overheating conductors or transformers, capacitor failures, inadvertent circuit breaker tripping, or malfunction of electronic equipment. The U.S. Army Center for Public Works has proposed a study to determine what devices are best for reducing or eliminating the effects of harmonics on power systems typical of those existing in their Command, Control, Communication and Intelligence (C3I) sites.
All-Optical Field-Induced Second-Harmonic Generation
Davidson, Roderick B; Ziegler, Jed I; Avanesyan, Sergey M; Lawrie, Ben J; Haglund, Richard F
2015-01-01T23:59:59.000Z
Efficient frequency modulation techniques are crucial to the development of plasmonic metasurfaces for information processing and energy conversion. Nanoscale electric-field confinement in optically pumped plasmonic structures enables stronger nonlinear susceptibilities than are attainable in bulk materials. The interaction of three distinct electric fields in (chi)^3 optical processes allows for all-optical modulation of nonlinear signals. Here we demonstrate effcient third-order second harmonic generation (SHG) in a serrated nanogap plasmonic geometry that generates steep electric field gradients within a dielectric material. We utilize an ultrafast optical pump to control the plasmonically induced electric-fields and to generate bandwidth-limited ultrafast second-harmonic pulses driven by the control pulses. The combination of plasmonic metasurfaces with all-optical control and the freedom to choose the dielectric allow multiple generalizations of this concept and geometry to other four-wave mixing process...
Freely floating structures trapping time-harmonic water waves (revisited)
Nikolay Kuznetsov; Oleg Motygin
2014-10-22T23:59:59.000Z
We study the coupled small-amplitude motion of the mechanical system consisting of infinitely deep water and a structure immersed in it. The former is bounded above by a free surface, whereas the latter is formed by an arbitrary finite number of surface-piercing bodies floating freely. The mathematical model of time-harmonic motion is a spectral problem in which the frequency of oscillations serves as the spectral parameter. It is proved that there exist axisymmetric structures consisting of $N \\geq 2$ bodies; every structure has the following properties: (i) a time-harmonic wave mode is trapped by it; (ii) some of its bodies (may be none) are motionless, whereas the rest of the bodies (may be none) are heaving at the same frequency as water. The construction of these structures is based on a generalization of the semi-inverse procedure applied earlier for obtaining trapping bodies that are motionless although float freely.
Damping the zero-point energy of a harmonic oscillator
T. G Philbin; S. A. R. Horsley
2013-07-31T23:59:59.000Z
The physics of quantum electromagnetism in an absorbing medium is that of a field of damped harmonic oscillators. Yet until recently the damped harmonic oscillator was not treated with the same kind of formalism used to describe quantum electrodynamics in a arbitrary medium. Here we use the techniques of macroscopic QED, based on the Huttner--Barnett reservoir, to describe the quantum mechanics of a damped oscillator. We calculate the thermal and zero-point energy of the oscillator for a range of damping values from zero to infinity. While both the thermal and zero-point energies decrease with damping, the energy stored in the oscillator at fixed temperature increases with damping, an effect that may be experimentally observable. As the results follow from canonical quantization, the uncertainty principle is valid for all damping levels.
Higher signal harmonics, LISA's angular resolution, and dark energy
K. G. Arun; Bala R. Iyer; B. S. Sathyaprakash; Siddhartha Sinha; Chris Van Den Broeck
2007-10-24T23:59:59.000Z
It is generally believed that the angular resolution of the Laser Interferometer Space Antenna (LISA) for binary supermassive black holes (SMBH) will not be good enough to identify the host galaxy or galaxy cluster. This conclusion, based on using only the dominant harmonic of the binary SMBH signal, changes substantially when higher signal harmonics are included in assessing the parameter estimation problem. We show that in a subset of the source parameter space the angular resolution increases by more than a factor of 10, thereby making it possible for LISA to identify the host galaxy/galaxy cluster. Thus, LISA's observation of certain binary SMBH coalescence events could constrain the dark energy equation of state to within a few percent, comparable to the level expected from other dark energy missions.
Discrete quadratic solitons with competing second-harmonic components
Setzpfandt, Frank; Pertsch, Thomas [Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, D-07743 Jena (Germany); Sukhorukov, Andrey A. [Nonlinear Physics Center, Research School of Physics and Engineering, Australian National University, Canberra, 0200 ACT (Australia)
2011-11-15T23:59:59.000Z
We describe families of discrete solitons in quadratic waveguide arrays supported by competing cascaded nonlinear interactions between one fundamental and two second-harmonic modes. We characterize the existence, stability, and excitation dynamics of these solitons and show that their features may resemble those of solitons in saturable media. Our results also demonstrate that a power threshold may appear for soliton formation, leading to a suppression of beam self-focusing which explains recent experimental observations.
SU(3) symmetry in the triaxially deformed harmonic oscillator
Sugawara-Tanabe, Kazuko [Otsuma Women's University, Tama, Tokyo 206-8540 (Japan); Tanabe, Kosai [Department of Physics, Saitama University, Sakura-Ku, Saitama 338-8570 (Japan); Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center, Wako, Saitama 351-0198 (Japan); Arima, Akito [Science Museum, Japan Science Foundation, Tokyo 102-0091 (Japan); Gruber, Bruno [College of Science, Southern Illinois University, Carbondale, Illinois 62901 (United States)
2009-10-15T23:59:59.000Z
An anisotropic harmonic oscillator Hamiltonian can be brought into invariant form under SU(3) transformations by applying nonlinear transformations to the oscillator bosons. The classification of the single-particle levels based on this covering group predicts magic numbers for the triaxial oscillator. It is shown that when the deformation |{delta}| is not too large, the physical operators are approximated by the group operators. Estimation is carried out for the alignment of orbital angular momentum in a triaxial field.
Vacuum high harmonic generation in the shock regime
Böhl, P; Ruhl, H
2015-01-01T23:59:59.000Z
Electrodynamics becomes nonlinear and permits the self-interaction of fields when the quantised nature of vacuum states is taken into account. The effect on a plane probe pulse propagating through a stronger constant crossed background is calculated using numerical simulation and by analytically solving the corresponding wave equation. The electromagnetic shock resulting from vacuum high harmonic generation is investigated and a nonlinear shock parameter identified.
Harmonic oscillator in a one-dimensional box
Paolo Amore; Francisco M. Fernandez
2009-07-31T23:59:59.000Z
We study a harmonic molecule confined to a one--dimensional box with impenetrable walls. We explicitly consider the symmetry of the problem for the cases of different and equal masses. We propose suitable variational functions and compare the approximate energies given by the variation method and perturbation theory with accurate numerical ones for a wide range of values of the box length. We analyze the limits of small and large box size.
Efficient Forward Second-Harmonic Generation from Planar Archimedean Nanospirals
Davidson, Roderick B; Vargas, Guillermo; Avanesyan, Sergey M; Haglund, Richard F
2015-01-01T23:59:59.000Z
The enhanced electric field at plasmonic resonances in nanoscale antennas can lead to efficient harmonic generation, especially when the plasmonic geometry is asymmetric on either inter-particle or intra-particle levels. The planar Archimedean nanospiral offers a unique geometrical asymmetry for second-harmonic generation (SHG) because the SHG results neither from arranging centrosymmetric nanoparticles in asymmetric groupings, nor from non-centrosymmetric nanoparticles that retain a local axis of symmetry. Here we report forward SHG from planar arrays of Archimedean nanospirals using 15 fs pulse from a Ti:sapphire oscillator tuned to 800 nm wavelength. The measured harmonic-generation efficiencies are 2.6*10-9, 8*10-9 and 1.3*10-8 for left-handed circular, linear, and right-handed circular polarizations, respectively. The uncoated nanospirals are stable under average power loading of as much as 300 uW per nanoparticle. The nanospirals also exhibit a selective conversion between polarization states. These exp...
High harmonic generation from Bloch electrons in solids
Wu, Mengxi; Reis, David A; Schafer, Kenneth J; Gaarde, Mette B
2015-01-01T23:59:59.000Z
We study the generation of high harmonic radiation by Bloch electrons in a model transparent solid driven by a strong mid-infrared laser field. We solve the single-electron time-dependent Schr\\"odinger equation (TDSE) using a velocity-gauge method [New J. Phys. 15, 013006 (2013)] that is numerically stable as the laser intensity and number of energy bands are increased. The resulting harmonic spectrum exhibits a primary plateau due to the coupling of the valence band to the first conduction band, with a cutoff energy that scales linearly with field strength and laser wavelength. We also find a weaker second plateau due to coupling to higher-lying conduction bands, with a cutoff that is also approximately linear in the field strength. To facilitate the analysis of the time-frequency characteristics of the emitted harmonics, we also solve the TDSE in a time-dependent basis set, the Houston states [Phys. Rev. B 33, 5494 (1986)], which allows us to separate inter-band and intra-band contributions to the time-depe...
Background and Reflections on the Life Cycle Assessment Harmonization Project
Heath, G. A.; Mann, M. K.
2012-04-01T23:59:59.000Z
Despite the ever-growing body of life cycle assessment (LCA) literature on electricity generation technologies, inconsistent methods and assumptions hamper comparison across studies and pooling of published results. Synthesis of the body of previous research is necessary to generate robust results to assess and compare environmental performance of different energy technologies for the benefit of policy makers, managers, investors, and citizens. With funding from the U.S. Department of Energy, the National Renewable Energy Laboratory initiated the LCA Harmonization Project in an effort to rigorously leverage the numerous individual studies to develop collective insights. The goals of this project were to: (1) understand the range of published results of LCAs of electricity generation technologies, (2) reduce the variability in published results that stem from inconsistent methods and assumptions, and (3) clarify the central tendency of published estimates to make the collective results of LCAs available to decision makers in the near term. The LCA Harmonization Project's initial focus was evaluating life cycle greenhouse gas (GHG) emissions from electricity generation technologies. Six articles from this first phase of the project are presented in a special supplemental issue of the Journal of Industrial Ecology on Meta-Analysis of LCA: coal (Whitaker et al. 2012), concentrating solar power (Burkhardt et al. 2012), crystalline silicon photovoltaics (PVs) (Hsu et al. 2012), thin-film PVs (Kim et al. 2012), nuclear (Warner and Heath 2012), and wind (Dolan and Heath 2012). Harmonization is a meta-analytical approach that addresses inconsistency in methods and assumptions of previously published life cycle impact estimates. It has been applied in a rigorous manner to estimates of life cycle GHG emissions from many categories of electricity generation technologies in articles that appear in this special supplemental supplemental issue, reducing the variability and clarifying the central tendency of those estimates in ways useful for decision makers and analysts. Each article took a slightly different approach, demonstrating the flexibility of the harmonization approach. Each article also discusses limitations of the current research, and the state of knowledge and of harmonization, pointing toward a path of extending and improving the meta-analysis of LCAs.
Braenzel, J.; Schnürer, M.; Steinke, S.; Priebe, G.; Sandner, W. [Max-Born-Institut für Nichtlineare Optik und Kurzzeitspektroskopie, Max Born Str. 2A, 12489 Berlin (Germany)] [Max-Born-Institut für Nichtlineare Optik und Kurzzeitspektroskopie, Max Born Str. 2A, 12489 Berlin (Germany); Andreev, A. [Max-Born-Institut für Nichtlineare Optik und Kurzzeitspektroskopie, Max Born Str. 2A, 12489 Berlin (Germany) [Max-Born-Institut für Nichtlineare Optik und Kurzzeitspektroskopie, Max Born Str. 2A, 12489 Berlin (Germany); Vavilov State Optical Institute, Birzhevaya line 4, 199034 St. Petersburg (Russian Federation); Platonov, K. [Vavilov State Optical Institute, Birzhevaya line 4, 199034 St. Petersburg (Russian Federation)] [Vavilov State Optical Institute, Birzhevaya line 4, 199034 St. Petersburg (Russian Federation)
2013-08-15T23:59:59.000Z
Theoretical and experimental investigations of the dynamics of a relativistically oscillating plasma slab reveal spectral line splitting in laser driven harmonic spectra, leading to double harmonic series. Both series are well characterized with harmonics arising by two fundamental frequencies. While a relativistic oscillation of the critical density drives the harmonic emission, the splitting is a result of an additional acceleration during the laser pulse duration. In comparison with the oscillatory movement, this acceleration is rather weak and can be described by a plasma shock wave driven by the pressure of light. We introduce particle in cell simulations and an analytical model explaining the harmonic line splitting. The derived analytical formula gives direct access between the splitting in the harmonic spectrum and the acceleration of the plasma surface.
Physics 221B: Solution to HW # 6 1) Born-Oppenheimer for Coupled Harmonic Oscil-
Murayama, Hitoshi
Physics 221B: Solution to HW # 6 1) Born-Oppenheimer for Coupled Harmonic Oscil- lators model of coupled 1D harmonic oscilla- tors. Since we know how to solve the system exactly we can compare + 1 2 k(X2 - x3 - d)2 . Combining into one harmonic oscillator we get H = p2 3 2m + 1 2 2k x3 - X1 + X
Half-harmonic Kelvin probe force microscopy with transfer function correction
Guo, Senli [ORNL] [ORNL; Jesse, Stephen [ORNL] [ORNL; Kalinin, Sergei V [ORNL] [ORNL
2012-01-01T23:59:59.000Z
An approach for surface potential imaging based on half-harmonic band excitation (BE) in Kelvin probe force microscopy is demonstrated. Using linear and half-harmonic BE enables quantitative correction of the cantilever transfer function. Half-harmonic band excitation Kelvin probe force microscopy (HBE KPFM) thus allows quantitative separation of surface potential and topographic contributions to the signal, obviating the primary sources of topographic cross-talk. HBE KPFM imaging and voltage spectroscopy methods are illustrated for several model systems.
Ramanujan's Harmonic Number Expansion into Negative Powers of a Triangular Number
Mark B. Villarino
2007-07-28T23:59:59.000Z
An algebraic transformation of the DeTemple-Wang half-integer approximation to the harmonic series produces the general formula and error estimate for the Ramanujan expansion for the nth harmonic number into negative powers of the nth triangular number. We also discuss the history of the Ramanujan expansion for the nth harmonic number as well as sharp estimates of its accuracy, with complete proofs, and we compare it with other approximative formulas.
Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space
Joseph Ben Geloun; Sunandan Gangopadhyay; Frederik G Scholtz
2009-01-22T23:59:59.000Z
We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a background magnetic field in noncommutative phase-space without making use of any type of representation. A key observation that we make is that for a specific choice of the noncommutative parameters, the time reversal symmetry of the systems get restored since the energy spectrum becomes degenerate. This is in contrast to the noncommutative configuration space where the time reversal symmetry of the harmonic oscillator is always broken.
Dispersion-free monochromatization method for selecting a single-order harmonic beam
Takahashi, Eiji J; Ichimaru, Satoshi; Midorikawa, Katsumi
2015-01-01T23:59:59.000Z
We propose a method to monochromatize multiple orders of high harmonics by using a proper designed multilayer mirror. Multilayer mirrors designed by our concept realize the perfect extraction of a single-order harmonic from multiple-order harmonic beam, and exhibit broadband tenability and high reflectivity in the soft-x-ray region. Furthermore, the proposed monochromatization method can preserve the femtosecond to attosecond pulse duration for the reflected beam. This device is very useful for ultrafast soft x-ray experiments that require high-order harmonic beams, such as femtosecond/attosecond, time-resolved, pump-probe spectroscopy.
N = 4 supersymmetric mechanics: Harmonic superspace as a universal tool of model-building
Ivanov, E. A., E-mail: eivanov@theor.jinr.ru [Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics (Russian Federation)
2013-08-15T23:59:59.000Z
We overview applications of the harmonic superspace approach in models of N = 4supersymmetric mechanics, with emphasis on some recent results.
Numerical studies of third-harmonic generation in laser filament in air perturbed by plasma spot
Feng Liubin [Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Science, Beijing 100190 (China); Institute of Atomic and Molecular Physics and Department of Physics, Sichuan University, Chengdu 610065 (China); Lu Xin; Liu Xiaolong; Li Yutong; Chen Liming; Ma Jinglong; Dong Quanli; Wang Weimin [Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Science, Beijing 100190 (China); Xi Tingting [College of Physical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049 (China); Sheng Zhengming; Zhang Jie [Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Science, Beijing 100190 (China); Key Laboratory for Laser Plasmas of the Ministry of Education of China and Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China); He Duanwei [Institute of Atomic and Molecular Physics and Department of Physics, Sichuan University, Chengdu 610065 (China)
2012-07-15T23:59:59.000Z
Third-harmonic emission from laser filament intercepted by plasma spot is studied by numerical simulations. Significant enhancement of the third-harmonic generation is obtained due to the disturbance of the additional plasma. The contribution of the pure plasma effect and the possible plasma-enhanced third-order susceptibility on the third-harmonic generation enhancement are compared. It is shown that the plasma induced cancellation of destructive interference [Y. Liu et al., Opt. Commun. 284, 4706 (2011)] of two-colored filament is the dominant mechanism of the enhancement of third-harmonic generation.
Analysis and Design of New Harmonic Mitigation Approaches
Aeloiza Matus, Eddy 1972-
2012-11-01T23:59:59.000Z
is proposed to reduce the HF circulating current and a zero-sequence control loop to mitigate the low frequency circulating current is also proposed [56]-[58]. 5 Power Quality Standards 1.2. IEEE 519-1981 [67] 1.2.1 In 1981... to determine whether or not the new converters were going to be a problem. It was impractical and not economical to mitigate the harmonics for each non-linear load. Therefore, the IEEE 519-1981 was designed to help these users with the application...
A non-conforming 3D spherical harmonic transport solver
Van Criekingen, S. [Commissariat a l'Energie Atomique CEA-Saclay, DEN/DM2S/SERMA/LENR Bat 470, 91191 Gif-sur-Yvette, Cedex (France)
2006-07-01T23:59:59.000Z
A new 3D transport solver for the time-independent Boltzmann transport equation has been developed. This solver is based on the second-order even-parity form of the transport equation. The angular discretization is performed through the expansion of the angular neutron flux in spherical harmonics (PN method). The novelty of this solver is the use of non-conforming finite elements for the spatial discretization. Such elements lead to a discontinuous flux approximation. This interface continuity requirement relaxation property is shared with mixed-dual formulations such as the ones based on Raviart-Thomas finite elements. Encouraging numerical results are presented. (authors)
Quantum Energy Teleportation with a Linear Harmonic Chain
Yasusada Nambu; Masahiro Hotta
2010-10-14T23:59:59.000Z
A protocol of quantum energy teleportation is proposed for a one-dimensional harmonic chain. A coherent-state POVM measurement is performed to coupled oscillators of the chain in the ground state accompanied by energy infusion to the system. This measurement consumes a part of ground state entanglement. Depending on the measurement result, a displacement operation is performed on a distant oscillator accompanied by energy extraction from the zero-point fluctuation of the oscillator. We find that the amount of consumed entanglement is bounded from below by a positive value that is proportional to the amount of teleported energy.
The effect of singular potentials on the harmonic oscillator
Filgueiras, C. [Departamento de Fisica, Universidade Federal da Paraiba, Caixa Postal 5008, 58051-900 Joao Pessoa, PB (Brazil); Silva, E.O. [International Institute of Physics, Universidade Federal do Rio Grande do Norte, Campus Universitario Lagoa Nova, 59.072-970 Natal, RN (Brazil); Oliveira, W. [Departamento de Fisica, Universidade Federal de Juiz de Fora, 36.036-330 Juiz de Fora, MG (Brazil); Moraes, F., E-mail: moraes@fisica.ufpb.b [Departamento de Fisica, Universidade Federal da Paraiba, Caixa Postal 5008, 58051-900 Joao Pessoa, PB (Brazil)
2010-11-15T23:59:59.000Z
We address the problem of a quantum particle moving under interactions presenting singularities. The self-adjoint extension approach is used to guarantee that the Hamiltonian is self-adjoint and to fix the choice of boundary conditions. We specifically look at the harmonic oscillator added of either a {delta}-function potential or a Coulomb potential (which is singular at the origin). The results are applied to Landau levels in the presence of a topological defect, the Calogero model and to the quantum motion on the noncommutative plane.
Second-harmonic generation in transition-metal-organic compounds
Frazier, C.C.; Harvey, M.A.; Cockerham, M.P.; Hand, H.M.; Chauchard, E.A.; Lee, C.H.
1986-10-23T23:59:59.000Z
The second-harmonic generation efficiencies of over 60 transition-metal-organic compounds in powder form were measured, using 1.06 ..mu..m light from a Nd:YAG laser. Most of the studied compounds were either group VI metal carbonyl arene, pyridyl, or chiral phosphine complexes. Four the complexes doubled the laser fundamental as well as or better than ammonium dihydrogen phosphate (ADP). The study shows that the same molecular features (e.g., conjugation and low-lying spectroscopic charge transfer) that contribute to second-order optical nonlinearity in organic compounds also enhance second-order effects in transition-metal-organic compounds.
Harmonic initial-boundary evolution in general relativity
Babiuc, Maria C. [Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States); Szilagyi, Bela [Max-Planck-Institut fuer Gravitationsphysik, Albert-Einstein-Institut, 14476 Golm (Germany); Winicour, Jeffrey [Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States); Max-Planck-Institut fuer Gravitationsphysik, Albert-Einstein-Institut, 14476 Golm (Germany)
2006-03-15T23:59:59.000Z
Computational techniques which establish the stability of an evolution-boundary algorithm for a model wave equation with shift are incorporated into a well-posed version of the initial-boundary value problem for gravitational theory in harmonic coordinates. The resulting algorithm is implemented as a 3-dimensional numerical code which we demonstrate to provide stable, convergent Cauchy evolution in gauge wave and shifted gauge wave testbeds. Code performance is compared for Dirichlet, Neumann, and Sommerfeld boundary conditions and for boundary conditions which explicitly incorporate constraint preservation. The results are used to assess strategies for obtaining physically realistic boundary data by means of Cauchy-characteristic matching.
Quantum Energy Teleportation with a Linear Harmonic Chain
Nambu, Yasusada
2010-01-01T23:59:59.000Z
A protocol of quantum energy teleportation is proposed for a one-dimensional harmonic chain. A coherent-state POVM measurement is performed to coupled oscillators of the chain in the ground state accompanied by energy infusion to the system. This measurement consumes a part of ground state entanglement. Depending on the measurement result, a displacement operation is performed on a distant oscillator accompanied by energy extraction from the zero-point fluctuation of the oscillator. We find that the amount of consumed entanglement is bounded from below by a positive value that is proportional to the amount of teleported energy.
Harmonic Initial-Boundary Evolution in General Relativity
Maria C. Babiuc; Bela Szilagyi; Jeffrey Winicour
2006-03-14T23:59:59.000Z
Computational techniques which establish the stability of an evolution-boundary algorithm for a model wave equation with shift are incorporated into a well-posed version of the initial-boundary value problem for gravitational theory in harmonic coordinates. The resulting algorithm is implemented as a 3-dimensional numerical code which we demonstrate to provide stable, convergent Cauchy evolution in gauge wave and shifted gauge wave testbeds. Code performance is compared for Dirichlet, Neumann and Sommerfeld boundary conditions and for boundary conditions which explicitly incorporate constraint preservation. The results are used to assess strategies for obtaining physically realistic boundary data by means of Cauchy-characteristic matching.
On the harmonic oscillator on the Lobachevsky plane
P. Stovicek; M. Tusek
2007-09-24T23:59:59.000Z
We introduce the harmonic oscillator on the Lobachevsky plane with the aid of the potential $V(r)=(a^2\\omega^2/4)sinh(r/a)^2$ where $a$ is the curvature radius and $r$ is the geodesic distance from a fixed center. Thus the potential is rotationally symmetric and unbounded likewise as in the Euclidean case. The eigenvalue equation leads to the differential equation of spheroidal functions. We provide a basic numerical analysis of eigenvalues and eigenfunctions in the case when the value of the angular momentum, $m$, equals 0.
Harmonic coordinates in the string and membrane equations
Chun-Lei He; Shou-Jun Huang
2010-04-16T23:59:59.000Z
In this note, we first show that the solutions to Cauchy problems for two versions of relativistic string and membrane equations are diffeomorphic. Then we investigate the coordinates transformation presented in Ref. [9] (see (2.20) in Ref. [9]) which plays an important role in the study on the dynamics of the motion of string in Minkowski space. This kind of transformed coordinates are harmonic coordinates, and the nonlinear relativistic string equations can be straightforwardly simplified into linear wave equations under this transformation.
Generalized energy equipartition in harmonic oscillators driven by active baths
Claudio Maggi; Matteo Paoluzzi; Nicola Pellicciotta; Alessia Lepore; Luca Angelani; Roberto Di Leonardo
2014-11-06T23:59:59.000Z
We study experimentally and numerically the dynamics of colloidal beads confined by a harmonic potential in a bath of swimming E. coli bacteria. The resulting dynamics is well approximated by a Langevin equation for an overdamped oscillator driven by the combination of a white thermal noise and an exponentially correlated active noise. This scenario leads to a simple generalization of the equipartition theorem resulting in the coexistence of two different effective temperatures that govern dynamics along the flat and the curved directions in the potential landscape.
Temperature-insensitive phase-matched optical harmonic conversion crystal
Barker, C.E.; Eimerl, D.; Velsko, S.P.; Roberts, D.
1993-11-23T23:59:59.000Z
Temperature-insensitive, phase-matched harmonic frequency conversion of laser light at a preferred wavelength of 1.064 microns can be achieved by use of a crystal of deuterated l-arginine phosphate. The crystal is cut and oriented so that the laser light propagates inside the crystal along one of several required directions, which correspond to a temperature-insensitive, phase-matching locus. The method of measuring and calculating the temperature-insensitive, phase-matching angles can be extended to other fundamental wavelengths and other crystal compositions. 12 figures.
