Fourier Transform Infrared Spectroscopy
Nizkorodov, Sergey
FTIR - 1 Fourier Transform Infrared Spectroscopy FTIR DETERMINATION OF MTBE IN GASOLINE AND ETHANOL FTIR DETERMINATION OF MTBE IN GASOLINE AND ETHANOL IN VODKA AND MOUTHWASH INTRODUCTION As a part has contained MTBE (methyl tertÂbutyl ether) as its primary oxygenate. However, there has been
High Throughput Operando Studies using Fourier Transform Infrared...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Throughput Operando Studies using Fourier Transform Infrared Imaging and Raman Spectroscopy. High Throughput Operando Studies using Fourier Transform Infrared Imaging and Raman...
Fourier Transform Infrared Spectroscopy for Process Monitoring and Control
Solomon, P. R.; Carangelo, M. D.; Carangelo, R. M.
FOURIER TRANSFORM INFRARED SPECl'ROSCOPY FOR PROCESS MONITORING AND CONTROL Peter R. Solomon Martin D. Carangelo Robert M. Carangelo President Software Engineer Vice-President On-Line Technologies, Inc. On-Line Technologies, Inc. On... years, significant progress has been made in the applications and hardware for Fourier Transform Infrared (Ff?IR) spectroscopy. The applications of Fr-IR include: i) concentrations of multiple species and phases (gases, liquid, particles, surfaces...
Fourier transform infrared emission spectra of MgH and MgD A. Shayesteh and D. R. T. Appadoo
Le Roy, Robert J.
Fourier transform infrared emission spectra of MgH and MgD A. Shayesteh and D. R. T. Appadoo, Ontario, N2L 3G1, Canada Received 9 February 2004; accepted 8 March 2004 High resolution Fourier transform the emission spectrum of the A 2 X 2 transition of MgH using a magnesium hollow cathode discharge and a Fourier
Investigation of infrared Fourier-Transform spectroscopy for oral cancer detection
Cooney, Kevin Michael
1998-01-01T23:59:59.000Z
A system was developed using a Fourier Transform-n spectrometer to investigate spectral differences between malignant, benign and healthy oral tissue in the near-infrared range (2.0-2.5 microns). A hamster model for oral squamous cell carcinoma...
Boyer, Edmond
Study on europium doped hydroxyapatite nanoparticles by Fourier transform infrared spectroscopy were conducted on europium doped hydroxyapatite, Ca10-xEux(PO4)6(OH)2 nanocrystalline powders (Eu demonstrates that the antimicrobial activity of Eu:HAp nanoparticles is dependent on the europium concentration
Toney, M.L.
1999-07-01T23:59:59.000Z
The purpose of this testing program is to obtain uncontrolled and controlled hydrogen chloride (HCl) and speciated hydrocarbon Hazardous Air Pollutants (HAPs) emissions data from lime production plants to support a national emission standard for hazardous air pollutants (NESHAP). This report presents data from the Fourier Transform Infrared Spectroscopy (FTIR) measurements. FTIR source testing was conducted for the following purposes: Quantify HCl emission levels; and Gather screening (i.e., qualitative) data on other HAP emissions.
Hsu, Wei-Chun
A measurement platform is introduced that combines a bilayer cantilever probe with a Fourier transform infrared spectrometer to measure absolute spectral absorptance between wavelengths of 3??m and 18??m directly and ...
Fourier Transform Pairs The Fourier transform transforms a function of
Masci, Frank
Fourier Transform Pairs The Fourier transform transforms a function of time, f(t), into a function of frequency, F(s): F {f(t)}(s) = F(s) = Z - f(t)e- j2st dt. The inverse Fourier transform transforms a func. The inverse Fourier transform of the Fourier trans- form is the identity transform: f(t) = Z - Z - f()e- j2s
Analyzing Signals Fourier transform
Sweldens, Wim
Page 1 1 Analyzing Signals Fourier transform s frequency content s linear combination of sin frequency analysis s windowed Fourier transform 6 #12;Page 4 7 Gabor Transform function to analyze window Gabor Transform Spatial domain Gabor domain b #12;Page 5 9 Gabor Transform Problems s discrete version
Fourier transform channeled spectropolarimetry in the MWIR
Dereniak, Eustace L.
Fourier transform channeled spectropolarimetry in the MWIR Michael W. Kudenov,1 Nathan A. Hagen, 1 Abstract: A complete Fourier Transform Spectropolarimeter in the MWIR is demonstrated. The channeled and links 1. P. Griffiths and J. D. Haseth, "Fourier Transform Infrared Spectrometry," (John Wiley & Sons
Study of the hydrolysis of uranium hexafluoride by Fourier transform infrared spectroscopy
Anderson, S.P.
1982-08-01T23:59:59.000Z
The reaction of uranium hexafluoride with water has been studied by using Fourier transform infrared (FT-IR) spectroscopy. Several different methods for accomplishing this task have been carried out. In addition, interpretatins of the results have been made. These interpretations have been based on literature values for the reactants and for compounds analogous to possible products. It was shown that classical matrix-isolation techniques proved to be unsatisfactory for studying this reaction. Other methods were developed in order to obtain results. They were: (1) the codeposition of pure UF/sub 6/ and H/sub 2/O on a cold window at 16/sup 0/K, (2) the codeposition of argon matrix to sample ratios of 10:1 to 2:1 of UF/sub 6/ and H/sub 2/O at 16/sup 0/K, and (3) the annealing of the samples produced by (1) and (2) while they were being scanned with FT-IR. 78 refs., 86 figs., 7 tabs.
Detection of exposure damage in composite materials using Fourier transform infrared technology.
Roach, Dennis Patrick; Duvall, Randy L.
2010-09-01T23:59:59.000Z
Goal: to detect the subtle changes in laminate composite structures brought about by thermal, chemical, ultraviolet, and moisture exposure. Compare sensitivity of an array of NDI methods, including Fourier Transform Infrared Spectroscopy (FTIR), to detect subtle differences in composite materials due to deterioration. Inspection methods applied: ultrasonic pulse echo, through transmission ultrasonics, thermography, resonance testing, mechanical impedance analysis, eddy current, low frequency bond testing & FTIR. Comparisons between the NDI methods are being used to establish the potential of FTIR to provide the necessary sensitivity to non-visible, yet significant, damage in the resin and fiber matrix of composite structures. Comparison of NDI results with short beam shear tests are being used to relate NDI sensitivity to reduction in structural performance. Chemical analyses technique, which measures the infrared intensity versus wavelength of light reflected on the surface of a structure (chemical and physical information via this signature). Advances in instrumentation have resulted in hand-held portable devices that allow for field use (few seconds per scan). Shows promise for production quality assurance and in-service applications on composite aircraft structures (scarfed repairs). Statistical analysis on frequency spectrums produced by FTIR interrogations are being used to produce an NDI technique for assessing material integrity. Conclusions are: (1) Use of NDI to assess loss of composite laminate integrity brought about by thermal, chemical, ultraviolet, and moisture exposure. (2) Degradation trends between SBS strength and exposure levels (temperature and time) have been established for different materials. (3) Various NDI methods have been applied to evaluate damage and relate this to loss of integrity - PE UT shows greatest sensitivity. (4) FTIR shows promise for damage detection and calibration to predict structural integrity (short beam shear). (5) Detection of damage for medium exposure levels (possibly resin matrix degradation only) is more difficult and requires additional study. (6) These are initial results only - program is continuing with additional heat, UV, chemical and water exposure test specimens.
Degradation of polymer/substrate interfaces an attenuated total reflection Fourier transform degradation of the polymer near the interface. However, such changes were not observed when PVB coated Zn for the observed structural deterioration. Liquid water uptake kinetics for the degraded PVB monitored using ATR
Villa, E.
1999-07-28T23:59:59.000Z
Air samples from F-Canyon effluents were collected at the F-Canyon stack and transported to a laboratory at the Savannah River Technology Center (SRTC) for analysis using a Fourier transform infrared spectrometer in conjunction with a multipath cell. Air samples were collected during the decladding and acid cuts of the dissolution of the irradiated aluminum-cladded slugs. The FTIR analyses of the air samples show the presence of NO2, NO, HNO2, N2O, SF6, and 85Kr during the dissolution cycle. The concentration time profiles of these effluents corresponded with expected release rates from the F-Canyon operations.
FOURIER TRANSFORM MULTIPLE QUANTUM NMR
Drobny, G.
2011-01-01T23:59:59.000Z
of transition observed in Fourier transform multiple quantumDecember 18-19, 1979 FOURIER TRANSFORM MULTIPLE QUANTUM NMRof London, December 1978. FOURIER TRANSFO~~ MULTIPLE QUANTUM
Discrete Fourier Transform Javier Montoya
Giger, Christine
Discrete Fourier Transform Javier Montoya Photogrammetry and Remote Sensing ETH Zurich March 16, 2012 1 Introduction The Discrete form of the Fourier transform is known as Discrete Fourier Transform domain using the Inverse Discrete Fourier Transform (IDFT): f(x) = 1 N N-1 x=0 F(u)ej 2 N ux for u = 0, 1
ContentsContents2424Fourier 1. The Fourier transform
Vickers, James
ContentsContents2424Fourier transforms 1. The Fourier transform 2. Properties of the Fourier Transform 3. Some Special Fourier Transform Pairs Learning outcomes needs doing Time allocation You mathematical topics this time may vary considerably. 1 #12;The Fourier Transform 24.1 Introduction
Lu, H.; Li, J.; Lloyd, W.G. [and others
1995-08-01T23:59:59.000Z
The materials used in this project included two bituminous coals, a medium molecular weight PVC resin, cellulose, and shredded newspaper. Analytical data for the samples are given. A TA Instruments Model 951 Thermogravimetric Analyzer (TG) interfaced to a Perkin Elmer 1650 Fourier Transform Infrared Spectrometer (FTIR) was used in this study. The horizontal quartz furnace of the TG was connected to the 10 cm gas cell of the FTIR using an insulated teflon tube heated to a temperature of 150{degrees}C. The TG was also interfaced to a VG Thermolab Mass Spectrometer (MS) using a fused silica capillary sampling tube heated to approximately 170{degrees}C. A teflon splitter divides the gases from the TG into two parts, one to the FTIR ({approximately}95%), and the other to the MS ({approximately}5%). A schematic of the TG-FTIR-MS system, is presented. In the TG experiments, all samples ({approximately}300 mg each) were heated in air (50 ML/min) at a rate of 10{degrees}C/min to 700{degrees}C. The spectra and profiles of gaseous species evolving from the TG system were recorded and analyzed by the TGA-FTIR-MS analytical system. The results of the experiments are given.
Some Special Fourier Transform Pairs
Vickers, James
Some Special Fourier Transform Pairs 24.3 Introduction ' & $ % Prerequisites Before starting to . . . #12;1. Parseval's Theorem Recall from Unit 2 on Fourier Series that for a periodic signal fT (t) with complex Fourier coefficients cn(n = 0, Â±1, Â±2, . . .) Parseval's Theorem holds: 1 T + T 2 - T 2 f2 T (t
Wavelets and Fourier Transforms, WISM453 Part 1: Fourier Theory
Sleijpen, Gerard
Wavelets and Fourier Transforms, WISM453 Part 1: Fourier Theory G.L.G. Sleijpen Department of Mathematics Utrecht University August 18, 2008 1 #12;i Preface Fourier Theory belongs to the basic who works in such a field should feel comfortable with Fourier transforms. But Fourier The- ory also
An Imaging Fourier Transform Spectrometer for NGST
James R. Graham
1999-07-18T23:59:59.000Z
Due to its simultaneous deep imaging and integral field spectroscopic capability, an Imaging Fourier Transform Spectrograph (IFTS) is ideally suited to the Next Generation Space Telescope (NGST) mission, and offers opportunities for tremendous scientific return in many fields of astrophysical inquiry. We describe the operation and quantify the advantages of an IFTS for space applications. The conceptual design of the Integral Field Infrared Spectrograph (IFIRS) is a wide field (5'.3 x 5'.3) four-port imaging Michelson interferometer.
Fourier transforms of UD integrals
Igor Kondrashuk; Anatoly Kotikov
2008-02-23T23:59:59.000Z
UD integrals published by N. Usyukina and A. Davydychev in 1992-1993 are integrals corresponding to ladder-type Feynman diagrams. The results are UD functions $\\Phi^{(L)},$ where $L$ is the number of loops. They play an important role in N=4 supersymmetic Yang-Mills theory. The integrals were defined and calculated in the momentum space. In this paper the position space representation of UD functions is investigated. We show that Fourier transforms of UD functions are UD functions of space-time intervals but this correspondence is indirect. For example, the Fourier transform of the second UD integral is the second UD integral.
Fourier Transform Quantum State Tomography
Mohammadreza Mohammadi; Agata M. Branczyk; Daniel F. V. James
2013-01-17T23:59:59.000Z
We propose a technique for performing quantum state tomography of photonic polarization-encoded multi-qubit states. Our method uses a single rotating wave plate, a polarizing beam splitter and two photon-counting detectors per photon mode. As the wave plate rotates, the photon counters measure a pseudo-continuous signal which is then Fourier transformed. The density matrix of the state is reconstructed using the relationship between the Fourier coefficients of the signal and the Stokes' parameters that represent the state. The experimental complexity, i.e. different wave plate rotation frequencies, scales linearly with the number of qubits.
Birefringent Fourier-transform imaging spectrometer
Harvey, Andy
Birefringent Fourier-transform imaging spectrometer Andrew Robert Harvey and David William Fletcher.r.Harvey@hw.ac.uk http://www.ece.eps.hw.ac.uk/~arharvey Abstract: Fourier-transform imaging spectrometers offer important, for application in harsh environments, deployment of Fourier-transform instruments based on traditional moving
The Fourier Transform -A Primer Hagit Shatkay
Learned, John
The Fourier Transform - A Primer Hagit Shatkay Department of Computer Science Brown University Providence, Rhode Island 02912 CS-95-37 November 1995 #12;#12;The Fourier Transform { A Primer Hagit Shatkay Department of Computer Science Brown University Providence, RI 02912 1 Introduction The Fourier transform
Lecture 2: Fourier transforms and frequency response
Fan, Xingzhe
Lecture 2: Fourier transforms and frequency response Course at a glance Discrete-time signals and systems Fourier-domain representation DFT/FFT System structures Filter structures Filter design Filter z-transform Sampling and reconstruction System analysis System Fourier transforms and frequency response Frequency
LOCAL FOURIER TRANSFORMS AND RIGIDITY FOR D-MODULES
Bloch, Spencer
LOCAL FOURIER TRANSFORMS AND RIGIDITY FOR D. Local Fourier transforms, analogous to the `-adic local Fourier transforms [14], are constructed infinitesimal rigidity condition is satisfied. As in [12], the argument uses local Fourier transforms
Fourier Transform, Riemann Surfaces and Indefinite Metric
Fominov, Yakov
Fourier Transform, Riemann Surfaces and Indefinite Metric P. G. Grinevich, S.P.Novikov Zakharov Park, College Park, USA #12;What is Fourier Transform in Riemann Surfaces? Which Problems need it? Discrete Analog of The Fourier/Laurent bases in Riemann Sur- faces was constructed by Krichever-Novikov (KN
Tunable fractional-order Fourier transformer
Malyutin, A A [A.M. Prokhorov General Physics Institute, Russian Academy of Sciences, Moscow (Russian Federation)
2006-01-31T23:59:59.000Z
A fractional two-dimensional Fourier transformer whose orders are tuned by means of optical quadrupoles is described. It is shown that in the optical scheme considered, the Fourier-transform order a element of [0,1] in one of the mutually orthogonal planes corresponds to the transform order (2-a) in another plane, i.e., to inversion and inverse Fourier transform of the order a. (laser modes and beams)
Quantum arithmetic with the Quantum Fourier Transform
Lidia Ruiz-Perez; Juan Carlos Garcia-Escartin
2014-11-21T23:59:59.000Z
The Quantum Fourier Transform offers an interesting way to perform arithmetic operations on a quantum computer. We review existing Quantum Fourier Transform adders and multipliers and propose some modifications that extend their capabilities. Among the new circuits, we propose a quantum method to compute the weighted average of a series of inputs in the transform domain.
The Fourier Transform on Quantum Euclidean Space
Kevin Coulembier
2011-05-11T23:59:59.000Z
We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed. The Fourier transforms can be defined by their Bochner's relations and a new type of q-Hankel transforms using the first and second q-Bessel functions. The behavior of the Fourier transforms with respect to partial derivatives and multiplication with variables is studied. The Fourier transform acts between the two representation spaces for the harmonic oscillator on quantum Euclidean space. By using this property it is possible to define a Fourier transform on the entire Hilbert space of the harmonic oscillator, which is its own inverse and satisfies the Parseval theorem.
Fourier-Transform infrared study of weak adsorption of hydrogen on Pt/SiO sub 2
Szilagyi, T. (Institute of Isotopes, Budapest (Hungary))
1990-02-01T23:59:59.000Z
Infrared spectra of weakly bound hydrogen were studied between 300 and 400 K and 1 to 10{sup 5} Pa. A Temkin-type isotherm was found, indicative of surface heterogeneity. Asymmetric infrared band shapes show that several kinds of weakly bonded hydrogen coexist on the surface, having essentially the same kind of bonding but differing slightly in bond strength. The type of interaction between adsorbed hydrogen and carbon monoxide in the surface layer is also discussed.
Fourier transform and related integral transforms in superspace
Hendrik De Bie
2008-05-13T23:59:59.000Z
In this paper extensions of the classical Fourier, fractional Fourier and Radon transforms to superspace are studied. Previously, a Fourier transform in superspace was already studied, but with a different kernel. In this work, the fermionic part of the Fourier kernel has a natural symplectic structure, derived using a Clifford analysis approach. Several basic properties of these three transforms are studied. Using suitable generalizations of the Hermite polynomials to superspace (see [H. De Bie, F. Sommen, Hermite and Gegenbauer polynomials in superspace using Clifford analysis, J. Phys. A 40 (2007) 10441-10456]) an eigenfunction basis for the Fourier transform is constructed.
Tatiana G. Levitskaia; James M. Peterson; Emily L. Campbell; Amanda J. Casella; Dean R. Peterman; Samuel A. Bryan
2013-12-01T23:59:59.000Z
In liquid–liquid extraction separation processes, accumulation of organic solvent degradation products is detrimental to the process robustness, and frequent solvent analysis is warranted. Our research explores the feasibility of online monitoring of the organic solvents relevant to used nuclear fuel reprocessing. This paper describes the first phase of developing a system for monitoring the tributyl phosphate (TBP)/n-dodecane solvent commonly used to separate used nuclear fuel. In this investigation, the effect of extraction of nitric acid from aqueous solutions of variable concentrations on the quantification of TBP and its major degradation product dibutylphosphoric acid (HDBP) was assessed. Fourier transform infrared (FTIR) spectroscopy was used to discriminate between HDBP and TBP in the nitric acid-containing TBP/n-dodecane solvent. Multivariate analysis of the spectral data facilitated the development of regression models for HDBP and TBP quantification in real time, enabling online implementation of the monitoring system. The predictive regression models were validated using TBP/n-dodecane solvent samples subjected to high-dose external ?-irradiation. The predictive models were translated to flow conditions using a hollow fiber FTIR probe installed in a centrifugal contactor extraction apparatus, demonstrating the applicability of the FTIR technique coupled with multivariate analysis for the online monitoring of the organic solvent degradation products.
Levitskaia, Tatiana G.; Peterson, James M.; Campbell, Emily L.; Casella, Amanda J.; Peterman, Dean; Bryan, Samuel A.
2013-11-05T23:59:59.000Z
In liquid-liquid extraction separation processes, accumulation of organic solvent degradation products is detrimental to the process robustness and frequent solvent analysis is warranted. Our research explores feasibility of online monitoring of the organic solvents relevant to used nuclear fuel reprocessing. This paper describes the first phase of developing a system for monitoring the tributyl phosphate (TBP)/n-dodecane solvent commonly used to separate used nuclear fuel. In this investigation, the effect of extraction of nitric acid from aqueous solutions of variable concentrations on the quantification of TBP and its major degradation product dibutyl phosphoric acid (HDBP) was assessed. Fourier Transform Infrared Spectroscopy (FTIR) spectroscopy was used to discriminate between HDBP and TBP in the nitric acid-containing TBP/n-dodecane solvent. Multivariate analysis of the spectral data facilitated the development of regression models for HDBP and TBP quantification in real time, enabling online implementation of the monitoring system. The predictive regression models were validated using TBP/n-dodecane solvent samples subjected to the high dose external gamma irradiation. The predictive models were translated to flow conditions using a hollow fiber FTIR probe installed in a centrifugal contactor extraction apparatus demonstrating the applicability of the FTIR technique coupled with multivariate analysis for the online monitoring of the organic solvent degradation products.
Katsidis, C. C. [Department of Materials Science and Technology, University of Crete, P.O. Box 2208, 71003 Heraklion-Crete (Greece); Ajagunna, A. O.; Georgakilas, A. [Microelectronics Research Group, IESL, FORTH, P.O. Box 1385, 71110 Heraklion-Crete (Greece); Physics Department, University of Crete, P.O. Box 2208, 71003 Heraklion-Crete (Greece)
2013-02-21T23:59:59.000Z
Fourier Transform Infrared (FTIR) reflectance spectroscopy has been implemented as a non-destructive, non-invasive, tool for the optical characterization of a set of c-plane InN single heteroepitaxial layers spanning a wide range of thicknesses (30-2000 nm). The c-plane (0001) InN epilayers were grown by plasma-assisted molecular beam epitaxy (PAMBE) on GaN(0001) buffer layers which had been grown on Al{sub 2}O{sub 3}(0001) substrates. It is shown that for arbitrary multilayers with homogeneous anisotropic layers having their principal axes coincident with the laboratory coordinates, a 2 Multiplication-Sign 2 matrix algebra based on a general transfer-matrix method (GTMM) is adequate to interpret their optical response. Analysis of optical reflectance in the far and mid infrared spectral range has been found capable to discriminate between the bulk, the surface and interface contributions of free carriers in the InN epilayers revealing the existence of electron accumulation layers with carrier concentrations in mid 10{sup 19} cm{sup -3} at both the InN surface and the InN/GaN interface. The spectra could be fitted with a three-layer model, determining the different electron concentration and mobility values of the bulk and of the surface and the interface electron accumulation layers in the InN films. The variation of these values with increasing InN thickness could be also sensitively detected by the optical measurements. The comparison between the optically determined drift mobility and the Hall mobility of the thickest sample reveals a value of r{sub H} = 1.49 for the Hall factor of InN at a carrier concentration of 1.11 Multiplication-Sign 10{sup 19} cm{sup -3} at 300 Degree-Sign {Kappa}.
GENERALIZED FOURIER TRANSFORMATIONS: THE WORK OF BOCHNER AND CARLEMAN
Kiselman, Christer
GENERALIZED FOURIER TRANSFORMATIONS: THE WORK OF BOCHNER AND CARLEMAN-1949) presented gen- eralizations of the Fourier transform of functions defined on the real axis* *. While Bochner's idea was to define the Fourier transform as a (formal) derivative* * of high order
Huang, Yu-Hsuan [Department of Applied Chemistry and Institute of Molecular Science, National Chiao Tung University, Hsinchu 30010, Taiwan (China); Lee, Yuan-Pern, E-mail: yplee@mail.nctu.edu.tw [Department of Applied Chemistry and Institute of Molecular Science, National Chiao Tung University, Hsinchu 30010, Taiwan (China); Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan (China)
2014-10-28T23:59:59.000Z
CH{sub 2}BrOO radicals were produced upon irradiation, with an excimer laser at 248 nm, of a flowing mixture of CH{sub 2}Br{sub 2} and O{sub 2}. A step-scan Fourier-transform spectrometer coupled with a multipass absorption cell was employed to record temporally resolved infrared (IR) absorption spectra of reaction intermediates. Transient absorption with origins at 1276.1, 1088.3, 961.0, and 884.9 cm{sup ?1} are assigned to ?{sub 4} (CH{sub 2}-wagging), ?{sub 6} (O–O stretching), ?{sub 7} (CH{sub 2}-rocking mixed with C–O stretching), and ?{sub 8} (C–O stretching mixed with CH{sub 2}-rocking) modes of syn-CH{sub 2}BrOO, respectively. The assignments were made according to the expected photochemistry and a comparison of observed vibrational wavenumbers, relative IR intensities, and rotational contours with those predicted with the B3LYP/aug-cc-pVTZ method. The rotational contours of ?{sub 7} and ?{sub 8} indicate that hot bands involving the torsional (?{sub 12}) mode are also present, with transitions 7{sub 0}{sup 1}12{sub v}{sup v} and 8{sub 0}{sup 1}12{sub v}{sup v}, v = 1–10. The most intense band (?{sub 4}) of anti-CH{sub 2}BrOO near 1277 cm{sup ?1} might have a small contribution to the observed spectra. Our work provides information for directly probing gaseous CH{sub 2}BrOO with IR spectroscopy, in either the atmosphere or laboratory experiments.