Harmonized Emissions Analysis Tool (HEAT) | Open Energy Information
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page onYou are now leaving Energy.gov You are now leaving Energy.gov You are being directedAnnual SiteofEvaluatingGroup | Open Energy Information Hanergy HoldingsHansatronicHarmonized
Characterization of Second Harmonic Afterburner Radiation at the LCLS
Nuhn, Heinz-Dieter
2010-09-14T23:59:59.000Z
During commissioning of the Linac Coherent Light Source (LCLS) x-ray Free Electron Laser (FEL) at the SLAC National Accelerator Laboratory it was shown that saturation lengths much shorter than the installed length of the undulator line can routinely be achieved. This frees undulator segments that can be used to provide enhanced spectral properties and at the same time, test the concept of FEL Afterburners. In December 2009 a project was initiated to convert undulator segments at the down-beam end of the undulator line into Second Harmonic Afterburners (SHAB) to enhance LCLS radiation levels in the 10-20 keV energy range. This is being accomplished by replacement of gap-shims increasing the fixed gaps from 6.8 mm to 9.9 mm, which reduces their K values from 3.50 to 2.25 and makes the segments resonant at the second harmonic of the upstream unmodified undulators. This paper reports experimental results of the commissioning of the SHAB extension to LCLS.
Increased surface plasmon resonance sensitivity with the use of double Fourier harmonic gratings
Boyer, Edmond
Increased surface plasmon resonance sensitivity with the use of double Fourier harmonic gratings in the formalism of poles and zeros of the scattering matrix. Surface plasmon resonance is used to increase that a direct coupling between counter propagating surface plasmons using double-harmonic Fourier gratings leads
Santolik, Ondrej
Power line harmonic radiation observed by satellite: Properties and propagation through of power line harmonic radiation events observed by the low-altitude DEMETER spacecraft. Altogether, 88 with the largest intensities often occur off exact multiples of base power system frequency. This can be explained
High-order harmonic transient grating spectroscopy of SF6 molecular vibrations Amelie Ferre1
Paris-Sud XI, Université de
High-order harmonic transient grating spectroscopy of SF6 molecular vibrations Am´elie Ferr´e1. Here we use this technique to investigate the high-order harmonic genera- tion from SF6 molecules emission generated between 14 to 26 eV is mainly sensitive to two among the three active Raman modes in SF6
Hydrogen Generation from Water Disassociation Using Small Currents and Harmonics Trien N. Nguyen1
Zhou, Yaoqi
Hydrogen Generation from Water Disassociation Using Small Currents and Harmonics Trien N. Nguyen1 1 Department of Physics, Purdue School of Science Hydrogen can be produced cheaply and efficiently from water sources using a combination of harmonics and small currents. Hydrogen is a clean and virtually
A Multipole Based Treecode Using Spherical Harmonics for Potentials of the Form r-
Sarin, Vivek
A Multipole Based Treecode Using Spherical Harmonics for Potentials of the Form r- Kasthuri spherical harmonics to compute multipole coefficients that are used to evaluate these potentials. The key of the multipole expansion theorem used in the classical fast multipole algorithm [2]. This theorem is used
Silberberg, Yaron
Polarization gating of high-order harmonic generation takes advantage of the significant reduction of har for generation of polarization gated pulses using wave-plate combinations is inefficient, and propose photon energy radiation from the harmonic spectrum. Need- less to say, the generation of near single
Edge ion heating by launched high harmonic fast waves in the National Spherical Torus Experiment
Biewer, Theodore
Edge ion heating by launched high harmonic fast waves in the National Spherical Torus Experiment T al., Fusion Technology 30, 1337 (1996)] measures the velocity distribution of ions in the plasma edge power High Harmonic Fast Wave (HHFW) rf heating in helium plasmas, with the poloidal ion temperature
Injection of harmonics generated in gas in a free-electron laser providing intense and
Loss, Daniel
LETTERS Injection of harmonics generated in gas in a free-electron laser providing intense lasers promise to extend this down to femtosecond timescales. The process by which free-electron lasers of the free-electron laser saturation length, and the generation of nonlinear harmonics13 at 54 nm and 32 nm
Two-beam high-order harmonics from solids: Coupling mechanisms
Tarasevitch, A.; Wieczorek, J.; Kohn, R.; Bovensiepen, U.; Linde, D. von der [Fakultaet fuer Physik, Universitaet Duisburg-Essen, Lotharstr. 1, 47048 Duisburg (Germany)
2010-11-15T23:59:59.000Z
The polarization of the two beam (driver-probe) high-order harmonic generation from solids is measured. The experiments, together with computer simulations, allow us to distinguish two different coupling mechanisms of the driver and the probe, resulting in different harmonic efficiencies and spectral slopes. We find that in the nonrelativistic regime the coupling is mostly due to the nonlinear plasma density modulation.
High-order harmonic generation in the presence of a static electric field
Odzak, S. [Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo (Bosnia and Herzegowina); Milosevic, D.B. [Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo (Bosnia and Herzegowina); Max-Born-Institut, Max-Born-Strasse 2a, 12489 Berlin (Germany)
2005-09-15T23:59:59.000Z
We consider high-order harmonic generation by a linearly polarized laser field and a parallel static electric field. We first develop a modified saddle-point method which enables a quantitative analysis of the harmonic spectra even in the presence of Coulomb singularities. We introduce a classification of the saddle-point solutions and show that, in the presence of a static electric field which breaks the inversion symmetry, an additional classification number has to be introduced and that the usual saddle-point approximation and the uniform approximation in the case of the coalescing saddle points have to be modified. The theory developed offers a simple and accurate explanation of the static-field-induced multiplateau structure of the harmonic spectra. The longer quantum orbits are responsible for a long extension of the harmonic plateau, while the larger initial electron velocities are the reason of lower harmonic emission rates.
Relativistic second harmonic generation from an S-polarized laser in over-dense plasma
Adusumilli, K.; Goyal, D.; Tripathi, V. K. [Department of Physics, Indian Institute of Technology-Delhi, Delhi, New Delhi 110016 (India)
2011-08-15T23:59:59.000Z
A relativistic S-polarized short pulse laser impinged obliquely on an overdense plasma thin foil is shown to produce very significant second harmonic in the direction of specular reflection. The second harmonic is P-polarized and is driven by the second harmonic ponderomotive force on electrons in the skin layer. The treatment incorporates the electron density modification by the static ponderomotive force and mass modification due to relativistic effects. The second harmonic reflected amplitude is greatest for an optimum value of the angle of incidence. The conversion efficiency of the second harmonic is greater for higher values of incident laser amplitude and lower values of electron density in the foil. The equivalence between the total ponderomotive force and the radiation pressure force is also demonstrated.
Performance study of a soft X-ray harmonic generation FEL seeded with an EUV laser pulse
Gullans, M.; Wurtele, J.S.; Penn, G.; Zholents, A.A.
2007-01-01T23:59:59.000Z
X-ray Harmonic Generation FEL Seeded with an EUV Laser PulseX-ray harmonic generation FEL seeded with an EUV laser pulseof a free electron laser (FEL) using a low-power extreme
Polarization-Modulated Second Harmonic Generation Microscopy in Collagen
Stoller, P C
2002-09-30T23:59:59.000Z
Collagen is a key structural protein in the body; several pathological conditions lead to changes in collagen. Among imaging modalities that can be used in vivo, second harmonic generation (SHG) microscopy has a key advantage: it provides {approx}1 {micro}m resolution information about collagen structure as a function of depth. A new technique--polarization-modulated SHG--is presented: it permits simultaneous measurement of collagen orientation, of a lower bound on the magnitude of the second order nonlinear susceptibility tensor, and of the ratio of the two independent elements in this tensor. It is applied to characterizing SHG in collagen and to determining effects of biologically relevant changes in collagen structure. The magnitude of the second harmonic signal in two dimensional images varies with position even in structurally homogeneous tissue; this phenomenon is due to interference between second harmonic light generated by neighboring fibrils, which are randomly oriented parallel or anti-parallel to each other. Studies in which focal spot size was varied indicated that regions where fibrils are co-oriented are less than {approx}1.5 {micro}m in diameter. A quartz reference was used to determine the spot size as well as a lower limit (d{sub xxx} > 0.3 pm/V) for the magnitude of the second order nonlinear susceptibility. The ratio of the two independent tensor elements ranged between d{sub XYY}/d{sub XXX} = 0.60 and 0.75. SHG magnitude alone was not useful for identifying structural anomalies in collagenous tissue. Instead, changes in the polarization dependence of SHG were used to analyze biologically relevant perturbations in collagen structure. Changes in polarization dependence were observed in dehydrated samples, but not in highly crosslinked samples, despite significant alterations in packing structure. Complete thermal denaturation and collagenase digestion produced samples with no detectable SHG signal. Collagen orientation was measured in thin samples of several different tissues in transmission mode as well as at different depths (up to 200 {micro}m) in thick samples in reflection mode; birefringence had no effect on the measurement. These studies showed that SHG microscopy was capable of detecting pathophysiological changes in collagen structure, suggesting that this technique has potential clinical applications.
An Ning; Ren Huaijin [Department of Physics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240 (China); State Key Laboratory on Fiber Optic Local Area Communication Networks and Advanced Optical Communication Systems, Shanghai 200240 (China); Zheng Yuanlin [Department of Physics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240 (China); Key Laboratory for Laser Plasmas (Ministry of Education), Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240 (China); Deng Xuewei [Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, Sichuan 621900 (China); Chen Xianfeng [Department of Physics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240 (China); State Key Laboratory on Fiber Optic Local Area Communication Networks and Advanced Optical Communication Systems, Shanghai 200240 (China); Key Laboratory for Laser Plasmas (Ministry of Education), Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240 (China)
2012-05-28T23:59:59.000Z
We propose a scheme for efficient Cherenkov high-order harmonic generation. Second to fifth order harmonic wave are observed in a single periodically poled ferroelectric crystal in our experiment. The noncollinear high-order harmonic generation is produced via enhanced Cherenkov second harmonic cascaded with successive multistep sum-frequency generation with simultaneously longitudinal phase-matching. The emission angle and power dependencies are analyzed in detail experimentally, which coincide with theoretical predictions.
Thermal transport in out of equilibrium quantum harmonic chains
F. Nicacio; A. Ferraro; A. Imparato; M. Paternostro; F. L. Semião
2015-04-15T23:59:59.000Z
We address the problem of heat transport in a chain of coupled quantum harmonic oscillators, exposed to the influences of local environments of various nature, stressing the effects that the specific nature of the environment has on the phenomenology of the transport process. We study in detail the behavior of thermodynamically relevant quantities such as heat currents and mean energies of the oscillators, establishing rigorous analytical conditions for the existence of a steady state, whose features we analyse carefully. In particular we assess the conditions that should be faced to recover trends reminiscent of the classical Fourier law of heat conduction and highlight how such a possibility depends on the environment linked to our system.
Multipole expansions in four-dimensional hyperspherical harmonics
A. V. Meremianin
2006-06-27T23:59:59.000Z
The technique of vector differentiation is applied to the problem of the derivation of multipole expansions in four-dimensional space. Explicit expressions for the multipole expansion of the function $r^n C_j (\\hr)$ with $\\vvr=\\vvr_1+\\vvr_2$ are given in terms of tensor products of two hyperspherical harmonics depending on the unit vectors $\\hr_1$ and $\\hr_2$. The multipole decomposition of the function $(\\vvr_1 \\cdot \\vvr_2)^n$ is also derived. The proposed method can be easily generalised to the case of the space with dimensionality larger than four. Several explicit expressions for the four-dimensional Clebsch-Gordan coefficients with particular values of parameters are presented in the closed form.
Improved gauge driver for the generalized harmonic Einstein system
Lindblom, Lee; Szilagyi, Bela [Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125 (United States)
2009-10-15T23:59:59.000Z
A new gauge driver is introduced for the generalized harmonic (GH) representation of Einstein's equation. This new driver allows a rather general class of gauge conditions to be implemented in a way that maintains the hyperbolicity of the combined evolution system. This driver is more stable and effective and, unlike previous drivers, allows stable evolutions using the dual-frame evolution technique. Appropriate boundary conditions for this new gauge driver are constructed, and a new boundary condition for the 'gauge' components of the spacetime metric in the GH Einstein system is introduced. The stability and effectiveness of this new gauge driver are demonstrated through numerical tests, which impose a new damped-wave gauge condition on the evolutions of single black-hole spacetimes.
High performance control of harmonic instability from HVDC link system
Min, W.K.; Yoo, M.H. [Korea Electric Power Research Inst., Taejeon (Korea, Republic of)
1995-12-31T23:59:59.000Z
This paper investigates the usefulness of novel control method for HVDC link system which suffers from severe condition of low order harmonic. This control scheme is used the feedforward control method which is directly controlled dc current at dc link system. The studies of this paper are aimed to improving the dynamic response of HVdc link system in disturbances such as faults. To achieve those objectives, digital time domain simulations are employed by the electro magnetic transient program for dc system (EMTDC). This method results in stable recovery from faults at both rectifier and inverter terminal busbars for a HVdc system that is inherently unstable. It has been found to be robust and control performance has been enhanced.
Theory of Second-Harmonic Generation in Colloidal Crystals J. P. Huang,* Y. C. Jian, and C. Z. Fan
Huang, Ji-Ping
Theory of Second-Harmonic Generation in Colloidal Crystals J. P. Huang,* Y. C. Jian, and C. Z. Fan-Kornfeld formulation, we study the effective susceptibility of second-harmonic generation (SHG) in colloidal crystals of second-harmonic generation (SHG); that is, an input (pump) wave can generate another wave with twice
Boschi, Lapo
Can the Earth's harmonic spectrum be derived directly from1 the stochastic inversion of global globe, to a statistical measure of the Earth's complexity: its spherical-harmonic spectrum.18 We follow averaged variance and harmonic spectrum; one can then determine the20 latter from a measurement
HARMONIC FUNCTIONS FOR SEA-SURFACE TEMPERATURES AND SALINITIES, KOKO HEAD, OAHU, 1956-69, AND SEA-SURFACE TEMPERATURES, CHRISTMAS ISLAND, 1954-69 GUNTHER It SECKEL' AND MARIAN Y. Y. YONG' ABSTRACT Harmonic functions, with daily sampling, are on average 0.07Â° C. Harmonic analysis spanning the entire sampling duration shows
Texas at Austin. University of
Harmonic generation by reflecting internal waves Bruce Rodenborn, D. Kiefer, H. P. Zhang, and Harry harmonics and mixing. We use laboratory experiments and two-dimensional numerical simulations of the Navier harmonic waves in the reflection process. The results from our experiments and simulations agree well
Chu, Shih-I
ionization and high-order-harmonic generation driven by intense frequency-comb laser fields: An ab initio investigation of the coherent control and significant enhancement of multiphoton ionization (MPI) and high-order-harmonic and molecular dynamics [28Â30], and the generation of soft-x-ray attosecond pulses by high-order-harmonic
RF physics of ICWC discharge at high cyclotron harmonics
Lyssoivan, A.; Van Eester, D.; Wauters, T.; Vervier, M.; Van Schoor, M. [Association Euratom-Belgian State, LPP-ERM-KMS, 1000 Brussels (Belgium); Bobkov, V.; Rohde, V.; Schneider, P. [Association Euratom-IPP, Max-Planck Institut für Plasmaphysik, 85748 Garching (Germany); Douai, D.; Kogut, D. [Association Euratom-CEA, CEA, IRFM, 13108 St Paul lez Durance (France); Kreter, A.; Möller, S.; Philipps, V.; Sergienko, G. [Association Euratom-IEK-4, Forschungszentrum Jülich, 52425 Jülich (Germany); Moiseenko, V. [Institute of Plasma Physics NSC KIPT, 61108 Kharkiv (Ukraine); Noterdaeme, J.-M. [Association Euratom-IPP, Max-Planck Institut für Plasmaphysik, 85748 Garching, Germany and Ghent University, 9000 Ghent (Belgium); Collaboration: TEXTOR Team; ASDEX Upgrade Team
2014-02-12T23:59:59.000Z
Recent experiments on Ion Cyclotron Wall Conditioning (ICWC) performed in tokamaks TEXTOR and ASDEX Upgrade with standard ICRF antennas operated at fixed frequencies but variable toroidal magnetic field demonstrated rather contrasting parameters of ICWC discharge in scenarios with on-axis fundamental ion cyclotron resonance (ICR) for protons,?=?{sub H+}, and with its high cyclotron harmonics (HCH), ?=10?{sub cH+}? HCH scenario: very high antenna coupling to low density RF plasmas (P{sub pl}?0.9P{sub RF-G}) and low energy Maxwellian distribution of CX hydrogen atoms with temperature T{sub H}?350 eV. Fundamental ICR: lower antenna-plasma coupling efficiency (by factor of about 1.5 times) and generation of high energy non-Maxwellian CX hydrogen atoms (with local energy E{sub ?H} ?1.0 keV). In the present paper, we analyze the obtained experimental results numerically using (i) newly developed 0-D transport code describing the process of plasma production with electron and ion collisional ionization in helium-hydrogen gas mixture and (ii) earlier developed 1-D Dispersion Relation Solver accounting for finite temperature effects and collision absorption mechanisms for all plasma species in addition to conventionally examined Landau/TTPM damping for electrons and cyclotron absorption for ions. The numerical study of plasma production in helium with minor hydrogen content in low and high toroidal magnetic fields is presented. The investigation of the excitation, conversion and absorption of plasma waves as function of B{sub T}-field suggests that only fast waves (FW) may give a crucial impact on antenna coupling and characteristics of the ICWC discharge using standard poloidally polarized ICRF antennas designed to couple RF power mainly to FW. The collisional (non-resonant) absorption by electrons and ions and IC absorption by resonant ions of minor concentration in low T{sub e} plasmas is studied at fundamental ICR and its high harmonics.
Klein, Stanley
METHODS Four combinations of two cosine gratings, the 2nd and 6th harmonics of a 0.5 c/deg grating harmonic in isolation, pattern 2 is the 6th harmonic in isolation, pattern 3 is the 2nd plus the 6th and pattern 4 is the 2nd minus the 6th. The one-dimensional noise was the sum of 1st-7th harmonics of a 0.5c
Theoretical analysis of high-order harmonic generation from a coherent superposition of states
Milosevic, Dejan B. [Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo (Bosnia and Herzegowina); Max-Born-Institut, Max-Born-Strasse 2a, Berlin, 12489 (Germany)
2006-02-15T23:59:59.000Z
A quantum theory of high-order harmonic generation by a strong laser field in the presence of more bound states is formulated. The obtained numerical and analytical results for a two-state hydrogenlike atom model show that the harmonic spectrum consists of two parts: a usual single-state harmonic spectrum of odd harmonics having the energies (2k+1){omega} and a resonant part with the peaks around the excitation energy {delta}{omega}. The energy of the harmonics in the resonant part of the spectrum is equal to {delta}{omega}{+-}{omega}, {delta}{omega}{+-}3{omega}, .... For energies higher than the excitation energy, the resonant part forms a plateau, followed by a cutoff. The emission rate of the harmonics in this resonant plateau is many orders of magnitude higher than that of the harmonics generated in the presence of the ground state alone. The influence of the depletion of the initial states, as well as of the pulse shape and intensity, is analyzed.
Resonant third-harmonic generation of a short-pulse laser from electron-hole plasmas
Kant, Niti [Department of Physics, Lovely Professional University, Phagwara, Punjab 144 402 (India); Nandan Gupta, Devki [Department of Physics and Astrophysics, University of Delhi, Delhi 110 007 (India); Suk, Hyyong [Advanced Photonics Research Institute (APRI) and Graduate Program of Photonics and Applied Physics, Gwangju Institute of Science and Technology, Gwangju 500 712 (Korea, Republic of)
2012-01-15T23:59:59.000Z
In semiconductors, free carriers are created in pairs in inter-band transitions and consist of an electron and its corresponding hole. At very high carrier densities, carrier-carrier collisions dominate over carrier-lattice collisions and carriers begin to behave collectively to form plasma. Here, we apply a short-pulse laser to generate third-harmonic radiation from a semiconductor plasma (electron-hole plasma) in the presence of a transverse wiggler magnetic-field. The process of third-harmonic generation of an intense short-pulse laser is resonantly enhanced by the magnetic wiggler, i.e., wiggler magnetic field provides the necessary momentum to third-harmonic photons. In addition, a high-power laser radiation, propagating through a semiconductor imparts an oscillatory velocity to the electrons and exerts a ponderomotive force on electrons at the third-harmonic frequency of the laser. This oscillatory velocity produces a third-harmonic longitudinal current. And due to the beating of the longitudinal electron velocity and the wiggler magnetic field, a transverse third-harmonic current is produced that drives third-harmonic electromagnetic radiation. It is finally observed that for a specific wiggler wave number value, the phase-matching conditions for the process are satisfied, leading to resonant enhancement in the energy conversion efficiency.
Analysis of higher harmonic contamination with a modified approach using a grating analyser
Gupta, Rajkumar, E-mail: rkg@rract.gov.in; Modi, Mohammed H.; Lodha, G. S. [X-ray Optics Section, Indus Synchrotrons Utilization Division, Raja Ramanna Centre for Advanced Technology, Indore 452 013 (India)] [X-ray Optics Section, Indus Synchrotrons Utilization Division, Raja Ramanna Centre for Advanced Technology, Indore 452 013 (India); Kumar, M.; Chakera, J. A. [Laser Plasma Division, Raja Ramanna Centre for Advanced Technology, Indore 452 013 (India)] [Laser Plasma Division, Raja Ramanna Centre for Advanced Technology, Indore 452 013 (India)
2014-04-15T23:59:59.000Z
Soft x-ray spectra of the toroidal grating monochromator (TGM) at the reflectivity beamline of Indus-1 synchrotron source are analyzed for higher harmonic contribution. A diffraction grating of central line spacing 1200 l/mm is used to disperse the monochromatic beam received from TGM to quantify the harmonic contents in the 50–360 Å wavelength range. In order to calculate the harmonic contamination, conventionally the intensity of higher order peak is divided by first order peak intensity of the desired wavelength. This approach is found to give wrong estimate as first order peak itself is overlapped by higher order peaks. In the present study, a modified approach has been proposed to calculate harmonic contamination where the intensity contributions of overlapping orders have been removed from the first order diffraction peak of the desired wavelength. It is found that the order contamination in the TGM spectra is less than 15% in the wavelength range of 90–180 Å. The total harmonic contribution increases from 6%–60% in the wavelength range of 150–260 Å. The critical wavelength of Indus-1 is 61 Å hence the harmonic contamination below 90 Å is significantly low. The results obtained with modified approach match well with those obtained by quantitative analysis of multilayer reflectivity data. The obtained higher harmonics data are used to fit the transmission of aluminum edge filter in the 120–360 Å wavelength range.
Boyarinov, V. F.; Kondrushin, A. E.; Fomichenko, P. A. [National Research Center, Kurchatov Inst., Kurchatov Sq. 1, Moscow (Russian Federation)
2012-07-01T23:59:59.000Z
Finite-difference time-dependent equations of Surface Harmonics method have been obtained for plane geometry. Verification of these equations has been carried out by calculations of tasks from 'Benchmark Problem Book ANL-7416'. The capacity and efficiency of the Surface Harmonics method have been demonstrated by solution of the time-dependent neutron transport equation in diffusion approximation. The results of studies showed that implementation of Surface Harmonics method for full-scale calculations will lead to a significant progress in the efficient solution of the time-dependent neutron transport problems in nuclear reactors. (authors)
Harmonics suppression effect of the quasi-periodic undulator in SASE free-electron-laser
Ai-Lin Wu; Qi-Ka Jia; He-Ting Li
2013-05-03T23:59:59.000Z
In this paper, the harmonics suppression effect of QPUs in SASE FEL is investigated. The numerical results show that the harmonics power is reduced by using QPUs, but the fundamental radiation power also has a pronounced decrease as the saturation length gets very long. The cases of employing QPUs as parts of undulators are studied. The calculations show that if the fraction of QPUs and their offgap are appropriate in an undulator system, the harmonics radiation could be suppressed remarkably, meanwhile the fundamental saturation length does not increase too much.
Analysis of second harmonic instability for the Chateauguay HVDC/SVC scheme
Hammad, A.E. (ABB Power Systems, 5401-Baden (CH))
1992-01-01T23:59:59.000Z
The Chateauguay HVDC back-to-back scheme with interconnections to the 765 kV transmission to U.S.A. and to Beauharnois generators can exhibit, under certain operating conditions, second harmonic resonance problems. This paper presents a thorough analysis of the problem using an eigenvalue and frequency domain approach. The analysis explains the mechanism of exciting the second harmonic instability by the presence of HVDC converters. The influence of changing the control parameters of the static VAR compensatory at the Chateauguay terminal is also studied. Finally, an assessment is made for the effectiveness of present countermeasure schemes, namely; the auxiliary dc stabilizing controls and the installation of second harmonic filters.
On compactified harmonic/projective superspace, 5D superconformal theories, and all that
Sergei M. Kuzenko
2007-07-16T23:59:59.000Z
Within the supertwistor approach, we analyse the superconformal structure of 4D N = 2 compactified harmonic/projective superspace. In the case of 5D superconformal symmetry, we derive the superconformal Killing vectors and related building blocks which emerge in the transformation laws of primary superfields. Various off-shell superconformal multiplets are presented both in 5D harmonic and projective superspaces, including the so-called tropical (vector) multiplet and polar (hyper)multiplet. Families of superconformal actions are described both in the 5D harmonic and projective superspace settings. We also present examples of 5D superconformal theories with gauged central charge.
Raman shifted third harmonic generation of upper hybrid radiation in a plasma
Magesh Kumar, K.K.; Singh, Ranjeet; Tripathi, V. K. [Department of Physics, Indian Institute of Technology Delhi, New Delhi-110016 (India)
2012-11-15T23:59:59.000Z
Raman shifted third harmonic generation of upper hybrid radiation is proposed and studied. In the presence of ambient magnetic field, the plasma wave present in the system produces electron density ripple (perturbation) which couples with the velocity imparted by the nonlinear ponderomotive force at twice the laser frequency producing the Raman shifted third harmonic field. The wave vector of the plasma wave provides the uncompensated momentum necessary for phase matching condition. The applied magnetic field can be adjusted to have the phase matching for the given plasma frequency. The energy conversion ratio from pump to the Raman shifted third harmonic generation of upper hybrid radiation is analyzed.
Third harmonic stimulated Raman backscattering of laser in a magnetized plasma
Paknezhad, Alireza [Physics Department, Shabestar Branch, Islamic Azad University, Shabestar (Iran, Islamic Republic of)] [Physics Department, Shabestar Branch, Islamic Azad University, Shabestar (Iran, Islamic Republic of); Dorranian, Davoud [Laser Lab., Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran (Iran, Islamic Republic of)] [Laser Lab., Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran (Iran, Islamic Republic of)
2013-09-15T23:59:59.000Z
This article studies the nonlinear Raman shifted third harmonic backscattering of an intense extraordinary laser wave through a homogenous transversely magnetized cold plasma. Due to the relativistic nonlinearity, the plasma dynamic is modified in the presence of transversely magnetic field, and this can generate the third harmonic scattered wave and an electrostatic upper hybrid wave via the Raman scattering process. Using the nonlinear wave equation, the mechanism of nonlinear third harmonic Raman scattering is discussed in detail to obtain the maximum growth rate of instability in the mildly relativistic regime. The growth rate decreases as the static magnetic field increases. It also increases with the pump wave amplitude.
Generation of high-power tunable terahertz-radiation by nonrelativistic beam-echo harmonic effect
Gong Huarong; Xu Jin; Wei Yanyu; Gong Yubin [National Key Laboratory of Science and Technology on Vacuum Electronics, School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054 (China); Travish, Gil [Department of Physics and Astronomy, University of California, Los Angeles, California 90095 (United States); Feng Jinjun [Vacuum Electronics National Laboratory, Vacuum Electronics research Institute, Beijing 100016 (China)
2013-01-15T23:59:59.000Z
A new type of terahertz radiation source based on the nonrelativistic electron beam-wave interaction is proposed. Here, the beam echo harmonic effect is applied to a traveling wave tube like device. The scheme is configured as a combination of a frequency multiplier and amplifier with, for instance, W-band (millimeter wave) input signals and terahertz output power. A one-dimensional model of this device shows that a 10th order harmonic-wave can be generated while other harmonic waves are suppressed. The device only requires a readily available input source (W-band), and the output frequency can be tuned continuously over a wide band.
Electro-optic harmonic conversion to switch a laser beam out of a cavity
Haas, Roger A. (Pleasanton, CA); Henesian, Mark A. (Livermore, CA)
1987-01-01T23:59:59.000Z
The invention is a switch to permit a laser beam to escape a laser cavity through the use of an externally applied electric field across a harmonic conversion crystal. Amplification takes place in the laser cavity, and then the laser beam is switched out by the laser light being harmonically converted with dichroic or polarization sensitive elements present to alter the optical path of the harmonically converted laser light. Modulation of the laser beam can also be accomplished by varying the external electric field.
Generalized Harmonic Oscillator and the Schrödinger Equation with Position-Dependent Mass
Ju Guo-Xing; Cai Chang-Ying; Ren Zhong-Zhou
2007-07-22T23:59:59.000Z
We study the generalized harmonic oscillator which has both the position-dependent mass and the potential depending on the form of mass function in a more general framework. The explicit expressions of the eigenvalue and eigenfunction for such system are given, they have the same forms as those for the usual harmonic oscillator with constant mass. The coherent state and the its properties for the system with PDM are also discussed. We give the corresponding effective potentials for several mass functions, the systems with such potentials are isospectral to the usual harmonic oscillator.
An explanation for experimental observations of harmonic cyclotron emission induced by fast ions
Chen, K.R.; Horton, W.; Van Dam, J.W.
1993-09-01T23:59:59.000Z
An explanation, supported by numerical simulations and analytical theory, is given for the harmonic cyclotron emission induced by fast ions in tokamak plasmas - particular, for the emission observed at low harmonics in deuterium-deuterium md deuterium-tritium experiments in the Joint European Tokamak. We show that the first proton harmonic is one of the highest spectral peaks whereas the first alpha is weak. We also compare the relative spectral amplitudes of different harmonics. Our results axe consistent with the experimental observations. The simulations verify that the instabilities are caused by a weak relativistic mass effect. Simulation that a nonuniform magnetic field leads to no appreciable change in the growth and saturation amplitude of the waves.
Pearson, Jeremy T
2013-05-06T23:59:59.000Z
I propose and demonstrate a method by which barium titanate nanoparticle clusters can be used as exogenous contrast agents in Second Harmonic Optical Coherence Tomography imaging systems to localize and highlight desired regions of tissue. SH...
A continuous-wave second harmonic gyrotron oscillator at 460 GHz
Hornstein, Melissa K. (Melissa Kristen), 1977-
2005-01-01T23:59:59.000Z
We report the short pulse and CW operation of a 460 GHz gyrotron oscillator both at the fundamental (near 230 GHz) and second harmonic (near 460 GHz) of electron cyclotron resonance. During operation in a complete CW regime ...
Generation of octave-spanning multiple harmonics for ultrafast waveform synthesis
Hsu, Wei-Chun
Up to seven laser harmonics covering more than two octaves in frequency have been generated efficiently in a single PPLT crystal, permitting the synthesis of 1.5 femtosecond pulses in a stable and compact setting.
Heath, G.
2012-06-01T23:59:59.000Z
This powerpoint presentation to be presented at the World Renewable Energy Forum on May 14, 2012, in Denver, CO, discusses systematic review and harmonization of life cycle GHG emission estimates for electricity generation technologies.
High-Gain Harmonic Generation Free-Electron Laser at Saturation
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Gain Harmonic Generation Free-Electron Laser at Saturation T. Shaftan 1 , M. Babzien 1 , I. Ben-Zvi 1 , S. G. Biedron 2 , L. F. DiMauro 1 , A. Doyuran 1 , J.N. Galayda 2 , E....
Bulk viscosity-driven suppression of shear viscosity effects on the flow harmonics at RHIC
J. Noronha-Hostler; J. Noronha; F. Grassi
2014-06-19T23:59:59.000Z
The interplay between shear and bulk viscosities on the flow harmonics, $v_n$'s, at RHIC is investigated using the newly developed relativistic 2+1 hydrodynamical code v-USPhydro that includes bulk and shear viscosity effects both in the hydrodynamic evolution and also at freeze-out. While shear viscosity is known to attenuate the flow harmonics, we find that the inclusion of bulk viscosity decreases the shear viscosity-induced suppression of the flow harmonics bringing them closer to their values in ideal hydrodynamical calculations. Depending on the value of the bulk viscosity to entropy density ratio, $\\zeta/s$, in the quark-gluon plasma, the bulk viscosity-driven suppression of shear viscosity effects on the flow harmonics may require a re-evaluation of the previous estimates of the shear viscosity to entropy density ratio, $\\eta/s$, of the quark-gluon plasma previously extracted by comparing hydrodynamic calculations to heavy ion data.
Pitch perception and harmonic resolvability in normal-hearing and hearing-impaired listeners
Bernstein, Joshua G. W
2006-01-01T23:59:59.000Z
Listeners with sensorineural hearing loss are often impaired in their ability to perceive the pitch associated with the fundamental frequency (FO) of complex harmonic sounds. Four studies investigated the relationship ...
NUMERICAL ANALYSIS OF A FINITE ELEMENT SCHEME FOR THE APPROXIMATION OF HARMONIC MAPS INTO SURFACES
Bartels, Soeren
NUMERICAL ANALYSIS OF A FINITE ELEMENT SCHEME FOR THE APPROXIMATION OF HARMONIC MAPS INTO SURFACES Geometric partial differential equations and their analysis as well as numerical simulation have recently
Oscillator Seeding of a High Gain Harmonic Generation FEL in a Radiator-First Configuration
Gandhi, P.
2014-01-01T23:59:59.000Z
Proceedings of the 2010 FEL Conference, Malm¨o, Sweden,Proceedings of the 2010 FEL Conference, Malm¨o, Sweden,of a high gain harmonic generation FEL in a radiator-first
Williams, S.M. (Naval Postgraduate School, Monterey, CA (United States)); Brownfield, G.T. (Union Electric Co., St. Louis, MO (United States)); Duffus, J.W. (Univ. of Missouri, Columbia, MO (United States). Power Electronics Research Center)
1993-04-01T23:59:59.000Z
Power electronic loads are occupying an increasing fraction of the total load on distribution feeders. Coincidentally, there is a greater use of power factor correction capacitors on the distribution system. These two factors can present poor operating conditions in the form of high harmonic levels propagating through a distribution system. Electric utility engineers are facing an ever increasing number of situations which require the analysis of the propagation of harmonics on a distribution system. HARMFLO was developed by EPRI for use in the analysis of harmonics on a power system. However, for a typical analysis of a distribution system, data for some of the parameters required by HARMFLO are not available. Furthermore, exact load information is usually not available. Harmonic levels determined from field tests on a distribution system are compared to results of HARMFLO simulations to determine if this analysis tool can be expected to provide useful results despite the lack of exact information for load modeling and other system parameters.
Pearson, Jeremy T
2013-05-06T23:59:59.000Z
generating nanoparticle clusters exhibit high scattering properties, which can give them the advantage of backscattering a large quantity of second harmonic light while attenuating the forward scattered light. In this research project, a mathematical model...
Spectrally resolved spatiotemporal features of quantum paths in high-order harmonic generation
He, Lixin; Zhang, Qingbin; Zhai, Chunyang; Wang, Feng; Shi, Wenjing; Lu, Peixiang
2015-01-01T23:59:59.000Z
We experimentally disentangle the contributions of different quantum paths in high-order harmonic generation (HHG) from the spectrally and spatially resolved harmonic spectra. By adjusting the laser intensity and focusing position, we simultaneously observe the spectrum splitting, frequency shift and intensity-dependent modulation of harmonic yields both for the short and long paths. Based on the simulations, we discriminate the physical mechanisms of the intensity-dependent modulation of HHG due to the quantum path interference and macroscopic interference effects. Moreover, it is shown that the atomic dipole phases of different quantum paths are encoded in the frequency shift. In turn, it enables us to retrieve the atomic dipole phases and the temporal chirps of different quantum paths from the measured harmonic spectra. This result gives an informative mapping of spatiotemporal and spectral features of quantum paths in HHG.
Spectrum of the harmonic oscillator in a general noncommutative phase space
Mahouton Norbert Hounkonnou; Dine Ousmane Samary
2011-08-07T23:59:59.000Z
Harmonic oscillator, in 2-dimensional noncommutative phase space with non-vanishing momentum-momentum commutators, is studied using an algebraic approach. The corresponding eigenvalue problem is solved and discussed.
de Rooij, Michael Andrew (Clifton Park, NY); Steigerwald, Robert Louis (Burnt Hills, NY); Delgado, Eladio Clemente (Burnt Hills, NY)
2008-12-16T23:59:59.000Z
Photovoltaic power converter system including a controller configured to reduce load harmonics is provided. The system comprises a photovoltaic array and an inverter electrically coupled to the array to generate an output current for energizing a load connected to the inverter and to a mains grid supply voltage. The system further comprises a controller including a first circuit coupled to receive a load current to measure a harmonic current in the load current. The controller includes a second circuit to generate a fundamental reference drawn by the load. The controller further includes a third circuit for combining the measured harmonic current and the fundamental reference to generate a command output signal for generating the output current for energizing the load connected to the inverter. The photovoltaic system may be configured to compensate harmonic currents that may be drawn by the load.
Dallam Sherman Hansford Ochiltree Lipscomb Hartley Hutchinson Roberts Hemphill
Baylor Wilbarger Wichita Archer Kent Stonewall Haskell Throckmorton Young Stephens Clay Jack Montague Tom Green Concho Schleicher Val Verde Menard McCulloch Mason Llano San Saba Mills Lampasas Burnet West
City of Hartley, Iowa (Utility Company) | Open Energy Information
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page onYou are now leaving Energy.gov You are now leaving Energy.gov You are being directedAnnual Siteof EnergyInnovationin Urban Transport |CityCity ofCityCity of Harrisonburg,City ofCity
The Oldham Notebooks: an analysis of the development of IVF 1969-1978. IV. Ethical aspects
Johnson, Martin H.; Elder, Kay
2015-01-01T23:59:59.000Z
entitled ‘Fertilization of Human Eggs in Vitro: 90 Morals, Ethics and the Law’. In this paper, he admits that the MRC had at least a case, 91 saying (p.8): “An immediate issue with new clinical methods concerns the ethics of 92 human experimentation... side, and 567 unfortunately the embryo gravitated Into the cornua 568 Whilst understandably in the patients’ interests, this procedure did make some of 569 the nursing staff uncomfortable (NF, p.30-31). 570 Second, although no paper evidence has...
Casimir Friction Force and Energy Dissipation for Moving Harmonic Oscillators
Johan S. Høye; Iver Brevik
2010-09-15T23:59:59.000Z
The Casimir friction problem for a pair of dielectric particles in relative motion is analyzed, utilizing a microscopic model in which we start from statistical mechanics for harmonically oscillating particles at finite temperature moving nonrelativistically with constant velocity. The use of statistical mechanics in this context has in our opinion some definite advantages, in comparison with the more conventional quantum electrodynamic description of media that involves the use of a refractive index. The statistical-mechanical description is physical and direct, and the oscillator model, in spite of its simplicity, is nevertheless able to elucidate the essentials of the Casimir friction. As is known, there are diverging opinions about this kind of friction in the literature. Our treatment elaborates upon, and extends, an earlier theory presented by us back in 1992. There we found a finite friction force at any finite temperature, whereas at zero temperature the model led to a zero force. As an additional development in the present paper we evaluate the energy dissipation making use of an exponential cutoff truncating the relative motion of the oscillators. For the dissipation we also establish a general expression that is not limited to the simple oscillator model.
First Exit Times of Harmonically Trapped Particles: A Didactic Review
D. S. Grebenkov
2014-11-13T23:59:59.000Z
We revise the classical problem of characterizing first exit times of a harmonically trapped particle whose motion is described by one- or multi-dimensional Ornstein-Uhlenbeck process. We start by recalling the main derivation steps of a propagator using Langevin and Fokker-Planck equations. The mean exit time, the moment-generating function, and the survival probability are then expressed through confluent hypergeometric functions and thoroughly analyzed. We also present a rapidly converging series representation of confluent hypergeometric functions that is particularly well suited for numerical computation of eigenvalues and eigenfunctions of the governing Fokker-Planck operator. We discuss several applications of first exit times such as detection of time intervals during which motor proteins exert a constant force onto a tracer in optical tweezers single-particle tracking experiments; adhesion bond dissociation under mechanical stress; characterization of active periods of trend following and mean-reverting strategies in algorithmic trading on stock markets; relation to the distribution of first crossing times of a moving boundary by Brownian motion. Some extensions are described, including diffusion under quadratic double-well potential and anomalous diffusion.
Dynamically self-regular quantum harmonic black holes
Spallucci, Euro
2015-01-01T23:59:59.000Z
The recently proposed UV self-complete quantum gravity program is a new and very interesting way to envision Planckian/trans-Planckian physics. in this new framework, high energy scattering is dominated by the creation of micro black holes, and it is experimentally impossible to probe distances shorter than the horizon radius. In this letter we present a model which realizes this idea through the creation of self-regular quantum black holes admitting a minimal size extremal configuration. Their radius provides a dynamically generated minimal length acting as a universal short-distance cut-off. We propose a quantisation scheme for this new kind of microscopic objects based on a Bohr-like approach, which does not require a detailed knowledge of quantum gravity. The resulting black hole quantum picture resembles the energy spectrum of a quantum harmonic oscillator. The mass of the extremal configuration plays the role of zero-point energy. Large quantum number re-establish the classical black hole description. F...
High-harmonic XUV source for time- and angle-resolved photoemission spectroscopy
Dakovski, Georgi L [Los Alamos National Laboratory; Li, Yinwan [Los Alamos National Laboratory; Durakiewicz, Tomasz [Los Alamos National Laboratory; Rodriguez, George [Los Alamos National Laboratory
2009-01-01T23:59:59.000Z
We present a laser-based apparatus for visible pump/XUV probe time- and angle-resolved photoemission spectroscopy (TRARPES) utilizing high-harmonic generation from a noble gas. Femtosecond temporal resolution for each selected harmonic is achieved by using a time-delay-compensated monochromator (TCM). The source has been used to obtain photoemission spectra from insulators (UO{sub 2}) and ultrafast pump/probe processes in semiconductors (GaAs).
A solid-state, harmonic restraint, differential relay for transformer protection
Lowther, Gary Roger
1982-01-01T23:59:59.000Z
A SOLID-STATE, HARMONIC RESTRAINT, DIF ERENTIAL RELAY &Y)R TRANSFORMER PROTECTION A Thesis by GARY ROGER I OWTHER Submitted to the Graduate College of Texas ALM University in oartial ulfillment of the requirement for the degree of MASTER... of Department ) (~~Iember ) (1;ember ) (1 mber ) (Hember ) ABSTRACT A Solid-State, Harmonic Restraint, Differential Relay for Transformer Protection. (May 1982) Gary Roger Lowther, B. S. , College of Steubenville Chairman of Advisory Committee: Dr. B. Don...
Second harmonic generation from direct band gap quantum dots pumped by femtosecond laser pulses
Liu, Liwei, E-mail: liulw@cust.edu.cn; Wang, Yue; Hu, Siyi; Ren, Yu; Huang, Chen [School of Science, Changchun University of Science and Technology, Changchun, Jilin 130022, People's Republic of China and International Joint Research Center for Nanophotonics and Biophotonics, Changchun University of Science and Technology, Changchun, Jilin 130022 (China)
2014-02-21T23:59:59.000Z
We report on nonlinear optical experiments performed on Cu{sub 2}S quantum dots (QDs) pumped by femtosecond laser pulses. We conduct a theoretical simulation and experiments to determine their second harmonic generation characteristics. Furthermore, we demonstrate that the QDs have a second harmonic generation conversion efficiency of up to 76%. Our studies suggest that these Cu{sub 2}S QDs can be used for solar cells, bioimaging, biosensing, and electric detection.
Ole Steuernagel
2014-06-17T23:59:59.000Z
In quantum physics the free particle and the harmonically trapped particle are arguably the most important systems a physicist needs to know about. It is little known that, mathematically, they are one and the same. This knowledge helps us to understand either from the viewpoint of the other. Here we show that all general time-dependent solutions of the free-particle Schroedinger equation can be mapped to solutions of the Schroedinger equation for harmonic potentials, both the trapping oscillator and the inverted 'oscillator'. This map is fully invertible and therefore induces an isomorphism between both types of system, they are equivalent. A composition of the map and its inverse allows us to map from one harmonic oscillator to another with a different spring constant and different center position. The map is independent of the state of the system, consisting only of a coordinate transformation and multiplication by a form factor, and can be chosen such that the state is identical in both systems at one point in time. This transition point in time can be chosen freely, the wave function of the particle evolving in time in one system before the transition point can therefore be linked up smoothly with the wave function for the other system and its future evolution after the transition point. Such a cut-and-paste procedure allows us to describe the instantaneous changes of the environment a particle finds itself in. Transitions from free to trapped systems, between harmonic traps of different spring constants or center positions, or, from harmonic binding to repulsive harmonic potentials are straightforwardly modelled. This includes some time-dependent harmonic potentials. The mappings introduced here are computationally more efficient than either state-projection or harmonic oscillator propagator techniques conventionally employed when describing instantaneous (non-a 1,920 characters
Attachment of second harmonic-active moiety to molecules for detection of molecules at interfaces
Salafsky, Joshua S.; Eisenthal, Kenneth B.
2005-10-11T23:59:59.000Z
This invention provides methods of detecting molecules at an interface, which comprise labeling the molecules with a second harmonic-active moiety and detecting the labeled molecules at the interface using a surface selective technique. The invention also provides methods for detecting a molecule in a medium and for determining the orientation of a molecular species within a planar surface using a second harmonic-active moiety and a surface selective technique.
Harmonic mode competition in a terahertz gyrotron backward-wave oscillator
Kao, S. H.; Chiu, C. C.; Chang, P. C.; Wu, K. L.; Chu, K. R. [Department of Physics, National Taiwan University, Taipei 106, Taiwan (China)
2012-10-15T23:59:59.000Z
Electron cyclotron maser interactions at terahertz (THz) frequencies require a high-order-mode structure to reduce the wall loss to a tolerable level. To generate THz radiation, it is also essential to employ cyclotron harmonic resonances to reduce the required magnetic field strength to a value within the capability of the superconducting magnets. However, much weaker harmonic interactions in a high-order-mode structure lead to serious mode competition problems. The current paper addresses harmonic mode competition in the gyrotron backward wave oscillator (gyro-BWO). We begin with a comparative study of the mode formation and oscillation thresholds in the gyro-BWO and gyromonotron. Differences in linear features result in far fewer 'windows' for harmonic operation of the gyro-BWO. Nonlinear consequences of these differences are examined in particle simulations of the multimode competition processes in the gyro-BWO, which shed light on the competition criteria between modes of different as well as the same cyclotron harmonic numbers. The viability of a harmonic gyro-BWO is assessed on the basis of the results obtained.
Electron cyclotron harmonic resonances in high-frequency heating of the ionosphere
Kuo, Spencer P. [Polytechnic Institute of New York University, 6 MetroTech Center, Brooklyn, New York 11201 (United States)] [Polytechnic Institute of New York University, 6 MetroTech Center, Brooklyn, New York 11201 (United States)
2013-09-15T23:59:59.000Z
Electron acceleration by upper hybrid waves under cyclotron harmonic resonance interaction is studied. Theory is formulated; the analytical solutions in the second and fourth harmonic cyclotron resonance cases are obtained, and in the third harmonic case, a first order differential equation governing the evolution of the electron energy is derived. The theory is applied for explaining the generation of artificial ionization layers observed in high-frequency (HF) ionospheric heating experiments. The upper hybrid waves are assumed to be excited parametrically by the O-mode HF heating wave. As the decay mode is the lower hybrid wave, the excited upper hybrid waves have wavelengths ranging from 0.25 to 0.5 m, which are short enough to effectively incorporate the finite Larmour radius effect for the harmonic cyclotron resonance interactions as well as have a frequency bandwidth of about 20 kHz, which provides an altitude region of about 10 km for continuous harmonic cyclotron resonance interaction between electrons and descending waves in the slightly inhomogeneous geomagnetic field. The numerical results on electron acceleration show that electron fluxes with energies larger than 14 eV are generated in the three harmonic cases. These energetic electrons cause impact ionizations, which are descending to form artificial ionization layers at the bottom of the ionospheric F region.
The information content of gravitational wave harmonics in compact binary inspiral
Ronald W. Hellings; Thomas A. Moore
2002-07-25T23:59:59.000Z
The nonlinear aspect of gravitational wave generation that produces power at harmonics of the orbital frequency, above the fundamental quadrupole frequency, is examined to see what information about the source is contained in these higher harmonics. We use an order (4/2) post-Newtonian expansion of the gravitational wave waveform of a binary system to model the signal seen in a spaceborne gravitational wave detector such as the proposed LISA detector. Covariance studies are then performed to determine the ultimate accuracy to be expected when the parameters of the source are fit to the received signal. We find three areas where the higher harmonics contribute crucial information that breaks degeneracies in the model and allows otherwise badly-correlated parameters to be separated and determined. First, we find that the position of a coalescing massive black hole binary in an ecliptic plane detector, such as OMEGA, is well-determined with the help of these harmonics. Second, we find that the individual masses of the stars in a chirping neutron star binary can be separated because of the mass dependence of the harmonic contributions to the wave. Finally, we note that supermassive black hole binaries, whose frequencies are too low to be seen in the detector sensitivity window for long, may still have their masses, distances, and positions determined since the information content of the higher harmonics compensates for the information lost when the orbit-induced modulation of the signal does not last long enough to be apparent in the data.
Low efficiency gratings for 3rd harmonic diagnostics applications
Britten, J.A.; Boyd, R.D.; Perry, M.D.; Shore, B.W.; Thomas, I.M.
1995-08-09T23:59:59.000Z
The baseline design of the National Ignition Facility (NIF) calls for sampling gratings to provide third-harmonic energy diagnostics in the highly constrained area of the target chamber. These 40 {times} 4O cm transmission gratings are to diffract at (order +1) nominally 0.3% of the incident 351 run light at a small angle on to a focusing mirror and into a calorimeter. The design calls for a plane grating of 500 lines/mm, and approximately 30 run deep, etched into a fused silica focusing lens and subsequently overcoated with a solgel anti reflective coating. Gratings of similar aperture and feature size have been produced for other applications by ion etching processes, but, in an effort to reduce substantially the cost of such optics, we are studying the feasibility of making these gratings by wet chemical etching techniques. Experimentation with high-quality fused silica substrates on 5 and 15 cm. scale has led to a wet etching process which can meet the design goals and which offers no significant scaleup barriers to full sized optics. The grating is produced by holographic exposure and a series of processing steps using only a photoresist mask and a final hydrofluoric acid etch. Gratings on 15 cm diameter test substrates exhibit absolute diffraction efficiencies from 0.2--0.4% with a standard deviation of about 15% of the mean over the full aperture. The efficiency variation is due to variation in linewidth caused by spatial nonuniformities in exposure energy. Uniformity improvements can be realized by using a smaller, more uniform portion of the exposure beam and exposing for longer times. The laser damage threshold for these gratings has been measured at LLNL and found to be identical to that of the fused silica substrate.