C60 Secondary Ion Fourier Transform Ion Cyclotron Resonance Mass...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
C60 Secondary Ion Fourier Transform Ion Cyclotron Resonance Mass Spectrometry. C60 Secondary Ion Fourier Transform Ion Cyclotron Resonance Mass Spectrometry. Abstract: Secondary...
Optical transformation from chirplet to fractional Fourier transformation kernel
Hong-yi Fan; Li-yun Hu
2009-02-11T23:59:59.000Z
We find a new integration transformation which can convert a chirplet function to fractional Fourier transformation kernel, this new transformation is invertible and obeys Parseval theorem. Under this transformation a new relationship between a phase space function and its Weyl-Wigner quantum correspondence operator is revealed.
LOCAL FOURIER TRANSFORMS AND RIGIDITY FOR SPENCER BLOCH AND H
Bloch, Spencer
LOCAL FOURIER TRANSFORMS AND RIGIDITY FOR D-MODULES SPENCER BLOCH AND H #19; EL #18; ENE ESNAULT To Armand Borel, in memoriam Abstract. Local Fourier transforms, analogous to the `-adic local Fourier if a certain in#12;nitesimal rigidity condition is satis#12;ed. As in [12], the argument uses local Fourier
Fourier Transform Heterodyne Spectroscopy of Liquid Interfaces A thesis presented
Mazur, Eric
Fourier Transform Heterodyne Spectroscopy of Liquid Interfaces A thesis presented by Doo Soo Chung Abstract This thesis describes the application of a novel Fourier transform heterodyne spectroscopy of fluid interfaces 3 1.4 Organization of this thesis 5 2 Fourier Transform Heterodyne Spectroscopy 7 2
MICROMACHINED FOURIER TRANSFORM SPECTROMETER ON SILICON OPTICAL BENCH PLATFORM
Park, Namkyoo
MICROMACHINED FOURIER TRANSFORM SPECTROMETER ON SILICON OPTICAL BENCH PLATFORM Kyoungsik Yu1 a miniaturized Fourier transform spectrometer implemented on a silicon optical bench platform. The optical-etching. A spectral resolution of 45 nm near 1550 nm wavelength is demonstrated. Keywords: Fourier transform
Nonlinear Fourier Analysis The Direct & Inverse Scattering Transforms
Christov, Ivan C.
Nonlinear Fourier Analysis The Direct & Inverse Scattering Transforms for the Kortewegde Vries by ONR/NRL funding. Nonlinear Fourier Analysis p.1/15 #12;Background & Introduction (I) 1895: Korteweg equations known as the Scattering Transform. Nonlinear Fourier Analysis p.2/15 #12;Background
Imaging Fourier transform spectroscopy with multi-aperture telescopes
Fienup, James R.
Imaging Fourier transform spectroscopy with multi-aperture telescopes Samuel T. Thurman and James R Hanover St., Palo Alto, CA 94304 Abstract: Fourier spectroscopy can be performed with multi Society of America OCIS codes: (300.6300) Spectroscopy, Fourier transforms; (110.6770) Telescopes; (120
Quantum Fourier Transform Over Galois Rings
Yong Zhang
2009-04-16T23:59:59.000Z
Galois rings are regarded as "building blocks" of a finite commutative ring with identity. There have been many papers on classical error correction codes over Galois rings published. As an important warm-up before exploring quantum algorithms and quantum error correction codes over Galois rings, we study the quantum Fourier transform (QFT) over Galois rings and prove it can be efficiently preformed on a quantum computer. The properties of the QFT over Galois rings lead to the quantum algorithm for hidden linear structures over Galois rings.
Two-dimensional fourier transform spectrometer
DeFlores, Lauren; Tokmakoff, Andrei
2013-09-03T23:59:59.000Z
The present invention relates to a system and methods for acquiring two-dimensional Fourier transform (2D FT) spectra. Overlap of a collinear pulse pair and probe induce a molecular response which is collected by spectral dispersion of the signal modulated probe beam. Simultaneous collection of the molecular response, pulse timing and characteristics permit real time phasing and rapid acquisition of spectra. Full spectra are acquired as a function of pulse pair timings and numerically transformed to achieve the full frequency-frequency spectrum. This method demonstrates the ability to acquire information on molecular dynamics, couplings and structure in a simple apparatus. Multi-dimensional methods can be used for diagnostic and analytical measurements in the biological, biomedical, and chemical fields.
FPGA FFT(Fast Fourier Transform) 1 FPGA FFT(Fast Fourier Transform)
Jang, Ju-Wook
trade-offs using high-level performance estimation to obtain energy-efficient designs. We implemented Seon-il Choi Gokul Govindu Viktor K. Prasanna ABSTRACT In this paper, we develop energy efficient designs for the Fast Fourier Transform (FFT) on FPGAs. Architectures for FFT on FPGAs are designed
Fourier Cosine and Sine Transform on fractal space
Guang-Sheng Chen
2011-10-21T23:59:59.000Z
In this paper, we establish local fractional Fourier Cosine and Sine Transforms on fractal space, considered some properties of local fractional Cosine and Sine Transforms, show applications of local fractional Fourier Cosine and Sine transform to local fractional equations with local fractional derivative.
Fast Fourier Transform of Sparse Spatial Data to Sparse Fourier Data W. C. Chew* and J.M. Song
Lanterman, Aaron
1 Fast Fourier Transform of Sparse Spatial Data to Sparse Fourier Data W. C. Chew* and J.M. Song of my mother who labored all her life for the next generation.) 1. Introduction Nonuniform Fast Fourier-3]. However, not much has been written on Fourier transforming sparse spatial data where the Fourier transform
On Fourier transforms of radial functions and distributions
Loukas Grafakos; Gerald Teschl
2013-02-18T23:59:59.000Z
We find a formula that relates the Fourier transform of a radial function on $\\mathbf{R}^n$ with the Fourier transform of the same function defined on $\\mathbf{R}^{n+2}$. This formula enables one to explicitly calculate the Fourier transform of any radial function $f(r)$ in any dimension, provided one knows the Fourier transform of the one-dimensional function $t\\to f(|t|)$ and the two-dimensional function $(x_1,x_2)\\to f(|(x_1,x_2)|)$. We prove analogous results for radial tempered distributions.
Quantum mechanical perspectives and generalization of the fractional Fourier Transformation
Jun-Hua Chen; Hong-Yi Fan
2014-08-23T23:59:59.000Z
Fourier and fractional-Fourier transformations are widely used in theoretical physics. In this paper we make quantum perspectives and generalization for the fractional Fourier transformation (FrFT). By virtue of quantum mechanical representation transformation and the method of integration within normal ordered product (IWOP) of operators, we find the key point for composing FrFT, and reveal the structure of FrFT. Following this procedure, a full family of generalized fractional transformations are discovered with the usual FrFT as one special case. The eigen-functions of arbitrary GFrT are derived explicitly.
Hassan, Moinuddin, E-mail: moinuddin.hassan@fda.hhs.gov; Ilev, Ilko [Optical Therapeutics and Medical Nanophotonics Laboratory, Division of Biomedical Physics, Office of Science and Engineering Laboratories, Center for Devices and Radiological Health, U.S. Food and Drug Administration, Silver Spring, Maryland 20993 (United States)
2014-10-15T23:59:59.000Z
Contamination of medical devices has become a critical and prevalent public health safety concern since medical devices are being increasingly used in clinical practices for diagnostics, therapeutics and medical implants. The development of effective sensing methods for real-time detection of pathogenic contamination is needed to prevent and reduce the spread of infections to patients and the healthcare community. In this study, a hollow-core fiber-optic Fourier transform infrared spectroscopy methodology employing a grazing incidence angle based sensing approach (FO-FTIR-GIA) was developed for detection of various biochemical contaminants on medical device surfaces. We demonstrated the sensitivity of FO-FTIR-GIA sensing approach for non-contact and label-free detection of contaminants such as lipopolysaccharide from various surface materials relevant to medical device. The proposed sensing system can detect at a minimum loading concentration of approximately 0.7 ?g/cm{sup 2}. The FO-FTIR-GIA has the potential for the detection of unwanted pathogen in real time.
American Society for Testing and Materials. Philadelphia
2004-01-01T23:59:59.000Z
1.1 This test method covers determining the concentrations of refrigerant-114, other carbon-containing and fluorine-containing compounds, hydrocarbons, and partially or completely substituted halohydrocarbons that may be impurities in uranium hexafluoride. The two options are outlined for this test method. They are designated as Part A and Part B. 1.1.1 To provide instructions for performing Fourier-Transform Infrared (FTIR) spectroscopic analysis for the possible presence of Refrigerant-114 impurity in a gaseous sample of uranium hexafluoride, collected in a "2S" container or equivalent at room temperature. The all gas procedure applies to the analysis of possible Refrigerant-114 impurity in uranium hexafluoride, and to the gas manifold system used for FTIR applications. The pressure and temperatures must be controlled to maintain a gaseous sample. The concentration units are in mole percent. This is Part A. 1.2 Part B involves a high pressure liquid sample of uranium hexafluoride. This method can be appli...
Hussain, Z.
2013-01-01T23:59:59.000Z
Physical Review Letters FOURIER-TRANSFORM ANALYSIS OF NORMAL0 eV. (b) Magnitude of the Fourier transform IF(r)l accord·3. l.94A and V 5 eV. Fourier-transform derived distances ZF
Hussain, Z.
2013-01-01T23:59:59.000Z
Academy of Sciences USA FOURIER-TRANSFORM ANALYSIS OF NORMALeV. (b) Magnitude of the Fourier transform IF(r)l accordingV 0 = 5 eV. Figure 3. Fourier-transform derived distances ZF
Compact hot-nozzle fourier-transform microwave spectormeter
Harmony, Marlin D.; Ratzlaff, Kenneth L.; Angst, D. M.; Beren, K. A.
1995-11-01T23:59:59.000Z
A newly constructed pulsed nozzle, Fourier-transform microwave spectrometer utilizes a Fabry-Perot cavity consisting of spherical resonators having diameters of only 10 cm. Tests of this very compact-cavity system show ...
arithmetic fourier transform: Topics by E-print Network
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
In this way the two-bit gates in the Fourier transform can all be replaced by a smaller number of one-bit gates controlled by classical signals. Success in simplifying the...
The Fourier-Mukai Transform in String Theory
Bjorn Andreas
2005-05-30T23:59:59.000Z
The article surveys aspects of the Fourier-Mukai transform, its relative version and some of its applications in string theory. To appear in Encyclopedia of Mathematical Physics, published by Elsevier in early 2006. Comments/corrections welcome.
Quantum Fourier transform and tomographic Renyi entropic inequalities
M. A. Man'ko; V. I. Man'ko
2009-02-25T23:59:59.000Z
Renyi entropy associated with spin tomograms of quantum states is shown to obey to new inequalities containing the dependence on quantum Fourier transform. The limiting inequality for the von Neumann entropy of spin quantum states and a new kind of entropy associated with quantum Fourier transform are obtained. Possible connections with subadditivity and strong subadditivity conditions for tomographic entropies and von Neumann entropies are discussed.
Linear Response Theory 15.0.6 Fourier Transform
Palffy-Muhoray, Peter
Chapter 15 Linear Response Theory 15.0.6 Fourier Transform A function of time f(t) which transform of f(t). Note that if f(t) = (t) such that (t)dt = 1, then F() = 1 2 , and (t) = 1 2 - eit d 85 #12;86 CHAPTER 15. LINEAR RESPONSE THEORY 15.0.7 Convolution Consider f(t) with transform F() and h
Liquid chromatography/Fourier transform IR spectrometry interface flow cell
Johnson, Charles C. (Fairfield, OH); Taylor, Larry T. (Blacksburg, VA)
1986-01-01T23:59:59.000Z
A zero dead volume (ZDV) microbore high performance liquid chromatography (.mu.HPLC)/Fourier transform infrared (FTIR) interface flow cell includes an IR transparent crystal having a small diameter bore therein through which a sample liquid is passed. The interface flow cell further includes a metal holder in combination with a pair of inner, compressible seals for directly coupling the thus configured spectrometric flow cell to the outlet of a .mu.HPLC column end fitting to minimize the transfer volume of the effluents exiting the .mu.HPLC column which exhibit excellent flow characteristics due to the essentially unencumbered, open-flow design. The IR beam passes transverse to the sample flow through the circular bore within the IR transparent crystal, which is preferably comprised of potassium bromide (KBr) or calcium fluoride (CaF.sub.2), so as to minimize interference patterns and vignetting encountered in conventional parallel-plate IR cells. The long IR beam pathlength and lensing effect of the circular cross-section of the sample volume in combination with the refractive index differences between the solvent and the transparent crystal serve to focus the IR beam in enhancing sample detection sensitivity by an order of magnitude.
Liquid chromatography/Fourier transform IR spectrometry interface flow cell
Johnson, C.C.; Taylor, L.T.
1985-01-04T23:59:59.000Z
A zero dead volume (ZDV) microbore high performance liquid chromatography (..mu.. HPLC)/Fourier transform infrared (FTIR) interface flow cell includes an IR transparent crystal having a small diameter bore therein through which a sample liquid is passed. The interface flow cell further includes a metal holder in combination with a pair of inner, compressible seals for directly coupling the thus configured spectrometric flow cell to the outlet of a ..mu.. HPLC column end fitting to minimize the transfer volume of the effluents exiting the ..mu.. HPLC column which exhibit excellent flow characteristics due to the essentially unencumbered, open-flow design. The IR beam passes transverse to the sample flow through the circular bore within the IR transparent crystal, which is preferably comprised of potassium bromide (KBr) or calcium fluoride (CaF/sub 2/), so as to minimize interference patterns and vignetting encountered in conventional parallel-plate IR cells. The long IR beam pathlength and lensing effect of the circular cross-section of the sample volume in combination with the refractive index differences between the solvent and the transparent crystal serve to focus the IR beam in enhancing sample detection sensitivity by an order of magnitude.
An Imaging Fourier Transform Spectrometer for the Next Generation Space Telescope
James R. Graham
1999-10-25T23:59:59.000Z
Due to its simultaneous deep imaging and integral field spectroscopic capability, an Imaging Fourier Transform Spectrograph (IFTS) is ideally suited to the Next Generation Space Telescope (NGST) mission, and offers opportunities for tremendous scientific return in many fields of astrophysical inquiry. We describe the operation and quantify the advantages of an IFTS for space applications. The conceptual design of the Integral Field Infrared Spectrograph (IFIRS) is a wide field (5'.3 x 5'.3) four-port imaging Michelson interferometer.
Cauchy transforms of measures viewed as some functionals of Fourier transforms #
Jurek, Zbigniew J.
Cauchy transforms of measures viewed as some functionals of Fourier transforms # Zbigniew J. Jurek Urbanik ABSTRACT. The Cauchy transform of a positive measure plays an impor tant role in complex analysis and more recently in socalled free probability. We show here that the Cauchy transform restricted
Cauchy transforms of measures viewed as some functionals of Fourier transforms
Jurek, Zbigniew J.
Cauchy transforms of measures viewed as some functionals of Fourier transforms Zbigniew J. Jurek Urbanik ABSTRACT. The Cauchy transform of a positive measure plays an impor- tant role in complex analysis and more recently in so-called free probability. We show here that the Cauchy transform restricted
Lensless Fourier-Transform Ghost Imaging with Classical Incoherent Light
Minghui Zhang; Qing Wei; Xia Shen; Yongfeng Liu; Honglin Liu; Jing Cheng; Shensheng Han
2006-05-22T23:59:59.000Z
The Fourier-Transform ghost imaging of both amplitude-only and pure-phase objects was experimentally observed with classical incoherent light at Fresnel distance by a new lensless scheme. The experimental results are in good agreement with the standard Fourier-transform of the corresponding objects. This scheme provides a new route towards aberration-free diffraction-limited 3D images with classically incoherent thermal light, which have no resolution and depth-of-field limitations of lens-based tomographic systems.
Fourier-transform and global contrast interferometer alignment methods
Goldberg, Kenneth A. (Berkeley, CA)
2001-01-01T23:59:59.000Z
Interferometric methods are presented to facilitate alignment of image-plane components within an interferometer and for the magnified viewing of interferometer masks in situ. Fourier-transforms are performed on intensity patterns that are detected with the interferometer and are used to calculate pseudo-images of the electric field in the image plane of the test optic where the critical alignment of various components is being performed. Fine alignment is aided by the introduction and optimization of a global contrast parameter that is easily calculated from the Fourier-transform.
Ng, Chung-Sang
PHYS 301 -- Introduction to Mathematical Physics Chapter 7 Fourier Series and Transforms (Section (Bessel's inequality). (iii) Fourier transforms can be thought of Fourier series in a limit when in most physical situations are non-periodic. (iv) Parseval's Theorem can be applied to Fourier transforms
Physics 343 Lecture # 5: Sun, Stars, and Planets; Fourier Transforms
Baker, Andrew J.
Physics 343 Lecture # 5: Sun, Stars, and Planets; Fourier Transforms #12; Schedule mydata.rad :2012:050:16:30:00 : freq 1418 1 : Sun : offset 20 0 :30 : Sun : npoint : offset 0 0 :60 ... this order records useless data should be combined as ": Sun n" overwrites offsets from pointing #12;February
Cavity QED implementation of the discrete quantum Fourier transform
Scully, Marlan O.; Zubairy, M. Suhail
2002-01-01T23:59:59.000Z
!, p. 124; SIAM J. Comput. 26, 1484 ~1997!. @2# I. L. Chuang, N. Gershenfeld, and M. Kubinec, Phys. Rev. Lett. 80, 3408 ~1998!; J. A. Jones, M. Mosca, and R. H. 052324- followed by a passage through a classical field resonant with ua1&?ub... and classical field Fourier transform of the input state. DOI: 10.1103/PhysRevA.65.052324 A dramatic example of the potential applications of a quantum computer is the factorization of a composite num- ber via Shor?s algorithm, and the quantum Fourier...
Ground-Based Demonstration of Imaging Fourier Transform Spectrometry and Techniques
Wurtz, R; Cook,K H; Bennett, C L; Bixler, J; Carr, D; Wishnow, E H
1999-10-26T23:59:59.000Z
We present results from a four-port Michelson interferometer built to demonstrate imaging Fourier transform spectroscopy for astronomical applications.
Giurgiutiu, Victor
Title: Crack Diagnostics via Fourier Transform: Real and Imaginary Components vs. Power Spectral simultaneously the real and imaginary components of the Fourier transforms as diagnostics features approach consists of using new features based on the real and imaginary parts of the Fourier transform
Polar Fourier transforms of radially sampled NMR data Brian E. Coggins, Pei Zhou *
Richardson, David
Polar Fourier transforms of radially sampled NMR data Brian E. Coggins, Pei Zhou * Department directly using Fourier transforms in polar coordinates. We present a comprehensive theoretical analysis of the discrete polar Fourier transform, and derive the consequences of its application to radially sampled data
Fourier transform of the 3d NS equations The 3d NS equations are
Salmon, Rick
1 Fourier transform of the 3d NS equations The 3d NS equations are (1) vi t + vj vi xj = - p xi easily add it in at the end. Our interest is in the advection and pressure terms. Introducing the Fourier transforms (2) vi x( ) = ui k( )eikx k p x( ) = p k( )eikx k we obtain the Fourier transform of (1
Apparatus and methods for continuous beam fourier transform mass spectrometry
McLuckey, Scott A. (Oak Ridge, TN); Goeringer, Douglas E. (Oak Ridge, TN)
2002-01-01T23:59:59.000Z
A continuous beam Fourier transform mass spectrometer in which a sample of ions to be analyzed is trapped in a trapping field, and the ions in the range of the mass-to-charge ratios to be analyzed are excited at their characteristic frequencies of motion by a continuous excitation signal. The excited ions in resonant motions generate real or image currents continuously which can be detected and processed to provide a mass spectrum.
EE261 The Fourier Transform and its Applications Syllabus and Schedule
Holub, Stepan
EE261 The Fourier Transform and its Applications Fall 2007 Syllabus and Schedule The following before coming to class. September 24 Introductions Periodicity and Fourier series (Sections 1.1 Â 1.4) September 26 Fourier series and orthogonality Prob Set 1 handed out September 28 Fourier series, continued
Fast Fourier Transform Notes 18.310, Fall 2005, Prof. Peter Shor
Shor, Peter W.
Fast Fourier Transform Notes 18.310, Fall 2005, Prof. Peter Shor 1 Introduction: Fourier Series Early in the Nineteenth century, Fourier studied sound and oscillatory motion and conceived of the idea the ordinary y = f(x) description of the shape of the string. This kind of representation is called a Fourier
Measured Quantum Fourier Transform of 1024 Qubits on Fiber Optics
Akihisa Tomita; Kazuo Nakamura
2004-01-19T23:59:59.000Z
Quantum Fourier transform (QFT) is a key function to realize quantum computers. A QFT followed by measurement was demonstrated on a simple circuit based on fiber-optics. The QFT was shown to be robust against imperfections in the rotation gate. Error probability was estimated to be 0.01 per qubit, which corresponded to error-free operation on 100 qubits. The error probability can be further reduced by taking the majority of the accumulated results. The reduction of error probability resulted in a successful QFT demonstration on 1024 qubits.
Denoise in the pseudopolar grid Fourier space using exact inverse pseudopolar Fourier transform
Wei, Fan Jun
2015-01-01T23:59:59.000Z
In this paper I show a matrix method to calculate the exact inverse pseudopolar grid Fourier transform, and use this transform to do noise removals in the k space of pseudopolar grids. I apply the Gaussian filter to this pseudopolar grid and find the advantages of the noise removals are very excellent by using pseudopolar grid, and finally I show the Cartesian grid denoise for comparisons. The results present the signal to noise ratio and the variance are much better when doing noise removals in the pseudopolar grid than the Cartesian grid. The noise removals of pseudopolar grid or Cartesian grid are both in the k space, and all these noises are added in the real space.
Fourier Transform Luminescence Spectroscopy of Semiconductor Thin Films and Devices
Webb, J. D.; Keyes, B. M.; Ahrenkiel, R. K.; Wanlass, M. W.; Ramanathan, K.; Gedvilas, L. M.; Olson, M. R.; Dippo, P.; Jones, K. M.
1999-07-12T23:59:59.000Z
We have been successful in adapting Fourier transform (FT) Raman accessories and spectrophotometers for sensitive measurements of the photoluminescence (PL) spectra of photovoltaic materials and devices. In many cases, the sensitivity of the FT technique allows rapid room-temperature measurements of weak luminescence spectra that cannot be observed using dispersive PL spectrophotometers. We present here the results of a number of studies of material and device quality obtained using FT-luminescence spectroscopy, including insights into bandgap variations, defect and impurity effects, and relative recombination rates. We also describe our approach to extending the range of the FT-Raman spectrophotometer to cover the region from 11,500 to 3700 cm-1, enabling FT-luminescence measurements to be made from 1.42 to 0.46 eV, and our investigation of FT-PL microspectroscopy.