Models of soft rotators and the theory of a harmonic rotator
Zahid Zakir
2012-12-12T23:59:59.000Z
The states of a planar oscillator are separated to a vibrational mode, containing a zero-point energy, and a rotational mode without the zero-point energy, but having a conserved angular momentum. On the basis of the analysis of properties of models of rigid and semirigid rotators, the theory of soft rotators is formulated where the harmonic attractive force is balanced only by the centrifugal force. As examples a Coulomb rotator (the Bohr model) and a magneto-harmonic rotator (the Fock-Landau levels) are considered. Disappearance of the radial speed in the model of a magneto-harmonic rotator is taken as a defining property of a pure rotational motion in the harmonic potential. After the exception of energies of the magnetic and spin decompositions, specific to magnetic fields, one turns to a simple and general model of a planar harmonic rotator (circular oscillator without radial speed) where kinetic energy is reduced to the purely rotational energy. Energy levels of the harmonic rotator have the same frequency and are twice degenerate, the energy spectrum is equidistant. In the ground state there is no zero-point energy from rotational modes, and the zero-point energy of vibrational modes can be compensated by spin effects or symmetries of the system. In this case the operators of observables vanish the ground state, i.e. are "strongly" normally ordered. In a chain of harmonic rotators collective rotations around a common axis lead to transverse waves, at quantization of which there appear quasi-particles and holes carrying an angular momentum. In the chain SU(2) appears as a group of symmetry of a rotator.
Jha, Pallavi; Agrawal, Ekta [Department of Physics, University of Lucknow, Lucknow-226007 (India)
2014-05-15T23:59:59.000Z
An analytical study of second harmonic generation due to interaction an intense, p-polarized laser beam propagating obliquely in homogeneous underdense plasma, in the mildly relativistic regime, has been presented. The efficiency of the second harmonic radiation as well as its detuning length has been obtained and their variation with the angle of incidence is analyzed. It is shown that, for a given plasma electron density, the second harmonic efficiency increases with the angle of incidence while the detuning length decreases. The second harmonic amplitude vanishes at normal incidence of the laser beam.
Scaling of the generation of high-order harmonics in large gas media with focal length
Boutu, W.; Auguste, T.; Caumes, J. P.; Carre, B. [Service des Photons, Atomes et Molecules, CEA-Saclay, F-91191 Gif-sur-Yvette Cedex (France); Merdji, H. [Service des Photons, Atomes et Molecules, CEA-Saclay, F-91191 Gif-sur-Yvette Cedex (France); PULSE Institute for Ultrafast Energy Science, Stanford Linear Accelerator Center, Stanford University, 2575 Sand Hill Road, Menlo Park, California 94025 (United States)
2011-11-15T23:59:59.000Z
We present theoretical and experimental results on high-order harmonic generation in a low-density few-centimeter-long gas medium (L{sub med}{<=} 10 cm). We study the dependence with focal length of harmonic efficiency. Theoretically, we consider in detail the generation of the 25th harmonic of a short pulse Ti:sapphire laser in argon. Within the strong-field approximation for the atomic dipole, and a complete account of the macroscopic propagation, we compute the number of photons produced as a function of the medium parameters and the focusing conditions. The simulations show that, at constant intensity, the emission of the 25th harmonic scales with the focal length as {approx}f{sup 4} at low pressure (P=2 Torr) and as {approx}f{sup 6} at higher pressure (P=5 Torr). At constant laser energy, we find that the harmonic signal scales approximately as f{sup 2} at low pressure and as f{sup 4} at higher pressure. Those numerical results are compared with experimental data.
Low-order-mode harmonic multiplying gyrotron traveling-wave amplifier in W band
Yeh, Y. S.; Chen, C. H.; Yang, S. J.; Lai, C. H.; Lin, T. Y.; Lo, Y. C.; Hong, J. W. [Department of Electro-Optical Engineering, Southern Taiwan University, Tainan, Taiwan (China); Hung, C. L. [Department of Communication Engineering, National Penghu University of Science and Technology, Penghu, Taiwan (China); Chang, T. H. [Department of Physics, National Tsing Hua University, Hsinchu, Taiwan (China)
2012-09-15T23:59:59.000Z
Harmonic multiplying gyrotron traveling-wave amplifiers (gyro-TWAs) allow for magnetic field reduction and frequency multiplication. To avoid absolute instabilities, this work proposes a W-band harmonic multiplying gyro-TWA operating at low-order modes. By amplifying a fundamental harmonic TE{sub 11} drive wave, the second harmonic component of the beam current initiates a TE{sub 21} wave to be amplified. Absolute instabilities in the gyro-TWA are suppressed by shortening the interaction circuit and increasing wall losses. Simulation results reveal that compared with Ka-band gyro-TWTs, the lower wall losses effectively suppress absolute instabilities in the W-band gyro-TWA. However, a global reflective oscillation occurs as the wall losses decrease. Increasing the length or resistivity of the lossy section can reduce the feedback of the oscillation to stabilize the amplifier. The W-band harmonic multiplying gyro-TWA is predicted to yield a peak output power of 111 kW at 98 GHz with an efficiency of 25%, a saturated gain of 26 dB, and a bandwidth of 1.6 GHz for a 60 kV, 7.5 A electron beam with an axial velocity spread of 8%.
Kato, Kosaku; Minemoto, Shinichirou; Sakai, Hirofumi [Department of Physics, Graduate School of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033 (Japan)
2011-08-15T23:59:59.000Z
High-order-harmonic generation from aligned N{sub 2}, O{sub 2}, and CO{sub 2} molecules is investigated by 1300-nm and 800-nm pulses. The harmonic intensities of 1300-nm pulses from aligned molecules show harmonic photon energy dependence similar to those of 800-nm pulses. Suppression of harmonic intensity from aligned CO{sub 2} molecules is observed for both 1300- and 800-nm pulses over the same harmonic photon energy range. As the dominant mechanism for the harmonic intensity suppression from aligned CO{sub 2} molecules, the present results support the two-center interference picture rather than the dynamical interference picture.
Zhang, Hao Chi; Guo, Jian; Fu, Xiaojian; Li, Lianming; Qian, Cheng; Cui, Tie Jun
2015-01-01T23:59:59.000Z
The second harmonic generation is one of the most important applications of nonlinear effect, which has attracted great interests in nonlinear optics and microwave in the past decades. To the best of our knowledge, however, generating the second harmonics of surface plasmon polaritons (SPPs) has not been reported. Here, we propose to generate the second harmonics of spoof SPPs with high efficiency at microwave frequencies using subwavelength-scale nonlinear active device integrated on specially designed plasmonic waveguides, which are composed of two ultrathin corrugated metallic strips printed on the top and bottom surfaces of a thin dielectric slab anti-symmetrically. We show that the plasmonic waveguide supports broadband propagations of spoof SPPs with strong subwavelength effect, whose dispersion property can be controlled by changing the geometrical parameters. By loading the nonlinear device made from semiconductors to the intersection of two plasmonic waveguides with different corrugation depths, we e...
Role of ellipticity in high-order harmonic generation by homonuclear diatomic molecules
Odzak, S. [Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo (Bosnia and Herzegowina); Milosevic, D. B. [Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo (Bosnia and Herzegowina); Max-Born-Institut, Max-Born-Strasse 2a, D-12489 Berlin (Germany)
2010-08-15T23:59:59.000Z
We present a theory of high-order harmonic generation by diatomic molecules exposed to an elliptically polarized laser field. This theory is based on the molecular strong-field approximation with the laser-field-dressed initial bound state and the undressed final state. The interference minima, observed for linear polarization, are blurred with the increase of the laser-field ellipticity. The nth harmonic emission rate has contributions of the components of the T-matrix element in the direction of the laser-field polarization and in the direction perpendicular to it. We analyze the destructive interference condition for this perpendicular component. Taking into account that the aligned molecules are an anisotropic medium for high-harmonic generation, we introduce elliptic dichroism as a measure of this anisotropy and discuss possibilities of its use for determining the molecular structure.
Guo, Y.; Keller, J.; Parker, R. G.
2012-06-01T23:59:59.000Z
The dynamics of wind turbine planetary gears with gravity effects are investigated using an extended harmonic balance method that extends established harmonic balance formulations to include simultaneous internal and external excitations. The extended harmonic balance method with arc-length continuation and Floquet theory is applied to a lumped-parameter planetary gear model including gravity, fluctuating mesh stiffness, bearing clearance, and nonlinear tooth contact to obtain the planetary gear dynamic response. The calculated responses compare well with time domain integrated mathematical models and experimental results. Gravity is a fundamental vibration source in wind turbine planetary gears and plays an important role in system dynamics, causing hardening effects induced by tooth wedging and bearing-raceway contacts. Bearing clearance significantly reduces the lowest resonant frequencies of translational modes. Gravity and bearing clearance together lowers the speed at which tooth wedging occurs lower than the resonant frequency.
Improved quantum correlations in second harmonic generation with a squeezed pump
E. MArcellina; J. F. Corney; M. K. Olsen
2013-02-11T23:59:59.000Z
We investigate the effects of a squeezed pump on the quantum properties and conversion efficiency of the light produced in single-pass second harmonic generation. Using stochastic integration of the two-mode equations of motion in the positive-P representation, we find that larger violations of continuous-variable harmonic entanglement criteria are available for lesser effective interaction strengths than with a coherent pump. This enhancement of the quantum properties also applies to violations of the Reid-Drummond inequalities used to demonstrate a harmonic version of the Einstein-Podolsky-Rosen paradox. We find that the conversion efficiency is largely unchanged except for very low pump intensities and high levels of squeezing.
Nonadiabatic molecular high-order harmonic generation from polar molecules: Spectral redshift
Bian Xuebin; Bandrauk, Andre D. [Departement de Chimie, Universite de Sherbrooke, Sherbrooke, Quebec, J1K 2R1 (Canada)
2011-04-15T23:59:59.000Z
Molecular high-order harmonic generation (MHOHG) from the polar diatomic molecule HeH{sup 2+} in short intense laser fields is studied numerically. Due to the nonadiabatic response of the molecular dipole to the rapid change of laser intensity, a spectral redshift is predicted in high-intensity and ultrashort laser pulses, contrary to the blueshift observed in the harmonics generated from atoms in long laser pulses. The MHOHG temporal structures are investigated by a wavelet time-frequency analysis, which shows that the enhanced excitation of localized long lifetime excited states shifts the harmonic generation spectrum in the falling part of short laser pulses, due to the presence of a permanent dipole moment, and thus is unique to polar molecules.
Zhu, Hong-Ming; Chen, Jin-Wang; Pan, Xiao-Yin, E-mail: panxiaoyin@nbu.edu.cn [Department of Physics, Ningbo University, Ningbo 315211 (China)] [Department of Physics, Ningbo University, Ningbo 315211 (China); Sahni, Viraht [Department of Physics, Brooklyn College and The Graduate School of the City University of New York, New York, New York 10016 (United States)] [Department of Physics, Brooklyn College and The Graduate School of the City University of New York, New York, New York 10016 (United States)
2014-01-14T23:59:59.000Z
We derive via the interaction “representation” the many-body wave function for harmonically confined electrons in the presence of a magnetostatic field and perturbed by a spatially homogeneous time-dependent electric field—the Generalized Kohn Theorem (GKT) wave function. In the absence of the harmonic confinement – the uniform electron gas – the GKT wave function reduces to the Kohn Theorem wave function. Without the magnetostatic field, the GKT wave function is the Harmonic Potential Theorem wave function. We further prove the validity of the connection between the GKT wave function derived and the system in an accelerated frame of reference. Finally, we provide examples of the application of the GKT wave function.
Hadronization Scheme Dependence of Long-Range Azimuthal Harmonics in High Energy p+A Reactions
Esposito, Angelo
2015-01-01T23:59:59.000Z
We compare the distortion effects of three popular final state hadronization schemes that modify the initial-state gluon azimuthal harmonic correlations in high energy p+A collisions. The three models considered are (1) LPH: local parton-hadron duality, (2) CPR: collinear parton-hadron resonance independent fragmenation, and (3) LUND: color string hadronization. Strong initial-state multi-gluon azimuthal correlations are generated using the non-abelian beam jet bremsstrahlung GLVB model, assuming a saturation scale Qsat = 2 GeV. Long-range final hadron pair elliptic and triangular harmonics are compared based on the three hadronization schemes. Our analysis shows that the hadron level harmonics are strongly hadronization scheme dependent in the low pT < 3 GeV domain.
Generation of high order optical harmonics in steep plasma density gradients
Linde, D. von der [Institut fuer Laser- und Plasmaphysik, Universitaet Essen, D-45117 Essen (Germany)
1998-02-20T23:59:59.000Z
During the interaction of an intense ultrashort laser pulse with solid targets a thin layer of surface plasma is generated in which the density drops to the vacuum level in a distance much shorter than the wavelength. This sharp plasma-vacuum boundary performs an oscillatory motion in response to the electromagnetic forces of the intense laser light. It is shown that the generation of reflected harmonics can be interpreted as a phase modulation experienced by the light upon reflection from the oscillating boundary. The modulation sidebands of the reflected frequency spectrum correspond to odd and even harmonics of the laser frequency. Retardation effects lead to a strong anharmonicity for high velocities of the plasma-vacuum boundary. As a result, harmonic generation is strongly enhanced in the relativistic regime of laser intensities.
Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
Anirban Saha; Sunandan Gangopadhyay; Swarup Saha
2011-06-09T23:59:59.000Z
We consider the quantum dynamics of a harmonic oscillator in noncommutative space under the influence of linearized gravitational waves (GW) in the long wave-length and low-velocity limit. Following the prescription in \\cite{ncgw1} we quantize the system. The Hamiltonian of the system is solved by using standard algebraic iterative methods. The solution shows signatures of the coordinate noncommutativity via alterations in the oscillation frequency of the harmonic oscillator system from its commutative counterpart. Moreover, it is found that the response of the harmonic oscillator to periodic GW, when their frequencies match, will oscillate with a time scale imposed by the NC parameter. We expect this noncommutative signature to show up as some noise source in the GW detection experiments since the recent phenomenological upper-bounds set on spatial noncommutative parameter implies a length-scale comparable to the length-variations due to the passage of gravitational waves, detectable in the present day GW detectors.
Theory of high harmonic generation in relativistic laser interaction with overdense plasma
T. Baeva; S. Gordienko; A. Pukhov
2006-04-28T23:59:59.000Z
High harmonic generation due to the interaction of a short ultra relativistic laser pulse with overdense plasma is studied analytically and numerically. On the basis of the ultra relativistic similarity theory we show that the high harmonic spectrum is universal, i.e. it does not depend on the interaction details. The spectrum includes the power law part $I_n\\propto n^{-8/3}$ for $nharmonic cutoff at $\\propto \\gamma_{\\max}^3$ is parametrically larger than the $4 \\gamma_{\\max}^2$ predicted by the ``oscillating mirror'' model based on the Doppler effect. The cornerstone of our theory is the new physical phenomenon: spikes in the relativistic $\\gamma$-factor of the plasma surface. These spikes define the high harmonic spectrum and lead to attosecond pulses in the reflected radiation.
Harmonic mixing in two coupled qubits: quantum synchronization via ac drives
S. E. Savel'ev; Z. Washington; A. M. Zagoskin; M. J. Everitt
2012-10-12T23:59:59.000Z
Simulating a system of two driven coupled qubits, we show that the time-averaged probability to find one driven qubit in its ground or excited state can be controlled by an ac drive in the second qubit. Moreover, off-diagonal elements of the density matrix responsible for quantum coherence can also be controlled via driving the second qubit, i.e., quantum coherence can be enhanced by appropriate choice of the bi-harmonic signal. Such a dynamic synchronization of two differently driven qubits has an analogy with harmonic mixing of Brownian particles forced by two signals through a substrate. Nevertheless, the quantum synchronization in two qubits occurs due to multiplicative coupling of signals in the qubits rather than via a nonlinear harmonic mixing for a classical nano-particle.
Nonlinear absorption and harmonic generation of laser in a gas with anharmonic clusters
Kumar, Manoj; Tripathi, V. K. [Department of Physics, Indian Institute of Technology Delhi, New Delhi 110016 (India)
2013-02-15T23:59:59.000Z
The nonlinear absorption and harmonic generation of intense short pulse laser in a gas embedded with anharmonic clusters are investigated theoretically. When the laser induced excursion of cluster electrons becomes comparable to cluster radius, the restoration force on electrons no longer remains linearly proportional to the excursion. As a consequence, the plasmon resonance is broadened, leading to broadband laser absorption. It also leads to second and third harmonic generations, at much higher level than the one due to ponderomotive nonlinearity. The harmonic yield is resonantly enhanced at the plasmon resonance {omega}={omega}{sub pe}/{radical}(3), where {omega} is the frequency of the laser and {omega}{sub pe} is the plasma frequency of cluster electrons.
Cho, Suwon, E-mail: swcho@kgu.ac.kr [Department of Physics, Kyonggi University, Suwon, Kyonggi-Do 443-760 (Korea, Republic of)] [Department of Physics, Kyonggi University, Suwon, Kyonggi-Do 443-760 (Korea, Republic of); Kwak, Jong-Gu [National Fusion Research Institute, Daejeon 305-806 (Korea, Republic of)] [National Fusion Research Institute, Daejeon 305-806 (Korea, Republic of)
2014-04-15T23:59:59.000Z
The propagation and absorption of high harmonic fast waves is of interest for non-inductive current drives in fusion experiments. The fast wave can be coupled with the ion Bernstein wave that propagates in the high magnetic field side of an ion cyclotron harmonic resonance layer. This coupling and the absorption are analyzed using the hot plasma dispersion relation and a wave equation that was converted from an approximate dispersion relation for the case where ?{sub i}=k{sub ?}{sup 2}?{sub i}{sup 2}/2?1 (where k{sub ?} is the perpendicular wave number and ?{sub i} is the ion Larmor radius). It is found that both reflection and conversion may occur near the harmonic resonance layer but that they decrease rapidly, giving rise to a sharp increase in the absorption as the parallel wave number increases.
D. Martinez; J. C. Flores-Urbina; R. D. Mota; V. D. Granados
2010-05-21T23:59:59.000Z
We apply the Schr\\"odinger factorization to construct the ladder operators for hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator in arbitrary dimensions. By generalizing these operators we show that the dynamical algebra for these problems is the $su(1,1)$ Lie algebra.
Huge enhancement of backward second-harmonic generation with slow light in photonic crystals
Iliew, Rumen [Nonlinear Physics Center, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200 (Australia); Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, 07743 Jena (Germany); Etrich, Christoph; Pertsch, Thomas [Institute of Applied Physics/Ultra Optics, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, 07743 Jena (Germany); Lederer, Falk [Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, 07743 Jena (Germany); Kivshar, Yuri S. [Nonlinear Physics Center, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200 (Australia)
2010-02-15T23:59:59.000Z
We study theoretically forward and backward second-harmonic generation in a two-dimensional photonic crystal structure made of lithium niobate. The aim of this article is twofold: First, we propose a reliable modal algorithm for describing the light propagation taking into account the vectorial character of the interacting fields as well as the tensorial character of the nonlinearity and verify it by means of the nonlinear finite-difference time-domain method. Second, we propose a photonic crystal where we obtain a giant efficiency increase for backward second-harmonic generation with slow light.
Kim, Young-Do; Kim, Yu-Sin; Lee, Hyo-Chang; Bang, Jin-Young; Chung, Chin-Wook [Department of Electrical Engineering, Hanyang University, 17 Heangdang-dong, Seongdong-gu, Seoul 133-791 (Korea, Republic of)
2011-03-15T23:59:59.000Z
The characteristics of probe currents induced by applying various probe voltage waveforms, such as sinusoidal, sawtooth, square, and triangular, were investigated at a floating potential. It was found that the measured probe currents have many harmonics depending on the voltage waveforms. This was mainly due to the nonlinearity of the sheath in the plasma and was analyzed using the fast Fourier transform and a circuit model. By applying a triangular voltage waveform to a probe, plasma parameters such as electron temperature and plasma density could be obtained and compared to those of a single Langmuir probe and a floating harmonic method.
Heath, G.; O'Donoughue, P.; Whitaker, M.
2012-12-01T23:59:59.000Z
This research provides a systematic review and harmonization of the life cycle assessment (LCA) literature of electricity generated from conventionally produced natural gas. We focus on estimates of greenhouse gases (GHGs) emitted in the life cycle of electricity generation from conventionally produced natural gas in combustion turbines (NGCT) and combined-cycle (NGCC) systems. A process we term "harmonization" was employed to align several common system performance parameters and assumptions to better allow for cross-study comparisons, with the goal of clarifying central tendency and reducing variability in estimates of life cycle GHG emissions. This presentation summarizes preliminary results.
Chaudhuri, A K
2012-01-01T23:59:59.000Z
In nucleon-nucleon collisions, charged particle's multiplicity fluctuates. We have studied the effect of multiplicity fluctuation on flow harmonics in nucleus-nucleus collision in event-by-event hydrodynamics. Assuming that the charged particle's multiplicity fluctuations are governed by the negative binomial distribution, the Monte-Carlo Glauber model of initial condition is generalised to include the fluctuations. Explicit simulations with the generalised Monte-Carlo Glauber model initial conditions indicate that the multiplicity fluctuations do not have large effect on the flow harmonics.
A. K. Chaudhuri
2013-03-19T23:59:59.000Z
In nucleon-nucleon collisions, charged particle's multiplicity fluctuates. We have studied the effect of multiplicity fluctuation on flow harmonics in nucleus-nucleus collision in event-by-event hydrodynamics. Assuming that the charged particle's multiplicity fluctuations are governed by the negative binomial distribution, the Monte-Carlo Glauber model of initial condition is generalised to include the fluctuations. Explicit simulations with the generalised Monte-Carlo Glauber model initial conditions indicate that the multiplicity fluctuations do not have large effect on the flow harmonics.
The harmonic impact of electric vehicle battery chargers on residential power distribution
Wang, Y.; O`Connell, R.M. [Univ. of Missouri, Columbia, MO (United States). Dept. of Electrical Engineering; Brownfield, G. [Ameren Services, St. Louis, MO (United States)
1999-11-01T23:59:59.000Z
Electric vehicles (EV), which are powered by battery-driven electric motors, are becoming an ecologically attractive alternative to gasoline driven vehicles. One drawback to them is that the associated battery chargers are power electronic circuits which, because of their non-linear nature, can produce deleterious harmonic effects on the electric utility distribution system. To investigate the harmonic effects of widespread use of EV battery chargers, three different commercially available EV battery chargers are modeled using the injection current method to represent their current waveforms for simulation in a SPICE model of a particular distribution system.
Second harmonic generation in photonic crystal cavities in (111)-oriented GaAs
Buckley, Sonia, E-mail: bucklesm@stanford.edu; Radulaski, Marina; Vu?kovi?, Jelena [E. L. Ginzton Laboratory, Stanford University, Stanford, California 94305 (United States)] [E. L. Ginzton Laboratory, Stanford University, Stanford, California 94305 (United States); Biermann, Klaus [Paul-Drude-Institut für Festkörperelektronik, Hausvogteiplatz 5-7, D-10117 Berlin (Germany)] [Paul-Drude-Institut für Festkörperelektronik, Hausvogteiplatz 5-7, D-10117 Berlin (Germany)
2013-11-18T23:59:59.000Z
We demonstrate second harmonic generation at telecommunications wavelengths in photonic crystal cavities in (111)-oriented GaAs. We fabricate 30 photonic crystal structures in both (111)- and (100)-oriented GaAs and observe an increase in generated second harmonic power in the (111) orientation, with the mean power increased by a factor of 3, although there is a large scatter in the measured values. We discuss possible reasons for this increase, in particular, the reduced two photon absorption for transverse electric modes in (111) orientation, as well as a potential increase due to improved mode overlap.
Advanced properties of extended plasmas for efficient high-order harmonic generation
Ganeev, R. A. [Ophthalmology and Advanced Laser Medical Center, Saitama Medical University, Saitama 350-0495 (Japan) [Ophthalmology and Advanced Laser Medical Center, Saitama Medical University, Saitama 350-0495 (Japan); Physics Department, Voronezh State University, Voronezh 394006 (Russian Federation); Suzuki, M.; Kuroda, H. [Ophthalmology and Advanced Laser Medical Center, Saitama Medical University, Saitama 350-0495 (Japan)] [Ophthalmology and Advanced Laser Medical Center, Saitama Medical University, Saitama 350-0495 (Japan)
2014-05-15T23:59:59.000Z
We demonstrate the advanced properties of extended plasma plumes (5?mm) for efficient harmonic generation of laser radiation compared with the short lengths of plasmas (?0.3–0.5?mm) used in previous studies. The harmonic conversion efficiency quadratically increased with the growth of plasma length. The studies of this process along the whole extreme ultraviolet range using the long plasma jets produced on various metal surfaces, particularly including the resonance-enhanced laser frequency conversion and two-color pump, are presented. Such plasmas could be used for the quasi-phase matching experiments by proper modulation of the spatial characteristics of extended ablating area and formation of separated plasma jets.
Internal Decoherence of a Gaussian Wave Packet in a Harmonic Potential
A. Cidrim; F. E. A. dos Santos; A. O. Caldeira
2014-07-16T23:59:59.000Z
We have studied the quantum dissipative problem of a Gaussian wave packet under the influence of a harmonic potential. A phenomenological approach to dissipation is adopted in the light of the well-known model in which the environment is composed of a bath of non-interacting harmonic oscillators. As one of the effects of the coupling to the bath is the evolution of an initially pure wave packet into a statistical mixture, we estimate the characteristic time elapsed for this to occur for different regimes of temperature, damping, and also different initial states.
Theoretical study of the dual harmonic system and its application on the CSNS/RCS
Yuan, Yao-Shuo; Xu, Shou-Yan; Yuan, Yue; Wang, Sheng
2015-01-01T23:59:59.000Z
The dual harmonic system has been widely used in high intensity proton synchrotrons to suppress the space charge effect, as well as reduce the beam loss. To investigate the longitudinal beam dynamics in the dual rf system, the potential well, the sub-buckets in the bunch and the multi-solutions of the phase equation have been studied theoretically. Based on these theoretical studis, the optimization of bunching factor and rf voltage waveform are made for the dual harmonic rf system in the upgrade phase of the CSNS/RCS. In the optimization process, the simulation with space charge effect is done by using a newly developed code C-SCSIM.