Universal calculation formula and calibration method in Fourier transform profilometry
Wen Yongfu; Li Sikun; Cheng Haobo; Su Xianyu; Zhang Qican
2010-12-01T23:59:59.000Z
We propose a universal calculation formula of Fourier transform profilometry and give a strict theoretical analysis about the phase-height mapping relation. As the request on the experimental setup of the universal calculation formula is unconfined, the projector and the camera can be located arbitrarily to get better fringe information, which makes the operation flexible. The phase-height calibration method under the universal condition is proposed, which can avoid measuring the system parameters directly. It makes the system easy to manipulate and improves the measurement velocity. A computer simulation and experiment are conducted to verify its validity. The calculation formula and calibration method have been applied to measure an object of 22.00 mm maximal height. The relative error of the measurement result is only 0.59%. The experimental results prove that the three-dimensional shape of tested objects can be reconstructed exactly by using the calculation formula and calibration method, and the system has better universality.
Sampling Theorem and Discrete Fourier Transform on the Riemann Sphere
Manuel Calixto; Julio Guerrero; Juan Carlos Sánchez-Monreal
2011-09-09T23:59:59.000Z
Using coherent-state techniques, we prove a sampling theorem for Majorana's (holomorphic) functions on the Riemann sphere and we provide an exact reconstruction formula as a convolution product of $N$ samples and a given reconstruction kernel (a sinc-type function). We also discuss the effect of over- and under-sampling. Sample points are roots of unity, a fact which allows explicit inversion formulas for resolution and overlapping kernel operators through the theory of Circulant Matrices and Rectangular Fourier Matrices. The case of band-limited functions on the Riemann sphere, with spins up to $J$, is also considered. The connection with the standard Euler angle picture, in terms of spherical harmonics, is established through a discrete Bargmann transform.
Decay of the Fourier transform of surfaces with vanishing curvature
Laszlo Erdos; Manfred Salmhofer
2006-04-18T23:59:59.000Z
We prove $L^p$-bounds on the Fourier transform of measures $\\mu$ supported on two dimensional surfaces. Our method allows to consider surfaces whose Gauss curvature vanishes on a one-dimensional submanifold. Under a certain non-degeneracy condition, we prove that $\\wh\\mu\\in L^{4+\\beta}$, $\\beta>0$, and we give a logarithmically divergent bound on the $L^4$-norm. We use this latter bound to estimate almost singular integrals involving the dispersion relation, $e(p)= \\sum_1^3 [1-\\cos p_j]$, of the discrete Laplace operator on the cubic lattice. We briefly explain our motivation for this bound originating in the theory of random Schr\\"odinger operators.
On the Fourier Transform Approach to Quantum Error Control
Hari Dilip Kumar
2012-08-24T23:59:59.000Z
Quantum codes are subspaces of the state space of a quantum system that are used to protect quantum information. Some common classes of quantum codes are stabilizer (or additive) codes, non-stabilizer (or non-additive) codes obtained from stabilizer codes, and Clifford codes. These are analyzed in a framework using the Fourier transform on finite groups, the finite group in question being a subgroup of the quantum error group considered. All the classes of codes that can be obtained in this framework are explored, including codes more general than Clifford codes. The error detection properties of one of these more general classes ("direct sums of translates of Clifford codes") are characterized. Examples codes are constructed, and computer code search results presented and analysed.
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.
Cohen, Ronald C.
Fourier transform microwave spectrum of the propane-water complex: A prototypical water) The Fourier transform microwave spectrum of the propane-water complex (C3H,-H,O) has been observed and analyzed. This spectrum includes transitions assigned to propane complexed with both the ortho and para
Computer Generation of Fast Fourier Transforms for the Cell Broadband Engine
Franchetti, Franz
, however, requires that the pro- grammer performs all memory and inter-core data movement oper- ationsComputer Generation of Fast Fourier Transforms for the Cell Broadband Engine Srinivas Chellappa, streaming, and vectorization. We address this prob- lem for the discrete Fourier transform (DFT
The use of Fourier reverse transforms in crystallographic phase refinement
Ringrose, S.
1997-10-08T23:59:59.000Z
Often a crystallographer obtains an electron density map which shows only part of the structure. In such cases, the phasing of the trial model is poor enough that the electron density map may show peaks in some of the atomic positions, but other atomic positions are not visible. There may also be extraneous peaks present which are not due to atomic positions. A method for determination of crystal structures that have resisted solution through normal crystallographic methods has been developed. PHASER is a series of FORTRAN programs which aids in the structure solution of poorly phased electron density maps by refining the crystallographic phases. It facilitates the refinement of such poorly phased electron density maps for difficult structures which might otherwise not be solvable. The trial model, which serves as the starting point for the phase refinement, may be acquired by several routes such as direct methods or Patterson methods. Modifications are made to the reverse transform process based on several assumptions. First, the starting electron density map is modified based on the fact that physically the electron density map must be non-negative at all points. In practice a small positive cutoff is used. A reverse Fourier transform is computed based on the modified electron density map. Secondly, the authors assume that a better electron density map will result by using the observed magnitudes of the structure factors combined with the phases calculated in the reverse transform. After convergence has been reached, more atomic positions and less extraneous peaks are observed in the refined electron density map. The starting model need not be very large to achieve success with PHASER; successful phase refinement has been achieved with a starting model that consists of only 5% of the total scattering power of the full molecule. The second part of the thesis discusses three crystal structure determinations.
Maskelynite formation via solid-state transformation: Evidence of infrared and x-ray anisotropy
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Jaret, Steven J.; Ehm, Lars; Woerner, William R.; Phillips, Brian L.; Nekvasil, Hanna; Wright, Shawn P.; Glotch, Timothy D.
2015-03-01T23:59:59.000Z
We present optical microscopy, micro-Raman spectroscopy, nuclear magnetic resonance (NMR) spectroscopy, high-energy X-ray total scattering experiments, and micro-Fourier transform infrared (micro-FTIR) spectroscopy on shocked labradorite from the Lonar Crater, India. We show that maskelynite of shock class 2 is structurally more similar to fused glass than to crystalline plagioclase. However, there are slight but significant differences – preservation of original pre-impact igneous zoning, anisotropy at Infrared wavelengths, X-ray anisotropy, and preservation of some intermediate range order – which are all consistent with a solid-state transformation formation of maskelynite.
Single beam Fourier transform digital holographic quantitative phase microscopy
Anand, A., E-mail: arun-nair-in@yahoo.com; Chhaniwal, V. K.; Mahajan, S.; Trivedi, V. [Optics Laboratory, Applied Physics Department, Faculty of Technology and Engineering, M.S. University of Baroda, Vadodara 390001 (India)] [Optics Laboratory, Applied Physics Department, Faculty of Technology and Engineering, M.S. University of Baroda, Vadodara 390001 (India); Faridian, A.; Pedrini, G.; Osten, W. [Institut für Technische Optik, Universität Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart (Germany)] [Institut für Technische Optik, Universität Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart (Germany); Dubey, S. K. [Siemens Technology and Services Pvt. Ltd, Corporate Technology—Research and Technology Centre, Bangalore 560100 (India)] [Siemens Technology and Services Pvt. Ltd, Corporate Technology—Research and Technology Centre, Bangalore 560100 (India); Javidi, B. [Department of Electrical and Computer Engineering, U-4157, University of Connecticut, Storrs, Connecticut 06269-2157 (United States)] [Department of Electrical and Computer Engineering, U-4157, University of Connecticut, Storrs, Connecticut 06269-2157 (United States)
2014-03-10T23:59:59.000Z
Quantitative phase contrast microscopy reveals thickness or height information of a biological or technical micro-object under investigation. The information obtained from this process provides a means to study their dynamics. Digital holographic (DH) microscopy is one of the most used, state of the art single-shot quantitative techniques for three dimensional imaging of living cells. Conventional off axis DH microscopy directly provides phase contrast images of the objects. However, this process requires two separate beams and their ratio adjustment for high contrast interference fringes. Also the use of two separate beams may make the system more vulnerable to vibrations. Single beam techniques can overcome these hurdles while remaining compact as well. Here, we describe the development of a single beam DH microscope providing whole field imaging of micro-objects. A hologram of the magnified object projected on to a diffuser co-located with a pinhole is recorded with the use of a commercially available diode laser and an arrayed sensor. A Fourier transform of the recorded hologram directly yields the complex amplitude at the image plane. The method proposed was investigated using various phase objects. It was also used to image the dynamics of human red blood cells in which sub-micrometer level thickness variation were measurable.
Signal Processing:Fourier Signal Processing:Fourier
Rimon, Elon
Signal Processing:Fourier #12;Signal Processing:Fourier Fourier methods · Continous signals FS Fourier Series : Periodic FT (Integral) Fourier Transform: Transients (aperiodic) ·Discrete (sampled) signals DFS Discrete Fourier Series DFT Discrete Fourier Transform #12;Signal Processing:Fourier #12
Ghosh, Sandip
Application of a Fourier transform based filtering technique to improve signal-to-noise ratio of a fast Fourier transform FFT based simplified filtering procedure to improve S/N ratio, thereby enabling) is the Fourier transform of the above data. The frequency scale has been normalized with respect to the Nyquist
Franchetti, Franz
Fast Fourier Transform on FPGA: Design Choices and Evaluation Peter A. Milder, Franz Franchetti University Pittsburgh, PA, U.S.A. {pam, franzf, jhoe, pueschel}@ece.cmu.edu The discrete Fourier transform algorithms for computing the DFT, called fast Fourier transforms (FFTs), exhibit concurrency and regularity
Momentum-space Lippmann-Schwinger-Equation, Fourier-transform with Gauss-Expansion-Method
Th. A. Rijken
2014-09-19T23:59:59.000Z
In these notes we construct the momentum-space potentials from configuration-space using for the Fourier-transformation the Gaussian-Expansion-Method (GEM). This has the advantage that the Fourier-Bessel integrals can be performed analytically, avoiding possible problems with the oscillations in the Bessel functions for large r, in particular for $p_f \
Scale invariance and efficient classical simulation of the quantum Fourier transform
Kieran J. Woolfe; Charles D. Hill; Lloyd C. L. Hollenberg
2014-06-04T23:59:59.000Z
We provide numerical evidence that the quantum Fourier transform can be efficiently represented in a matrix product operator with a size growing relatively slowly with the number of qubits. Additionally, we numerically show that the tensors in the operator converge to a common tensor as the number of qubits in the transform increases. Together these results imply that the application of the quantum Fourier transform to a matrix product state with $n$ qubits of maximum Schmidt rank $\\chi$ can be simulated in $O(n (log(n))^2 \\chi^2)$ time. We perform such simulations and quantify the error involved in representing the transform as a matrix product operator and simulating the quantum Fourier transform of periodic states.
Fuzzy Clustering in the Analysis of Fourier Transform Infrared Spectra
Aickelin, Uwe
.........................................................................................................74 #12;Table of Contents ii 4 A Comparison of Hierarchical, K-Means and Fuzzy C-Means Clustering..........................................................................................121 6.4 Comparison of K-Means and Fuzzy C-Mean
Asphalt roofing industry Fourier transform infrared spectroscopy modified bitumen
NONE
1999-07-01T23:59:59.000Z
A Request for Emissions Testing at Four Asphalt Roofing and Processing Facilities was submitted by the US EPA Emission Standards Division (ESD), Minerals and Inorganic Chemicals Group (MICG) to the Emission Measurement Center (EMC). The Emission Measurement Center directed Midwest Research Institute (MRI) to conduct emissions testing at asphalt roofing plants. This report presents results of MRI`s FTIR and Method 25A testing conducted at US Intec in Port Arthur, Texas. The field measurements were performed in September 1997 under several test conditions for both controlled and uncontrolled emissions.
Fast Fourier and Wavelet Transforms for Wavefront Reconstruction in Adaptive Optics
Dowla, F U; Brase, J M; Olivier, S S
2000-07-28T23:59:59.000Z
Wavefront reconstruction techniques using the least-squares estimators are computationally quite expensive. We compare wavelet and Fourier transforms techniques in addressing the computation issues of wavefront reconstruction in adaptive optics. It is shown that because the Fourier approach is not simply a numerical approximation technique unlike the wavelet method, the Fourier approach might have advantages in terms of numerical accuracy. However, strictly from a numerical computations viewpoint, the wavelet approximation method might have advantage in terms of speed. To optimize the wavelet method, a statistical study might be necessary to use the best basis functions or ''approximation tree.''
Fast transform from an adaptive multi-wavelet representation to a partial Fourier representation
Jia, Jun [ORNL; Harrison, Robert J [ORNL; Fann, George I [ORNL
2010-01-01T23:59:59.000Z
We present a fast algorithm to compute the partial transformation of a function represented in an adaptive pseudo-spectral multi-wavelet representation to a partial Fourier representation. Such fast transformations are useful in many contexts in physics and engineering, where changes of representation from a piece wise polynomial basis to a Fourier basis. The algorithm is demonstrated for a Gaussian in one and in three dimensions. For 2D, we apply this approach to a Gaussian in a periodic domain. The accuracy and the performance of this method is compared with direct summation.
Adaptive motion mapping in pancreatic SBRT patients using Fourier transforms
Jones, Bernard L; Miften, Moyed
2015-01-01T23:59:59.000Z
Recent studies suggest that 4DCT is unable to accurately measure respiratory-induced pancreatic tumor motion. In this work, we assessed the daily motion of pancreatic tumors treated with SBRT, and developed adaptive strategies to predict and account for this motion. The daily motion trajectory of pancreatic tumors during CBCT acquisition was calculated using a model which reconstructs the instantaneous 3D position in each 2D CBCT projection image. We developed a metric (termed "Spectral Coherence," SC) based on the Fourier frequency spectrum of motion in the SI direction, and analyzed the ability of SC to predict motion-based errors and classify patients according to motion characteristics. The amplitude of daily motion exceeded the predictions of pre-treatment 4DCT imaging by an average of 3.0 mm, 2.3 mm, and 3.5 mm in the AP, LR, and SI directions. SC was correlated with daily motion differences and tumor dose coverage. In a simulated adaptive protocol, target margins were adjusted based on SC, resulting in...
The Fourier transform solution for the Green's function of monoenergetic neutron transport theory
Barry D. ganapol
2014-03-17T23:59:59.000Z
Nearly 45 years ago, Ken Case published his seminal paper on the singular eigenfunction solution for the Green's function of the monoenergetic neutron transport equation with isotropic scattering. Previously, the solution had been obtained by Fourier transform. While it is apparent the two had to be equivalent, a convincing equivalence proof for general anisotropic scattering remained a challenge until now.
Joint-Detection using Fast Fourier Transforms in TD-CDMA based Mobile Radio Systems
GÃ¶tze, JÃ¼rgen
Joint-Detection using Fast Fourier Transforms in TD-CDMA based Mobile Radio Systems Marius Vollmer1,2 JÂ¨urgen GÂ¨otze2 Martin Haardt1 1. Siemens AG, ICN CA CTO 7 2. Information Processing Lab Dortmund, Germany Martin.Haardt@icn.siemens.de goetze@dt.e-technik.uni-dortmund.de Marius.Vollmer@icn.siemens
Green's function of a finite chain and the discrete Fourier transform
S. Cojocaru
2007-04-22T23:59:59.000Z
A new expression for the Green's function of a finite one-dimensional lattice with nearest neighbor interaction is derived via discrete Fourier transform. Solution of the Heisenberg spin chain with periodic and open boundary conditions is considered as an example. Comparison to Bethe ansatz clarifies the relation between the two approaches.
A test for second order stationarity of a time series based on the Discrete Fourier Transform
Subba Rao, Suhasini
A test for second order stationarity of a time series based on the Discrete Fourier Transform property, we construct a Portmanteau type test statistic for testing stationarity of the time series. It is shown that under the null of stationarity, the test statistic is approximately a chi square distribution
Joachim Wuttke
2012-09-01T23:59:59.000Z
The C library \\texttt{libkww} provides functions to compute the Kohlrausch-Williams-Watts function, i.e.\\ the Laplace-Fourier transform of the stretched (or compressed) exponential function $\\exp(-t^\\beta)$ for exponents $\\beta$ between 0.1 and 1.9 with sixteen-digits accuracy. Analytic error bounds are derived for the low and high frequency series expansions. For intermediate frequencies the numeric integration is enormously accelerated by using the Ooura-Mori double exponential transformation. The source code is available from the project home page \\url{http://apps.jcns.fz-juelich.de/doku/sc/kww}.
Mineralogical transformations controlling acid mine drainage...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Chemical extractions, X-ray diffraction (XRD), scanning electron microscopy (SEM), and Fourier transform infrared spectroscopy (FTIR) were used to identify and characterize Fe(III)...
Weston, Ken
Facilities: NHMFL 9.4 Tesla Fourier Transform Ion Cyclotron Resonance Mass Spectrometer Citation Fourier Transform Ion Cyclotron Resonance Mass Spectrometry, Jacqueline M. Jarvis, Amy M. McKenna, Roger N and aqueous phases. Here, each phase is characterized by negative-ion electrospray ionization Fourier
Abeysekera, Chamara
This second paper in a series of two reports on the performance of a new instrument for studying chemical reaction dynamics and kinetics at low temperatures. Our approach employs chirped-pulse Fourier-transform microwave ...
Ng, Chung-Sang
-Poisson equations can now be solved by using Fourier transform in space and Laplace transform in time, given an initial value of f(0). 2. The Laplace transform of the electric potential ~(k, p) now satisfies equation using Fourier transform in the Vlasov approach. 3. The solution ~(k, p) is in the form of ~(k, p
Svetoslav S. Ivanov; Michael Johanning; Christof Wunderlich
2015-03-30T23:59:59.000Z
We propose a simplified mathematical construction of the quantum Fourier transform which is suited for systems described by Ising-type Hamiltonians. By contrast to the standard scheme, which prescribes concatenated sequences of control phase gates, our implementation is based on one-qubit gates and a free evolution process. We show a realization of our method with homogeneous microwave driven ion traps in a magnetic field with gradient. In this setup our implementation presents a series of microwave $\\pi$ or $\\pi/2$ pulses applied at certain times.
Implementation of the quantum Fourier transform on a hybrid qubit-qutrit NMR quantum emulator
Shruti Dogra; Arvind; Kavita Dorai
2015-03-23T23:59:59.000Z
The quantum Fourier transform (QFT) is a key ingredient of several quantum algorithms and a qudit-specific implementation of the QFT is hence an important step toward the realization of qudit-based quantum computers. This work develops a circuit decomposition of the QFT for hybrid qudits based on generalized Hadamard and generalized controlled-phase gates, which can be implemented using selective rotations in NMR. We experimentally implement the hybrid qudit QFT on an NMR quantum emulator, which uses four qubits to emulate a single qutrit coupled to two qubits.
Enrico Celeghini; Mariano A. del Olmo
2014-11-11T23:59:59.000Z
Quantum Mechanics and Signal Processing in the line R, are strictly related to Fourier Transform and Weyl-Heisenberg algebra. We discuss here the addition of a new discrete variable that measures the degree of the Hermite functions and allows to obtain the projective algebra io(2). A Rigged Hilbert space is found and a new discrete basis in R obtained. The operators {O[R]} defined on R are shown to belong to the Universal Enveloping Algebra UEA[io(2)] allowing, in this way, their algebraic discussion. Introducing in the half-line a Fourier-like Transform, the procedure is extended to R^+ and can be easily generalized to R^n and to spherical reference systems.
Exhibition of the periodicity of Quantum Fourier Transformation in Nuclear Magnetic Resonance
Xinhua Peng; Xiwen Zhu; Ximing Fang; Mang Feng; Xiaodong Yang; Maili Liu; Kelin Gao
2002-02-01T23:59:59.000Z
The remarkable capability of quantum Fourier transformation (QFT) to extract the periodicity of a given periodic function has been exhibited by using nuclear magnetic resonance (NMR) techniques. Two separate sets of experiments were performed. In a full QFT, the periodicity were validated with state tomography and fidelity measurements. For a simplified QFT, the three-qubit pseudo-pure state was created by introducting an additional observer spin, and the spectra recorded on the observer spin showed intuitively the power of QFT\\ to find the periodicity. Experimentally realizing the QFT provides a critical step to implement the renowned Shor's quantum factoring algorithm and many other algorithms. Moveover, it can be applied to the study of quantum chaos and other quantum information processing.
Exhibition of the periodicity of Quantum Fourier Transformation in Nuclear Magnetic Resonance
Peng, X; Fang, X; Feng, M; Yang, X; Liu, M; Gao, K; Peng, Xinhua; Zhu, Xiwen; Fang, Ximing; Feng, Mang; Yang, Xiaodong; Liu, Maili; Gao, Kelin
2002-01-01T23:59:59.000Z
The remarkable capability of quantum Fourier transformation (QFT) to extract the periodicity of a given periodic function has been exhibited by using nuclear magnetic resonance (NMR) techniques. Two separate sets of experiments were performed. In a full QFT, the periodicity were validated with state tomography and fidelity measurements. For a simplified QFT, the three-qubit pseudo-pure state was created by introducting an additional observer spin, and the spectra recorded on the observer spin showed intuitively the power of QFT\\ to find the periodicity. Experimentally realizing the QFT provides a critical step to implement the renowned Shor's quantum factoring algorithm and many other algorithms. Moveover, it can be applied to the study of quantum chaos and other quantum information processing.
Davis, Benjamin L; Shields, Douglas W; Kennefick, Julia; Kennefick, Daniel; Seigar, Marc S; Lacy, Claud H S; Puerari, Ivânio
2012-01-01T23:59:59.000Z
A logarithmic spiral is a prominent feature appearing in a majority of observed galaxies. This feature has long been associated with the traditional Hubble classification scheme, but historical quotes of pitch angle of spiral galaxies have been almost exclusively qualitative. We have developed a methodology, utilizing two-dimensional fast Fourier transformations of images of spiral galaxies, in order to isolate and measure the pitch angles of their spiral arms. Our technique provides a quantitative way to measure this morphological feature. This will allow comparison of spiral galaxy pitch angle to other galactic parameters and test spiral arm genesis theories. In this work, we detail our image processing and analysis of spiral galaxy images and discuss the robustness of our analysis techniques.
Use of fourier transforms to define landscape scales of analysis for disturbances: a case study using aerial photos, Fourier Tran- forms, and cluster analysis to investigate how different spatial statistics are affected by spatial scale. The specific aims were to: 1) evaluate how a Fourier filter could
Subba Rao, Suhasini
A test for second order stationarity of a time series based on the Discrete Fourier Transform stationary. Exploiting this important property, we construct a Portmanteau type test statistic for testing stationarity of the time series. It is shown that under the null of stationarity, the test statistic has
Method for calibrating a Fourier transform ion cyclotron resonance mass spectrometer
Smith, Richard D.; Masselon, Christophe D.; Tolmachev, Aleksey
2003-08-19T23:59:59.000Z
A method for improving the calibration of a Fourier transform ion cyclotron resonance mass spectrometer wherein the frequency spectrum of a sample has been measured and the frequency (f) and intensity (I) of at least three species having known mass to charge (m/z) ratios and one specie having an unknown (m/z) ratio have been identified. The method uses the known (m/z) ratios, frequencies, and intensities at least three species to calculate coefficients A, B, and C, wherein the mass to charge ratio of a least one of the three species (m/z).sub.i is equal to ##EQU1## wherein f.sub.i is the detected frequency of the specie, G(I.sub.i) is a predetermined function of the intensity of the species, and Q is a predetermined exponent. Using the calculated values for A, B, and C, the mass to charge ratio of the unknown specie (m/z).sub.ii is calculated as the sum of ##EQU2## wherein f.sub.ii is the measured frequency of the unknown specie, and (I.sub.ii) is the measured intensity of the unknown specie.