The harmonic oscillator with dissipation within the theory of open quantum systems
A. Isar
2005-08-18T23:59:59.000Z
Time evolution of the expectation values of various dynamical operators of the harmonic oscillator with dissipation is analitically obtained within the framework of the Lindblad theory for open quantum systems. We deduce the density matrix of the damped harmonic oscillator from the solution of the Fokker-Planck equation for the coherent state representation, obtained from the master equation for the density operator. The Fokker-Planck equation for the Wigner distribution function, subject to either the Gaussian type or the $\\delta$-function type of initial conditions, is also solved by using the Wang-Uhlenbeck method. The obtained Wigner functions are two-dimensional Gaussians with different widths.
Position-dependent noncommutative quantum models: Exact solution of the harmonic oscillator
Dine Ousmane Samary
2014-05-31T23:59:59.000Z
This paper is devoted to find the exact solution of the harmonic oscillator in a position-dependent 4-dimensional noncommutative phase space. The noncommutative phase space that we consider is described by the commutation relations between coordinates and momenta: $[\\hat{x}^1,\\hat{x}^2]=i\\theta(1+\\omega_2 \\hat x^2)$, $[\\hat{p}^1,\\hat{p}^2]=i\\bar\\theta$, $[\\hat{x}^i,\\hat{p}^j]=i\\hbar_{eff}\\delta^{ij}$. We give an analytical method to solve the eigenvalue problem of the harmonic oscillator within this deformation algebra.
Generation of 9 MeV -rays by all-laser-driven Compton scattering with second-harmonic laser light
Umstadter, Donald
Generation of 9 MeV -rays by all-laser-driven Compton scattering with second-harmonic laser light-harmonic-generated laser light (3 eV) inverse-Compton-scattered from a counterpropagating relativistic (450 MeV) laser in detection. Narrower band- width -rays are generated efficiently by means of inverse Compton scattering (ICS
Chem. Rev. 1994, 94, 107-125 107 Optical Second Harmonic Generation as a Probe of Surface Chemistry
Chem. Rev. 1994, 94, 107-125 107 Optical Second Harmonic Generation as a Probe of Surface Chemistry 109 IV. SHG Measurements of Surface Chemistry 109 VI. Acknowledgments 122 V II.References 122 V. Other Surface SHG Experiments and Future 122 Directions I. Introduction Optical second harmonic generation (SHG
Bak, Claus Leth
Abstract--This paper presents the harmonic analysis of offshore wind farm (OWF) models with full will be discussed based on measurements from offshore wind farm. Index Terms--full-rating converters, harmonic analysis, offshore wind farm, wind turbine, validation with measurements I. INTRODUCTION HE tendency
Itoh, Tatsuo
Output Harmonic Termination Techniques for AlGaN/GaN HEMT Power Amplifiers Using Active Integrated 1200, Los Angeles, CA 90045 Abstract -- In this paper, effects of output harmonic terminations on PAE termination, we observe a substantial increase in PAE and output power. Further, we demonstrate the high
Paris-Sud XI, Université de
/Simulink simulations. Key words: power system harmonics, power electronic, linear time periodic modeling, PWM, control1 POWER ELECTRONICS HARMONIC ANALYSIS BASED ON THE LINEAR TIME PERIODIC MODELING. APPLICATIONS in power electronic systems. The considered system is described by a set of differential equations, which
Reid, Matthew
time due to a growing number of applications such as imaging,13 illicit-drug detection,4Terahertz radiation and second-harmonic generation from InAs: Bulk versus surface electric July 2005 Polarized second-harmonic generation and terahertz radiation in reflection from 100 , 110
Dickmander, D.L.; Peterson, K.J.
1989-04-01T23:59:59.000Z
The harmonic analysis of the dc-side of an HVDC line transmission requires realistic models of the converters, the dc line, and other relevant equipment. These models must include all important paths for harmonic current, and appropriate sources of harmonic voltage generation. The classical converter modeling technique has been demonstrated to be insufficient in field measurements and analysis of the harmonic spectra found on recent HVDC line transmission. For this reason, a new model of the converter bridge which takes into account the major stray capacitances in the converter (the three-pulse model) has been developed, and is described in detail elsewhere. This paper presents comparisons between the classical and three-pulse calculations for the Intermountain Power Project (IPP) HVDC transmission. The calculation results from the three-pulse model agree favorably with the harmonics found in field measurements.
Kumar, M.; Singhal, H.; Chakera, J. A.; Naik, P. A.; Khan, R. A.; Gupta, P. D. [Laser Plasma Division, Raja Ramanna Centre for Advanced Technology, Indore 452 013, M.P. (India)
2013-07-21T23:59:59.000Z
A study of the spatial coherence of the high order harmonic radiation generated by the interaction of 45 fs Ti:sapphire laser beam with carbon (graphite) plasma plume has been carried out using Young's double slit interferometry. It is observed that the spatial coherence varies with harmonic order, laser focal spot size in plasma plume, and peaks at an optimal spot size. It is also observed that the spatial coherence is higher when the laser pulse is focused before the plasma plume than when focused after the plume, and it decreases with increase in the harmonic order. The optimum laser parameters and the focusing conditions to achieve good spatial coherence with high harmonic conversion have been identified, which is desirable for practical applications of the harmonic radiation.
Saut, Olivier
PROJET AURORA: COMPLEX AND HARMONIC ANALYSIS RELATED TO GENERATING SYSTEMS: PHASE SPACE LOCALIZATION PROPERTIES, SAMPLING AND APPLICATIONS The aim of the AURORA project CHARGE is to join the efforts holds: A f 2 | f, |2 B f . 1 #12;2 AURORA PROJECT CHARGE The first property is of essential
Reactive Power Sharing and Voltage Harmonic Distortion Compensation of Droop Controlled
Vasquez, Juan Carlos
1 Reactive Power Sharing and Voltage Harmonic Distortion Compensation of Droop Controlled Single, the inverters typically employ the droop control scheme. Traditional droop control enables the decentralized regulation of the local voltage and frequency of the microgrid by the inverters. The droop method also
Instability of non-constant harmonic maps for the 1 + 2-dimensional equivariant wave map system
Côte, Raphaël
energy har- monic map Q (a stationary solution), and show that when it exists, Q is instable in the energy space. Our result applies in particular to the case of wave maps to the sphere S2Instability of non-constant harmonic maps for the 1 + 2-dimensional equivariant wave map system
harmonic photon. The universal cutoff in high-order har- monic generation (HHG) processes exists at Ip 3 (ponderomotive) energy of a quasifree electron quivering in the laser field in the neighborhood of the ionic core [9] and for resonance-enhanced wave mixing [10]. In contrast to these studies, in the nonperturbative
Norris, Andrew
Nonlinear shear wave interaction at a frictional interface: Energy dissipation and generation solids, brought into frictional contact by remote normal compression. A shear wave, either time har the partition of energy resulting from a time harmonic obliquely incident plane SH wave reflected and refracted
Processing simultaneous auditory objects: Infants' ability to detect mistuning in harmonic complexes
Trainor, Laurel J.
notes at the same time. However, the sound wave that reaches the ear is a composite of the sound energy components originated from one source is the har- monic relations between them. Sounds with pitch typically have energy at harmonics that are integer multiples of a fun- damental. Reflecting this, the auditory
Gentine, Pierre
Harmonic propagation of variability in surface energy balance within a coupled energy balance. The amplitude of the noise is maximum at midday when the incoming radiative forcing results in changes in the surface energy balance through the modification of outgoing radiative, turbulent
Early Draft of Introductory Chapter in a Thesis 1.1 Harmonic Generation and Fundamental Concepts
Hart, Gus
. Geometrical phase mismatch is due mainly to the Gouy shift, the phase change of which all light beams in a target material. In the presence of the strong oscillating electric field of the laser, electrons intensity for each harmonic depends on a complex interplay of several different factors, including phase
Stabilizing effect of a double-harmonic RF system in the CERN PS
Bhat, C.; /Fermilab; Caspers, F.; Damerau, H.; Hancock, S.; Mahner, E.; Zimmermann, F.; /CERN
2009-04-01T23:59:59.000Z
Motivated by the discussions on scenarios for LHC upgrades, beam studies on the stability of flat bunches in a double-harmonic RF system have been conducted in the CERN Proton Synchrotron (PS). Injecting nearly nominal LHC beam intensity per cycle, 18 bunches are accelerated on harmonic h = 21 to 26GeV with the 10MHz RF system. On the flat-top, all bunches are then transformed to flat bunches by adiabatically adding RF voltage at h = 42 from a 20 MHz cavity in anti-phase to the h = 21 system. The voltage ratio V (h42)/V (h21) of about 0.5 was set according to simulations. For the next 140 ms, longitudinal profiles show stable bunches in the double-harmonic RF bucket until extraction. Without the second harmonic component, coupled-bunch oscillations are observed. The flatness of the bunches along the batch is analyzed as a measure of the relative phase error between the RF systems due to beam loading. The results of beam dynamics simulations and their comparison with the measured data are presented.
Speech Enhancement of Noisy Speech Using Log-Spectral Amplitude Estimator and Harmonic Tunneling
Wichmann, Felix
Speech Enhancement of Noisy Speech Using Log-Spectral Amplitude Estimator and Harmonic Tunneling we present a two stage noise reduction algo- rithm for speech enhancement. The speech noise removal and decreases the performance of speech coding and speech recog- nition systems. In speech enhancement
Konofagou, Elisa E.
on the tumor's distinct stiffness at the early onset of disease. HMI is a radiation-force-based imaging method a local- ized vibration inside the target. Radiofrequency (rf) signals were then simulated using a 2D- mental rf signals to estimate the axial displacement resulting from the harmonic radiation force. In or
Fast ion absorption of the high harmonic fast wave in the National Spherical Torus Experiment a...
Egedal, Jan
the high harmonic fast wave #HHFW# and energetic particles in a spherical torus #ST# #Ref. 1# is a new, Princeton, New Jersey 08543 R. W. Harvey CompX, Del Mar, California 92014 T. K. Mau University of California, Columbia University, New York, New York 10027 J. Egedal Plasma Science and Fusion Center, Massachusetts
Mitigation of Voltage and Current Harmonics in Grid-Connected Microgrids
Vasquez, Juan Carlos
Mitigation of Voltage and Current Harmonics in Grid-Connected Microgrids Mehdi Savaghebi1 , Josep M-connected microgrids. Two modes of compensation are considered, i.e. voltage and current compensation modes-electronic interface converter to the utility grid or microgrid. Microgrid is a local grid consisting of DGs, energy
PSFC/JA-04-34 Second Harmonic Operation at 460 GHz and
Griffin, Robert G.
with previous technology. Index Terms-- Gyrotron, submillimeter, harmonic, frequency tuning, dynamic nuclear Institute of Technology Cambridge, MA 02139 USA 1 Francis Bitter Magnet Laboratory Massachusetts Institute of Technology Cambridge, MA 02139 USA 2 Northrop Grumman Corporation Rolling Meadows, IL 60008 USA Submitted
Nonlinear harmonic modeling of phemt devices for increased power amplifier efficiencies
Strassner, Bernd Herbert
1997-01-01T23:59:59.000Z
This thesis is a comprehensive study of how harmonic terminations can greatly increase a power amplifier's efficiency (PAE). To show this improvement, the PHEMT amplifier is biased in the low noise region of operation (L, = 20 mA, Vd, = 3 V...
Ratchets Driven by Harmonic and White Noise R. Bartussek, P. Hanggi, a
Lindner, Benjamin
Ratchets Driven by Harmonic and White Noise R. Bartussek, P. HÂ¨anggi, a B. Lindner, and L The synthesis of overdamped Brownian motion in a periodic potenÂ tial which lacks reflection symmetry (ratchet; Colored Noise; Ratchet Dynamics PACS: 05.40.+j; 82.20.Mj; 87.10.+e Preprint submitted to Elsevier Preprint
Levis, Aviad; Aides, Amit; Davis, Anthony B
2015-01-01T23:59:59.000Z
This paper introduces a method to preform optical tomography, using 3D radiative transfer as the forward model. We use an iterative approach predicated on the Spherical Harmonics Discrete Ordinates Method (SHDOM) to solve the optimization problem in a scalable manner. We illustrate with an application in remote sensing of a cloudy atmosphere.
Second-harmonic generation excited by a rotating Laguerre-Gaussian beam
Petrov, Dmitri [ICFO - Institut de Ciencies Fotoniques, Mediterranean Technology Park, ES-08860, Castelldefels (Barcelona), Spain and ICREA - Institucio Catalana de Recerca i Estudis Avancats, ES-08010, Barcelona (Spain)
2010-09-15T23:59:59.000Z
Experimental data demonstrate that unlike linear optical processes, an optical Laguerre-Gaussian beam of frequency {omega}, with topological charge m, rotating with angular frequency {Omega}<<{omega}, may not be considered as a monochromatic beam with the shifted frequency {omega}+m{Omega} (Doppler angular shift) for the second-harmonic generation nonlinear process.
Maas, Ruben; Parsons, James; Polman, Albert
2014-01-01T23:59:59.000Z
We study the propagation of light in a three-dimensional double-periodic Ag/TiO2 multilayer metamaterial composed of coupled plasmonic waveguides operating in the visible and UV spectral range. For these frequencies, light propagation in the plane of the waveguides is described by a negative phase velocity, while for the orthogonal direction light propagation is described by a Bloch wave composed of a large number of harmonics. As a result, the material cannot generally be described by a single phase index: decomposing the Bloch wave into different harmonics we show that for the wavelength range of interest the positive index m=1 harmonic dominates the propagation of light in the orthogonal direction. These results are corroborated by numerical simulations and optical refraction experiments on a double-periodic Ag/TiO2 multilayer metamaterial prism in the 380-600 nm spectral range, which show that positive refraction associated with right-handed harmonics dominates. Studying the isofrequency contours we find ...
Smerdon, Jason E.
Simulating heat transport of harmonic temperature signals in the Earth's shallow subsurface: Lower changes, freeze-thaw cycles, and hydrologic dynamics. It is uncertain, however, whether the reported atmospheric simulations. Citation: Smerdon, J. E., and M. Stieglitz (2006), Simulating heat transport
Angular momentum and energy structure of the coherent state of a 2D isotropic harmonic oscillator
LIU Yufeng; HUO Wujun; ZENG Jinyan
1999-12-03T23:59:59.000Z
The angular momentum structure and energy structure of the coherent state of a 2D isotropic harmonic oscillator were investigated. Calculations showed that the average values of angular momentum and energy (except the zero point energy) of this nonspreading 2D wave packet are identical to those of the corresponding classical oscillator moving along a circular or an elliptic orbit.
Simulation of a parametric quartz crystal oscillator by the symbolic harmonic method
Paris-Sud XI, Université de
method amounts to compute the behavior of the linear part of the circuit in the frequency domain differential equations describing the oscillator circuit is replaced by a system of non- linear equations de l'Observatoire, F-25044 Besan¸con, France The Symbolic Harmonic Analysis (SHA) method
Perturbation theory and harmonic gauge propagation in general relativity, a particular example
Martín, J; Ruiz, E
2015-01-01T23:59:59.000Z
We study how the changes of coordinates between the class of harmonic coordinates affect the analitycal solutions of Einstein's equations and we apply it to an analytical approach for stationary and axisymmetric solutions of Einstein equation used by the authors \\cite{cmmr}, \\cite{cugmmr} to solve the problem of a self-gravitating rigidly rotating perfect fluid compact source.
The one-dimensional thermal properties for the relativistic harmonic oscillators
Abdelmalek Boumali
2014-09-22T23:59:59.000Z
In this paper, we want to improved the calculations of the thermodynamic quantities of the relativistic Harmonic oscillator using the Hurwitz zeta function. The comparison of our results with those obtained by a method based on the Euler-MacLaurin approach has been made.
Campione, Salvatore, E-mail: sncampi@sandia.gov [Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States); Center for Integrated Nanotechnologies (CINT), Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States); Department of Electrical Engineering and Computer Science, University of California Irvine, Irvine, California 92697 (United States); Benz, Alexander; Brener, Igal, E-mail: ibrener@sandia.gov [Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States); Center for Integrated Nanotechnologies (CINT), Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States); Sinclair, Michael B. [Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States); Capolino, Filippo [Department of Electrical Engineering and Computer Science, University of California Irvine, Irvine, California 92697 (United States)
2014-03-31T23:59:59.000Z
We theoretically analyze the second harmonic generation capacity of two-dimensional periodic metamaterials comprising sub-wavelength resonators strongly coupled to intersubband transitions in quantum wells (QWs) at mid-infrared frequencies. The metamaterial is designed to support a fundamental resonance at ?30?THz and an orthogonally polarized resonance at the second harmonic frequency (?60?THz), while the asymmetric quantum well structure is designed to provide a large second order susceptibility. Upon continuous wave illumination at the fundamental frequency we observe second harmonic signals in both the forward and backward directions, with the forward efficiency being larger. We calculate the overall second harmonic conversion efficiency of the forward wave to be ?1.3?×?10{sup ?2} W/W{sup 2}—a remarkably large value, given the deep sub-wavelength dimensions of the QW structure (about 1/15th of the free space wavelength of 10??m). The results shown in this Letter provide a strategy for designing easily fabricated sources across the entire infrared spectrum through proper choice of QW and resonator designs.
Perturbation theory and harmonic gauge propagation in general relativity, a particular example
J. Martín; A. Molina; E. Ruiz
2015-02-20T23:59:59.000Z
We study how the changes of coordinates between the class of harmonic coordinates affect the analitycal solutions of Einstein's equations and we apply it to an analytical approach for stationary and axisymmetric solutions of Einstein equation used by the authors \\cite{cmmr}, \\cite{cugmmr} to solve the problem of a self-gravitating rigidly rotating perfect fluid compact source.
Nonlinear harmonic modeling of phemt devices for increased power amplifier efficiencies
Strassner, Bernd Herbert
1997-01-01T23:59:59.000Z
effiency vs. load state contours with the large black dot representing optimum second harmonic termination (I n(2f)), and the small black dot representing I c(f) = 0. 57Z52. 8' used for power measurements: f = 2. 2 GHz, P, ?= -4. 0 dBm, SS = 67, I s...
Anlage, Steven
Phase-sensitive harmonic measurements of microwave nonlinearities in cuprate thin films Dragos I- mental physics of these materials. Phase-sensitive third-order harmonic-voltage data u~3f = u3f exp i 3f close to the critical temperature Tc. As temperature is increased from below Tc, the harmonic magnitude
SECOND HARMONIC GENERATION OF Bi4Ti3O12 FILMS IN-SITU PROBING OF DOMAIN POLING IN Bi4Ti3O12 THIN
Gopalan, Venkatraman
SECOND HARMONIC GENERATION OF Bi4Ti3O12 FILMS IN-SITU PROBING OF DOMAIN POLING IN Bi4Ti3O12 THIN FILMS BY OPTICAL SECOND HARMONIC GENERATION YANIV BARAD, VENKATRAMAN GOPALAN Materials Research, of a ferroelectric Bi4Ti3O12 thin film using optical second harmonic generation as a probe. The ferroelectric
Harmonic QPOs and Thick Accretion Disk Oscillations in BL Lac Object AO 0235+164
F. K. Liu; G. Zhao; Xue-Bing Wu
2006-06-27T23:59:59.000Z
Periodic outbursts are observed in many AGNs and usually explained with a supermassive black hole binary (SMBHB) scenario. However, multiple periods are observed in some AGNs and cannot be explained with it. Here we analyze the periodicity of the radio light curves of AO 0235+164 at multi-frequencies and report the discovery of six QPOs in integer ratio 1:2:3:4:5:6 of QPO frequencies, of which the second with period $P_2 = (5.46 \\pm 0.47) {\\rm yr}$ is the strongest. We fit the radio light curves and show that the initial phases of six QPOs have zero or $\\pi$ differences relative to each other. We suggest a harmonic relationship of QPOs. The centroid frequency, relative strength, harmonic relationship and relative initial phases of QPOs are independent of radio frequency. The harmonic QPOs are likely due to the quasi-periodic injection of plasma from an oscillating accretion disk into the jet. We estimate the supermassive black hole mass $M_{\\rm BH} \\simeq (4.72\\pm 2.04) \\times 10^8 M_\\odot$ and the accretion rate $\\dot{m}\\simeq 0.007$. With the knowledge of accretion disk, it implies that the inner region of accretion disk of AO 0235+164 is a radiatively inefficient accretion flow. The oscillation accretion is due to the p-mode oscillation of the thick disk probably excited by a SMBHB. The theoretical predications of fundamental oscillation frequency and the harmonics are well consistent with the observations. Harmonic QPOs would be absent when the thick disk becomes geometrically thin due to the increase of accretion rate. We discuss the observations of AO 0235+164 basing on the SMBHB-thick disk oscillation scenario.
Generation of high power sub-terahertz radiation from a gyrotron with second harmonic oscillation
Saito, Teruo; Yamada, Naoki; Ikeuti, Shinji; Tatematsu, Yoshinori; Ikeda, Ryosuke; Ogawa, Isamu; Idehara, Toshitaka [Research Center for Development of Far-Infrared Region, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507 (Japan); Ogasawara, Shinya [Department of Energy Engineering and Science, Nagoya University, Nagoya 464-8463 (Japan); Manuilov, Vladimir N. [Nizhny Novgorod State University, Nizhny Novgorod 603600 (Russian Federation); Shimozuma, Takashi; Kubo, Shin; Nishiura, Masaki; Tanaka, Kenji; Kawahata, Kazuo [National Institute for Fusion Science, 322-6 Oroshi-cho, Toki 509-5292 (Japan)
2012-06-15T23:59:59.000Z
New power records of second harmonic gyrotron oscillation have been demonstrated in the sub-THz band. The first step gyrotron of demountable type had succeeded in oscillation with power more than 50 kW at 350 GHz and nearly 40 kW at 390 GHz [T. Notake et al., Phys. Rev. Lett. 103, 225002 (2009)]. Then, the second step gyrotron of sealed-off type was manufactured. A cavity mode was carefully selected to avoid mode competition with a neighboring fundamental harmonic mode. Matching of the selected mode with the electron gun was also circumspectly considered. The second step gyrotron has attained higher power radiation than the first gyrotron. The maximum single mode power was 62 kW at 388 GHz. Then, the electron gun was modified for use of a different cavity mode with a higher coupling coefficient than that for the 62 kW mode. The new mode proved single mode oscillation power of 83 kW at about 389 GHz. These results are new second-harmonic-oscillation power records for sub-THz gyrotrons. The present study constitutes foundations of development of high power second harmonic sub-THz gyrotron for application to collective Thomson scattering measurement on fusion plasmas, especially on high-density plasmas such as those produced in LHD [N. Ohyabu et al., Phys. Rev. Lett. 97, 055002 (2006)]. This paper reports the design consideration to realize high power single mode gyrotron oscillation at second harmonic and the examination of oscillation characteristics of the gyrotron.
Choi, M.; Pinsker, R. I.; Chan, V. S. [General Atomics, P.O. Box 85608, San Diego, California 92186-5608 (United States); Muscatello, C. M. [University of California-Irvine, Irvine, California, 92697 (United States); Jaeger, E. F. [XCEL Engineering Inc., Oak Ridge, Tennessee 37830 (United States)
2011-12-23T23:59:59.000Z
In recent moderate to high harmonic fast wave heating and current drive experiments in DIII-D, a synergy effect was observed when the 6{sup th} harmonic 90 MHz fast wave power is applied to the plasma preheated by neutral beams and the 4{sup th} harmonic 60 MHz fast wave. In this paper, we investigate how the synergy can occur using ORBIT-RF coupled with AORSA. Preliminary simulations suggest that damping of 4{sup th} harmonic FW on beam ions accelerates them above the injection energy, which may allow significant damping of 6{sup th} harmonic FW on beam ion tails to produce synergy.
Vejling Andersen, Søren; Lund Trolle, Mads; Pedersen, Kjeld [Department of Physics and Nanotechnology, Aalborg University, Skjernvej 4A, DK-9220 Aalborg Øst (Denmark)] [Department of Physics and Nanotechnology, Aalborg University, Skjernvej 4A, DK-9220 Aalborg Øst (Denmark)
2013-12-02T23:59:59.000Z
Oblique angle deposited (OAD) silicon monoxide (SiO) thin films forming tilted columnar structures have been characterized by second-harmonic generation. It was found that OAD SiO leads to a rotationally anisotropic second-harmonic response, depending on the optical angle of incidence. A model for the observed dependence of the second-harmonic signal on optical angle of incidence allows extraction of the growth direction of OAD films. The optically determined growth directions show convincing agreement with cross-sectional scanning electron microscopy images. In addition to a powerful characterization tool, these results demonstrate the possibilities for designing nonlinear optical devices through SiO OAD.
Role of long quantum orbits in high-order harmonic generation
Milosevic, D.B. [Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo (Bosnia and Herzegowina); Max-Born-Institut, Max-Born-Strasse 2a, 12489 Berlin (Germany); Becker, W. [Max-Born-Institut, Max-Born-Strasse 2a, 12489 Berlin (Germany)
2002-12-01T23:59:59.000Z
Single-atom high-order harmonic generation is considered in the strong-field approximation, as formulated in the Lewenstein model, and analyzed in terms of quantum orbits. Orbits are classified according to the solutions of the saddle-point equations. The results of a numerical integration are compared with the saddle-point approximation and the uniform approximation. Approximate analytical solutions for long orbits are presented. The formalism developed is used to analyze the enhancement of high-order harmonic generation near channel closings. The enhancements exactly at the channel closings are extremely narrow and built up by the constructive interference of a very large number of quantum orbits. Additional broader enhancements occur slightly below channel closings. They are generated by the interplay of a medium number of orbits.