Weston, Ken
Facilities: NHMFL 14.5 Tesla Fourier Transform Ion Cyclotron Resonance Mass Spectrometer Citation ultrahigh-resolution 14.5 tesla Fourier transform ion cyclotron resonance mass spectrometry. The Mag
Hart, Gus
Example Worksheet for Fourier Transform Lab c Dallin S. Durfee 2004 This worksheet is meant.e., their Fourier transform). You will do this using a computer program which can generate or record waveforms or read in pre-recorded waveforms. This program will display the waveform along with its Fourier transform
Ota, T. A. [AWE, Aldermaston, Reading, Berkshire RG7 4PR (United Kingdom)] [AWE, Aldermaston, Reading, Berkshire RG7 4PR (United Kingdom)
2013-10-15T23:59:59.000Z
Photonic Doppler velocimetry, also known as heterodyne velocimetry, is a widely used optical technique that requires the analysis of frequency modulated signals. This paper describes an investigation into the errors of short time Fourier transform analysis. The number of variables requiring investigation was reduced by means of an equivalence principle. Error predictions, as the number of cycles, samples per cycle, noise level, and window type were varied, are presented. The results were found to be in good agreement with analytical models.
Ng, Chung-Sang
approach (using Fourier transforms) is resolved by using the Landau approach, which treats the wave problem as an initial value problem, and thus we can use the Laplace transform instead. 2. If we consider a problem starting from the initial time (t = 0) only, the Laplace transform, ~f (p) = f (t)e- pt dt0 , of f
Paris-Sud XI, Université de
scanning serves to mitigate the problems of scintillation and dynamic range for Fourier spectrometry. Scintillation noise due to atmospheric turbulence can easily relegate astronomical spectrometry to the last RAPID SCANNING FOURIER TRANSFORM SPECTROMETRY Block Associates, Inc., Cambridge, Mass., U. S. A. Rksumk
The Fractional Fourier Transform and Its Application to Fault Signal Analysis
Duan, Xiao
2012-07-16T23:59:59.000Z
To a large extent mathematical transforms are applied on a signal to uncover information that is concealed, and the capability of such transforms is valuable for signal processing. One such transforms widely used in this area, is the conventional...
GAMANL : a computer program applying Fourier transforms to the analysis of gamma spectral data
Harper, Thomas Lawrence
1968-01-01T23:59:59.000Z
GAMANL, a computer code for automatically identifying the peaks in a complex spectra and determining their centers and areas, is described. The principal feature of the method is a data smoothing technique employing Fourier ...
Chen, Yu; Leach, Franklin E.; Kaiser, Nathan K.; Dang, Xibei; Ibrahim, Yehia M.; Norheim, Randolph V.; Anderson, Gordon A.; Smith, Richard D.; Marshall, Alan G.
2015-01-01T23:59:59.000Z
Fourier transform ion cyclotron resonance (FT-ICR) mass spectrometry provides unparalleled mass accuracy and resolving power.[1],[2] With electrospray ionization (ESI), ions are typically transferred into the mass spectrometer through a skimmer, which serves as a conductance-limiting orifice. However, the skimmer allows only a small fraction of incoming ions to enter the mass spectrometer. An ion funnel, originally developed by Smith and coworkers at Pacific Northwest National Laboratory (PNNL)[3-5] provides much more efficient ion focusing and transfer. The large entrance aperture of the ion funnel allows almost all ions emanating from a heated capillary to be efficiently captured and transferred, resulting in nearly lossless transmission.
O. E. Yaremko
2013-07-27T23:59:59.000Z
Multidimensional integral transformations with non-separated variables for problems with discontinuous coefficients are constructed in this work. The coefficient discontinuities focused on the of parallel hyperplanes. In this work explicit formulas for the kernels in the case of ideal coupling conditions are obtained; the basic identity of the integral transform is proved; technique of integral transforms is developed
ENERGY-EFFICIENT AND PARAMETERIZED DESIGNS FOR FAST FOURIER TRANSFORM ON FPGAS
Jang, Ju-Wook
+govindu+prasanna}@usc.edu jjang@sogang.ac.kr ABSTRACT In this paper, we develop energy efficient designs for the Fast Fourier efficiency and arrive at energy-efficient designs. A parametrized This work is supported by the DARPA Power. We determine design trade-offs using high-level performance esti- mation to obtain energy-efficient
Detection and discrimination of the periodicity of prime numbers by discrete Fourier transform
Levente Csoka
2015-01-27T23:59:59.000Z
A novel representation of a quasi-periodic modified von Mangoldt function L(n) on prime numbers and its decomposition into Fourier series has been investigated. We focus on some particular quantities characterizing the modified von Mangoldt function. The results indicate that prime number progression can be decomposed into periodic sequences. The main approach is to decompose it into sin or cosine function. Basically, it is applied to extract hidden periodicities in seemingly quasi periodic prime function. Numerical evidences were provided to confirm the periodic distribution of primes.
SCUBA-2 imaging Fourier transform spectrometer David A. Naylor* and Brad G. Gom
Naylor, David A.
the submillimetre sky up to a thousand times faster than SCUBA to the same signal-to-noise and to reach array it will be possible to obtain, simultaneously, a spectrum from each point on the sky corresponding from Ultra-Luminous Infra-Red Galaxies (ULIRGs). Using the IFTS to measure the SED across the 850 µm
4, a microorganism capable of cometabolizing TCE via the toluene 2-monooxygenase catabolic pathway, clinopyroxene, olivine, ilmenite, and accessory apatite. The thin sections were then exposed to a pure culture of bacteria for 24 hours. RESULTS SR-FTIR microspectroscopic mapping was conducted an aluminum slide exposed
Fourier Transform Raman Spectroscopy of Photoactive Proteins with Near-Infrared Excitation
Johnson, Carey K.; Rubinovitz, Ronald
1990-07-01T23:59:59.000Z
-adapted by light from a 14-W tungsten bulb for 45 min before being transferred to a cuvette for Raman analysis. Photosynthetic reaction centers of Rhodobacter sphaeroides were generously donated by Prof. Robert Blankenship (Arizona State University). The sample... carbonyl vibrations of BChl and BPh. In contrast o bR, there is no clear and consistent correspondence in Fig. 2B with the rel- ative intensities of Qx, Qy, or Soret-enhanced resonance Raman spectra of RCs, perhaps because of the existence of several...
Keene, J.; Li, H.; Riley, J.T. [and others
1995-08-01T23:59:59.000Z
Good agreement between the results obtained for the gas species evolved during coal combustion was obtained by two different analytical techniques, TG-FTIR and TG-MS. The three peak maxima representing HCl evolution during coal combustion were identified. The first two peaks at approximately 300{degrees}C and 450{degrees}C correspond to the loss of HCl from chloride ions associated with the hydrated coal matrix. The third peak, if present, corresponds to the presence of inorganic chlorides.
Pyridine sorption to mineral surfaces: a fourier transform infrared spectroscopy study
Graham, Robert Edward
1999-01-01T23:59:59.000Z
for the sorption of pyridine to the various mineral surfaces. Results indicated that hydrogen bonding and bonding to Lewis acid sites are responsible for the sorption of gaseous phase pyridine which sorbed to all mineral surfaces. FTIR spectra provided evidence...
Invited review article Advances in Fourier transform infrared spectroscopy of natural glasses
Watkins, Jim
, Christchurch 8140, New Zealand b School of Environmental Sciences, University of Liverpool, Liverpool, UK c Research and Development Center for Ocean Drilling Science, Japan Agency for Marine Earth Science and Technology (JAMSTEC), 2-15 Natsushima-cho, Yokosuka, Kanagawa 237-0061, Japan d Department of Geological
Pyridine sorption to mineral surfaces: a fourier transform infrared spectroscopy study
Graham, Robert Edward
1999-01-01T23:59:59.000Z
to mineral surfaces will therefore lead to more accurate predictions of the success of biodegradation in those conditions. The objective of this study was to determine the mechanisms responsible for the sorption of polar organic molecules, represented...
Buckner, Mark A [ORNL; Bobrek, Miljko [ORNL; Farquhar, Ethan [ORNL; Harmer, Paul K [Air Force Institute of Technology; Temple, Michael A [Air Force Institute of Technology
2011-01-01T23:59:59.000Z
Wireless Access Points (WAP) remain one of the top 10 network security threats. This research is part of an effort to develop a physical (PHY) layer aware Radio Frequency (RF) air monitoring system with multi-factor authentication to provide a first-line of defense for network security--stopping attackers before they can gain access to critical infrastructure networks through vulnerable WAPs. This paper presents early results on the identification of OFDM-based 802.11a WiFi devices using RF Distinct Native Attribute (RF-DNA) fingerprints produced by the Fractional Fourier Transform (FRFT). These fingerprints are input to a "Learning from Signals" (LFS) classifier which uses hybrid Differential Evolution/Conjugate Gradient (DECG) optimization to determine the optimal features for a low-rank model to be used for future predictions. Results are presented for devices under the most challenging conditions of intra-manufacturer classification, i.e., same-manufacturer, same-model, differing only in serial number. The results of Fractional Fourier Domain (FRFD) RF-DNA fingerprints demonstrate significant improvement over results based on Time Domain (TD), Spectral Domain (SD) and even Wavelet Domain (WD) fingerprints.
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Arenas, D. J. [Univ. of North Florida, Jacksonville, FL (United States); Shim, Dongha [Univ. of Florida, Gainesville, FL (United States); Koukis, D. I. [Univ. of Florida, Gainesville, FL (United States); Seok, Eunyoung [Univ. of Florida, Gainesville, FL (United States); Texas Instruments, Dallas, TX (United States); Tanner, D. B. [Univ. of Florida, Gainesville, FL (United States); O, Kenneth K. [Univ. of Texas, Dallas, TX (United States)
2011-01-01T23:59:59.000Z
Optical methods for measuring of the emission spectra of oscillator circuits operating in the 400-600 GHz range are described. The emitted power from patch antennas included in the circuits is measured by placing the circuit in the source chamber of a Fourier-transform interferometric spectrometer. The results show that this optical technique is useful for measuring circuits pushing the frontier in operating frequency. The technique also allows the characterization of the circuit by measuring the power radiated in the fundamental and in the harmonics. This capability is useful for oscillator architectures designed to cancel the fundamental and use higher harmonics. The radiated power was measured using two techniques: direct measurement of the power by placing the device in front of a bolometer of known responsivity, and by comparison to the estimated power from blackbody sources. The latter technique showed that these circuits have higher emission than blackbody sources at the operating frequencies, and, therefore, offer potential spectroscopy applications.
Fourier Transforms as a tool for Analysis of Hadron-Hadron collisions
M. Campanelli; J. W. Monk
2009-10-27T23:59:59.000Z
Hadronic final states in hadron-hadron collisions are often studied by clustering final state hadrons into jets, each jet approximately corresponding to a hard parton. The typical jet size in a high energy hadron collision is between 0.4 and 1.0 in eta-phi. On the other hand, there may be structures of interest in an event that are of a different scale to the jet size. For example, to a first approximation the underlying event is a uniform emission of radiation spanning the entire detector, colour connection effects between hard partons may fill the region between a jet and the proton remnant and hadronisation effects may extend beyond the jets. We consider the possibility of performing a Fourier decomposition on individual events in order to produce a power spectrum of the transverse energy radiated at different angular scales. We attempt to identify correlations in the emission of radiation over distances ranging from the full detector size to approximately 0.2 in eta-phi. As a demonstration of this technique we apply it to a comparison of di-jet events produced with and without a colour connection between the jets.
Bhanot, Gyan V. (Princeton, NJ); Chen, Dong (Croton-On-Hudson, NY); Gara, Alan G. (Mount Kisco, NY); Giampapa, Mark E. (Irvington, NY); Heidelberger, Philip (Cortlandt Manor, NY); Steinmacher-Burow, Burkhard D. (Mount Kisco, NY); Vranas, Pavlos M. (Bedford Hills, NY)
2012-01-10T23:59:59.000Z
The present in invention is directed to a method, system and program storage device for efficiently implementing a multidimensional Fast Fourier Transform (FFT) of a multidimensional array comprising a plurality of elements initially distributed in a multi-node computer system comprising a plurality of nodes in communication over a network, comprising: distributing the plurality of elements of the array in a first dimension across the plurality of nodes of the computer system over the network to facilitate a first one-dimensional FFT; performing the first one-dimensional FFT on the elements of the array distributed at each node in the first dimension; re-distributing the one-dimensional FFT-transformed elements at each node in a second dimension via "all-to-all" distribution in random order across other nodes of the computer system over the network; and performing a second one-dimensional FFT on elements of the array re-distributed at each node in the second dimension, wherein the random order facilitates efficient utilization of the network thereby efficiently implementing the multidimensional FFT. The "all-to-all" re-distribution of array elements is further efficiently implemented in applications other than the multidimensional FFT on the distributed-memory parallel supercomputer.
Bhanot, Gyan V. (Princeton, NJ); Chen, Dong (Croton-On-Hudson, NY); Gara, Alan G. (Mount Kisco, NY); Giampapa, Mark E. (Irvington, NY); Heidelberger, Philip (Cortlandt Manor, NY); Steinmacher-Burow, Burkhard D. (Mount Kisco, NY); Vranas, Pavlos M. (Bedford Hills, NY)
2008-01-01T23:59:59.000Z
The present in invention is directed to a method, system and program storage device for efficiently implementing a multidimensional Fast Fourier Transform (FFT) of a multidimensional array comprising a plurality of elements initially distributed in a multi-node computer system comprising a plurality of nodes in communication over a network, comprising: distributing the plurality of elements of the array in a first dimension across the plurality of nodes of the computer system over the network to facilitate a first one-dimensional FFT; performing the first one-dimensional FFT on the elements of the array distributed at each node in the first dimension; re-distributing the one-dimensional FFT-transformed elements at each node in a second dimension via "all-to-all" distribution in random order across other nodes of the computer system over the network; and performing a second one-dimensional FFT on elements of the array re-distributed at each node in the second dimension, wherein the random order facilitates efficient utilization of the network thereby efficiently implementing the multidimensional FFT. The "all-to-all" re-distribution of array elements is further efficiently implemented in applications other than the multidimensional FFT on the distributed-memory parallel supercomputer.
Lees, R M.; Xu, Li-Hong; Johns, Judy C.; Lu, Zhe; Winnewisser, Brenda P.; Sams, Robert L.
2004-12-01T23:59:59.000Z
High-resolution Fourier Transform Spectra of CH3OH have been investigated in the infrared region from 930 -1450 cm-1 in order to map the torsion-rotation energy manifolds associated with the v7 in-plane CH3 rock, the v11 out-of-plane CH3 rock, and the v6 OH bend. Upper-state term values have been determined from the assigned spectral subbands, and have been fitted to power-series expansions to obtain substate origins and effective B-values for the three modes. The substate origins have been grouped into related families according to systemic trends observed in the torsion-vibration energy map, but there are substantial differences from the traditional torsional patterns. There appears to be significant torsion-mediated spectral fractionation, and a variety of subbands of mixed torsion-vibration parentage have been observed. For example, coupling of the v6=1 OH bend to nearby torsionally excited (v1, vt) = (1,1) CH3-rock and (v8, vt) = (1,1) CO-stretch states introduces (v6, vt) = (1,0) ? (0,1) ''forbidden'' subbands into the spectrum and makes the v7+v12-v12 torsional hot band stronger than the v7 fundamental. The results suggest a picture of strong coupling the OH-bending, CH3-rocking and CO-stretching modes that modifies the traditional energy structure and raises interesting and provocative questions about the torsion-vibration identity of a number of the observed states.
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Arenas, D. J.; Shim, Dongha; Koukis, D. I.; Seok, Eunyoung; Tanner, D. B.; O, Kenneth K.
2011-01-01T23:59:59.000Z
Optical methods for measuring of the emission spectra of oscillator circuits operating in the 400-600 GHz range are described. The emitted power from patch antennas included in the circuits is measured by placing the circuit in the source chamber of a Fourier-transform interferometric spectrometer. The results show that this optical technique is useful for measuring circuits pushing the frontier in operating frequency. The technique also allows the characterization of the circuit by measuring the power radiated in the fundamental and in the harmonics. This capability is useful for oscillator architectures designed to cancel the fundamental and use higher harmonics. Themore »radiated power was measured using two techniques: direct measurement of the power by placing the device in front of a bolometer of known responsivity, and by comparison to the estimated power from blackbody sources. The latter technique showed that these circuits have higher emission than blackbody sources at the operating frequencies, and, therefore, offer potential spectroscopy applications.« less
Stevenson, Paul
The effect of ion binding in the selectivity filter of the potassium channel KcsA is investigated by combining amide I Fourier-transform infrared spectroscopy with structure-based spectral modeling. Experimental difference ...
Owen, Thomas E.; Miller, Michael A.
2007-03-13T23:59:59.000Z
A method of determining the amount of nitrogen in a gas mixture. The constituent gases of the mixture are dissociated and transformed to create a substance that may measured using nondispersive infrared adsorption techniques.
Owen, Thomas E. (Helotes, TX); Miller, Michael A. (San Antonio, TX)
2010-08-24T23:59:59.000Z
A method of determining the amount of nitrogen in a gas mixture. The constituent gases of the mixture are dissociated and transformed to create a substance that may measured using nondispersive infrared adsorption techniques.
Infrared spectroscopic study of rovibrational states of methane trapped in parahydrogen crystal
Oka, Takeshi
Infrared spectroscopic study of rovibrational states of methane trapped in parahydrogen crystal observed by using Fourier transform infrared and high resolution laser spectroscopy. The observed spectrum broader lines of a width of 1 cm 1 . The infrared selection rules derived from an extended group theory
FRONTIER SYNCHROTRON INFRARED SPECTROSCOPY BEAMLINE UNDER EXTREME CONDITIONS (FIS)
Ohta, Shigemi
FRONTIER SYNCHROTRON INFRARED SPECTROSCOPY BEAMLINE UNDER EXTREME CONDITIONS (FIS) Proposal Team: L INFORMATION Â· TECHNIQUE(S): Fourier transform infrared spectroscopy; Raman and visible spectroscopy; Diamond techniques combined with DACs; Laser heating techniques combined with DACs. Â· SOURCE: Large-gap (90 mm
Beckert, D. [Univ. of Leipzig (Germany); Plueschau, M.; Dinse, K.P. [Univ. of Dortmund, Otto-Hahn-Strasse (Germany)
1992-04-16T23:59:59.000Z
By using fourier tranform electron paramagnetic resonance, the free radicals in the photoreduction of anthraquinone by triethylamine in alcohol solutions have been investigated. The detrapping kinetics have been described using some analytical form of the potential and the thermally averaged distance distribution of trapped radical pairs. This analytical form relates the binding potential, the diffusion constant, and the equilibrium distance. 12 refs., 4 figs., 3 tabs.
A Fast Algorithm for Chebyshev, Fourier & Sinc
Boyd, John P.
A Fast Algorithm for Chebyshev, Fourier & Sinc Interpolation Onto an Irregular Grid John P. Boyd or Fourier series may be evaluated on the standard collocation grid by the Fast Fourier Transform (FFT with the interpolation points {xj}. The cardinal functions Cj(x) are linear combinations of the underlying Fourier
Leclerc, Arnaud
2015-01-01T23:59:59.000Z
A global solution of the Schr\\"odinger equation for explicitly time-dependent Hamiltonians is derived by integrating the non-linear differential equation associated with the time-dependent wave operator. A fast iterative solution method is proposed in which, however, numerous integrals over time have to be evaluated. This internal work is done using a numerical integrator based on Fast Fourier Transforms (FFT). The case of a transition between two potential wells of a model molecule driven by intense laser pulses is used as an illustrative example. This application reveals some interesting features of the integration technique. Each iteration provides a global approximate solution on grid points regularly distributed over the full time propagation interval. Inside the convergence radius, the complete integration is competitive with standard algorithms, especially when high accuracy is required.
Niemi, K.; O'Connell, D.; Gans, T. [York Plasma Institute, Department of Physics, University of York, York YO10 5DD (United Kingdom); Oliveira, N. de; Joyeux, D.; Nahon, L. [Synchrotron Soleil, l'Orme des Merisiers, St. Aubin BP 48, 91192 Gif sur Yvette Cedex (France); Booth, J. P. [Laboratoire de Physique des Plasmas-CNRS, Ecole Polytechnique, 91128 Palaiseau (France)
2013-07-15T23:59:59.000Z
Reactive atomic species play a key role in emerging cold atmospheric pressure plasma applications, in particular, in plasma medicine. Absolute densities of atomic oxygen and atomic nitrogen were measured in a radio-frequency driven non-equilibrium plasma operated at atmospheric pressure using vacuum ultra-violet (VUV) absorption spectroscopy. The experiment was conducted on the DESIRS synchrotron beamline using a unique VUV Fourier-transform spectrometer. Measurements were carried out in plasmas operated in helium with air-like N{sub 2}/O{sub 2} (4:1) admixtures. A maximum in the O-atom concentration of (9.1 {+-} 0.7) Multiplication-Sign 10{sup 20} m{sup -3} was found at admixtures of 0.35 vol. %, while the N-atom concentration exhibits a maximum of (5.7 {+-} 0.4) Multiplication-Sign 10{sup 19} m{sup -3} at 0.1 vol. %.
Köck, Eva-Maria; Kogler, Michaela; Pramsoler, Reinhold; Klötzer, Bernhard; Penner, Simon, E-mail: simon.penner@uibk.ac.at [Institute of Physical Chemistry, University of Innsbruck, Innrain 80-82, A-6020 Innsbruck (Austria)
2014-08-15T23:59:59.000Z
The construction of a newly designed high-temperature, high-pressure FT-IR reaction cell for ultra-dry in situ and operando operation is reported. The reaction cell itself as well as the sample holder is fully made of quartz glass, with no hot metal or ceramic parts in the vicinity of the high-temperature zone. Special emphasis was put on chemically absolute water-free and inert experimental conditions, which includes reaction cell and gas-feeding lines. Operation and spectroscopy up to 1273 K is possible, as well as pressures up to ambient conditions. The reaction cell exhibits a very easy and variable construction and can be adjusted to any available FT-IR spectrometer. Its particular strength lies in its possibility to access and study samples under very demanding experimental conditions. This includes studies at very high temperatures, e.g., for solid-oxide fuel cell research or studies where the water content of the reaction mixtures must be exactly adjusted. The latter includes all adsorption studies on oxide surfaces, where the hydroxylation degree is of paramount importance. The capability of the reaction cell will be demonstrated for two selected examples where information and in due course a correlation to other methods can only be achieved using the presented setup.
Strong, Kimberly
made in the laboratory in 1839 by SchÂ¨onbein [1,2]. It is well known as an important component of our atmo- sphere, as it strongly absorbs solar ultraviolet (UV) radiation. Total ozone column measurementsDirect journal homepage: www.elsevier.com/locate/jqsrt Journal of Quantitative Spectroscopy & Radiative Transfer
Boyer, Edmond
are summarized, and the experimental protocols, the results and the limitations are detailed. The sample such as catalysis, transport of toxic species in natural waters, and decontamination of liquid wastes. The long-term safety of radioactive waste depositories is based on the sorption of radionuclides on engineered
George, Steven M.