Tilli, Andrea; Conficoni, Christian
2011-01-01T23:59:59.000Z
In this chapter some results related to Shunt Active Filters (SAFs) and obtained by the authors and some coauthors are reported. SAFs are complex power electronics equipments adopted to compensate for cur-rent harmonic pollution in electric mains, due to nonlinear loads. By using a proper "floating" capacitor as energy reservoir, the SAF purpose is to inject in the line grid currents canceling the polluting har-monics. Control algorithms play a key role for such devices and, in general, in many power electronics applications. Moreover, systems theory is crucial, since it is the mathematical tool that enables a deep understanding of the involved dynamics of such systems, allowing a correct dimensioning, beside an effective control. As a matter of facts, current injection objective can be straightforwardly formulated as an output tracking control problem. In this fashion, the structural and insidious marginally-stable internal/zero dynamics of SAFs can be immediately highlighted and characterized in terms of si...
Second-harmonic generation efficiency for multifrequency ytterbium-doped fibre laser radiation
Politko, M O; Kablukov, S I; Nemov, I N; Babin, Sergei A
2013-02-28T23:59:59.000Z
The second-harmonic generation (SHG) efficiency for cw Yb-doped fibre laser radiation, which is characterised by many longitudinal modes with random phases, is compared with the SHG efficiency for amplified single-frequency Nd : YAG laser radiation in ppLN and KTP crystals, characterised by the type-I and type-IIphase matching, respectively. It is shown that the conversion efficiency into the second harmonic in the multifrequency regime for both crystals is higher by a factor of about 1.6, a value close to the calculated enhancement (2 for the Gaussian mode statistics). This difference is explained by possible deviation of the statistics of the Yb-doped fibre laser radiation from Gaussian, which is confirmed by measurements of the laser temporal dynamics. (laser optics 2012)
Numerical study on a 0.4 THz second harmonic gyrotron with high power
Chaojun, Lei [Terahertz Science and Technology Research Center, University of Electronics Science and Technology of China, Chengdu 610054 (China) [Terahertz Science and Technology Research Center, University of Electronics Science and Technology of China, Chengdu 610054 (China); The Chinese People's Armed Police Force Academy, Langfang 065000 (China); Sheng, Yu; Hongfu, Li; Yinghui, Liu; Xinjian, Niu; Qixiang, Zhao [Terahertz Science and Technology Research Center, University of Electronics Science and Technology of China, Chengdu 610054 (China)] [Terahertz Science and Technology Research Center, University of Electronics Science and Technology of China, Chengdu 610054 (China)
2013-07-15T23:59:59.000Z
Terahertz and sub-terahertz science and technology are promising topics today. However, it is difficult to obtain high power source of terahertz wave. In this paper, the mode competition and beam-wave interaction in a gradually tapered cavity are studied to achieve high efficiency of a 0.4THz second harmonic gyrotron in practice. In order to attain high power and stable radiation, the TE{sub 32,5} mode is selected as the operating mode of the desired gyrotron to realize single mode oscillation. The issues of studying on the high-order mode gyrotrons are solved effectively by transforming the generalized telegraphist's equations. The efficiency and output power of the gyrotron under different conditions have been calculated by the code, which is based on the transformed equations. Consequently, the results show that single mode second harmonic radiation with power of over 150 kW at frequency of 0.4 THz could be achieved.
Multiple layer optical memory system using second-harmonic-generation readout
Boyd, Gary T. (Woodbury, MN); Shen, Yuen-Ron (Berkeley, CA)
1989-01-01T23:59:59.000Z
A novel optical read and write information storage system is described which comprises a radiation source such as a laser for writing and illumination, the radiation source being capable of radiating a preselected first frequency; a storage medium including at least one layer of material for receiving radiation from the radiation source and capable of being surface modified in response to said radiation source when operated in a writing mode and capable of generating a pattern of radiation of the second harmonic of the preselected frequency when illuminated by the radiation source at the preselected frequency corresponding to the surface modifications on the storage medium; and a detector to receive the pattern of second harmonic frequency generated.
On approximations of the Schr\\"odinger-Newton equation by harmonic potentials
Großardt, André
2015-01-01T23:59:59.000Z
The evolution of the, initially Gaussian, centre-of-mass wave-function for a homogeneous, spherical particle according to the Schr\\"odinger-Newton equation can be approximated by a harmonic potential, if the wave-function is narrow compared to the size of the particle. Here, the validity of a previously proposed approximation of the Schr\\"odinger-Newton equation is studied, where this is extended beyond the regime of narrow wave-functions, replacing the coupling constant of the harmonic potential by a function of the wave-function width. It turns out that such an extension beyond the narrow wave-function regime is not a good approximation for the self-gravitational evolution according to the Schr\\"odinger-Newton equation.
Psikal, J., E-mail: jan.psikal@fjfi.cvut.cz [FNSPE, Czech Technical University in Prague, 11519 Prague (Czech Republic); Klimo, O. [FNSPE, Czech Technical University in Prague, 11519 Prague (Czech Republic); ELI-Beamlines Project, Institute of Physics of the ASCR, 18221 Prague (Czech Republic); Weber, S.; Margarone, D. [ELI-Beamlines Project, Institute of Physics of the ASCR, 18221 Prague (Czech Republic)
2014-07-15T23:59:59.000Z
The influence of laser frequency on laser-driven ion acceleration is investigated by means of two-dimensional particle-in-cell simulations. When ultrashort intense laser pulse at higher harmonic frequency irradiates a thin solid foil, the target may become re lativistically transparent for significantly lower laser pulse intensity compared with irradiation at fundamental laser frequency. The relativistically induced transparency results in an enhanced heating of hot electrons as well as increased maximum energies of accelerated ions and their numbers. Our simulation results have shown the increase in maximum proton energy and increase in the number of high-energy protons by a factor of 2 after the interaction of an ultrashort laser pulse of maximum intensity 7?×?10{sup 21?}W/cm{sup 2} with a fully ionized plastic foil of realistic density and of optimal thickness between 100?nm and 200?nm when switching from the fundamental frequency to the third harmonics.
Price, Rachel Elizabeth
2011-01-01T23:59:59.000Z
Recent works have discussed "chaotic" or "Type-II" riser motion and suggested that it is a general feature of VIV riser response. Chaotic riser response contains broad-banded harmonics and a combination of standing and ...
D. Matrasulov
1998-04-17T23:59:59.000Z
Schr\\"odinger equation for two center Coulomb plus harmonic oscillator potential is solved by the method of ethalon equation at large intercenter separations. Asymptotical expansions for energy term and wave function are obtained in the analytical form.
Jiang, Tsin-Fu; Chu, Shih-I
1992-12-01T23:59:59.000Z
We present a study of the high-order harmonic-generation (HG) spectra of atomic hydrogen at 248 nm based on the Fourier transform of the expectation values of the induced dipole moment and acceleration. The calculations ...
Biswanath Rath; P. Mallick
2015-01-25T23:59:59.000Z
We propose zero energy correction method for non-Hermiition Harmonic oscillator under simultaneous transformation of co-ordinate $(x \\rightarrow \\frac{(x+ i\\lambda p)}{\\sqrt{(1+\\beta \\lambda)}}$ and momentum $(p \\rightarrow \\frac{(p+ i\\beta x)}{\\sqrt{(1+\\beta \\lambda)}}$ for getting energy eigenvalue in place of extending the idea of gaugelike transformation proposed earlier in momentum transformation $(p \\rightarrow p+i\\beta x)$ by Z.Ahmed [Phys.Lett A 294,287 (2002)]. Further energy of non-Hermitian Harmonic oscillator remains the same as that of Harmonic oscillator. PACS: 03. 65 Db Key words.Non-Hermitian Harmonic oscillator, Perturbation theory,Energy level.
Design of a Low Power 70MHz-110MHz Harmonic Rejection Filter with Class-AB Output Stage
Huang, Shan
2011-08-08T23:59:59.000Z
An FM transmitter becomes the new feature in recent portable electronic development. A low power, integrable FM transmitter filter IC is required to meet the demand of FM transmitting feature. A low pass filter using harmonic rejection technique...
Ransom, Ray M. (Big Bear City, CA); Gallegos-Lopez, Gabriel (Torrance, CA); Kinoshita, Michael H. (Redondo Beach, CA)
2012-07-31T23:59:59.000Z
Methods, system and apparatus are provided for quickly approximating a peak summed magnitude (A) of a phase voltage (Vph) waveform in a multi-phase system that implements third harmonic injection.
Kartner, Franz X.
Continuous channel waveguides in periodically poled KTiOPO[subscript 4] with guided orthogonal polarizations are used to demonstrate type-II background-free second harmonic generation at 1505 nm with 1.2 %/(W cm[superscript ...
Gibbs attractor: a chaotic nearly Hamiltonian system, driven by external harmonic force
P. V. Elyutin
2003-09-08T23:59:59.000Z
A chaotic autonomous Hamiltonian systems, perturbed by small damping and small external force, harmonically dependent on time, can acquire a strange attractor with properties similar to that of the canonical distribution - the Gibbs attractor. The evolution of the energy in such systems can be described as the energy diffusion. For the nonlinear Pullen - Edmonds oscillator with two degrees of freedom the properties of the Gibbs attractor and their dependence on parameters of the perturbation are studied both analytically and numerically.
Carroll, D.P. [Florida Univ., Gainesville, FL (United States); Kasturi, S. [MOS, Inc., Melville, NY (United States); Subudhi, M.; Gunther, W. [Brookhaven National Lab., Upton, NY (United States)
1992-12-31T23:59:59.000Z
Most previous analysis on the effects of geomagnetically induced currents (GIC) on electric utility systems has steady-state phenomena, with the main interest in the generator step-up transformer and the off-site power system. This paper begins to investigate the possible effects that a GIC event might have on the power plant itself, by examining the harmonic distortion that could exist at various voltage levels in the on-site distribution system.
Carroll, D.P. (Florida Univ., Gainesville, FL (United States)); Kasturi, S. (MOS, Inc., Melville, NY (United States)); Subudhi, M.; Gunther, W. (Brookhaven National Lab., Upton, NY (United States))
1992-01-01T23:59:59.000Z
Most previous analysis on the effects of geomagnetically induced currents (GIC) on electric utility systems has steady-state phenomena, with the main interest in the generator step-up transformer and the off-site power system. This paper begins to investigate the possible effects that a GIC event might have on the power plant itself, by examining the harmonic distortion that could exist at various voltage levels in the on-site distribution system.
Laser-induced bound-state phases in high-order harmonic generation
Etches, Adam; Madsen, Lars Bojer
2015-01-01T23:59:59.000Z
We present single-molecule and macroscopic calculations showing that laser-induced Stark shifts contribute significantly to the phase of high-order harmonics from polar molecules. This is important for orbital tomography, where phases of field-free dipole matrix elements are needed in order to reconstruct molecular orbitals. We derive an analytical expression that allows the first-order Stark phase to be subtracted from experimental measurements.
M. Daoud; A. Jellal; E. B. Choubabi; E. H. El Kinani
2012-10-29T23:59:59.000Z
We introduce a special class of truncated Weyl-Heisenberg algebra and discuss the corresponding Hilbertian and analytical representations. Subsequently, we study the effect of a quantum network of beam splitting on coherent states of this nonlinear class of harmonic oscillators. We particularly focus on quantum networks involving one and two beam splitters and examine the degree of bipartite as well as tripartite entanglement using the linear entropy.
Calculation of the convex roof for an open entangled harmonic oscillator system
Landau, Mayer A.; Stroud, C. R. Jr. [Institute of Optics, University of Rochester, Rochester, New York 14627 (United States)
2010-05-15T23:59:59.000Z
We explicitly calculate the time dependence of entanglement via the convex roof extension for a system of noninteracting harmonic oscillators. These oscillators interact only indirectly with each other by way of a zero-temperature bath. The initial state of the oscillators is taken to be that of an entangled Schroedinger-cat state. This type of initial condition leads to superexponential decay of the entanglement when the initial state has the same symmetry as the interaction Hamiltonian.
A frequency scanning method for the identification of harmonic instabilities in HVDC systems
Jiang, X.; Gole, A.M. [Univ. of Manitoba, Winnipeg, Manitoba (Canada). Dept. of Electrical and Computer Engineering] [Univ. of Manitoba, Winnipeg, Manitoba (Canada). Dept. of Electrical and Computer Engineering
1995-10-01T23:59:59.000Z
A Frequency Scanning Method is introduced in the paper to obtain a more accurate frequency characteristic for identifying harmonic instability in HVdc systems. An example of the application is used to identify the resonance frequencies in the CIGRE benchmark model. The paper shows that the Benchmark model is not tuned to the resonance frequency that it was designed for. Using the scanning method, the resonance frequency of the benchmark model may be shifted to demonstrate a simulation of core-saturation type instability.
Zhang, Xiaoshi (Superior, CO); Lytle, Amy L. (Boulder, CO); Cohen, Oren (Boulder, CO); Kapteyn, Henry C. (Boulder, CO); Murnane, Margaret M. (Boulder, CO)
2010-11-09T23:59:59.000Z
All-optical quasi-phase matching (QPM) uses a train of counterpropagating pulses to enhance high-order harmonic generation (HHG) in a hollow waveguide. A pump pulse enters one end of the waveguide, and causes HHG in the waveguide. The counterpropagation pulses enter the other end of the waveguide and interact with the pump pulses to cause QPM within the waveguide, enhancing the HHG.
Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator
Rémi Azouit; Alain Sarlette; Pierre Rouchon
2015-03-21T23:59:59.000Z
We prove that a harmonic oscillator driven by Lindblad dynamics where the typical drive and loss channels are two-photon processes instead of single-photon ones, converges to a protected subspace spanned by two coherent states of opposite amplitude. We then characterize the slow dynamics induced by a perturbative single-photon loss on this protected subspace, by performing adiabatic elimination in the Lindbladian dynamics.
N. N. Ajitanand; J. M. Alexander; P. Chung; W. G. Holzmann; M. Issah; Roy A. Lacey; A. Shevel; A. Taranenko; P. Danielewicz
2005-06-14T23:59:59.000Z
Methodology is presented for analysis of two-particle azimuthal angle correlation functions obtained in collisions at ultra-relativistic energies. We show that harmonic and di-jet contributions to these correlation functions can be reliably decomposed by two techniques to give an accurate measurement of the jet-pair distribution. Results from detailed Monte Carlo simulations are used to demonstrate the efficacy of these techniques in the study of possible modifications to jet topologies in heavy ion reactions.
Hyperspherical harmonic study of identical-flavor four-quark systems
J. Vijande; N. Barnea; A. Valcarce
2006-10-23T23:59:59.000Z
We present an exact method based on a hyperspherical harmonic expansion to study systems made of quarks and antiquarks of the same flavor. Our formalism reproduces and improves the results obtained with variational approaches. This analysis shows that identical-flavor four-quark systems with non-exotic $2^{++}$ quantum numbers may be bound independently of the quark mass. $0^{+-}$ and $1^{+-}$ states become attractive only for larger quarks masses.
Donald J. Kouri
2015-02-06T23:59:59.000Z
At the recent QSCP XIX, the author claimed a procedure of using a scaled Fourier transform (the scaling being determined by the detailed interaction and particle mass for a harmonic oscillator) to achieve simultaneous resolution of position and momentum greater than the standard Heisenberg value of 1/2. The procedure is, in fact, invalid for quantum mechanics. The purpose of this paper is simply to give the correct analysis of the uncertainty product, thereby clarifying the error made.
Whitaker, M.; Heath, G. A.; O'Donoughue, P.; Vorum, M.
2012-04-01T23:59:59.000Z
This systematic review and harmonization of life cycle assessments (LCAs) of utility-scale coal-fired electricity generation systems focuses on reducing variability and clarifying central tendencies in estimates of life cycle greenhouse gas (GHG) emissions. Screening 270 references for quality LCA methods, transparency, and completeness yielded 53 that reported 164 estimates of life cycle GHG emissions. These estimates for subcritical pulverized, integrated gasification combined cycle, fluidized bed, and supercritical pulverized coal combustion technologies vary from 675 to 1,689 grams CO{sub 2}-equivalent per kilowatt-hour (g CO{sub 2}-eq/kWh) (interquartile range [IQR]= 890-1,130 g CO{sub 2}-eq/kWh; median = 1,001) leading to confusion over reasonable estimates of life cycle GHG emissions from coal-fired electricity generation. By adjusting published estimates to common gross system boundaries and consistent values for key operational input parameters (most importantly, combustion carbon dioxide emission factor [CEF]), the meta-analytical process called harmonization clarifies the existing literature in ways useful for decision makers and analysts by significantly reducing the variability of estimates ({approx}53% in IQR magnitude) while maintaining a nearly constant central tendency ({approx}2.2% in median). Life cycle GHG emissions of a specific power plant depend on many factors and can differ from the generic estimates generated by the harmonization approach, but the tightness of distribution of harmonized estimates across several key coal combustion technologies implies, for some purposes, first-order estimates of life cycle GHG emissions could be based on knowledge of the technology type, coal mine emissions, thermal efficiency, and CEF alone without requiring full LCAs. Areas where new research is necessary to ensure accuracy are also discussed.
Peter Kramer
2007-01-01T23:59:59.000Z
Fluctuations of the Cosmic Microwave Background CMB are observed by the WMAP. When expanded into the harmonic eigenmodes of the space part of a cosmological model, they provide insight into the large-scale topology of space. All harmonic polynomials on the multiply connected dodecahedral Poincare space are constructed. Strong and specific selection rules are given by comparing the polynomials to those on the 3-sphere, its simply connected cover.
The shifted harmonic approximation and asymptotic SU(2) and SU(1,1) Clebsch--Gordan coefficients
David J Rowe; Hubert de Guise
2010-11-29T23:59:59.000Z
Clebsch-Gordan coefficients of SU(2) and SU(1,1) are defined as eigenfunctions of a linear operator acting on the tensor product of the Hilbert spaces for two irreps of these groups. The shifted harmonic approximation is then used to solve these equations in asymptotic limits in which these eigenfunctions approach harmonic oscillator wave functions and thereby derive asymptotic expressions for these Clebsch--Gordan coefficients.
Vuckovic, Jelena
Quasiresonant excitation of InP/InGaP quantum dots using second harmonic generated in a photonic://apl.aip.org/about/rights_and_permissions #12;Quasiresonant excitation of InP/InGaP quantum dots using second harmonic generated in a photonic signal to noise quasiresonant excitation of InP/InGaP quantum dots. The excitation is provided via second
Efficiency enhancement of nonlinear odd harmonics in thermal free electron laser
Bazouband, F.; Maraghechi, B. [Department of Physics, Amirkabir University of Technology, 15875-4413 Tehran (Iran, Islamic Republic of)
2013-05-07T23:59:59.000Z
The effect of axial energy spread on the radiation of third harmonic is studied in the free electron laser with planar wiggler and ion-channel guiding. Spread in the longitudinal momentum and so in the initial energy of electron beam, without any spread in the transverse velocity, is assumed in the form of Gaussian distribution function. The technique that is employed is a one-dimensional and steady-state simulation. A set of self consistent nonlinear differential equations that describes the system is solved numerically by Runge-Kutta method. Due to the sensitivity of harmonics to thermal effects, gain improvement of third harmonic radiation is achieved by using ion-channel guiding technique and efficiency enhancement is applied by tapering the magnetic field of wiggler to optimize radiation. The bunching parameter of the electron beam is also studied. It is found that the growth of the magnitude of the bunching parameter that is caused by the ponderomotive wave stops before the saturation point of the radiation. This means that ponderomotive wave saturates at a shorter distance compared to the radiation.
Dynamics of entanglement between two harmonic modes in stable and unstable regimes
L. Rebón; N. Canosa; R. Rossignoli
2014-04-17T23:59:59.000Z
The exact dynamics of the entanglement between two harmonic modes generated by an angular momentum coupling is examined. Such system arises when considering a particle in a rotating anisotropic harmonic trap or a charged particle in a fixed harmonic potential in a magnetic field, and exhibits a rich dynamical structure, with stable, unstable and critical regimes according to the values of the rotational frequency or field and trap parameters. Consequently, it is shown that the entanglement generated from an initially separable gaussian state can exhibit quite distinct evolutions, ranging from quasiperiodic behavior in stable sectors to different types of unbounded increase in critical and unstable regions. The latter lead respectively to a logarithmic and linear growth of the entanglement entropy with time. It is also shown that entanglement can be controlled by tuning the frequency, such that it can be increased, kept constant or returned to a vanishing value just with stepwise frequency variations. Exact asymptotic expressions for the entanglement entropy in the different dynamical regimes are provided.
Lattice Monte Carlo calculations for unitary fermions in a harmonic trap
Michael G. Endres; David B. Kaplan; Jong-Wan Lee; Amy N. Nicholson
2011-11-03T23:59:59.000Z
We present a new lattice Monte Carlo approach developed for studying large numbers of strongly interacting nonrelativistic fermions, and apply it to a dilute gas of unitary fermions confined to a harmonic trap. Our lattice action is highly improved, with sources of discretization and finite volume errors systematically removed; we are able to demonstrate the expected volume scaling of energy levels of two and three untrapped fermions, and to reproduce the high precision calculations published previously for the ground state energies for N = 3 unitary fermions in a box (to within our 0.3% uncertainty), and for N = 3, . . ., 6 unitary fermions in a harmonic trap (to within our ~ 1% uncertainty). We use this action to determine the ground state energies of up to 70 unpolarized fermions trapped in a harmonic potential on a lattice as large as 64^3 x 72; our approach avoids the use of importance sampling or calculation of a fermion determinant and employs a novel statistical method for estimating observables, allowing us to generate ensembles as large as 10^8 while requiring only relatively modest computational resources.
Opportunities for regional harmonization of appliance standards and l abeling program
McNeil, Michael A.
2003-09-01T23:59:59.000Z
The South Asian Regional Initiative for Energy (SARI/Energy) calls for a series of activities to promote Energy Efficiency Standards and Labeling (EES&L) of end use appliances in the region. In pursuit of this goal, the project supports several seminars and meetings that bring together policymakers and stakeholders from throughout the region. The purpose of these gatherings is to encourage a dialogue among participants as to the benefits and barriers associated with EES&L programs. In addition, it is the role of the program organizers to provide participants with the technical details necessary to make progress towards effective efficiency programs. One component of the initiative is to encourage the harmonization (alignment) of existing program components, and the pursuit of new programs coordinated at the regional level. In support of this goal, the report provides information aimed at motivating and enabling cooperative activities which will provide concrete benefits to programs in each country, whether well developed, or still in the initial planning stage. It should be emphasized that the underlying objective of the harmonization component of the SARI/Energy project is to increase the potential for success of EES&L programs of all countries involved, and to reduce burdens on manufacturers, exporters and importers in each country. Harmonization ''for it's own sake'' is not desirable, nor is it suggested that policymakers should bring their programs in line with international norms if doing so would present a disadvantage to their own efficiency programs, or to commercial interests within their country. If there is no such disadvantage, however, the program encourages alignment of policies and provides a forum at which this alignment can be pursued. The report covers several main topics, with varying emphasis. First, a general discussion of the motivation for an explicit policy of regional harmonization is given. Next, the current status of existing programs in the region are discussed in some detail. The section that follows covers the harmonization of efficiency test procedures. Special attention is given to this component of an EES&L program because it is the most critical element in terms of harmonization--having incompatible test procedures between trade partners can greatly impact the effectiveness of a program, and it can also unduly impact trade. Currently, policymakers in India and Sri Lanka are collaborating with the goal of aligning refrigerator test procedures used in their respective programs. For this reason, the section on test procedures of refrigerators goes into a significant amount of technical detail, in order to provide the clearest possible articulation of issues to be resolved in bringing the procedures into alignment. Following the discussion of test procedures, the report contains a section each on harmonization of efficiency rating levels, development of label designs, and enforcement issues. The report is organized such that the sections covering current programs and test procedures are subdivided by target appliance. These sections are further divided by country, where applicable. Each section is concluded with recommendations.
Warner, E. S.; Heath, G. A.
2012-04-01T23:59:59.000Z
A systematic review and harmonization of life cycle assessment (LCA) literature of nuclear electricity generation technologies was performed to determine causes of and, where possible, reduce variability in estimates of life cycle greenhouse gas (GHG) emissions to clarify the state of knowledge and inform decision making. LCA literature indicates that life cycle GHG emissions from nuclear power are a fraction of traditional fossil sources, but the conditions and assumptions under which nuclear power are deployed can have a significant impact on the magnitude of life cycle GHG emissions relative to renewable technologies. Screening 274 references yielded 27 that reported 99 independent estimates of life cycle GHG emissions from light water reactors (LWRs). The published median, interquartile range (IQR), and range for the pool of LWR life cycle GHG emission estimates were 13, 23, and 220 grams of carbon dioxide equivalent per kilowatt-hour (g CO{sub 2}-eq/kWh), respectively. After harmonizing methods to use consistent gross system boundaries and values for several important system parameters, the same statistics were 12, 17, and 110 g CO{sub 2}-eq/kWh, respectively. Harmonization (especially of performance characteristics) clarifies the estimation of central tendency and variability. To explain the remaining variability, several additional, highly influential consequential factors were examined using other methods. These factors included the primary source energy mix, uranium ore grade, and the selected LCA method. For example, a scenario analysis of future global nuclear development examined the effects of a decreasing global uranium market-average ore grade on life cycle GHG emissions. Depending on conditions, median life cycle GHG emissions could be 9 to 110 g CO{sub 2}-eq/kWh by 2050.
Study of second harmonic generation by high power laser beam in magneto plasma
Sharma, Prerana [Ujjain Engineering College, Ujjain, Madhya Pradesh 465010 (India); Sharma, R. P. [Centre for Energy Studies, Indian Institute of Technology, New Delhi 110016 (India)
2012-12-15T23:59:59.000Z
This paper examines the problem of nonlinear generation of second harmonic of a high power laser pulse propagating in magnetized plasma. The propagation of strong laser beam is proposed in the direction perpendicular to a relatively weak static magnetic field. The laser pulse is taken to be linearly polarized, with the orientation of its electric field that corresponds to an ordinary electromagnetic wave. Besides the standard ponderomotive nonlinearity, the appropriate wave equation also contains the nonlinearity that arises from the relativistic electron jitter velocities. During its propagation, the laser beam gets filamented on account of relativistic and pondermotive nonlinearities present in the plasma. The generated plasma wave gets coupled into the filamentary structures of the pump beam. Due to the expected presence of the beam filamentation, the work has been carried out by considering modified paraxial approximation (i.e., beyond the standard paraxial approximation of a very broad beam). It is found that the power of the plasma wave is significantly affected by the magnetic field strength in the presence of both relativistic and pondermotive nonlinearities. It is investigated that the second harmonic generation is also considerably modified by altering the strength of magnetic field. To see the effect of static magnetic field on the harmonic generation, a key parameter, i.e., the ratio of the cyclotron frequency {omega}{sub c}=eB{sub 0}/mc over the laser frequency {omega}{sub 0} has been used, where c is the velocity of light, m and e are the mass and charge of the electron and B{sub 0} is the externally applied magnetic field.
Transient particle energies in shortcuts to adiabatic expansions of harmonic traps
Yang-Yang Cui; Xi Chen; J. G. Muga
2015-05-12T23:59:59.000Z
The expansion of a harmonic potential that holds a quantum particle may be realized without any final particle excitation but much faster than adiabatically via "shortcuts to adiabaticity" (STA). While ideally the process time can be reduced to zero, practical limitations and constraints impose minimal finite times for the externally controlled time-dependent frequency protocols. We examine the role of different time-averaged energies (total, kinetic, potential, non-adiabatic) and of the instantaneous power in characterizing or selecting different protocols.Specifically, we prove a virial theorem for STA processes, set minimal energies for specific times or viceversa, and discuss their realizability by means of Dirac impulses or otherwise.
Johan S. Høye; Iver Brevik
2011-06-04T23:59:59.000Z
The Casimir friction problem can be dealt with in a simplified way by considering two harmonic oscillators moving with constant relative velocity. Recently we calculated the energy dissipation for such a case, [EPL {\\bf 91}, 60003 (2010); Europ. Phys. J. D {\\bf 61}, 335 (2011)]. A recent study of Barton [New J. Phys. {\\bf 12}, 113044 (2010)] seemingly leads to a different result for the dissipation. If such a discrepancy really were true, it would imply a delicate difficulty for the basic theory of Casimir friction. In the present note we show that the expressions for the dissipation are in fact physically equivalent, at T=0.
Method and apparatus for reducing the harmonic currents in alternating-current distribution networks
Beverly, L.H.; Hance, R.D.; Kristalinski, A.L.; Visser, A.T.
1996-11-19T23:59:59.000Z
An improved apparatus and method reduce the harmonic content of AC line and neutral line currents in polyphase AC source distribution networks. The apparatus and method employ a polyphase Zig-Zag transformer connected between the AC source distribution network and a load. The apparatus and method also employs a mechanism for increasing the source neutral impedance of the AC source distribution network. This mechanism can consist of a choke installed in the neutral line between the AC source and the Zig-Zag transformer. 23 figs.
Spectral resolution of the Liouvillian of the Lindblad master equation for a harmonic oscillator
Honda, Daigo [Institute of Physics, University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902 (Japan); Nakazato, Hiromichi; Yoshida, Motoyuki [Department of Physics, Waseda University, Okubo, Shinjuku-ku, Tokyo 169-8555 (Japan)
2010-07-15T23:59:59.000Z
A Lindblad master equation for a harmonic oscillator, which describes the dynamics of an open system, is formally solved. The solution yields the spectral resolution of the Liouvillian, that is, all eigenvalues and eigenprojections are obtained. This spectral resolution is discussed in depth in the context of the biorthogonal system and the rigged Hilbert space, and the contribution of each eigenprojection to expectation values of physical quantities is revealed. We also construct the ladder operators of the Liouvillian, which clarify the structure of the spectral resolution.
Efficient fourth order symplectic integrators for near-harmonic separable Hamiltonian systems
Nielsen, Kristian Mads Egeris
2015-01-01T23:59:59.000Z
Efficient fourth order symplectic integrators are proposed for numerical integration of separable Hamiltonian systems H(p,q)=T(p)+V(q). Symmetric splitting coefficients with five to nine stages are obtained by higher order decomposition of the simple harmonic oscillator. The performance of the methods is evaluated for various Hamiltonian systems: Integration errors are compared to those of acclaimed integrators composed by S. Blanes et al. (2013), W. Kahan et al. (1999) and H. Yoshida (1990). Numerical tests indicate that the integrators obtained in this paper perform significantly better than previous integrators for common Hamiltonian systems.
Efficient fourth order symplectic integrators for near-harmonic separable Hamiltonian systems
Kristian Mads Egeris Nielsen
2015-02-09T23:59:59.000Z
Efficient fourth order symplectic integrators are proposed for numerical integration of separable Hamiltonian systems H(p,q)=T(p)+V(q). Symmetric splitting coefficients with five to nine stages are obtained by higher order decomposition of the simple harmonic oscillator. The performance of the methods is evaluated for various Hamiltonian systems: Integration errors are compared to those of acclaimed integrators composed by S. Blanes et al. (2013), W. Kahan et al. (1999) and H. Yoshida (1990). Numerical tests indicate that the integrators obtained in this paper perform significantly better than previous integrators for common Hamiltonian systems.
Self-Induced Harmonic Generation in a Storage-Ring Free-Electron Laser
De Ninno, G. [University of Nova Gorica (Slovenia); Sincrotrone Trieste, Basovizza (Trieste) (Italy); Allaria, E.; Danailov, M. B.; Diviacco, B.; Ferianis, M.; Karantzoulis, E.; Spezzani, C.; Trovo, M. [Sincrotrone Trieste, Basovizza (Trieste) (Italy); Coreno, M. [TASC-INFM National Laboratory, Basovizza (Trieste) (Italy); Chowdhury, S. [Xerox Research Center, Webster, New York (United States); Curbis, F. [Sincrotrone Trieste, Basovizza (Trieste) (Italy); University of Trieste (Italy); Longhi, E. C. [Diamond Light Source, Oxfordshire (United Kingdom); Pinayev, I. V.; Litvinenko, V. N. [Brookhaven National Laboratory, Upton, New York (United States)
2008-03-14T23:59:59.000Z
Coherent radiation from a relativistic electron beam is a valuable way to overcome the present limitations of conventional lasers and synchrotron radiation light sources. The typical scheme has electrons, directly from a linac, in a single-pass interaction with a laser pulse in the presence of a static undulator magnetic field. We demonstrate that a storage-ring free-electron laser can also achieve harmonic generation (down to 36.5 nm), presenting both experimental and theoretical results, and offer a reliable interpretation of the peculiar underlying physical processes involved.
Reliability of IGBT in a STATCOM for Harmonic Compensation and Power Factor Correction
Gopi Reddy, Lakshmi Reddy [ORNL; Tolbert, Leon M [ORNL; Ozpineci, Burak [ORNL; Xu, Yan [ORNL; Rizy, D Tom [ORNL
2012-01-01T23:59:59.000Z
With smart grid integration, there is a need to characterize reliability of a power system by including reliability of power semiconductors in grid related applications. In this paper, the reliability of IGBTs in a STATCOM application is presented for two different applications, power factor correction and harmonic elimination. The STATCOM model is developed in EMTP, and analytical equations for average conduction losses in an IGBT and a diode are derived and compared with experimental data. A commonly used reliability model is used to predict reliability of IGBT.
Method and apparatus for reducing the harmonic currents in alternating-current distribution networks
Beverly, Leon H. (Lockport, IL); Hance, Richard D. (Elburn, IL); Kristalinski, Alexandr L. (Naperville, IL); Visser, Age T. (Geneva, IL)
1996-01-01T23:59:59.000Z
An improved apparatus and method reduce the harmonic content of AC line and neutral line currents in polyphase AC source distribution networks. The apparatus and method employ a polyphase Zig-Zag transformer connected between the AC source distribution network and a load. The apparatus and method also employs a mechanism for increasing the source neutral impedance of the AC source distribution network. This mechanism can consist of a choke installed in the neutral line between the AC source and the Zig-Zag transformer.
High Harmonic Generation and the Role of Atomic Orbital Wave Functions
Levesque, J. [National Research Council of Canada, 100 Sussex Drive, Ottawa, Ontario K1A 0R6 (Canada); INRS-Energie et Materiaux, 1650 boul. Lionel-Boulet, C.P. 1020, Varennes (Quebec) J3X 1S2 (Canada); Zeidler, D. [National Research Council of Canada, 100 Sussex Drive, Ottawa, Ontario K1A 0R6 (Canada); Carl Zeiss SMT AG, Rudolf-Eber-Str. 2, 73447 Oberkochen (Germany); Marangos, J. P. [The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2BW (United Kingdom); Corkum, P. B.; Villeneuve, D. M. [National Research Council of Canada, 100 Sussex Drive, Ottawa, Ontario K1A 0R6 (Canada)
2007-05-04T23:59:59.000Z
High harmonic spectra were recorded from different rare-gas atoms under identical experimental conditions. It is shown that although each atom's spectrum is different, the differences are due almost entirely to the orbital influence in the recombination step. The amplitude of the continuum electron wave packet versus kinetic energy is derived from these data and is shown to be largely independent of the atom, in agreement with models of tunnel ionization. We compare the measurements with calculations in both the length gauge and the velocity gauge and show that the two gauges imply a different de Broglie wavelength.
Dissipative dynamics of a Harmonic Oscillator : A non-perturbative approach
Jishad Kumar; S. Sinha; P. A. Sreeram
2009-03-25T23:59:59.000Z
Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of non-interacting oscillators. We follow a non-perturbative approach, proposed earlier by us for the free Brownian particle. The diffusion constants are calculated analytically and the positivity of the Master Equation is shown to hold above a critical temperature. We compare the long time behaviour of the average kinetic and potential energies with known thermodynamic results. In the limit of vainishing oscillator frequency of the system, we recover the results of the free Brownian particle.
The smoothing transformer, a new concept in dc side harmonic reduction of HVdc schemes
Enright, W.; Arrillaga, J.; Wood, A.R.; Hidalgo, F.P.
1996-10-01T23:59:59.000Z
Direct connection schemes have been a subject of recent investigation, offering operational flexibility and substantial reductions in ac components. In these schemes the use of active dc filters has been suggested to replace the conventional tuned passive filter design. This paper presents the smoothing transformer as a new means for reducing dc harmonics at characteristic and non-characteristic frequencies using only passive components. A realistic smoothing transformer design is examined using the New Zealand HVdc system operating in the direct connection mode. The steady-state and transient performance of the smoothing transformer design is compared with that of the existing dc smoothing reactor and filter bank.
Harmonic oscillator in twisted Moyal plane: eigenvalue problem and relevant properties
Mahouton Norbert Hounkonnou; Dine Ousmane Samary
2010-08-07T23:59:59.000Z
The paper reports on a study of a harmonic oscillator (ho) in the twisted Moyal space, in a well defined matrix basis, generated by the vector fields $X_{a}=e_{a}^{\\mu}(x)\\partial_{\\mu}=(\\delta_{a}^{\\mu}+\\omega_{ab}^{\\mu}x^{b})\\partial_{\\mu}$, which induce a dynamical star product. The usual multiplication law can be hence reproduced in the $\\omega_{ab}^{\\mu}$ null limit. The star actions of creation and annihilation functions are explicitly computed. The ho states are infinitely degenerate with energies depending on the coordinate functions.
Enhanced third harmonic generation from the epsilon-near-zero modes of ultrathin films
Luk, Ting S; Liu, Sheng; Keeler, Gordon A; Prasankumar, Rohit P; Vincenti, Maria A; Scalora, Michael; Sinclair, Michael B; Campione, Salvatore
2015-01-01T23:59:59.000Z
We experimentally demonstrate efficient third harmonic generation from an indium tin oxide (ITO) nanofilm (lambda/42 thick) on a glass substrate for a pump wavelength of 1.4 um. A conversion efficiency of 3.3x10^-6 is achieved by exploiting the field enhancement properties of the epsilon-near-zero (ENZ) mode with an enhancement factor of 200. This nanoscale frequency conversion method is applicable to other plasmonic materials and reststrahlen materials in proximity of the longitudinal optical phonon frequencies.
Propagators of isochronous an-harmonic oscillators and Mehler formula for the x-Hermite polynomials
Andrey M. Pupasov-Maksimov
2015-02-06T23:59:59.000Z
It is shown that fundamental solutions $K^\\sigma(x,y;t)=\\langle x|e^{-i H^\\sigma t}|y\\rangle$ of the non-stationary Schr\\"{o}dinger equation (Green functions, or propagators) for the rational extensions of the Harmonic oscillator $H^\\sigma=H_{\\rm osc}+\\Delta V^\\sigma$ are expressed in terms of elementary functions only. An algorithm to calculate explicitly $K_\\sigma$ for an arbitrary $\\sigma\\in \\mathbb{N}$ is given, compact expressions for $K^{\\{1,2\\}}$ and $K^{\\{2,3\\}}$ are presented. A generalization of the Mehler's formula to the case of exceptional Hermite polynomials is given.
Label-free three-dimensional imaging of cell nucleus using third-harmonic generation microscopy
Lin, Jian; Zheng, Wei; Wang, Zi; Huang, Zhiwei, E-mail: biehzw@nus.edu.sg [Optical Bioimaging Laboratory, Department of Biomedical Engineering, Faculty of Engineering, National University of Singapore, Singapore 117576 (Singapore)
2014-09-08T23:59:59.000Z
We report the implementation of the combined third-harmonic generation (THG) and two-photon excited fluorescence (TPEF) microscopy for label-free three-dimensional (3-D) imaging of cell nucleus morphological changes in liver tissue. THG imaging shows regular spherical shapes of normal hepatocytes nuclei with inner chromatin structures while revealing the condensation of chromatins and nuclear fragmentations in hepatocytes of diseased liver tissue. Colocalized THG and TPEF imaging provides complementary information of cell nuclei and cytoplasm in tissue. This work suggests that 3-D THG microscopy has the potential for quantitative analysis of nuclear morphology in cells at a submicron-resolution without the need for DNA staining.
Structural ordering and glass forming of soft spherical particles with harmonic repulsions
Sun, Bin [School of Materials and Chemical Engineering, Zhongyuan University of Technology, Zhengzhou 450007 (China)] [School of Materials and Chemical Engineering, Zhongyuan University of Technology, Zhengzhou 450007 (China); Sun, Zhiwei; Ouyang, Wenze, E-mail: oywz@imech.ac.cn; Xu, Shenghua, E-mail: xush@imech.ac.cn [Key Laboratory of Microgravity (National Microgravity Laboratory), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190 (China)] [Key Laboratory of Microgravity (National Microgravity Laboratory), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190 (China)
2014-04-07T23:59:59.000Z
We carry out dissipative particle dynamics simulations to investigate the dynamic process of phase transformation in the system with harmonic repulsion particles. Just below the melting point, the system undergoes liquid state, face-centered cubic crystallization, body-centered cubic crystallization, and reentrant melting phase transition upon compression, which is in good agreement with the phase diagram constructed previously via thermodynamic integration. However, when the temperature is decreased sufficiently, the system is trapped into an amorphous and frustrated glass state in the region of intermediate density, where the solid phase and crystal structure should be thermodynamically most stable.
The Kuramoto model of coupled oscillators with a bi-harmonic coupling function
M. Komarov; A. Pikovsky
2014-04-29T23:59:59.000Z
We study synchronization in a Kuramoto model of globally coupled phase oscillators with a bi-harmonic coupling function, in the thermodynamic limit of large populations. We develop a method for an analytic solution of self-consistent equations describing uniformly rotating complex order parameters, both for single-branch (one possible state of locked oscillators) and multi-branch (two possible values of locked phases) entrainment. We show that synchronous states coexist with the neutrally linearly stable asynchronous regime. The latter has a finite life time for finite ensembles, this time grows with the ensemble size as a power law.
Harmonic Crystals in the Half-Space, I. Convergence to Equilibrium
T. V. Dudnikova
2009-05-21T23:59:59.000Z
We consider the dynamics of a harmonic crystal in the half-space with zero boundary condition. It is assumed that the initial date is a random function with zero mean, finite mean energy density which also satisfies a mixing condition of Rosenblatt or Ibragimov type. We study the distribution $\\mu_t$ of the solution at time $t\\in\\R$. The main result is the convergence of $\\mu_t$ to a Gaussian measure as $t\\to\\infty$ which is time stationary with a covariance inherited from the initial (in general, non-Gaussian) measure.
Origin of second-harmonic generation enhancement in optical split-ring resonators
Ciracì, Cristian; Scalora, Michael; Smith, David R
2012-01-01T23:59:59.000Z
We present a study of the second-order nonlinear optical properties of metal-based metamaterials. A hydrodynamic model for electronic response is used, in which nonlinear surface contributions are expressed in terms of the bulk polarization. The model is in good agreement with published experimental results, and clarifies the mechanisms contributing to the nonlinear response. In particular, we show that the reported enhancement of second-harmonic in split-ring resonator based media is driven by the electric rather than the magnetic properties of the structure.
Multi-MW 22.8 GHz Harmonic Multiplier - RF Power Source for High-Gradient Accelerator R&D
Jay L. Hirshfield
2012-07-26T23:59:59.000Z
Electrodynamic and particle simulation studies have been carried out to optimize design of a two-cavity harmonic frequency multiplier, in which a linear electron beam is energized by rotating fields near cyclotron resonance in a TE111 cavity in a uniform magnetic field, and in which the beam then radiates coherently at the nth harmonic into a TEn11 output cavity. Examples are worked out in detail for 7th and 2nd harmonic converters, showing RF-to-RF conversion efficiencies of 45% and 88%, respectively at 19.992 GHz (K-band) and 5.712 GHz (C-band), for a drive frequency of 2.856 GHz. Details are shown of RF infrastructure (S-band klystron, modulator) and harmonic converter components (drive cavity, output cavities, electron beam source and modulator, beam collector) for the two harmonic converters to be tested. Details are also given for the two-frequency (S- and C-band) coherent multi-MW test stand for RF breakdown and RF gun studies.
Rittiger, J. [Siemens AG, Erlangen (Germany)] [Siemens AG, Erlangen (Germany); Kulicke, B. [Technische Univ. Berlin (Germany)] [Technische Univ. Berlin (Germany)
1995-10-01T23:59:59.000Z
In order to study the effects of large HVDC converters to the feeding ac networks, it is of importance to explain and to calculate harmonic phenomena which are a result of converter operation. During commissioning of real HVDC converters it could be seen, that harmonics resulting from unsymmetries in the system voltages or from unsymmetries in converter operation led to significant difficulties concerning the system design. For this reason, not only the effects of characteristic but also the effects of noncharacteristic converter harmonics must be taken into account. The aim is to describe the steady state harmonic behavior of the converter. The harmonic spectra are not determined by time domain analysis but instead the solution is found by frequency domain calculations. This can result in reduced calculation time in comparison to conventional fourier analysis of the time functions. The converter is interpreted as an amplitude modulator with voltage and current converter functions which describe the coupling of the dc circuit and the ac network through the converter. To verify the theory, comparison of frequency domain with time domain calculations were carried out.
Roles of poloidal rotation in the q = 1 high-order harmonic tearing modes in a tokamak plasma
Wei Lai; Wang Zhengxiong [Key Laboratory of Materials Modification by Beams of the Ministry of Education, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024 (China)
2013-01-15T23:59:59.000Z
Roles of poloidal rotation in stabilizing the m/n=1/1 kink-tearing mode and exciting its high-order harmonic tearing modes are numerically investigated by using a reduced magnetohydrodynamic model. It is found that the high-order harmonic tearing modes, such as m/n=2/2, m/n=3/3, or even much higher-m harmonics, can be destabilized so significantly by rotation shear as to be more unstable than or comparable to the m/n=1/1 mode. Moreover, the short wave-length Kelvin- Helmholtz (KH) instabilities can be excited in the large rotation shear regime. The scaling power laws of the linear growth rate for each harmonic mode in different rotation shear regimes are verified by the previous relevant theoretical results based on the non-constant-{psi} and constant-{psi} behavior categories in tearing modes. During the nonlinear evolution, the m/n=2/2 mode dominated phase first appears and then is followed by the m/n=1/1 mode dominated nonlinear phase instead. Afterward, some smaller sub-islands due to the high-order harmonics are produced in the large irregular m=1 crescent-shaped island, and then a coalescence process of turbulent island chains occurs before the decay phase.
Zhang, Xiao-Fei, E-mail: xfzhang@ntsc.ac.cn [Key Laboratory of Time and Frequency Primary Standards, National Time Service Center, Chinese Academy of Sciences, Xi’an 710600 (China); Du, Zhi-Jing [Key Laboratory of Time and Frequency Primary Standards, National Time Service Center, Chinese Academy of Sciences, Xi’an 710600 (China); Tan, Ren-Bing [Department of Physics, School of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing 401331 (China); Dong, Rui-Fang; Chang, Hong; Zhang, Shou-Gang [Key Laboratory of Time and Frequency Primary Standards, National Time Service Center, Chinese Academy of Sciences, Xi’an 710600 (China)
2014-07-15T23:59:59.000Z
We consider a pair of coupled nonlinear Schrödinger equations modeling a rotating two-component Bose–Einstein condensate with tunable interactions and harmonic potential, with emphasis on the structure of vortex states by varying the strength of inter-component interaction, rotational frequency, and the aspect ratio of the harmonic potential. Our results show that the inter-component interaction greatly enhances the effect of rotation. For the case of isotropic harmonic potential and small inter-component interaction, the initial vortex structure remains unchanged. As the ratio of inter- to intra-component interactions increases, each component undergoes a transition from a vortex lattice (vortex line) in an isotropic (anisotropic) harmonic potential to an alternatively arranged stripe pattern, and eventually to the interwoven “serpentine” vortex sheets. Moreover, in the case of anisotropic harmonic potential the system can develop to a rotating droplet structure. -- Highlights: •Different vortex structures are obtained within the full parameter space. •Effects of system parameters on the ground state structure are discussed. •Phase transition between different vortex structures is also examined. •Present one possible way to obtain the rotating droplet structure. •Provide many possibilities to manipulate vortex in two-component BEC.
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page onYou are now leaving Energy.gov You are now leaving Energy.gov You are beingZealand Jump to: navigation, searchOf Kilauea Volcano, Hawaii9969995Â°,I Jump to:KumagaiLABORSTALoading...
PARAID: A Gear-Shifting Power-Aware RAID Charles Weddle, Mathew Oldham, Jin Qian, An-I Andy Wang,
Wang, Andy
is a promis- ing energy-reduction approach for such installations. Achieving power savings on commodity server power consumption for server computers is important, since increased energy usage causes in- creased costs. For a typical data center, storage accounts for 27% of energy consumption. Conventional server
Heger, Matthias; Suhm, Martin A.; Mata, Ricardo A., E-mail: rmata@gwdg.de [Georg-August-Universität Göttingen, Institut für Physikalische Chemie, Tammannstr. 6, 37077 Göttingen (Germany)
2014-09-14T23:59:59.000Z
The discrepancy between experimental and harmonically predicted shifts of the OH stretching fundamental of methanol upon hydrogen bonding to a second methanol unit is too large to be blamed mostly on diagonal and off-diagonal anharmonicity corrections. It is shown that a decisive contribution comes from post-MP2 electron correlation effects, which appear not to be captured by any of the popular density functionals. We also identify that the major deficiency is in the description of the donor OH bond. Together with estimates for the electronic and harmonically zero-point corrected dimer binding energies, this work provides essential constraints for a quantitative description of this simple hydrogen bond. The spectroscopic dissociation energy is predicted to be larger than 18 kJ/mol and the harmonic OH-stretching fundamental shifts by about ?121 cm{sup ?1} upon dimerization, somewhat more than in the anharmonic experiment (?111 cm{sup ?1})
Interaction between O{sub 2} and ZnO films probed by time-dependent second-harmonic generation
Andersen, S. V., E-mail: sva@nano.aau.dk [Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven (Netherlands); Department of Physics and Nanotechnology, Aalborg University, Skjernvej 4A, DK-9220 Aalborg Øst (Denmark); Vandalon, V.; Bosch, R. H. E. C.; Loo, B. W. H. van de; Kessels, W. M. M., E-mail: w.m.m.kessels@tue.nl [Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven (Netherlands); Pedersen, K. [Department of Physics and Nanotechnology, Aalborg University, Skjernvej 4A, DK-9220 Aalborg Øst (Denmark)
2014-02-03T23:59:59.000Z
The interaction between O{sub 2} and ZnO thin films prepared by atomic layer deposition has been investigated by time-dependent second-harmonic generation, by probing the electric field induced by adsorbed oxygen molecules on the surface. The second-harmonic generated signal decays upon laser exposure due to two-photon assisted desorption of O{sub 2}. Blocking and unblocking the laser beam for different time intervals reveals the adsorption rate of O{sub 2} onto ZnO. The results demonstrate that electric field induced second-harmonic generation provides a versatile non-contact probe of the adsorption kinetics of molecules on ZnO thin films.
A Proof-of-Principle Echo-enabled Harmonic Generation Free Electron Laser Experiment at SLAC
Pernet, Pierre-Louis; /Ecole Polytechnique, Lausanne /SLAC
2012-01-06T23:59:59.000Z
With the advent of X-ray Free Electron Lasers (FELs), new methods have been developed to extend capabilities at short wavelengths beyond Self-Amplified Spontaneous Emission (SASE). In particular, seeding of a FEL allows for temporal control of the radiation pulse and increases the peak brightness by orders of magnitude. Most recently, Gennady Stupakov and colleagues at SLAC proposed a new technique: Echo-Enabled Harmonic Generation (EEHG). Here a laser microbunches the beam in an undulator and the beam is sheared in a chicane. This process is repeated with a second laser, undulator and chicane. The interplay between these allows a seeding of the X-ray laser up to the 100th harmonic of the first laser. After introducing the physics of FELs and the EEHG seeding technique, we describe contributions to the experimental effort. We will present detailed studies of the experiment including the choice of parameters and their optimization, the emittance effect, spontaneous emission in the undulators, the second laser phase effect, and measurements of the jitter between RF stations. Finally, the status and preliminary results of the Echo-7 experiment will be outlined.