-type semiconductor metal oxide that has many applications in various fields due to its special optical, electrical capacity anode for next gen- eration lithium ion batteries.3,4 SnO2 can also be used as a catalyst typically around 10-2 cm. The adsorp- tion of O2 from air removes the electron charge carriers from
Fourier Analysis and Autocorrelation Function Applied to Periodical Nanostructures
Rockett, Angus
Fourier Analysis and Autocorrelation Function Applied to Periodical Nanostructures E. Cruz Microscopy (AFM) Image Fast Fourier Transformation Autocorrelation Function(AC) Angular Distribution] Fourier Analysis: analytical and geometrical aspects, Bray William O ed. New York: Marcel Dekker, 1994
Choi, M. [Catholic Univ. Medical Coll., Seoul (Korea, Republic of). Dept. of Physics; Joo, J.H. [Korea Inst. of Science and Technology, Seoul (Korea, Republic of). Materials Design Lab.; Kim, S.K.; Kang, J.S.; Lee, Y.P. [Research Inst. of Industrial Science Technology, Pohang (Korea, Republic of); Shin, S.C. [Korea Advanced Inst. of Science and Technology, Seoul (Korea, Republic of); Heald, S.M. [Brookhaven National Lab., Upton, NY (United States)
1992-11-01T23:59:59.000Z
Electron-yield XAFS measurements using the NSLS were made on e-beam evaporated Co/Pd multilayers with various sublayer thicknesses and different thickness ratios of Co to Pd sublayers. The Co K-edge and the Pd K-edge XAFS data were obtained for the Co/Pd multilayers with sublayer thicknesses of 3{Angstrom}/ 4{Angstrom}, 15{Angstrom}/4{Angstrom}, 3{Angstrom}/15{Angstrom}, 2.1{Angstrom}/13.5{Angstrom}, and 2.2{Angstrom}/4.5{Angstrom}. Fourier transforms of Co K XAFS for most samples show a splitting of major peak, and the magnitude ratio of these split peaks varies systematically with the thickness ratio of the Pd sublayer to the Co sublayer, whereas the Fourier transforms of the Pd K XAFS for the same samples do not show a splitting of peaks. As a preliminary analysis, the Co K XAFS and the split peaks in the Fourier transform for the Co/Pd(3{Angstrom}/4{Angstrom}) case were simulated by using the FEFF calculations, and the Co K XAFS and the major peak in the fourier transform for the Co/Pd(15{Angstrom}/4{Angstrom}) case were also simulated consistently.
Choi, M. (Catholic Univ. Medical Coll., Seoul (Korea, Republic of). Dept. of Physics); Joo, J.H. (Korea Inst. of Science and Technology, Seoul (Korea, Republic of). Materials Design Lab.); Kim, S.K.; Kang, J.S.; Lee, Y.P. (Research Inst. of Industrial Science Technology, Pohang (Korea, Republic of)); Shin, S.C. (Korea Advanced Inst. of Science and Technology, Seoul (Korea, Republic of)); Heald, S.M.
1992-01-01T23:59:59.000Z
Electron-yield XAFS measurements using the NSLS were made on e-beam evaporated Co/Pd multilayers with various sublayer thicknesses and different thickness ratios of Co to Pd sublayers. The Co K-edge and the Pd K-edge XAFS data were obtained for the Co/Pd multilayers with sublayer thicknesses of 3[Angstrom]/ 4[Angstrom], 15[Angstrom]/4[Angstrom], 3[Angstrom]/15[Angstrom], 2.1[Angstrom]/13.5[Angstrom], and 2.2[Angstrom]/4.5[Angstrom]. Fourier transforms of Co K XAFS for most samples show a splitting of major peak, and the magnitude ratio of these split peaks varies systematically with the thickness ratio of the Pd sublayer to the Co sublayer, whereas the Fourier transforms of the Pd K XAFS for the same samples do not show a splitting of peaks. As a preliminary analysis, the Co K XAFS and the split peaks in the Fourier transform for the Co/Pd(3[Angstrom]/4[Angstrom]) case were simulated by using the FEFF calculations, and the Co K XAFS and the major peak in the fourier transform for the Co/Pd(15[Angstrom]/4[Angstrom]) case were also simulated consistently.
functions. (For recall that every power series is infinitely differen- tiable inside its disk of convergence . . . . . . . . . . . . . . . . 66 D2 The dual of a finite abelian group . . . . . . . . . . . . . . . . . . 70 D3 Fourier transforms The algebraist thinks: `Analysis is hard. Can we reduce it to algebra?' Idea Use power series. 1 Many functions f
Sparks, Donald L.
In situ analysis of biogeochemical arsenic transformations GEOC 68 Sanjai J. Parikh, sjparikh reflectance (ATR) Fourier transform infrared (FTIR) spectroscopy has been used to collect in situ kinetic data further oxidation from occurring. Analysis of first-order rate kinetics revealed 95% transformation of As
Advanced Analysis: Skeleton notes 1. Fourier Theory
Davies, Christopher
Advanced Analysis: Skeleton notes 1. Fourier Theory The Fourier series of a function f() on [-, ] is - anein , where an = an(f) = 1 2 - f()e-in d. The Fourier transform of a function f(x) on R is the function ^f() = 1 2 - f(x)e-ix dx, and the Fourier inversion formula is f(x) = - f()eix d. One circle
S. Bilir; S. Ak; S. Karaali; A. Cabrera-Lavers; T. S. Chonis; C. M. Gaskell
2007-11-27T23:59:59.000Z
We present colour transformations for the conversion of the {\\em 2MASS} photometric system to the Johnson-Cousins $UBVRI$ system and further into the {\\em SDSS} $ugriz$ system. We have taken {\\em SDSS} $gri$ magnitudes of stars measured with the 2.5-m telescope from $SDSS$ Data Release 5 (DR5), and $BVRI$ and $JHK_{s}$ magnitudes from Stetson's catalogue and \\citet{Cu03}, respectively. We matched thousands of stars in the three photometric systems by their coordinates and obtained a homogeneous sample of 825 stars by the following constraints, which are not used in previous transformations: 1) the data are de-reddened, 2) giants are omitted, and 3) the sample stars selected are of the highest quality. We give metallicity, population type, and transformations dependent on two colours. The transformations provide absolute magnitude and distance determinations which can be used in space density evaluations at short distances where some or all of the {\\em SDSS} $ugriz$ magnitudes are saturated. The combination of these densities with those evaluated at larger distances using {\\em SDSS} $ugriz$ photometry will supply accurate Galactic model parameters, particularly the local space densities for each population.
A discrete fractional random transform
Zhengjun Liu; Haifa Zhao; Shutian Liu
2006-05-20T23:59:59.000Z
We propose a discrete fractional random transform based on a generalization of the discrete fractional Fourier transform with an intrinsic randomness. Such discrete fractional random transform inheres excellent mathematical properties of the fractional Fourier transform along with some fantastic features of its own. As a primary application, the discrete fractional random transform has been used for image encryption and decryption.
Fourier-Based Forward and Back-Projectors for Iterative Image Reconstruction
Fessler, Jeffrey A.
Fourier-Based Forward and Back-Projectors for Iterative Image Reconstruction Samuel Matej, Jeffrey. Fourier-Based Projectors B. Non-Uniform Fast Fourier Transform C. Fourier-Based Iterative Reconstruction D. Fourier-based forward and back-projection methods have the potential to considerably reduce
Gerwert, Klaus
2014-01-01T23:59:59.000Z
molecules distributed at inactive positions in a polar environment in the ground state. The movement properties. These band shifts are identified by time-resolved Fourier Transform Infrared difference surface to the proteins' active sites, or through the protein core across a membrane, in di- rectional
Shen, Yufeng; Tolic, Nikola; Purvine, Samuel O.; Smith, Richard D.
2012-02-03T23:59:59.000Z
Identification of peptides through analysis of peptide ion fragmentation mass spectra is key to proteomic/peptidomic studies. Advanced mass spectrometry has enabled measurement of peptide fragments with {approx}ppm mass error levels; however, mass accuracy has not been widely utilized in broad aspects of peptide identification. In this work we describe how peptide high-precision fragments measured with Fourier transform mass spectrometry can provide a powerful discriminative capability to distinguish true peptide 'hits' from possible incorrect peptides. For identification of peptides having multiple termini and carrying multiple charges, we show that the simple utilization of high-precision mass fragments information results in improved peptide analysis coverage and consistency, with coverage of >95% peptides identified totally from different spectral scoring and peptide statistic probability methods developed for moderate accuracy mass spectral peptide identification.
Fourier-Based Spectral Analysis with Adaptive Resolution
Andrey Khilko
2008-06-04T23:59:59.000Z
Despite being the most popular methods of data analysis, Fourier-based techniques suffer from the problem of static resolution that is currently believed to be a fundamental limitation of the Fourier Transform. Although alternative solutions overcome this limitation, none provide the simplicity, versatility, and convenience of the Fourier analysis. The lack of convenience often prevents these alternatives from replacing classical spectral methods - even in applications that suffer from the limitation of static resolution. This work demonstrates that, contrary to the generally accepted belief, the Fourier Transform can be generalized to the case of adaptive resolution. The generalized transform provides backward compatibility with classical spectral techniques and introduces minimal computational overhead.
Offin, Dan
Math 421 Fourier Series Autumn 2006 Text: Fourier Series, by Rajendra Bhatia, Math. Assoc. of America, 2005. Topics Covered: Â Ch. 1, Fourier series and the heat equation Â Ch. 2, Convergence of Fourier series Â Ch. 3, Sine and cosine series, arbitrary pe- riods, sin(x)/x, Gibbs's phenomenon Â Ch. 4
Hackel, Lloyd A. (Livermore, CA); Hermann, Mark R. (San Ramon, CA); Dane, C. Brent (Livermore, CA); Tiszauer, Detlev H. (Tracy, CA)
1995-01-01T23:59:59.000Z
A solid state laser is frequency tripled to 0.3 .mu.m. A small portion of the laser is split off and generates a Stokes seed in a low power oscillator. The low power output passes through a mask with the appropriate hole pattern. Meanwhile, the bulk of the laser output is focused into a larger stimulated Brillouin scattering (SBS) amplifier. The low power beam is directed through the same cell in the opposite direction. The majority of the amplification takes place at the focus which is the fourier transform plane of the mask image. The small holes occupy large area at the focus and thus are preferentially amplified. The amplified output is now imaged onto the multichip module where the holes are drilled. Because of the fourier plane amplifier, only .about.1/10th the power of a competitive system is needed. This concept allows less expensive masks to be used in the process and requires much less laser power.
Hackel, L.A.; Hermann, M.R.; Dane, C.B.; Tiszauer, D.H.
1995-12-12T23:59:59.000Z
A solid state laser is frequency tripled to 0.3 {micro}m. A small portion of the laser is split off and generates a Stokes seed in a low power oscillator. The low power output passes through a mask with the appropriate hole pattern. Meanwhile, the bulk of the laser output is focused into a larger stimulated Brillouin scattering (SBS) amplifier. The low power beam is directed through the same cell in the opposite direction. The majority of the amplification takes place at the focus which is the fourier transform plane of the mask image. The small holes occupy large area at the focus and thus are preferentially amplified. The amplified output is now imaged onto the multichip module where the holes are drilled. Because of the fourier plane amplifier, only about 1/10th the power of a competitive system is needed. This concept allows less expensive masks to be used in the process and requires much less laser power. 1 fig.
Le retour de Fourier Jean-Pierre Kahane, Membre de l'Acadmie des sciences
Yger, Alain
1 Le retour de Fourier Jean-Pierre Kahane, Membre de l'AcadÃ©mie des sciences On peut s'Ã©tonner de ce titre : "le retour de Fourier". Le nom de Fourier n'est-il pas, depuis longtemps, l'un des plus familiers au public scientifique ? SÃ©ries de Fourier, intÃ©grales de Fourier, transformations de Fourier sont
Material characterization using a hyperspectral infrared imaging spectrometer
Aimonetti, W D; Bixler, J V; Roberts, R S
1998-10-30T23:59:59.000Z
Fourier transform spectroscopy has found application in many areas including chemometrics, biomedical and biochemical studies, and atmospheric chemistry. This paper describes an investigation into the application of the LLNL Hyperspectral Infrared Imaging Spectrometer (HIRIS) to the non-destructive evaluation of man-made and natural materials. We begin by describing the HIRIS system and the objects studied in the investigation. Next, we describe the technique used to collect the hyperspec- tral imagery, and discuss the processing required to transform the data into usable form. We then describe a technique to analyze the data, and provide some preliminary results.
NEW GEOMETRIC FOURIER DESCRIPTORS FOR COLOR IMAGE RECOGNITION JosÂ´e Mennesson, Christophe Saint are a color Fourier transform us- ing geometric algebra [1] and Generalized Fourier descrip- tors defined from the group M2 of the motion of the plane [2]. In this paper, new generalized color Fourier descrip- tors
Digital Fourier optics Haldun M. Ozaktas and David A. B. Miller
Miller, David A. B.
Digital Fourier optics Haldun M. Ozaktas and David A. B. Miller Analog Fourier optical processing of America 1. Introduction The term Fourier optics is used in several different ways. Sometimes it is used of thin lenses and transmissive elements. The ease with which the Fourier transform and various signal
New Fourier reconstruction algorithms for computerized D. Potts a and G. Steidl b
Potts, Daniel
New Fourier reconstruction algorithms for computerized tomography D. Potts a and G. Steidl b propose two new algorithms for high quality Fourier reconstructions of digital N #2;N images from their Radon transform. Both algorithms are based on fast Fourier transforms for nonequispaced data (NFFT
Tang, Yinjie; Pingitore, Francesco; Mukhopadhyay, Aindrila; Phan,Richard; Hazen, Terry C.; Keasling, Jay D.
2006-07-11T23:59:59.000Z
It has been proposed that during growth under anaerobic oroxygen-limited conditions Shewanella oneidensis MR-1 uses theserine-isocitrate lyase pathway common to many methylotrophic anaerobes,in which formaldehyde produced from pyruvate is condensed with glycine toform serine. The serine is then transformed through hydroxypyruvate andglycerate to enter central metabolism at phosphoglycerate. To examine itsuse of the serine-isocitrate lyase pathway under anaerobic conditions, wegrew S. oneidensis MR-1 on [1-13C]lactate as the sole carbon source witheither trimethylamine N-oxide (TMAO) or fumarate as an electron acceptor.Analysis of cellular metabolites indicates that a large percentage(>75 percent) of lactate was partially oxidized to either acetate orpyruvate. The 13C isotope distributions in amino acids and other keymetabolites indicate that, under anaerobic conditions, a complete serinepathway is not present, and lactate is oxidized via a highly reversibleserine degradation pathway. The labeling data also suggest significantactivity in the anaplerotic (malic enzyme and phosphoenolpyruvatecarboxylase) and glyoxylate shunt (isocitrate lyase and malate synthase)reactions. Although the tricarboxylic acid (TCA) cycle is often observedto be incomplete in many other anaerobes (absence of 2-oxoglutaratedehydrogenase activity), isotopic labeling supports the existence of acomplete TCA cycle in S. oneidensis MR-1 under TMAO reductioncondition.
Fourier Analysis of the BTZ Black Hole
Ian M. Tolfree
2009-11-11T23:59:59.000Z
In this paper we extend our previous work regarding the role of the Fourier transformation in bulk to boundary mappings to include the BTZ black hole. We follow standard procedures for modifying Fourier Transformations to accommodate quotient spaces and arrive at a bulk to boundary mapping in a black hole background. We show that this mapping is consistent with known results and lends a new insight into the AdS/CFT duality. We find that the micro-states corresponding to the entropy of a bulk scalar field are the Fourier coefficients on the boundary, which transform under the principal series representation of $SL(2,R)$. Building upon this we present a toy model to analyze the implications of this for the origin of black hole entropy. We find that the black hole micro-states live on the boundary and correspond to the possible emission modes of the black hole
Fourier Analysis Jan Wiegerinck
Wiegerinck, Jan
Fourier Analysis Jan Wiegerinck version March 12, 2010 Korteweg Â de Vries Instituut, Universiteit;#12;Contents Chapter 1. Classical Fourier series 1 1.1. Introduction and Reminder 1 1.2. Sine versus Cosine.7. Exercises 11 1.8. Final remarks, notes, and references 12 Chapter 2. Distributions and their Fourier Series
An Infrared Spectral Library for Atmospheric Environmental Monitoring...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
emissions. Regardless of the application or the specific instrumental configuration (Fourier transform, dispersive, laser based, …) a comprehensive reference library is...
Using Fourier Analysis To Generate Believable Gait Patterns For Virtual Quadrupeds
Cureton, Spencer
2013-01-16T23:59:59.000Z
frame of the animation and conditioned for Fourier analysis. The Fast Fourier Transform provides frequency information that is used to create mathematical descriptions of each joint’s movement. A model representing the horse’s overall gait pattern...
Fingerprint Classification using Fast Fourier Transform
Park, Haesun
Minneapolis, MN 55455, USA chpark, hpark @cs.umn.edu Abstract In this paper, we present a new approach, USA. ÞH. Park is in the National Science Foundation, 4201 Wilson Boulevard, Arlington, Virginia 22230
GENERIC QUANTUM FOURIER TRANSFORMS Cristopher Moore
Rockmore, Dan
consumption (EC), a mobile handset system can be designed in such a way that while the data-receiving unit.e., a processing unit and a user interface) is switched off into a sleep mode. In this paper, we study the timing in a mobile handset can be designed in such a way that while the data-re- ceiving unit (DRU), a fixed
140 GHz pulsed Fourier transform microwave spectrometer
Kolbe, W.F.; Leskovar, B.
1985-07-29T23:59:59.000Z
A high frequency energy pulsing system suitable for use in a pulsed microwave spectrometer, including means for generating a high frequency carrier signal, and means for generating a low frequency modulating signal. The carrier signal is continuously fed to a modulator and the modulating signal is fed through a pulse switch to the modulator. When the pulse switch is on, the modulator will produce sideband signals above and below the carrier signal frequency. A frequency-responsive device is tuned to one of the sideband signals and sway from the carrier frequency so that the high frequency energization of the frequency-responsive device is controlled by the pulse switch.
140 GHz pulsed Fourier transform microwave spectrometer
Kolbe, W.F.; Leskovar, B.
1987-10-27T23:59:59.000Z
A high frequency energy pulsing system suitable for use in a pulsed microwave spectrometer, including means for generating a high frequency carrier signal, and means for generating a low frequency modulating signal is disclosed. The carrier signal is continuously fed to a modulator and the modulating signal is fed through a pulse switch to the modulator. When the pulse switch is on, the modulator will produce sideband signals above and below the carrier signal frequency. A frequency-responsive device is tuned to one of the sideband signals and away from the carrier frequency so that the high frequency energization of the frequency-responsive device is controlled by the pulse switch. 5 figs.
140 GHz pulsed fourier transform microwave spectrometer
Kolbe, William F. (Oakland, CA); Leskovar, Branko (Moraga, CA)
1987-01-01T23:59:59.000Z
A high frequency energy pulsing system suitable for use in a pulsed microwave spectrometer (10), including means (11, 19) for generating a high frequency carrier signal, and means (12) for generating a low frequency modulating signal. The carrier signal is continuously fed to a modulator (20) and the modulating signal is fed through a pulse switch (23) to the modulator. When the pulse switch (23) is on, the modulator (20) will produce sideband signals above and below the carrier signal frequency. A frequency-responsive device (31) is tuned to one of the sideband signals and away from the carrier frequency so that the high frequency energization of the frequency-responsive device (31) is controlled by the pulse switch (23).
Multi-reference Fourier Transform Holography
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. DOEThe Bonneville PowerCherries 82981-1cnHighandSWPA / SPRA /Ml'.SolarUS Dept ofActing ChiefofStÃ¶hr Research 28
APPENDIX F. TRANSFORMS, COMPLEX ANALYSIS 1 Transforms, Complex
Callen, James D.
APPENDIX F. TRANSFORMS, COMPLEX ANALYSIS 1 Appendix F Transforms, Complex Analysis This appendix discusses Fourier and Laplace transforms as they are used in plasma physics and this book. Also, key properties of complex variable theory that are needed for understanding and inverting these transforms
z Transform Chapter Intended Learning Outcomes
So, Hing-Cheung
z Transform Chapter Intended Learning Outcomes: (i) Understanding the relationship between transform and the Fourier transform for discrete-time signals (ii) Understanding the characteristics and properties of transform (iii) Ability to compute transform and inverse transform (iv) Ability to apply
Infrared near-field imaging and spectroscopy based on thermal or synchrotron radiation
Peragut, Florian; De Wilde, Yannick, E-mail: yannick.dewilde@espci.fr [ESPCI ParisTech, PSL Research University, CNRS, Institut Langevin, 1 rue Jussieu, F-75005, Paris (France); Brubach, Jean-Blaise; Roy, Pascale [Société Civile Synchrotron SOLEIL, L'Orme des Merisiers, St-Aubin BP48, 91192 Gif-sur-Yvette Cedex (France)
2014-06-23T23:59:59.000Z
We demonstrate the coupling of a scattering near-field scanning optical microscope combined with a Fourier transform infrared spectrometer. The set-up operates using either the near-field thermal emission from the sample itself, which is proportional to the electromagnetic local density of states, or with an external infrared synchrotron source, which is broadband and highly brilliant. We perform imaging and spectroscopy measurements with sub-wavelength spatial resolution in the mid-infrared range on surfaces made of silicon carbide and gold and demonstrate the capabilities of the two configurations for super-resolved near-field mid-infrared hyperspectral imaging and that the simple use of a properly chosen bandpass filter on the detector allows one to image the spatial distribution of materials with sub-wavelength resolution by studying the contrast in the near-field images.
Fourier series notes and examples
2014-10-14T23:59:59.000Z
The Fourier series are useful for describing periodic phenomena. The advantage that the Fourier series has over Taylor series is that the function itself does not ...
Apr 18, 2009 ... Wed, 01/28: Ch 2, pp. 44-48: Convolutions - Mon, 01/26: Ch 2, pp. 39-44 : Uniqueness of Fourier series - Fri, 01/23: Ch 2, pp. 29-33: Riemann ...
Fourier series and periodicity
Donal F. Connon
2014-12-07T23:59:59.000Z
A large number of the classical texts dealing with Fourier series more or less state that the hypothesis of periodicity is required for pointwise convergence. In this paper, we highlight the fact that this condition is not necessary.
Introduction to Fourier Series
2014-10-15T23:59:59.000Z
Oct 15, 2014 ... The Basics. Fourier series. Examples. Even and odd functions. Definition. A function f(x) is said to be even if f(-x) = f(x). The function f(x) is said ...
Metamaterial flexible sheets could transform optics
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Metamaterial flexible sheets could transform optics Metamaterial flexible sheets could transform optics Advances would boost security screening systems, infrared thermal cameras,...
Anlush Fourier Olokl rwma Lebesgue
Giannopoulos, Apostolos
Anlush Fourier kai Olokl rwma Lebesgue PrÃ¬qeirec ShmeiÂ¸seic Tm ma MajhmatikÂ¸n Panepist mio AjhnÂ¸n Aj na, 2012 #12;#12;PerieqÃ¬mena I Anlush Fourier 1 1 3 1.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2 Fourier 21 2.1 . . . . . . . . . . . . . . . . . . . . . . . 21 2.2 Fourier
Representing Periodic Functions by Fourier
Vickers, James
Representing Periodic Functions by Fourier Series 23.2 Introduction In this Section we show how, then the Fourier series expansion takes the form: f(t) = a0 2 + n=1 (an cos nt + bn sin nt) Our main purpose here Fourier coefficients of a function of period 2 calculate Fourier coefficients of a function of general
Factors affecting thermal infrared images at selected field sites
Sisson, J.B.; Ferguson, J.S.
1993-07-01T23:59:59.000Z
A thermal infrared (TIR) survey was conducted to locate surface ordnance in and around the Naval Ordnance Disposal Area, and a thermal anomaly was found. This report documents studies conducted to identify the position of cause of the thermal anomaly. Also included are results of a long path Fourier transform infrared survey, soil sampling activities, soil gas surveys, and buried heater studies. The results of these studies indicated that the thermal anomaly was caused by a gravel pad, which had thermal properties different than those of the surrounding soil. Results from this investigation suggest that TIR is useful for locating surface objects having a high thermal inertia compared to the surrounding terrain, but TIR is of very limited use for characterizing buried waste or other similar buried objects at the INEL.
Generalized Transforms and Special Functions
G. Dattoli; E. Sabia
2010-10-08T23:59:59.000Z
We study the properties of different type of transforms by means of operational methods and discuss the relevant interplay with many families of special functions. We consider in particular the binomial transform and its generalizations. A general method, based on the use of the Fourier transform technique, is proposed for the study of the properties of functions of operators.