Grids of stellar models including second harmonic and colours: Solar composition
Yildiz, Mutlu
2015-01-01T23:59:59.000Z
Grids of stellar evolution are required in many fields of astronomy/astrophysics, such as planet hosting stars, binaries, clusters, chemically peculiar stars, etc. In this study, a grid of stellar evolution models with updated ingredients and {recently determined solar abundaces} is presented. The solar values for the initial abundances of hydrogen, heavy elements and mixing-length parameter are 0.0172, 0.7024 and 1.98, respectively. The mass step is small enough (0.01 M$_\\odot$) that interpolation for a given star mass is not required. The range of stellar mass is 0.74 to 10.00 M$_\\odot$. We present results in different forms of tables for easy and general application. The second stellar harmonic, required for analysis of apsidal motion of eclipsing binaries, is also listed. We also construct rotating models to determine effect of rotation on stellar structure and derive fitting formula for luminosity, radius and the second stellar harmonic as a function of rotational parameter. We also compute and list colo...
Bertelli, N [PPPL; Jaeger, E F; Hosea, J C; Phillips, C K; Berry, L; Bonoli, P T; Gerhardt, S P [PPPL; Green, D; LeBlanc, B [PPPL; Perkins, R J; Ryan, P M; Taylor, G; Valeo, E J; Wilso, J R; Wright, J C
2014-07-01T23:59:59.000Z
Fast waves at harmonics of the ion cyclotron frequency, which have been used successfully on National Spherical Torus Experiment (NSTX), will also play an important role in ITER and are a promising candidate for the Fusion Nuclear Science Facility (FNSF) designs based on spherical torus (ST). Experimental studies of high harmonic fast waves (HHFW) heating on the NSTX have demonstrated that substantial HHFW power loss occurs along the open field lines in the scrape-off layer (SOL), but the mechanism behind the loss is not yet understood. The full wave RF code AORSA, in which the edge plasma beyond the last closed flux surface (LCFS) is included in the solution domain, is applied to specific NSTX discharges in order to predict the effects and possible causes of this power loss. In the studies discussed here, a collisional damping parameter has been implemented in AORSA as a proxy to represent the real, and most likely nonlinear, damping processes. A prediction for the NSTX Upgrade (NSTX-U) experiment, that will begin operation next year, is also presented, indicating a favorable condition for the experiment due to a wider evanescent region in edge density.*Research supported by the U.S. DOE under Contract No. DE-AC02-09CH11466 with Princeton University.
Parameter Estimation of Gravitational Waves from Precessing BH-NS Inspirals with higher harmonics
R. O'Shaughnessy; B. Farr; E. Ochsner; H. S. Cho; V. Raymond; C. Kim; C. H. Lee
2014-04-11T23:59:59.000Z
Precessing black hole-neutron star (BH-NS) binaries produce a rich gravitational wave signal, encoding the binary's nature and inspiral kinematics. Using the lalinference\\_mcmc Markov-chain Monte Carlo parameter estimation code, we use two fiducial examples to illustrate how the geometry and kinematics are encoded into the modulated gravitational wave signal, using coordinates well-adapted to precession. Even for precessing binaries, we show the performance of detailed parameter estimation can be estimated by "effective" estimates: comparisons of a prototype signal with its nearest neighbors, adopting a fixed sky location and idealized two-detector network. We use detailed and effective approaches to show higher harmonics provide nonzero but small local improvement when estimating the parameters of precessing BH-NS binaries. That said, we show higher harmonics can improve parameter estimation accuracy for precessing binaries ruling out approximately-degenerate source orientations. Our work illustrates quantities gravitational wave measurements can provide, such as reliable component masses and the precise orientation of a precessing short gamma ray burst progenitor relative to the line of sight. "Effective" estimates may provide a simple way to estimate trends in the performance of parameter estimation for generic precessing BH-NS binaries in next-generation detectors. For example, our results suggest that the orbital chirp rate, precession rate, and precession geometry are roughly-independent observables, defining natural variables to organize correlations in the high-dimensional BH-NS binary parameter space.
Extension of harmonic cutoff in a multicycle chirped pulse combined with a chirp-free pulse
Xu Junjie; Zeng Bin; Yu Yongli [State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, P.O. Box 800-211, Shanghai 201800 (China)
2010-11-15T23:59:59.000Z
We demonstrate high-order harmonic generation in a wave form synthesized by a multicycle 800-nm chirped laser pulse and a chirp-free laser pulse. Compared with the case of using only a chirped pulse, both the harmonic cutoff and the extreme ultraviolet supercontinuum can be extended when a weak chirp-free pulse is combined with the chirped pulse. When chirp-free pulse intensity grows, the cutoff energy and bandwidth of the supercontinuum grow as well. It is found that the broad supercontinuum can be achieved for a driving pulse with long duration even though the driving pulse reaches 10 optical cycles. An isolated attosecond pulse with duration of about 59 as is obtained, and after appropriate phase compensation with a duration of about 11 as. In addition, by performing time-frequency analyses and the classical trajectory simulation, the difference in supercontinuum generation between the preceding wave form and a similar wave form synthesized by an 800-nm fundamental pulse and a 1600-nm subharmonic pulse is investigated.
Gaji?, A. [School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11120 Belgrade (Serbia); Telekom Srbija, a.d., Takovska 2, 11000 Belgrade (Serbia); Radovanovi?, J., E-mail: radovanovic@etf.bg.ac.rs; Milanovi?, V. [School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11120 Belgrade (Serbia); Indjin, D.; Ikoni?, Z. [School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT (United Kingdom)
2014-02-07T23:59:59.000Z
A computational model for the optimization of the second order optical nonlinearities in GaInAs/AlInAs quantum cascade laser structures is presented. The set of structure parameters that lead to improved device performance was obtained through the implementation of the Genetic Algorithm. In the following step, the linear and second harmonic generation power were calculated by self-consistently solving the system of rate equations for carriers and photons. This rate equation system included both stimulated and simultaneous double photon absorption processes that occur between the levels relevant for second harmonic generation, and material-dependent effective mass, as well as band nonparabolicity, were taken into account. The developed method is general, in the sense that it can be applied to any higher order effect, which requires the photon density equation to be included. Specifically, we have addressed the optimization of the active region of a double quantum well In{sub 0.53}Ga{sub 0.47}As/Al{sub 0.48}In{sub 0.52}As structure and presented its output characteristics.
Burkhardt, J. J.; Heath, G.; Cohen, E.
2012-04-01T23:59:59.000Z
In reviewing life cycle assessment (LCA) literature of utility-scale concentrating solar power (CSP) systems, this analysis focuses on reducing variability and clarifying the central tendency of published estimates of life cycle greenhouse gas (GHG) emissions through a meta-analytical process called harmonization. From 125 references reviewed, 10 produced 36 independent GHG emissions estimates passing screens for quality and relevance: 19 for parabolic trough (trough) technology and 17 for power tower (tower) technology. The interquartile range (IQR) of published estimates for troughs and towers were 83 and 20 grams of carbon dioxide equivalent per kilowatt-hour (g CO2-eq/kWh),1 respectively; median estimates were 26 and 38 g CO2-eq/kWh for trough and tower, respectively. Two levels of harmonization were applied. Light harmonization reduced variability in published estimates by using consistent values for key parameters pertaining to plant design and performance. The IQR and median were reduced by 87% and 17%, respectively, for troughs. For towers, the IQR and median decreased by 33% and 38%, respectively. Next, five trough LCAs reporting detailed life cycle inventories were identified. The variability and central tendency of their estimates are reduced by 91% and 81%, respectively, after light harmonization. By harmonizing these five estimates to consistent values for global warming intensities of materials and expanding system boundaries to consistently include electricity and auxiliary natural gas combustion, variability is reduced by an additional 32% while central tendency increases by 8%. These harmonized values provide useful starting points for policy makers in evaluating life cycle GHG emissions from CSP projects without the requirement to conduct a full LCA for each new project.
Banerjee, Pratyay; Basu-Mallick, B. [Theory Group, Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700 064 (India)
2011-05-15T23:59:59.000Z
We solve the eigenvalue problem of the D{sub N}-type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation. In particular, we construct the eigenfunctions of this Calogero model from those of bosonic harmonic oscillators having either all even parity or all odd parity. It turns out that the eigenfunctions of this model are orthogonal with respect to a nontrivial inner product, which can be derived from the quasi-Hermiticity property of the corresponding conserved quantities.
Observation of spectral gain narrowing in a high-order harmonic seeded soft-x-ray amplifier
Tissandier, F.; Sebban, S.; Ribiere, M.; Gautier, J.; Zeitoun, Ph.; Lambert, G.; Barszczak Sardinha, A.; Goddet, J.-Ph.; Burgy, F.; Lefrou, T.; Valentin, C.; Rousse, A.; Guilbaud, O.; Klisnick, A.; Nejdl, J.; Mocek, T.; Maynard, G. [Laboratoire d'Optique Appliquee, ENSTA Paristech/Ecole Polytechnique/CNRS UMR 7639, F-91761 Palaiseau Cedex (France); Laboratoire d'Interaction du Rayonnement X Avec la Matiere, Universite Paris Sud/CNRS UMR 8624, F-91495 Orsay Cedex (France); Department of X-ray Lasers, Institute of Physics, Na Slovance 2, CZ-182 21 Prague 8 (Czech Republic); Laboratoire de Physique des Gaz et des Plasmas, Universite Paris Sud/CNRS UMR 8578, F-91405 Orsay Cedex (France)
2010-06-15T23:59:59.000Z
We report an observation of spectral gain narrowing of a high-order harmonic amplified by a soft-x-ray optical-field-ionized plasma. The temporal coherence and spectral linewidth of both the seeded and unseeded soft-x-ray lasers were experimentally measured using a varying-path-difference interferometer. The results showed that the high-order harmonic is subject to a strong spectral narrowing during its propagation in the plasma amplifier without rebroadening at saturation. This is in good agreement with a radiative transfer calculation including gain narrowing and saturation rebroadening.
Mironov, S Yu; Ginzburg, V N; Lozhkarev, V V; Luchinin, G A; Kirsanov, Aleksei V; Yakovlev, I V; Khazanov, Efim A; Shaykin, A A [Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod (Russian Federation)
2011-11-30T23:59:59.000Z
A highly efficient (73%) second-harmonic generation of femtosecond pulses in a 1-mm-thick KDP crystal at a fundamentalharmonic peak intensity of 2 TW cm{sup -2} has been demonstrated experimentally. In a 0.5-mm-thick KDP crystal, a 50% efficiency has been reached at a peak intensity of 3.5 TW cm{sup -2}. We examine the key factors that limit the conversion efficiency and present numerical simulation results on further temporal compression of second-harmonic pulses.
Generation of tunable mid-IR radiation by second harmonic in a CdGeAs{sub 2} crystal
Das, S [Laser Laboratory, Department of Physics, Burdwan University, Burdwan (India)
2012-03-31T23:59:59.000Z
Tunable mid-IR radiation is obtained during second harmonic generation of tunable CO{sub 2}-laser radiation using a CdGeAs{sub 2} crystal. Its angular tuning characteristics at the CO{sub 2}- laser wavelength, angular acceptance angle and spectral acceptance are measured. For second harmonic generation at 10.6 {mu}m, the conversion efficiency in the CdGeAs{sub 2} crystal is 90 times higher than that in the ZnGeP{sub 2} crystal.
Buckley, Sonia; Hatami, Fariba; Vuckovic, Jelena
2012-01-01T23:59:59.000Z
Indistinguishable single photons are necessary for quantum information processing applications. Resonant or quasiresonant excitation of single quantum dots provides greater single photon indistinguishability than incoherent pumping, but is also more challenging experimentally. Here, we demonstrate high signal to noise quasiresonant excitation of InP/InGaP quantum dots. The excitation is provided via second harmonic generated from a telecommunications wavelength laser resonant with the fundamental mode of a photonic crystal cavity, fabricated at twice the quantum dot transition wavelength. The second harmonic is generated using the \\chi(2) nonlinearity of the InGaP material matrix.
Sonia Buckley; Kelley Rivoire; Fariba Hatami; Jelena Vuckovic
2012-10-03T23:59:59.000Z
Indistinguishable single photons are necessary for quantum information processing applications. Resonant or quasiresonant excitation of single quantum dots provides greater single photon indistinguishability than incoherent pumping, but is also more challenging experimentally. Here, we demonstrate high signal to noise quasiresonant excitation of InP/InGaP quantum dots. The excitation is provided via second harmonic generated from a telecommunications wavelength laser resonant with the fundamental mode of a photonic crystal cavity, fabricated at twice the quantum dot transition wavelength. The second harmonic is generated using the \\chi(2) nonlinearity of the InGaP material matrix.
Naumov, A. N.; Zheltikov, A. M.; Fedotov, A. B.; Sidorov-Biryukov, D. A.; Tarasevitch, A. P.; Zhou, Ping; von der Linde, D.
2001-06-01T23:59:59.000Z
High-order harmonic generation in a hollow fiber filled with a weakly ionizing gas is theoretically analyzed within the framework of the slowly varying envelope approximation. The gas pressure that corresponds to maximum efficiency of frequency conversion, the absorption coefficient, the phase mismatch owing to gas dispersion, and the enhancement of harmonic-generation efficiency owing to waveguide phase matching are estimated for 27th-harmonic generation in hollow fibers filled with helium, neon, argon, krypton, or xenon. As a result of the ionization-induced self-phase modulation of the pump pulse in a hollow fiber filled with a weakly ionizing gas, the phase mismatch changes within the pump pulse, decreasing the overall efficiency of harmonic generation and making the harmonic-generation efficiency less sensitive to the gas pressure in the hollow fiber. {copyright} 2001 Optical Society of America
Neural activation within components of verbal working memory following sleep loss
McKenna, Benjamin Scott
2011-01-01T23:59:59.000Z
Sleep, Hartley, A. A. , & Speer, N. K. (2000). Locating andsystem lesions (Hartley & Speer, 2000). However, lesionover time (Hartley & Speer, 2000). Consistent with the
Eisenthal, Kenneth B.
Protonation at the Aqueous Interface of Polymer Nanoparticles with Second Harmonic Generation reaction of the carboxyl (-COOH) functional group fixed at the surface of polystyrene carboxylate (PSC for the PSC colloidal particles, which corresponds to a decrease in the acidity; that is, Ka is a factor of 4
Nabben, Reinhard
-harmonic eddy current model in two dimensions. The first criterion is the robustness with respect Expansions, Eddy- current model AMS subject classifications. 65N30, 35C20, 35J25, 41A60, 35B40, 78M30, 78M35 Introduction. For simulations of the eddy current problem with thin sheets by standard methods, like the finite
Tolbert, Leon M.
Real Time Selective Harmonic Minimization for Multilevel Inverters Connected to Solar Panels Using varying DC input sources. Five 195 W solar panels were used as the DC source for each full bridge cells or solar panels and will consequently bring a voltage unbalance depending on the system dynamics
Fujimoto, Hiroshi
stator windings. Permanent- magnet Concentrated winding 29.3 30.5 55.3 26.0 4.0 d-axis: q-axis: 1-59 #12 a spatial-harmonics based estimation method of rotor position of an IPM motor with concentrated stator windings. The method utilizes voltage command ripples caused by variations of inductance to estimate
So, Hing-Cheung
SPEECH ENHANCEMENT IN CAR NOISE ENVIRONMENT BASED ON AN ANALYSIS- SYNTHESIS APPROACH USING HARMONIC Kong ABSTRACT This paper presents a speech enhancement method based on an analysis-synthesis framework analysis-synthesis based speech enhancement system, and give details in HNM modeling, parameter estimation
Fejer, Martin M.
- optical interactions in the mid UV than lithium niobate (LiNbO3), which is transparent to 330 nm. Second-harmonic generation in periodically poled lithium tantalate J.-P. Meyn* and M. M. Fejer E. L. Ginzton Laboratory of fine-pitch ferroelectric domain gratings in lithium tantalate and character- ization of nonlinear
in a SiOx matrix, with femtosecond laser pulses at 800 nm. A remarkable melting-induced enhancementMelting-Induced Enhancement of the Second-Harmonic Generation from Metal Nanoparticles A. M [3]. While consid- erable efforts have been mainly focused on selection of new materials
Part-per-million gas detection from long-baseline THz spectroscopy S. A. Harmon and R. A. Chevillea)
Part-per-million gas detection from long-baseline THz spectroscopy S. A. Harmon and R. A. Chevillea on a White cell design capable of detecting gas species in the low part-per-million range in near real time length at pressures down to 1 Pa. Both phase sensitive (lock-in) detection and direct signal averaging
Analytic model of bunched beams for harmonic generation in the low-gain free electron laser regime
Wurtele, Jonathan
Analytic model of bunched beams for harmonic generation in the low-gain free electron laser regime employs free electron lasers (FELs) with two undulators: the first uses a seed laser to modulate Many proposed x-ray free electron lasers (FELs) are designed to produce radiation starting from
Popovic, Zoya
High-Efficiency Harmonically-Terminated Rectifier for Wireless Powering Applications Michael Roberg of Colorado, Boulder, CO, 80309-0425 Abstract-In wireless powering, the rectifier efficiency has a large effect on overall system efficiency. This paper presents an approach to high-efficiency microwave
Performance study of a soft X-ray harmonic generation FEL seeded with an EUV laser pulse
Wurtele, Jonathan
Performance study of a soft X-ray harmonic generation FEL seeded with an EUV laser pulse M. Gullans electron laser (FEL) using a low-power extreme ultraviolet (EUV) pulse as an input seed is investigated generation schemes. It is found that, for reasonable beam parameters, robust FEL performance can be obtained
Determination of the effect of harmonics on pipe-type power cable AC/DC resistance ratio
Palmer, J.A.; Degeneff, R.C. (Rensselaer Polytechnic Inst., Troy, NY (United States)); McKernan, T.M.; Halleran, T.M. (Consolidated Edison Co. of NY, Inc., New York (United States))
1993-03-01T23:59:59.000Z
This paper presents a closed form expression to compute the AC/CD resistance ratio of HPFF (High Pressure Fluid Filled) pipe-type cable in the presence of harmonics. Industry currently computes this factor, which is a significant part in assessing the current carrying capacity of a system, with the assumption that the currents are purely sinusoidal at 60 Hz. However, as levels of harmonics increase on power systems, concern for the effect of harmonics on system ampacities rises, and that effect has already been discussed for distribution systems. This paper develops a closed form hybrid of the resistance ratio equations presented by Neher and McGrath, and compares the results with measured data at 60 Hz. At present there is no measured data available for the resistance ratio at higher frequencies, so a two dimensional finite element model is developed to view the effect of frequency on the resistance ratio. A discussion is given on the effect of a specific harmonics scenario on the resistance ratio of a given system, and results are presented for some example systems. The paper also discusses the validity and characteristics of each method.
High-peak-power surface high-harmonic generation at extreme ultra-violet wavelengths from a tape
Shaw, B. H. [Lawrence Berkeley National Lab, Berkeley, California 94720 (United States) [Lawrence Berkeley National Lab, Berkeley, California 94720 (United States); Applied Science and Technology, University of California, Berkeley, California 94720 (United States); Tilborg, J. van; Sokollik, T.; Schroeder, C. B.; McKinney, W. R.; Artemiev, N. A.; Yashchuk, V. V.; Gullikson, E. M. [Lawrence Berkeley National Lab, Berkeley, California 94720 (United States)] [Lawrence Berkeley National Lab, Berkeley, California 94720 (United States); Leemans, W. P. [Lawrence Berkeley National Lab, Berkeley, California 94720 (United States) [Lawrence Berkeley National Lab, Berkeley, California 94720 (United States); Physics Department, University of California, Berkeley, California 94720 (United States)
2013-07-28T23:59:59.000Z
Solid-based surface high-harmonic generation from a tape is experimentally studied. By operating at mildly relativistic normalized laser strengths a{sub 0}?0.2, harmonics up to the 17th order are efficiently produced in the coherent wake emission (CWE) regime. CWE pulse properties, such as divergence, energy, conversion efficiency, and spectrum, are investigated for various tape materials and drive laser conditions. A clear correlation between surface roughness and harmonic beam divergence is found. At the measured pulse properties for the 15th harmonic (conversion efficiency ?6.5×10{sup ?7}, divergence ?7?15 mrad), the 100-mJ-level drive laser produces several MWs of extreme ultra-violet pulses. The spooling tape configuration enables multi-Hz operation over thousands of shots, making this source attractive as a seed to the few-Hz laser-plasma-accelerator-driven free-electron laser (FEL). Models indicate that these CWE pulses with MW level powers are sufficient for seed-induced bunching and FEL gain.
Tolbert, Leon M.
sources (solar cells, fuel cells, the rectified output of wind turbines) to an existing ac power grid of solar cells are dc voltages, and if this energy is to be fed to into an ac power grid, a powerThe Use of Power Sums to Solve the Harmonic Elimination Equations for Multilevel Converters EPE
Tolbert, Leon M.
to the fact that several batteries, fuel cells, solar cell, wind, and microturbines can be connected through Vao Fuel Cell Module a o Fuel Cell Module Fuel Cell Module Q11 D11 Q12 D12 Q13 D13Q14 D14 Q21 Q22 D22Harmonic Optimization of Multilevel Converters Using Genetic Algorithms Abstract-- In this paper
Fridley, David; Lin, Jiang; Denver, Andrea; Biermayer, Peter; Dillavou, Tyler
2005-07-20T23:59:59.000Z
This report examines critical differences among energy-efficient labeling programs for CFLs in Brazil, China, the United States, and the seven members of the international Efficient Lighting Initiative (ELI) in terms of technical specifications and test procedures, and review issues related to international harmonization of these standards.
Sub-Millimetre Wave Sub-Harmonically Pumped Image-Rejection Schottky Mixers for STEAM-R
Sub-Millimetre Wave Sub-Harmonically Pumped Image- Rejection Schottky Mixers for STEAM-R S. P. Rea = 343.5 - 355.5 GHz switch The PREMIER Mission The STEAM-R Instrument PREMIER (PRocess Exploration-sounder (MWLS) on the same satellite platform. The MWLS is the latest iteration of the STEAM-R instrument
A high-order harmonic generation apparatus for time- and angle-resolved photoelectron spectroscopy
Frietsch, B.; Gahl, C.; Teichmann, M.; Weinelt, M. [Freie Universität Berlin, Arnimallee 14, 14195 Berlin (Germany)] [Freie Universität Berlin, Arnimallee 14, 14195 Berlin (Germany); Carley, R. [Freie Universität Berlin, Arnimallee 14, 14195 Berlin (Germany) [Freie Universität Berlin, Arnimallee 14, 14195 Berlin (Germany); Max-Born-Institut, Max-Born-Str. 2a, 12489 Berlin (Germany); Döbrich, K. [Max-Born-Institut, Max-Born-Str. 2a, 12489 Berlin (Germany)] [Max-Born-Institut, Max-Born-Str. 2a, 12489 Berlin (Germany); Schwarzkopf, O.; Wernet, Ph. [Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, Albert-Einstein-Str. 15, 12489 Berlin (Germany)] [Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, Albert-Einstein-Str. 15, 12489 Berlin (Germany)
2013-07-15T23:59:59.000Z
We present a table top setup for time- and angle-resolved photoelectron spectroscopy to investigate band structure dynamics of correlated materials driven far from equilibrium by femtosecond laser pulse excitation. With the electron-phonon equilibration time being in the order of 1–2 ps it is necessary to achieve sub-picosecond time resolution. Few techniques provide both the necessary time and energy resolution to map non-equilibrium states of the band structure. Laser-driven high-order harmonic generation is such a technique. In our experiment, a grating monochromator delivers tunable photon energies up to 40 eV. A photon energy bandwidth of 150 meV and a pulse duration of 100 fs FWHM allow us to cover the k-space necessary to map valence bands at different k{sub z} and detect outer core states.
Cavity-enhanced second harmonic generation via nonlinear-overlap optimization
Lin, Zin; Loncar, Marko; Johnson, Steven G; Rodriguez, Alejandro W
2015-01-01T23:59:59.000Z
We describe an approach based on topology optimization that enables automatic discovery of wavelength-scale photonic structures for achieving high-efficiency second-harmonic generation (SHG). A key distinction from previous formulation and designs that seek to maximize Purcell factors at individual frequencies is that our method not only aims to achieve frequency matching (across an entire octave) and large radiative lifetimes, but also optimizes the equally important nonlinear--coupling figure of merit $\\bar{\\beta}$, involving a complicated spatial overlap-integral between modes. We apply this method to the particular problem of optimizing micropost and grating-slab cavities (one-dimensional multilayered structures) and demonstrate that a variety of material platforms can support modes with the requisite frequencies, large lifetimes $Q \\gtrsim 10^3$, small modal volumes $\\sim (\\lambda/n)^3$, and extremely large $\\bar{\\beta} \\gtrsim 10^{-2}$, orders of magnitude larger than the state of the art.
Kinetic freeze-out, particle spectra and harmonic flow coefficients from mode-by-mode hydrodynamics
Stefan Floerchinger; Urs Achim Wiedemann
2014-08-27T23:59:59.000Z
The kinetic freeze-out for the hydrodynamical description of relativistic heavy ion collisions is discussed using a background-fluctuation splitting of the hydrodynamical fields. For a single event, the particle spectrum, or its logarithm, can be written as the sum of background part that is symmetric with respect to azimuthal rotations and longitudinal boosts and a part containing the contribution of fluctuations or deviations from the background. Using a complete orthonormal basis to characterize the initial state allows one to write the double differential harmonic flow coefficients determined by the two-particle correlation method as matrix expressions involving the initial fluid correlations. We discuss the use of these expressions for a mode-by-mode analysis of fluctuating initial conditions in heavy ion collisions.