Pointwise Fourier Inversion: a Wave Equation Approach
Pointwise Fourier Inversion: a Wave Equation Approach Mark A. Pinsky1 Michael E. Taylor2. A general criterion for pointwise Fourier inversion 2. Pointwise Fourier inversion on Rn (n = 3) 3. Fourier inversion on R2 4. Fourier inversion on Rn (general n) 5. Fourier inversion on spheres 6. Fourier inversion
Pointwise Fourier Inversion: a Wave Equation Approach
Pointwise Fourier Inversion: a Wave Equation Approach Mark A. Pinsky 1 Michael E. Taylor 2. A general criterion for pointwise Fourier inversion 2. Pointwise Fourier inversion on R n (n = 3) 3. Fourier inversion on R 2 4. Fourier inversion on R n (general n) 5. Fourier inversion on spheres 6. Fourier
Accelerating the Fourier split operator method via graphics processing units
Heiko Bauke; Christoph H. Keitel
2010-12-17T23:59:59.000Z
Current generations of graphics processing units have turned into highly parallel devices with general computing capabilities. Thus, graphics processing units may be utilized, for example, to solve time dependent partial differential equations by the Fourier split operator method. In this contribution, we demonstrate that graphics processing units are capable to calculate fast Fourier transforms much more efficiently than traditional central processing units. Thus, graphics processing units render efficient implementations of the Fourier split operator method possible. Performance gains of more than an order of magnitude as compared to implementations for traditional central processing units are reached in the solution of the time dependent Schr\\"odinger equation and the time dependent Dirac equation.
Fourier relationship between angular position and optical orbital angular momentum
Eric Yao; Sonja Franke-Arnold; Johannes Courtial; Stephen Barnett; Miles Padgett
2006-06-15T23:59:59.000Z
We demonstrate the Fourier relationship between angular position and angular momentum for a light mode. In particular we measure the distribution of orbital angular momentum states of light that has passed through an aperture and verify that the orbital angular momentum distribution is given by the complex Fourier-transform of the aperture function. We use spatial light modulators, configured as diffractive optical components, to define the initial orbital angular momentum state of the beam, set the defining aperture, and measure the angular momentum spread of the resulting beam. These measurements clearly confirm the Fourier relationship between angular momentum and angular position, even at light intensities corresponding to the single photon level.
P Yu
2011-12-31T23:59:59.000Z
Unlike traditional 'wet' analytical methods which during processing for analysis often result in destruction or alteration of the intrinsic protein structures, advanced synchrotron radiation-based Fourier transform infrared microspectroscopy has been developed as a rapid and nondestructive and bioanalytical technique. This cutting-edge synchrotron-based bioanalytical technology, taking advantages of synchrotron light brightness (million times brighter than sun), is capable of exploring the molecular chemistry or structure of a biological tissue without destruction inherent structures at ultra-spatial resolutions. In this article, a novel approach is introduced to show the potential of the advanced synchrotron-based analytical technology, which can be used to study plant-based food or feed protein molecular structure in relation to nutrient utilization and availability. Recent progress was reported on using synchrotron-based bioanalytical technique synchrotron radiation-based Fourier transform infrared microspectroscopy and diffused reflectance infrared Fourier transform spectroscopy to detect the effects of gene-transformation (Application 1), autoclaving (Application 2), and bio-ethanol processing (Application 3) on plant-based food and feed protein structure changes on a molecular basis. The synchrotron-based technology provides a new approach for plant-based protein structure research at ultra-spatial resolutions at cellular and molecular levels.
Arbitrary Transform Telescopes: The Generalization of Interferometry
Lacki, Brian C
2015-01-01T23:59:59.000Z
The basic principle of astronomical interferometry is to derive the angular distribution of radiation in the sky from the Fourier transform of the electric field on the ground. What is so special about the Fourier transform? Nothing, it turns out. I consider the possibility of performing other transforms on the electric field with digital technology. The Fractional Fourier Transform (FrFT) is useful for interpreting observations of sources that are close to the interferometer (in the atmosphere for radio interferometers). Essentially, applying the FrFT focuses the array somewhere nearer than infinity. Combined with the other Linear Canonical Transforms, any homogeneous linear optical system with thin elements can be instantiated. The time variation of the electric field can also be decomposed into other bases besides the Fourier modes, which is especially useful for dispersed transients or quick pulses. I discuss why the Fourier basis is so commonly used, and suggest it is partly because most astrophysical so...
Ashkenazy, Yossi "Yosef"
Fourier analysis of light scattered by elongated scatterers Zeev Schiffer, Yosef Ashkenazy, Reuven in the Fourier plane, the size and structure of a single cell is deter- mined by means of a particular inverse Fourier trans- form. However, using such a transform to determine the structural parameters of an entire
Hawthorne, S.B.
1996-04-01T23:59:59.000Z
This document describes activities in the following tasks associated with a project on environmental management technology decontamination and commercialization: A commercialized version of a field-portable instrument for performing supercritical fluid extraction (SFE) with on-line Fourier transform infrared (FT-IR) detection;pyrolysis of plastic wastes associated with mixtures of radioactive wastes;management and reporting activities; centrifugal membrane filtration with application to tank waste remediation; technology development integration activities associated with remedial action and waste management.
Koc,H.; Wetzel, D.
2008-01-01T23:59:59.000Z
The spatial resolution enabled by in situ Fourier-transform infrared (FT-IR) microspectroscopy as predicted from our earlier report in Spectroscopy (1) is applied to localized chemical analysis in this vital biological process of seed germination. Germination includes several different biochemical and structural processes. Ultimately, the entire seed is consumed in sustaining the new life that results after sprouting and growth (2-4). Alpha amylase production is the standard evidence for detection of sprouted (germinated) wheat at harvest. Moist preharvest conditions can cause devastating losses and render the harvested wheat unfit for flour production. Dormancy of dry seeds following harvest retards sprouting under proper storage.
Digital Backpropagation in the Nonlinear Fourier Domain
Wahls, Sander; Prilepsky, Jaroslaw E; Poor, H Vincent; Turitsyn, Sergei K
2015-01-01T23:59:59.000Z
Nonlinear and dispersive transmission impairments in coherent fiber-optic communication systems are often compensated by reverting the nonlinear Schr\\"odinger equation, which describes the evolution of the signal in the link, numerically. This technique is known as digital backpropagation. Typical digital backpropagation algorithms are based on split-step Fourier methods in which the signal has to be discretized in time and space. The need to discretize in both time and space however makes the real-time implementation of digital backpropagation a challenging problem. In this paper, a new fast algorithm for digital backpropagation based on nonlinear Fourier transforms is presented. Aiming at a proof of concept, the main emphasis will be put on fibers with normal dispersion in order to avoid the issue of solitonic components in the signal. However, it is demonstrated that the algorithm also works for anomalous dispersion if the signal power is low enough. Since the spatial evolution of a signal governed by the ...
Fourier Analytic Approach to Phase Estimation
Hiroshi Imai; Masahito Hayashi
2008-10-31T23:59:59.000Z
For a unified analysis on the phase estimation, we focus on the limiting distribution. It is shown that the limiting distribution can be given by the absolute square of the Fourier transform of $L^2$ function whose support belongs to $[-1,1]$. Using this relation, we study the relation between the variance of the limiting distribution and its tail probability. As our result, we prove that the protocol minimizing the asymptotic variance does not minimize the tail probability. Depending on the width of interval, we derive the estimation protocol minimizing the tail probability out of a given interval. Such an optimal protocol is given by a prolate spheroidal wave function which often appears in wavelet or time-limited Fourier analysis. Also, the minimum confidence interval is derived with the framework of interval estimation that assures a given confidence coefficient.
SMOOTH FOURIER MULTIPLIERS ON GROUP VON NEUMANN ALGEBRAS
Mei, Tao
value and the power p are obtained from functional calculus for this (unbounded) operator on 2(G result is a H¨ormander-Mihlin multiplier theorem for finite-dimensional cocycles with optimal smoothness for noncommutative Riesz transforms and characterize L BMO boundedness for radial Fourier multipliers. The key
Fourier Ataca de Nuevo Juan Pablo Pinasco
Pinasco, Juan Pablo
Fourier Ataca de Nuevo Juan Pablo Pinasco Basado parcialmente en el trabajo de Kechris, Set theory and uniqueness for trigonometric series 2007 Juan Pablo Pinasco Fourier Ataca de Nuevo #12;Parte I Fourier Juan Pablo Pinasco Fourier Ataca de Nuevo #12;Fourier (1768-1830) 1807 - 1822 Estudia la propagaciÂ´on del
Infra-Red Surface-Plasmon-Resonance technique for biological studies
V. Lirtsman; M. Golosovsky; D. Davidov
2007-11-18T23:59:59.000Z
We report on a Surface-Plasmon-Resonance (SPR) technique based on Fourier -Transform - Infra - Red (FTIR) spectrometer. In contrast to the conventional surface plasmon technique, operating at a fixed wavelength and a variable angle of incidence, our setup allows the wavelength and the angle of incidence to be varied simultaneously. We explored the potential of the SPR technique in the infrared for biological studies involving aqueous solutions. Using computer simulations, we found the optimal combination of parameters (incident angle, wavelength) for performing this task. Our experiments with physiologically important glucose concentrations in water and in human plasma verified our computer simulations. Importantly, we demonstrated that the sensitivity of the SPR technique in the infrared range is not lower and in fact is even higher than that for visible light. We emphasize the advantages of infra red SPR for studying glucose and other biological molecules in living cells.
Shaka', Huda; Robertson, W H; Finlayson-Pitts, Barbara J
2007-01-01T23:59:59.000Z
2 on OH-processed model sea salt aerosolw Huda Shaka’, W. H.point of the magnesium salt but below that of NaCl. ThisOH-processing of the salt. Further uptake and oxidation of
Shaka', Huda; Robertson, W H; Finlayson-Pitts, Barbara J
2007-01-01T23:59:59.000Z
Oxygen Services Company Ultra High Purity, 4 99.999%) produced by electric discharge using a commer- cial ozonizer (Polymetrics Ozone Generator,
The Fourier integral and its use in the solution of certain boundary value problems
McNutt, Wayne Eugene
1952-01-01T23:59:59.000Z
. & . e s, e . . ~ ~ ~ ~ 5 II. Definitions and Stated Theorerns. ~ ~ ~ ~ . ~ ~. . . 3 III. A Proof for the Convergence of the Fourier Integral. 6 IV, Different Forms of the Fourier Integral, . . . . , . 14 V. Fourier and Laplace Transforrnations... & b. 2. xa(a, b) means a & x ~ b. d 3. = is read "is by def1nition". 4. lf +'' kl ) y dy-1 y y+'"+l, 5. L [ f (t) I is read "the Laplace Transform of f (t)". 6. L ( F(s) ) is read "the inverse Laplace Transform of F(s)". Il. IIefinitions...
Measuring the cosmic shear in Fourier space
Zhang, Jun
2008-01-01T23:59:59.000Z
Measuring the Cosmic Shear in Fourier Space Bernardeau F. ,the Cosmic Shear in Fourier Space Jun Zhang ? Department ofshould be carried out in Fourier space, in which the point
Atmos. Chem. Phys., 14, 97279754, 2014 www.atmos-chem-phys.net/14/9727/2014/
Pierce, Jeffrey
, domestic biofuels, grasses, and other fuels: configuration and Fourier transform infrared (FTIR) component
Wu, Shin-Tson
. The two beams then recombine to generate optical interference. Normally, the variable light path a relatively slow operation speed. It is highly desirable to develop a Fourier transform spectrometer without to avoid mechanical movement in conventional Fourier transform spectrometers. The detailed operation
ENGI 5432 3. Fourier Series Page 3.01 3. Fourier Series
George, Glyn
ENGI 5432 3. Fourier Series Page 3.01 3. Fourier Series This short chapter offers a very brief review of [discrete] Fourier series. The Fourier series of f (x) on the interval (L, L) is ( ) 0 1 cos - = = ... The {an, bn} are the Fourier coefficients of f (x). Note that the cosine functions (and the function 1
Fourier Analytic Approach to Quantum Estimation of Group Action
Masahito Hayashi
2014-09-08T23:59:59.000Z
This article proposes a unified method to estimation of group action by using the inverse Fourier transform of the input state. The method provides optimal estimation for commutative and non-commutative group with/without energy constraint. The proposed method can be applied to projective representations of non-compact groups as well as of compact groups. This paper addresses the optimal estimation of R, U(1), SU(2), SO(3), and R^2 with Heisenberg representation under a suitable energy constraint.
Fourier Analysis of Ghost Imaging
Honglin Liu; Jing Cheng; Yanfeng Bai; Shensheng Han
2006-09-28T23:59:59.000Z
Fourier analysis of ghost imaging (FAGI) is proposed in this paper to analyze the properties of ghost imaging with thermal light sources. This new theory is compatible with the general correlation theory of intensity fluctuation and could explain some amazed phenomena. Furthermore we design a series of experiments to verify the new theory and investigate the inherent properties of ghost imaging.
Fourier duality of quantum curves
Luu, Martin
2015-01-01T23:59:59.000Z
There are two different ways to deform a quantum curve along the flows of the KP hierarchy. We clarify the relation between the two KP orbits: In the framework of suitable connections attached to the quantum curve they are related by a local Fourier duality. As an application we give a conceptual proof of duality results in 2D quantum gravity.
Fourier's Law from Closure Equations
Jean Bricmont; Antti Kupiainen
2006-09-01T23:59:59.000Z
We give a rigorous derivation of Fourier's law from a system of closure equations for a nonequilibrium stationary state of a Hamiltonian system of coupled oscillators subjected to heat baths on the boundary. The local heat flux is proportional to the temperature gradient with a temperature dependent heat conductivity and the stationary temperature exhibits a nonlinear profile.
High Performance Scalable Base-4 Fast Fourier Transform Mapping
Kepner, Jeremy
- - - = = = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 W W 2 W 3 W 4 W 5 W 6 W 7 W 8 W 9 W 10 W 11 W 12 W 13 W 14 W 15 1 W 2 W 4 W 6 W 8 W 10 W 12 W 14 1 W 2 W 4 W 6 W 8 W 10 W 12 W 14 1 W 3 W 6 W 9 W 12 W 15 W 2 W 5 W 8 W 11 W 14 W W 4 W 7 W 10 W 13 1 W 4 W 8 W 12 1 W 4 W 8 W 12 1 W 4 W 8 W 12 1 W 4 W 8 W 12 1 W 5 W 10
Fourier-Mukai transforms and stability conditions on abelian threefolds
Piyaratne, Hathurusinghege Dulip Bandara
2014-11-27T23:59:59.000Z
Construction of Bridgeland stability conditions on a given Calabi-Yau threefold is an important problem and this thesis realizes the rst known examples of such stability conditions. More precisely, we construct a dense ...
Multiple Reference Fourier Transform Holography: Five Images for the Price
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. DOEThe Bonneville PowerCherries 82981-1cnHighandSWPA / SPRA /Ml'.SolarUSAdvanced Materials Advanced Materials Findof
Fourier Duality as a Quantization Principle \\Lambda
Fourier Duality as a Quantization Principle \\Lambda R. Aldrovandi y and L.A. Saeger z Instituto deÂWigner prescription for quantization on Euclidean phase spaces makes essential use of Fourier duality. The extension background for the implementation of Fourier duality on general locally compact groups. Kac algebras
H. C. So Page 1 Semester B 2011-2012 z Transform
So, Hing-Cheung
H. C. So Page 1 Semester B 2011-2012 z Transform Chapter Intended Learning Outcomes: (i) Understanding the relationship between transform and the Fourier transform for discrete-time signals (ii) Understanding the characteristics and properties of transform (iii) Ability to compute transform and inverse
Fourier--Bessel functions of singular continuous measures and their many asymptotics
giorgio mantica
2006-03-27T23:59:59.000Z
We study the Fourier transform of polynomials in an orthogonal family, taken with respect to the orthogonality measure. Mastering the asymptotic properties of these transforms, that we call Fourier--Bessel functions, in the argument, the order, and in certain combinations of the two is required to solve a number of problems arising in quantum mechanics. We present known results, new approaches and open conjectures, hoping to justify our belief that the importance of these investigations extends beyond the application just mentioned, and may involve interesting discoveries.
Fourier analysis of wave turbulence in a thin elastic plate
Nicolas Mordant
2010-06-18T23:59:59.000Z
The spatio-temporal dynamics of the deformation of a vibrated plate is measured by a high speed Fourier transform profilometry technique. The space-time Fourier spectrum is analyzed. It displays a behavior consistent with the premises of the Weak Turbulence theory. A isotropic continuous spectrum of waves is excited with a non linear dispersion relation slightly shifted from the linear dispersion relation. The spectral width of the dispersion relation is also measured. The non linearity of this system is weak as expected from the theory. Finite size effects are discussed. Despite a qualitative agreement with the theory, a quantitative mismatch is observed which origin may be due to the dissipation that ultimately absorbs the energy flux of the Kolmogorov-Zakharov casade.
A. V. Pavlov-Maxorin
2014-10-19T23:59:59.000Z
In article a new class of the odd ore even transforms of Laplace is presented. The class leads to some unforeseeable consequences in direction of the Fourier transforms.The potential of Newton as one of the form of the double Laplace transform is considered too.
Projection and Galaxy Clustering Fourier Spectra
J. N. Fry; David Thomas
1999-09-13T23:59:59.000Z
Second order perturbation theory predicts a specific dependence of the bispectrum, or three-point correlation function in the Fourier transform domain, on the shape of the configuration of its three wave vector arguments, which can be taken as a signature of structure formed by gravitational instability. Comparing this known dependence on configuration shape with the weak shape dependence of the galaxy bispectrum has been suggested as an indication of bias in the galaxy distribution. However, to interpret results obtained from projected catalogs, we must first understand the effects of projection on this shape dependence. We present expressions for the projected power spectrum and bispectrum in both Cartesian and spherical geometries, and we examine the effects of projection on the predicted bispectrum with particular attention to the dependence on configuration shape. Except for an overall numerical factor, for Cartesian projection with characteristic depth $ \\Dstar $ there is little effect on the shape dependence of the bispectrum for wavelengths small compared to $ \\Dstar $ or projected wavenumbers $ q \\Dstar \\gg 1 $. For angular projection, a scaling law is found for spherical harmonic index $ \\ell \\gg 1 $, but there is always a mixing of scales over the range of the selection function. For large $ \\ell $ it is sufficient to examine a small portion of the sky.
FPGA based image processing with R-fuctions and the curvelet transform
Wisinger, John L.
2003-01-01T23:59:59.000Z
"a trous" wavelet 2. Radon. a. The purpose of the radon transform . b. The radon transform 8 8 8 9 9 9 10 10 11 12 12 12 13 14 14 17 17 17 18 CHAPTER Page c. The inverse radon transform. . . . . . . . . . d. The digital radon... transform using the Fourier domain . . e. The finite radon transform. . . . . . . . . . . f. The inverse finite radon transform. . . . . . . 3. Ridgelet. . . . . . . . a. The purpose of the ridgelet transform. . . . . b. The continuous ridgelet...
Weber, J. W.; Bol, A. A. [Department of Applied Physics, Eindhoven University of Technology, Den Dolech 2, P.O. Box 513, 5600 MB Eindhoven (Netherlands); Sanden, M. C. M. van de [Department of Applied Physics, Eindhoven University of Technology, Den Dolech 2, P.O. Box 513, 5600 MB Eindhoven (Netherlands); Dutch Institute for Fundamental Energy Research (DIFFER), Nieuwegein (Netherlands)
2014-07-07T23:59:59.000Z
This work presents an improved thin film approximation to extract the optical conductivity from infrared transmittance in a simple yet accurate way. This approximation takes into account the incoherent reflections from the backside of the substrate. These reflections are shown to have a significant effect on the extracted optical conductivity and hence on derived parameters as carrier mobility and density. By excluding the backside reflections, the error for these parameters for typical chemical vapor deposited (CVD) graphene on a silicon substrate can be as high as 17% and 45% for the carrier mobility and density, respectively. For the mid- and near-infrared, the approximation can be simplified such that the real part of the optical conductivity is extracted without the need for a parameterization of the optical conductivity. This direct extraction is shown for Fourier transform infrared (FTIR) transmittance measurements of CVD graphene on silicon in the photon energy range of 370–7000?cm{sup ?1}. From the real part of the optical conductivity, the carrier density, mobility, and number of graphene layers are determined but also residue, originating from the graphene transfer, is detected. FTIR transmittance analyzed with the improved thin film approximation is shown to be a non-invasive, easy, and accurate measurement and analysis method for assessing the quality of graphene and can be used for other 2-D materials.
SAR image formation with azimuth interpolation after azimuth transform
Doerry; Armin W. (Albuquerque, NM), Martin; Grant D. (Marlborough, MA), Holzrichter; Michael W. (Albuquerque, NM)
2008-07-08T23:59:59.000Z
Two-dimensional SAR data can be processed into a rectangular grid format by subjecting the SAR data to a Fourier transform operation, and thereafter to a corresponding interpolation operation. Because the interpolation operation follows the Fourier transform operation, the interpolation operation can be simplified, and the effect of interpolation errors can be diminished. This provides for the possibility of both reducing the re-grid processing time, and improving the image quality.
DISTRIBUTION OF CO{sub 2} IN SATURN'S ATMOSPHERE FROM CASSINI/CIRS INFRARED OBSERVATIONS
Abbas, M. M.; LeClair, A. [NASA-Marshall Space Flight Center, Huntsville, AL 35812 (United States); Woodard, E.; Young, M.; Stanbro, M. [University of Alabama in Huntsville, Huntsville, AL 35899 (United States); Flasar, F. M.; Achterberg, R. K.; Bjoraker, G.; Brasunas, J.; Jennings, D. E. [NASA-Goddard Space Flight Center, Greenbelt, MD 20771 (United States); Kunde, V. G., E-mail: Mian.M.Abbas@nasa.gov, E-mail: Andre.C.LeClair@nasa.gov, E-mail: eaw0009@uah.edu, E-mail: mcs0001@uah.edu, E-mail: youngmm@uah.edu, E-mail: f.m.flasar@nasa.gov, E-mail: virgil.g.kunde@gsfc.nasa.gov [University of Maryland, College Park, MD 20742 (United States); Collaboration: and the Cassini/CIRS team
2013-10-20T23:59:59.000Z
This paper focuses on the CO{sub 2} distribution in Saturn's atmosphere based on analysis of infrared spectral observations of Saturn made by the Composite Infrared Spectrometer aboard the Cassini spacecraft. The Cassini spacecraft was launched in 1997 October, inserted in Saturn's orbit in 2004 July, and has been successfully making infrared observations of Saturn, its rings, Titan, and other icy satellites during well-planned orbital tours. The infrared observations, made with a dual Fourier transform spectrometer in both nadir- and limb-viewing modes, cover spectral regions of 10-1400 cm{sup –1}, with the option of variable apodized spectral resolutions from 0.53 to 15 cm{sup –1}. An analysis of the observed spectra with well-developed radiative transfer models and spectral inversion techniques has the potential to provide knowledge of Saturn's thermal structure and composition with global distributions of a series of gases. In this paper, we present an analysis of a large observational data set for retrieval of Saturn's CO{sub 2} distribution utilizing spectral features of CO{sub 2} in the Q-branch of the ?{sub 2} band, and discuss its possible relationship to the influx of interstellar dust grains. With limited spectral regions available for analysis, due to low densities of CO{sub 2} and interference from other gases, the retrieved CO{sub 2} profile is obtained as a function of a model photochemical profile, with the retrieved values at atmospheric pressures in the region of ?1-10 mbar levels. The retrieved CO{sub 2} profile is found to be in good agreement with the model profile based on Infrared Space Observatory measurements with mixing ratios of ?4.9 × 10{sup –10} at atmospheric pressures of ?1 mbar.
Paris-Sud XI, UniversitÃ© de
, total variation, Fourier transform, random phase noise, no-reference image quality assessment, imageNo-reference image quality assessment and blind deblurring with sharpness metrics exploiting information of an image to achieve quality assessment, edge detection, and, more recently, blind deblurring
MARTINGALES AND SHARP BOUNDS FOR FOURIER ...
2011-09-22T23:59:59.000Z
Using the argument of Geiss, Montgomery-Smith and Saksman [14], and a new martingale inequality, the Lp–norms of certain Fourier multipliers in Rd, d ? 2, ...
Thermal Infrared Remote Sensing
to us, like reflective ("nearreflective ("near--" infrared (0.7" infrared (0.7 -- 3.03.0 µµm)m) andand near-infrared far infrared ultraviolet Thermal Infrared refers to region o EM spectrum from ~3 - 14 µm.landscape. IMPORTANT: NEARIMPORTANT: NEAR--INFRARED is short enough wavelength toINFRARED is short enough wavelength
Fourier Accelerated Conjugate Gradient Lattice Gauge Fixing
R. J. Hudspith
2014-05-22T23:59:59.000Z
We provide details of the first implementation of a non-linear conjugate gradient method for Landau and Coulomb gauge fixing with Fourier acceleration. We find clear improvement over the Fourier accelerated steepest descent method, with the average time taken for the algorithm to converge to a fixed, high accuracy, being reduced by a factor of 2 to 4.
Math 241: Fourier series: details and convergence University of Pennsylvania
DeTurck, Dennis
Math 241: Fourier series: details and convergence D. DeTurck University of Pennsylvania October 15, 2012 D. DeTurck Math 241 002 2012C: Fourier series 1 / 22 #12;Fourier series We've been using Fourier questions: Â· Do Fourier series converge? Â· What do they converge to? Do they converge to the functions we
Fourier Analysis, Distribution Theory, and Wavelets Bengt Ove Turesson1
Nair, M.Thamban
Fourier Analysis, Distribution Theory, and Wavelets Bengt Ove Turesson1 March 13, 2012 1 . . . . . . . . . . . . . . . . . . . . . . . . . . 13 II Fourier Series 14 2 L1 -theory for Fourier Series 15 2.1 Function Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.2 Fourier Series and Fourier Coefficients . . . . . . . . . . . . . . . . . 15 2.3 Trigonometric
Fourier multiplier-old and new Marius Junge
Junge, Marius
Fourier multiplier-old and new Marius Junge University of Illinois at Urbana-Champaign Alberquerque-April 2014 Marius Junge Fourier multiplier #12;Fourier multiplier-old and new Marius Junge University Fourier multiplier #12;Setup Marius Junge Fourier multiplier #12;Setup > Classical: G = Rn or G = Zn
ON FOURIER COEFFICIENTS OF AUTOMORPHIC FORMS OF GL(n)
Jiang, Dihua
ON FOURIER COEFFICIENTS OF AUTOMORPHIC FORMS OF GL(n) DIHUA JIANG AND BAIYING LIU In memory of I- Fourier coefficient. Its proof follows from the Fourier expansion of the cuspidal automorphic form in terms of its Whittaker-Fourier coefficients. In this paper, we extend this Fourier expansion
Hierlemann, A.; Hill, M.; Ricco, A.J.; Staton, A.W.; Thomas, R.C.
1999-01-11T23:59:59.000Z
We have developed instrumentation to enable the combination of surface acoustic wave (SAW) sensor measurements with direct, in-situ molecular spectroscopic measurements to understand the response of the SAW sensors with respect to the interfacial chemistry of surface-confined sensing films interacting with gas-phase analytes. Specifically, the instrumentation and software was developed to perform in-situ Fourier-transform infrared external-reflectance spectroscopy (FTIR-ERS) on operating SAW devices during dosing of their chemically modified surfaces with analytes. By probing the surface with IR spectroscopy during gas exposure, it is possible to understand in unprecedented detail the interaction processes between the sorptive SAW coatings and the gaseous analyte molecules. In this report, we provide details of this measurement system, and also demonstrate the utility of these combined measurements by characterizing the SAW and FTIR-ERS responses of organic thin-film sensor coatings interacting with gas-phase analytes.
FOURIER ANALYSIS OF EXTENDED FINE STRUCTURE WITH AUTOREGRESSIVE PREDICTION
Barton, J.
2008-01-01T23:59:59.000Z
~ E. O. Brigham, The Fast Fourier Englewood Cliffs~ N.J. ~and sidelobe ratios for Fourier weighting functions. For aof ~k, the full width of the Fourier amplitude mainlobe for
Levin, Robert E. (S. Hamilton, MA); English, George J. (Reading, MA)
1986-08-05T23:59:59.000Z
An infrared floodlight assembly designed particularly for security purposes and including a heat-conducting housing, a lens secured to the housing to provide a closure therefor, and a floodlight located within (and surrounded by) the housing. The floodlight combines the use of a tungsten halogen light source and dichroic hot and cold mirrors for directing substantially only infrared radiation toward the assembly's forward lens. Visible radiation is absorbed by the housing's interior wall(s) and, optionally, by a filter located between the floodlight and lens. An optional means may be used within the floodlight to reflect all forward radiation back toward the paraboloidal hot mirror or, alternatively, to reflect only visible radiation in this direction. The dichroic hot and cold mirrors preferably each comprise a glass substrate having multiple layers of titanium dioxide and silicon dioxide thereon.
The Influence of Particle Size on Infrared Reflectance Spectra
Myers, Tanya L.; Brauer, Carolyn S.; Su, Yin-Fong; Blake, Thomas A.; Johnson, Timothy J.; Richardson, Robert L.
2014-06-13T23:59:59.000Z
Reflectance spectra of solids are influenced by the absorption coefficient as well as the particle size and morphology. In the infrared, spectral features may be observed as either maxima or minima: in general, the upward-going peaks in the reflectance spectrum result from surface scattering, which are rays that have reflected from the surface without penetration, whereas downward-going peaks result from either absorption or volume scattering, i.e. rays that have penetrated into the sample or refracted into the sample interior and are not reflected. The light signal reflected from solids usually encompasses all these effects which include dependencies on particle size, morphology and sample density. This paper measures the reflectance spectra in the 1.3 – 16 micron range for various bulk materials that have a combination of strong and weak absorption bands in order to understand the effects on the spectral features as a function of the mean grain size of the sample. The bulk materials were ground with a mortar and pestle and then sieved to separate the samples into various size fractions: 0-45, 45-90, 90-180, 180-250, 250-500, and >500 microns. The directional-hemispherical spectra were recorded using a Fourier transform infrared spectrometer equipped with an integrating sphere to measure the reflectance for all of the particle-size fractions. We have studied both organic and inorganic materials, but this paper focuses on inorganic salts, NaNO3 in particular. Our studies clearly show that particle size has an enormous influence on the measured reflectance spectra for bulk materials and that successful identification requires sufficient representative reflectance data so as to include the particle size(s) of interest. Origins of the effects are discussed.
Krishna, Sanjay (Albuquerque, NM); Hayat, Majeed M. (Albuquerque, NM); Tyo, J. Scott (Tucson, AZ); Jang, Woo-Yong (Albuquerque, NM)
2011-12-06T23:59:59.000Z
Exemplary embodiments provide an infrared (IR) retinal system and method for making and using the IR retinal system. The IR retinal system can include adaptive sensor elements, whose properties including, e.g., spectral response, signal-to-noise ratio, polarization, or amplitude can be tailored at pixel level by changing the applied bias voltage across the detector. "Color" imagery can be obtained from the IR retinal system by using a single focal plane array. The IR sensor elements can be spectrally, spatially and temporally adaptive using quantum-confined transitions in nanoscale quantum dots. The IR sensor elements can be used as building blocks of an infrared retina, similar to cones of human retina, and can be designed to work in the long-wave infrared portion of the electromagnetic spectrum ranging from about 8 .mu.m to about 12 .mu.m as well as the mid-wave portion ranging from about 3 .mu.m to about 5 .mu.m.
Not Available
2008-09-01T23:59:59.000Z
Summarizes the goals and activities of the DOE Solar Energy Technologies Program efforts within its market transformation subprogram.
Drewes, Frank
Proc. AGTIVE'99, to appear in LNCS Graph Transformation Modules and their Composition ? Frank,knirsch,kreo,kuskeg@informatik.uni-bremen.de Abstract. In this paper, we investigate the notion of transformation modules as a structuring principle. Based on the notion of transformation units, a concept that allows to specify binary relations on graphs
transformations: representations
Nguyen, Dat H.
Overview 1. Number transformations: from one base to another 2. Integer representations 3. Real rate, caches... #12; ECS 50, Discussion on 4/25 2 Integer Transformation: From Decimal to Binary Let, Discussion on 4/25 3 Integer Transformation: From Binary to Decimal Compute the weight of each digit position
Fourier restriction phenomenon in thin sets
Papadimitropoulos, Christos
2010-01-01T23:59:59.000Z
We study the Fourier restriction phenomenon in settings where there is no underlying proper smooth subvariety. We prove an (Lp, L2) restriction theorem in general locally compact abelian groups and apply it in groups ...
Modified Fourier expansions: theory, construction and applications
Adcock, Ben
2010-10-12T23:59:59.000Z
Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective construction and computation...
Jorge L. deLyra
2015-03-24T23:59:59.000Z
A correspondence between arbitrary Fourier series and certain analytic functions on the unit disk of the complex plane is established. The expression of the Fourier coefficients is derived from the structure of complex analysis. The orthogonality and completeness relations of the Fourier basis are derived in the same way. It is shown that the limiting function of any Fourier series is also the limit to the unit circle of an analytic function in the open unit disk. An alternative way to recover the original real functions from the Fourier coefficients, which works even when the Fourier series are divergent, is thus presented. The convergence issues are discussed up to a certain point. Other possible uses of the correspondence established are pointed out.
Computing Fourier Series and Power Spectrum with MATLAB
Storey, Brian D.
Computing Fourier Series and Power Spectrum with MATLAB By Brian D. Storey 1. Introduction Fourier. If you ever watched the blink- ing lights on a stereo equalizer then you have seen Fourier analysis Fourier, a French Mathematician who once served as a scientific adviser to Napoleon, is credited
THE FBI TRANSFORM ON COMPACT C 1 MANIFOLDS JARED WUNSCH AND MACIEJ ZWORSKI
Zworski, Maciej
THE FBI TRANSFORM ON COMPACT C 1 MANIFOLDS JARED WUNSCH AND MACIEJ ZWORSKI 1. Introduction In this paper we discuss the Fourier-Bros-Iagolnitzer (FBI) transform on smooth, boundaryless manifolds-compactness of the cotangent bundle. By reviewing the basic constructions of the FBI transform theory, we hope to make
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrdinger equation
Soatto, Stefano
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger beam FBI transform Reinitialization Schrödinger Backward phase flow a b s t r a c t We propose the backward phase flow method to implement the FourierBrosIagolnitzer (FBI)-transform-based Eulerian
Fuel Cell Technologies Publication and Product Library (EERE)
This Fuel Cell Technologies Program fact sheet outlines current status and challenges in the market transformation of hydrogen and fuel cell technologies.
May, J. Peter
APPLICATIONS OF FOURIER ANALYSIS TO NON-ANALYTIC FIELDS KEVIN QIAN Abstract. Fourier analysis, a classical topic in analysis, can be applied to many nonanalytic fields. This paper explores Fourier analysis in multiple do- mains in order to prove several nonanalytic results. Fourier analysis will be explored
Hydrocarbon fouling of SCR during Premixed Charge Compression...
Broader source: Energy.gov (indexed) [DOE]
* DRIFTS detects HC variation along length of catalyst DRIFTSDiffuse Reflectance Infrared Fourier Transform Spectroscopy * Under current exposure parameters, HCs observed...
Greifswald, Ernst-Moritz-Arndt-UniversitÃ¤t
(2004) 588Â594 PII: S0022-3727(04)66588-0 Fourier transform infrared spectroscopy study of molecular
Spectroscopic Infrared Ellipsometry
Eindhoven, Technische Universiteit
Spectroscopic Infrared Ellipsometry: Components, Calibration, and Application #12;CIP-DATA KONINKLIJKE BIBLIOTHEEK, DEN HAAG Boer, Johannes Henricus Wilhelmus Gerardus den Spectroscopic Infrared in Dutch. ISBN 90 386 0017 8 Subject headings: spectroscopy ellipsometry infrared. #12;Spectroscopic
Thermal Infrared Remote Sensing
Thermal Infrared Remote Sensing Thermal Infrared Remote Sensing #12;0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4 and x-ray Ultraviolet Infrared Microwave and radio waves Wavelength in meters (m) Electromagnetic.77 700 red limit 30k0.041 2.48 green500 near-infrared far infrared ultraviolet Thermal Infrare refers
J Fourier Anal Appl (2009) 15: 488501 DOI 10.1007/s00041-009-9065-1
Maryland at College Park, University of
2009-01-01T23:59:59.000Z
) optimization problem. The case when the coefficients are obtained with the Discrete Fourier Transform (DFT discrete chirps. The number of operations required for reconstruction with these frames grows at most as the cubic power of the dimension of the Hilbert space. Moreover, we present a very efficient algorithm which
Fourier's Law for a Granular Fluid
James W. Dufty
2007-07-07T23:59:59.000Z
Newton' viscosity law for the momentum flux and Fourier's law for the heat flux define Navier-Stokes hydrodynamics for a simple, one component fluid. There is ample evidence that a hydrodynamic description applies as well to a mesoscopic granular fluid with the same form for Newton's viscosity law. However, theory predicts a qualitative difference for Fourier's law with an additional contribution from density gradients even at uniform temperature. The reasons for the absence of such terms for normal fluids are indicated, and a related microscopic explanation for their existence in granular fluids is presented.
Jorge L. deLyra
2015-05-04T23:59:59.000Z
The results presented in this paper are refinements of some results presented in a previous paper. Three such refined results are presented. The first one relaxes one of the basic hypotheses assumed in the previous paper, and thus extends the results obtained there to a wider class of real functions. The other two relate to a closer examination of the issue of the representability of real functions by their Fourier coefficients. As was shown in the previous paper, in many cases one can recover the real function from its Fourier coefficients even if the corresponding Fourier series diverges almost everywhere. In such cases we say that the real function is still representable by its Fourier coefficients. Here we establish a very weak condition on the Fourier coefficients that ensures the representability of the function by those coefficients. In addition to this, we show that any real function that is absolutely integrable can be recovered almost everywhere from, and hence is representable by, its Fourier coefficients, regardless of whether or not its Fourier series converges. Interestingly, this also provides proof for a conjecture proposed in the previous paper.
Broadband mid-infrared frequency upconversion and spectroscopy with
,6] and Fourier transform in- terferometry [2]. Recently, however, we have demon- strated direct detection and components along with less sensitive, more expensive, and lower bandwidth detec- tors. A demonstrated at 1060 nm, with average power of up to 6 W, and 170 fs duration after recompression. These amplified
Surface plasmon Fourier optics A. Archambault,1
Boyer, Edmond
Surface plasmon Fourier optics A. Archambault,1 T. V. Teperik,1, 2 F. Marquier,1 and J.J. Greffet1 plasmons are usually described as surface waves with either a complex wavevector or a complex frequency plasmon a scalar approximation is often used. In this work, we derive two equivalent vectorial
Atmos. Chem. Phys., 14, 577592, 2014 www.atmos-chem-phys.net/14/577/2014/
Meskhidze, Nicholas
And Near infrared Sensor for carbon Observation Fourier Transform Spectrometer), IASI (Infrared and evaluated against surface mole fraction observations via a chemistry-transport model. Apart from SCIAMACHY
News | Argonne National Laboratory
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Mader, a Director's postdoctoral fellow, aligns a diffuse reflectance infrared Fourier transform spectrometer to record the infrared spectrum of molecules absorbed on...
Long-range Fourier domain optical coherence tomography of the pediatric subglottis
2015-01-01T23:59:59.000Z
cat e/ijp o r l Long-range Fourier domain optical coherencechild remains intubated. Fourier domain optical coherencesec). Frequency, or ‘‘Fourier’’, domain swept source OCT (
Infrared study of the absorption edge of {beta}-InN films grown on GaN/MgO structures
Perez-Caro, M.; Rodriguez, A. G.; Vidal, M. A.; Navarro-Contreras, H. [Coordinacion para la Innovacion y la Aplicacion de la Ciencia y la Tecnologia (CIACYT), Universidad Autonoma de San Luis Potosi (UASLP), Alvaro Obregon 64, San Luis Potosi, SLP 78000 (Mexico)
2010-07-15T23:59:59.000Z
Infrared optical studies were carried out in a group of cubic InN samples grown by gas source molecular beam epitaxy on MgO (001) substrates. Room temperature (RT) reflectance and low-temperature (LT) transmittance measurements were performed by using fast Fourier transform infrared spectrometry. Reflectance fittings allowed to establish that {beta}-InN films have large free-carrier concentrations present (>10{sup 19} cm{sup -3}), a result that is corroborated by Hall effect measurements. Each sample explored exhibited a different optical absorption edge. The Varshni parameters that describe adequately the optical absorption edge responses with temperature are obtained for the set of samples studied. The observed temperatures changes, from LT to RT, are the lowest reported for III-V semiconductor binary compounds. The temperature coefficient of the conduction band depends on the strength of the electron-phonon interaction (e-ph-i), as well as on the thermal expansion. It has been predicted that cubic InN has one of the smallest e-ph-i of all III-V compounds, which is corroborated by these results. The variation in values of absorption edges is clearly consistent with the Burstein-Moss and band renormalization effects, produced by high free electron concentrations. It is shown that the conduction band in {beta}-InN, analogous to wurtzite InN, follows a nonparabolic behavior.
SPATIAL TRANSFORMATIONS 1 Running head: Spatial transformations
Zacks, Jeffrey M.
SPATIAL TRANSFORMATIONS 1 Running head: Spatial transformations Multiple Systems for Spatial Imagery: Transformations of Objects and Bodies Jeffrey M. Zacks* and Barbara Tversky * Washington COGNITION & COMPUTATION #12;SPATIAL TRANSFORMATIONS 2 Abstract Problem-solving often requires imagining
Fourier Modeling of the Radio Torus Surrounding Supernova 1987A
C. -Y. Ng; B. M. Gaensler; L. Staveley-Smith; R. N. Manchester; M. J. Kesteven; L. Ball; A. K. Tzioumis
2008-05-27T23:59:59.000Z
We present detailed Fourier modeling of the radio remnant of Supernova 1987A, using high-resolution 9 GHz and 18 GHz data taken with the Australia Telescope Compact Array over the period 1992 to 2008. We develop a parameterized three-dimensional torus model for the expanding radio shell, in which the emission is confined to an inclined equatorial belt; our model also incorporates both a correction for light travel-time effects and an overall east-west gradient in the radio emissivity. By deriving an analytic expression for the two-dimensional Fourier transform of the projected three-dimensional brightness distribution, we can fit our spatial model directly to the interferometric visibility data. This provides robust estimates to the radio morphology at each epoch. The best-fit results suggest a constant remnant expansion at 4000 +/- 400 km/s over the 16-year period covered by the observations. The model fits also indicate substantial mid-latitude emission, extending to 40 degree on either side of the equatorial plane. This likely corresponds to the extra-planar structure seen in H$\\alpha$ and Ly$\\alpha$ emission from the supernova reverse shock, and broadly supports hydrodynamic models in which the complex circumstellar environment was produced by a progression of interacting winds from the progenitor. Our model quantifies the clear asymmetry seen in the radio images: we find that the eastern half of the radio remnant is consistently ~40 brighter than the western half at all epochs, which may result from an asymmetry in the ejecta distribution between these two hemispheres.
Automated High-Pressure Titration System with In Situ Infrared Spectroscopic Detection
Thompson, Christopher J.; Martin, Paul F.; Chen, Jeffrey; Benezeth, Pascale; Schaef, Herbert T.; Rosso, Kevin M.; Felmy, Andrew R.; Loring, John S.
2014-04-17T23:59:59.000Z
A fully automated titration system with infrared detection was developed for investigating interfacial chemistry at high pressures. The apparatus consists of a high-pressure fluid generation and delivery system coupled to a high-pressure cell with infrared optics. A manifold of electronically actuated valves is used to direct pressurized fluids into the cell. Precise reagent additions to the pressurized cell are made with calibrated tubing loops that are filled with reagent and placed in-line with the cell and a syringe pump. The cell’s infrared optics facilitate both transmission and attenuated total reflection (ATR) measurements to monitor bulk-fluid composition and solid-surface phenomena such as adsorption, desorption, complexation, dissolution, and precipitation. Switching between the two measurement modes is accomplished with moveable mirrors that direct radiation from a Fourier transform infrared spectrometer into the cell along transmission or ATR light paths. The versatility of the high-pressure IR titration system is demonstrated with three case studies. First, we titrated water into supercritical CO2 (scCO2) to generate an infrared calibration curve and determine the solubility of water in CO2 at 50 °C and 90 bar. Next, we characterized the partitioning of water between a montmorillonite clay and scCO2 at 50 °C and 90 bar. Transmission-mode spectra were used to quantify changes in the clay’s sorbed water concentration as a function of scCO2 hydration, and ATR measurements provided insights into competitive residency of water and CO2 on the clay surface and in the interlayer. Finally, we demonstrated how time-dependent studies can be conducted with the system by monitoring the carbonation reaction of forsterite (Mg2SiO4) in water-bearing scCO2 at 50 °C and 90 bar. Immediately after water dissolved in the scCO2, a thin film of adsorbed water formed on the mineral surface, and the film thickness increased with time as the forsterite began to dissolve. However, after approximately 2.5 hours, the trend reversed, and a carbonate precipitate began to form on the forsterite surface, exposing dramatic chemical changes in the thin-water film. Collectively, these applications illustrate how the high-pressure IR titration system can provide molecular-level information about the interactions between variably wet scCO2 and minerals relevant to underground storage of CO2 (geologic carbon sequestration). The apparatus could also be utilized to study high-pressure interfacial chemistry in other areas such as catalysis, polymerization, food processing, and oil and gas recovery.
Automated high-pressure titration system with in situ infrared spectroscopic detection
Thompson, Christopher J., E-mail: chris.thompson@pnnl.gov; Martin, Paul F.; Chen, Jeffrey; Schaef, Herbert T.; Rosso, Kevin M.; Felmy, Andrew R.; Loring, John S. [Pacific Northwest National Laboratory, Richland, Washington 99352 (United States)] [Pacific Northwest National Laboratory, Richland, Washington 99352 (United States); Benezeth, Pascale [Géosciences Environnement Toulouse (GET), CNRS-Université de Toulouse, 31400 Toulouse (France)] [Géosciences Environnement Toulouse (GET), CNRS-Université de Toulouse, 31400 Toulouse (France)
2014-04-15T23:59:59.000Z
A fully automated titration system with infrared detection was developed for investigating interfacial chemistry at high pressures. The apparatus consists of a high-pressure fluid generation and delivery system coupled to a high-pressure cell with infrared optics. A manifold of electronically actuated valves is used to direct pressurized fluids into the cell. Precise reagent additions to the pressurized cell are made with calibrated tubing loops that are filled with reagent and placed in-line with the cell and a syringe pump. The cell's infrared optics facilitate both transmission and attenuated total reflection (ATR) measurements to monitor bulk-fluid composition and solid-surface phenomena such as adsorption, desorption, complexation, dissolution, and precipitation. Switching between the two measurement modes is accomplished with moveable mirrors that direct the light path of a Fourier transform infrared spectrometer into the cell along transmission or ATR light paths. The versatility of the high-pressure IR titration system was demonstrated with three case studies. First, we titrated water into supercritical CO{sub 2} (scCO{sub 2}) to generate an infrared calibration curve and determine the solubility of water in CO{sub 2} at 50?°C and 90 bar. Next, we characterized the partitioning of water between a montmorillonite clay and scCO{sub 2} at 50?°C and 90 bar. Transmission-mode spectra were used to quantify changes in the clay's sorbed water concentration as a function of scCO{sub 2} hydration, and ATR measurements provided insights into competitive residency of water and CO{sub 2} on the clay surface and in the interlayer. Finally, we demonstrated how time-dependent studies can be conducted with the system by monitoring the carbonation reaction of forsterite (Mg{sub 2}SiO{sub 4}) in water-bearing scCO{sub 2} at 50?°C and 90 bar. Immediately after water dissolved in the scCO{sub 2}, a thin film of adsorbed water formed on the mineral surface, and the film thickness increased with time as the forsterite began to dissolve. However, after approximately 2.5 h, the trend reversed, and a carbonate precipitate began to form on the forsterite surface, exposing dramatic chemical changes in the thin-water film. Collectively, these applications illustrate how the high-pressure IR titration system can provide molecular-level information about the interactions between variably wet scCO{sub 2} and minerals relevant to underground storage of CO{sub 2} (geologic carbon sequestration). The apparatus could also be utilized to study high-pressure interfacial chemistry in other areas such as catalysis, polymerization, food processing, and oil and gas recovery.
Local Fourier analysis for staggered systems of PDEs
MacLachlan, Scott
Local Fourier analysis for staggered systems of PDEs Scott MacLachlan scott.maclachlan@tufts.edu Tufts University and Kees Oosterlee TU-Delft and CWI April 10, 2008 Local Fourier analysis for staggered of complementary processes Â· Relaxation Â· Coarse-grid correction Local Fourier analysis for staggered systems
PhD thesis proposal GDFSUEZ University Joseph Fourier
1 PhD thesis proposal GDFSUEZ University Joseph Fourier Thesis title Mineralization, University Joseph Fourier, Grenoble (http://isterre.fr) Advisors: François Renard (Prof. University J. Fourier Grenoble I) and German Montes Hernandez (CNRS scientistHDR) GDFSUEZ researchers Background
A fourier pseudospectral method for some computational aeroacoustics
Huang, Xun
A fourier pseudospectral method for some computational aeroacoustics problems Xun Huang* and Xin, Southampton, SO17 1BJ, UK ABSTRACT A Fourier pseudospectral time-domain method is applied to wave propagation problems pertinent to computational aeroacoustics. The original algorithm of the Fourier pseudospectral
Fourier-Motzkin elimination for mixed systems
Liepins, G.E.
1983-08-01T23:59:59.000Z
A simple extension of Fourier-Motzkin elimination is made to mixed systems of equations, that is, systems consisting of equalities in conjunction with inequalities and strict inequalities. The principal observation is that inequalities combined with strict inequalities result in strict inequalities. Two applications are made to automatic data editing. First, a constructive method is provided to test for the existence of a linear objective function for the minimum weighted fields to impute (MWFI) problem with side constraints. If the linear objective function exists, it is determined; if it does not exist, the extension to a quadratic objective function is given. Next, for any fixed linear objective function, a solution algorithm based on extended Fourier-Motzkin elimination is given for the resultant MWFI and is illustrated with an example. It is believed that the applications are significant in their own right: they provide solution techniques to difficult problems in the field of automatic data editing.
Infrared Thermography (IRT) Working Group
Broader source: Energy.gov (indexed) [DOE]
Infrared Thermography (IRT) Working Group Sco McWilliams U.S. Photovoltaic Manufacturing Consor;um (PVMC) Infrared Thermography Infrared Thermography (IRT) has been demonstrated...
Umstadter, Donald
Repetitive petawatt-class laser with near-diffraction-limited focal spot and transform-loop feedback control systems in the temporal and spatial domains are used to yield Fourier-transform acceleration and x-ray generation. Keywords: petawatt, diffraction limited, transform limited, spatial
Methods for performing fast discrete curvelet transforms of data
Candes, Emmanuel (Los Angeles, CA); Donoho, David (Setauket, NY); Demanet, Laurent (Pasadena, CA)
2010-11-23T23:59:59.000Z
Fast digital implementations of the second generation curvelet transform for use in data processing are disclosed. One such digital transformation is based on unequally-spaced fast Fourier transforms (USFFT) while another is based on the wrapping of specially selected Fourier samples. Both digital transformations return a table of digital curvelet coefficients indexed by a scale parameter, an orientation parameter, and a spatial location parameter. Both implementations are fast in the sense that they run in about O(n.sup.2 log n) flops for n by n Cartesian arrays or about O(N log N) flops for Cartesian arrays of size N=n.sup.3; in addition, they are also invertible, with rapid inversion algorithms of about the same complexity.
The Laplace Transform 1 Laplace transform and inverse transform
Yengulalp, Lynne
The Laplace Transform Name: 1 Laplace transform and inverse transform Definition. Let f(t) be a function defined for t 0. Then the integral L {f(t)} = 0 e-st f(t)dt is said to be the Laplace transform of f provided the integral converges. Fill in the following Laplace transforms. L {tn } = L {eat } = L
Christov, Ivan C.
Introduction Nonlinear Fourier Analysis Ocean Internal Waves KdV Hidden Solitons Closure Two case studies in nonlinear Fourier analysis: Ocean internal solitary waves and the ZabuskyKruskal solitons Ivan Engineering, The University of Sheffield September 10, 2010 Ivan C. Christov (NU) Nonlinear Fourier Analysis
Christov, Ivan C.
Introduction Nonlinear Fourier Analysis Ocean Internal Waves KdV Hidden Solitons Closure Two case studies in nonlinear Fourier analysis: Ocean internal solitary waves and the ZabuskyKruskal solitons Ivan Ivan C. Christov (PU) Nonlinear Fourier Analysis INRNE Seminar 1 / 26 #12;Introduction Nonlinear
Harding E. Smith
2002-03-06T23:59:59.000Z
From the earliest extragalactic infrared studies AGN have shown themselves to be strong infrared sources and IR surveys have revealed new populations of AGN. I briefly review current motivations for AGN surveys in the infrared and results from previous IR surveys. The Luminous Infrared Galaxies, which in some cases house dust-enshrouded AGN, submillimeter surveys, and recent studies of the cosmic x-ray and infrared backgrounds suggest that there is a population of highly-obscured AGN at high redshift. ISO Surveys have begun to resolve the infrared background and may have detected this obscured AGN population. New infrared surveys, particularly the SIRTF Wide-area Infrared Extragalactic Legacy Survey (SWIRE), will detect this population and provide a platform for understanding the evolution of AGN, Starbursts and passively evolving galaxies in the context of large-scale structure and environment.
Infrared Inspection Techniques
Hill, A. B.; Bevers, D. V.
1979-01-01T23:59:59.000Z
Infrared scanning equipment has been used at Amoco's Texas City refinery since 1971 as an inspection tool. A camera scans the field of view and focuses the infrared radiation on a detector which converts the infrared signal to an electrical signal...
Infrared Inspection Techniques
Hill, A. B.; Bevers, D. V.
1979-01-01T23:59:59.000Z
Infrared scanning equipment has been used at Amoco's Texas City refinery since 1971 as an inspection tool. A camera scans the field of view and focuses the infrared radiation on a detector which converts the infrared signal to an electrical signal...
Transformers Transformer device used to raise (for
Bertulani, Carlos A. - Department of Physics and Astronomy, Texas A&M University
Transformers Transformer device used to raise (for transmission) and lower (for use) the ac with different #s of turns #12;Transformers Alternating primary current induces alternating magnetic flux in iron dt d NV B PP -= dt d NV B SS -= S S P P N V N V = #12;Transformers Transformation of voltage
Zhang, Bingpo; Cai, Chunfeng; Jin, Shuqiang; Ye, Zhenyu; Wu, Huizhen, E-mail: hzwu@zju.edu.cn [Department of Physics and State Key Laboratory of Silicon Materials, Zhejiang University, Hangzhou, Zhejiang 310027 (China); Qi, Zhen [National Laboratory for Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083 (China)
2014-07-14T23:59:59.000Z
Step-scan Fourier-transform infrared photoreflectance and modulated photoluminescence spectroscopy were used to characterize the optical transitions of the epitaxial PbTe thin film grown by molecular beam epitaxy on BaF{sub 2} (111) substrate in the vicinity of energy gap of lead telluride at 77?K. It is found that the intrinsic defect energy levels in the electronic structure are of resonant nature. The Te-vacancy energy level is located above the conduction band minimum by 29.1?meV. Another defect (V{sub X}) energy level situated below valance band maximum by 18.1?meV is also revealed. Whether it is associated with the Pb vacancy is still not clear. It might also be related to the misfit dislocations stemming from the lattice mismatch between PbTe and BaF{sub 2} substrate. The experimental results support the theory prediction (N. J. Parada and G. W. Pratt, Jr., Phys. Rev. Lett. 22, 180 (1969), N. J. Parada, Phys. Rev. B 3, 2042 (1971)) and are consistent with the reported Hall experimental results (G. Bauer, H. Burkhard, H. Heinrich, and A. Lopez-Otero, J. Appl. Phys. 47, 1721 (1976)).
Infrared Spectroscopic, X-ray and Nanoscale Characterization of Strontium Titanate Thin Films
Webb, J. D.; Moutinho, H. R.; Kazmerski, L. L.; Mueller, C. H.; Rivkin, T. V.; Treece, R. E.; Dalberth, M.; Rogers, C. T.
1997-01-01T23:59:59.000Z
Attenuated total reflectance (ATR) measurements were performed using Fourier transform infrared (FTIR) spectroscopy in the ATR mode with a thallium iodobromide (KRS-5) crystal to measure the frequencies of the v{sub 3} and v{sub 4} phonon absorption bands in thin strontium titanate films deposited on single-crystal yttrium-barium copper oxide (YBCO), lanthanum aluminate, magnesium oxide, and strontium titanate substrates. The KRS-5 crystal enabled FTIR-ATR measurements to be made at frequencies above 400 cm-1. Atomic force microscopy (AFM) and X-ray diffraction (XRD) measurements were also made to further characterize the films. The measurements were repeated on single-crystal specimens of strontium titanate and the substrates for comparison. Softening in the frequency of the v{sub 4} transverse optical phonon in the lattice-mismatched films below the established value of 544 cm-1 is indicative of the highly textured, polycrystalline ceramic nature of the films and is consistent with the XRD and AFM results.
Fourier Phase Analysis of SDSS Galaxies
Chiaki Hikage; Takahiko Matsubara; Yasushi Suto; Changbom Park; Alexander S. Szalay; Jon Brinkmann
2005-09-13T23:59:59.000Z
We present a first analysis of the clustering of SDSS galaxies using the distribution function of the sum of Fourier phases. This statistic was recently proposed by one of authors as a new method to probe phase correlations of cosmological density fields. Since the Fourier phases are statistically independent of Fourier amplitudes, the phase statistic plays a complementary role to the conventional two-point statistics of galaxy clustering. In particular, we focus on the distribution functions of phase sum over three closed wavevectors as a function of the configurations of triangle wavevectors. We find that the observed distribution functions of phase sum are in good agreement with the lowest-order approximation from perturbation theory. For direct comparison with observations, we construct mock catalogs from N-body simulations taking account of several observational effects such as the survey geometry, the redshift distortion, and the discreteness due to the limited number of data. Indeed the observed phase correlations for the galaxies in the range of absolute magnitude -22
Fourier methods for estimating power system stability limits
Marceau, R.J.; Galiana, F.D. (McGill Univ., Montreal, Quebec (Canada). Dept. of Electrical Engineering); Mailhot, R.; Denomme, F.; McGillis, D.T. (Hydro Quebec, Montreal, Quebec (Canada))
1994-05-01T23:59:59.000Z
This paper shows how the use of new generation tools such as a generalized shell for dynamic security analysis can help improve the understanding of fundamental power systems behavior. Using the ELISA prototype shell as a laboratory tool, it is shown that the signal energy of the network impulse response acts as a barometer to define the relative severity of a contingency with respect to some parameter, for instance power generation or power transfer. In addition, for a given contingency, as the parameter is varied and a network approaches instability, signal energy increases smoothly and predictably towards an asymptote which defines the network's stability limit: this, in turn, permits comparison of the severity of different contingencies. Using a Fourier transform approach, it is shown that this behavior can be explained in terms of the effect of increasing power on the damping component of a power system's dominant poles. A simple function is derived which estimates network stability limits with surprising accuracy from two or three simulations, provided that at least one of these is within 5% of the limit. These results hold notwithstanding the presence of many active, nonlinear voltage-support elements (i.e. generators, synchronous condensers, SVCs, static excitation systems, etc.) in the network.
Shibahashi, Hiromoto
2012-01-01T23:59:59.000Z
Some pulsating stars are good clocks. When they are found in binary stars, the frequencies of their luminosity variations are modulated by the Doppler effect caused by orbital motion. For each pulsation frequency this manifests itself as a multiplet separated by the orbital frequency in the Fourier transform of the light curve of the star. We derive the theoretical relations to exploit data from the Fourier transform to derive all the parameters of a binary system traditionally extracted from spectroscopic radial velocities, including the mass function which is easily derived from the amplitude ratio of the first orbital sidelobes to the central frequency for each pulsation frequency. This is a new technique that yields radial velocities from the Doppler shift of a pulsation frequency, thus eliminates the need to obtain spectra. For binary stars with pulsating components, an orbital solution can be obtained from the light curve alone. We give a complete derivation of this and demonstrate it both with artifici...
Fourier analysis of the flux-tube distribution in SU(3) lattice QCD
Arata Yamamoto
2010-04-16T23:59:59.000Z
This letter presents a novel analysis of the action/energy density distribution around a static quark-antiquark pair in SU(3) lattice quantum chromodynamics. Using the Fourier transformation of the link variable, we remove the high-momentum gluon and extract the flux-tube component from the action/energy density. When the high-momentum gluon is removed, the statistical fluctuation is drastically suppressed, and the singularities from the quark self-energy disappear. The obtained flux-tube component is broadly distributed around the line connecting the quark and the antiquark.
Fourier phase analysis in radio-interferometry
Francois Levrier; Edith Falgarone; Francois Viallefond
2006-06-09T23:59:59.000Z
Most statistical tools used to characterize the complex structures of the interstellar medium can be related to the power spectrum, and therefore to the Fourier amplitudes of the observed fields. To tap into the vast amount of information contained in the Fourier phases, one may consider the probability distribution function (PDF) of phase increments, and the related concepts of phase entropy and phase structure quantity. We use these ideas here with the purpose of assessing the ability of radio-interferometers to detect and recover this information. By comparing current arrays such as the VLA and Plateau de Bure to the future ALMA instrument, we show that the latter is definitely needed to achieve significant detection of phase structure, and that it will do so even in the presence of a fair amount of atmospheric phase fluctuations. We also show that ALMA will be able to recover the actual "amount'' of phase structure in the noise-free case, if multiple configurations are used.
Generalized discrete orbit function transforms of affine Weyl groups
Tomasz Czy?ycki; Ji?í Hrivnák
2014-11-14T23:59:59.000Z
The affine Weyl groups with their corresponding four types of orbit functions are considered. Two independent admissible shifts, which preserve the symmetries of the weight and the dual weight lattices, are classified. Finite subsets of the shifted weight and the shifted dual weight lattices, which serve as a sampling grid and a set of labels of the orbit functions, respectively, are introduced. The complete sets of discretely orthogonal orbit functions over the sampling grids are found and the corresponding discrete Fourier transforms are formulated. The eight standard one-dimensional discrete cosine and sine transforms form special cases of the presented transforms.
Infrared microscope inspection apparatus
Forman, S.E.; Caunt, J.W.
1985-02-26T23:59:59.000Z
Apparatus and system for inspecting infrared transparents, such as an array of photovoltaic modules containing silicon solar cells, includes an infrared microscope, at least three sources of infrared light placed around and having their axes intersect the center of the object field and means for sending the reflected light through the microscope. The apparatus is adapted to be mounted on an X-Y translator positioned adjacent the object surface. 4 figs.
Testability Transformation --Program Transformation to Improve Testability
Binkley, David W.
Testability Transformation -- Program Transformation to Improve Testability Mark Harman1 , Andr, 26 Richmond Street, Glasgow G1 1XH, UK. Corresponding Author. Abstract. Testability transformation. The goal is to improve the testing process by transforming a program to one that is more amenable
Testability Transformation: Program Transformation to Improve Testability
Singer, Jeremy
Testability Transformation: Program Transformation to Improve Testability An Overview of Recent Author. Abstract. Testability transformation is a new form of program transfor- mation in which the goal to some chosen test adequacy criterion. The goal is to improve the testing process by transforming
ALMA : Fourier phase analysis made possible
F. Levrier; E. Falgarone; F. Viallefond
2007-04-18T23:59:59.000Z
Fourier phases contain a vast amount of information about structure in direct space, that most statistical tools never tap into. We address ALMA's ability to detect and recover this information, using the probability distribution function (PDF) of phase increments, and the related concepts of phase entropy and phase structure quantity. We show that ALMA, with its high dynamical range, is definitely needed to achieve significant detection of phase structure, and that it will do so even in the presence of a fair amount of atmospheric phase noise. We also show that ALMA should be able to recover the actual "amount" of phase structure in the noise-free case, if multiple configurations are used.
applying fourier optics: Topics by E-print Network
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
applying fourier optics First Page Previous Page 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Next Page Last Page Topic Index 1 Fourier Optics on Graphene CERN...
Complex Wavenumber Fourier Analysis of the PVersion Finite Element Method
Thompson, Lonny L.
Complex Wavenumber Fourier Analysis of the PVersion Finite Element Method Lonny L. Thompson wave solutions. This type of analysis amounts to a discrete Fourier synthesis of the finite element bands in the context of finite element analysis were not fully understood, although there is some
Direct-to-digital holography reduction of reference hologram noise and fourier space smearing
Voelkl, Edgar
2006-06-27T23:59:59.000Z
Systems and methods are described for reduction of reference hologram noise and reduction of Fourier space smearing, especially in the context of direct-to-digital holography (off-axis interferometry). A method of reducing reference hologram noise includes: recording a plurality of reference holograms; processing the plurality of reference holograms into a corresponding plurality of reference image waves; and transforming the corresponding plurality of reference image waves into a reduced noise reference image wave. A method of reducing smearing in Fourier space includes: recording a plurality of reference holograms; processing the plurality of reference holograms into a corresponding plurality of reference complex image waves; transforming the corresponding plurality of reference image waves into a reduced noise reference complex image wave; recording a hologram of an object; processing the hologram of the object into an object complex image wave; and dividing the complex image wave of the object by the reduced noise reference complex image wave to obtain a reduced smearing object complex image wave.
Fourier Analysis In addition to their inestimable importance in mathematics and its applications,
Olver, Peter
Chapter 13 Fourier Analysis In addition to their inestimable importance in mathematics and its applications, Fourier series also serve as the entry point into the wonderful world of Fourier analy- sis the theory and enlarging the scope of applications of FourierÂinspired methods. New directions in Fourier
Fourier Methods for Harmonic Scalar Waves in General Waveguides
Anders Andersson; Borje Nilsson; Thomas Biro
2015-06-01T23:59:59.000Z
A set of semi-analytical techniques based on Fourier analysis is used to solve wave scattering problems in variously shaped waveguides with varying normal admittance boundary conditions. Key components are newly developed conformal mapping methods, wave splitting, Fourier series expansions in eigen-functions to non-normal operators, the building block method or the cascade technique, Dirichlet-to-Neumann operators, and reformulation in terms of stable differential equations for reflection and transmission matrices. For an example the results show good correspondence with a finite element method solution to the same problem in the low and medium frequency domain. The Fourier method complements finite element analysis as a waveguide simulation tool. For inverse engineering involving tuning of straight waveguide parts joining complicated waveguide elements, the Fourier method is an attractive alternative including time aspects. The prime motivation for the Fourier method is its added physical understanding primarily at low frequencies.
Pilgrim, Richard Allen
1994-01-01T23:59:59.000Z
-&equency sample be sized based on the defined resolution at the frequency of the sample, as can be seen in Fig. 5. a) CWT b) STFT tp lp scale a c) CWT STFT 4fp 2fp fp scale a = Ii ( f afp 2fp fp Fig. 5: Regions of Influence of a Dirac Pulse at f = f... . . . . . . . . . . . . . E. Research Objectives F. Summary of Chapters 1 2 4 6 7 7 II A SURVEY OF PREVIOUS RESEARCH. . . . . A. Previous Work with the STFT. . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . 9 B. Previous Work with the Wavelet...
Moura, José
: (1) have large impact on the runtime and en- ergy of computing the discrete Fourier transformSPIRAL: JOINT RUNTIME AND ENERGY OPTIMIZATION OF LINEAR TRANSFORMS Marek Telgarsky, James C. Hoe simultaneous runtime, energy and/or power constraints. Hence, in addition to runtime, power and energy
Convergence of two-dimensional Fourier series
Kidd, Robert Henry, III
1962-01-01T23:59:59.000Z
), then the two-dimensional Fourier series equivalent to f(x, y) is Co CO Co Co f(x, y) = L' L' A sin(nx) sin (my) + Z Z B sin(@x)cos(my) n=l m=1 n=l m=1 1 CG Co co + ? F, B sin(nx) + Z Z C cos (nx) sin(my) + ? Z C sin(my) 2 1 n, o n, m 2 I OIm Co Co OO... 1 + g P D cos(nx)cos(my)+ ? Z D cos(nx) ? g D cos(my) n, m 2 1 n 0 2 o, m + ? D 1 4 o, o where A 1 n, m ? w B 1 n, m 2 w B 1 n, o 2 w C 1 n, m 2 w (w, w) f(x, y) sin (nx) sin(my) d(x, y) (-w, -w) (w, w) f(x, y) sin (nx) cos...
ENGI 9420 7.03 -Half Range Fourier Series Page 7.12 7.03 Half-Range Fourier Series
George, Glyn
ENGI 9420 7.03 - Half Range Fourier Series Page 7.12 7.03 Half-Range Fourier Series A Fourier extension leads to a Fourier sine series: 1 sinn n n x f x b L where 0 2 sin , 1, 2, 3, L n n x b f x dx n L L An even extension leads to a Fourier cosine series: 0 1 cos 2 n n a n x
D. B. Sanders
1999-03-30T23:59:59.000Z
Infrared observations of complete samples of active galactic nuclei (AGN) have shown that a substantial fraction of their bolometric luminosity is emitted at wavelengths ~8-1000microns. In radio-loud and Blazar-like objects much of this emission appears to be direct non-thermal synchrotron radiation. However, in the much larger numbers of radio-quiet AGN it is now clear that thermal dust emission is responsible for the bulk of radiation from the near-infrared through submillimeter wavelengths. Luminous infrared-selected AGN are often surrounded by powerful nuclear starbursts, both of which appear to be fueled by enormous supplies of molecular gas and dust funneled into the nuclear region during the strong interaction/merger of gas rich disks. All-sky surveys in the infrared show that luminous infrared AGN are at least as numerous as optically-selected AGN of comparable bolometric luminosity, suggesting that AGN may spend a substantial fraction of their lifetime in a dust-enshrouded phase. The space density of luminous infrared AGN at high redshift may be sufficient to account for much of the X-Ray background, and for a substantial fraction of the far-infrared background as well. These objects plausibly represent a major epoch in the formation of spheroids and massive black holes (MBH).
GIS TRANSFORMATIONS Conference Presentation
Tobler, Waldo
GIS TRANSFORMATIONS Conference Presentation Waldo Tobler Geography Department University, line, area, or field phenomena, then the sixteen common classes of transformation are: point -> point (scalar, vector, tensor) data, to obtain eighty distinct possible classes of transformation. The common
Filter-feature-based rotation-invariant joint Fourier transform correlator
Ahmed, Farid
filter 1SDF2 approach.9,10 A minimum-variance SDF11 and a minimum-average correlation energy filter12 are examples of two such composite filter formulations. The minimum-variance SDF has optimal noise toler- ance modulation in SDF construction has already been proposed14,15 to improve invariance per- formance. A recent
Matching-pursuit/split-operator-Fourier-transform computations of thermal correlation functions
Wu, Yinghua
of quantum processes in multidimen- sional systems. The MP/SOFT methodology is based on the recursive a coupled system of differential equations. Further, the MP/SOFT method implements a successive orthogonal A rigorous and practical methodology for evaluating thermal-equilibrium density matrices, finite
Hussain, Z.
2013-01-01T23:59:59.000Z
under Contract No. W-7405-ENG-48. Work done at Milwaukee wasEnergy under Contract W-7405-ENG-48 DISCLAIMER This document
Electro-optically modulated polarizing Fourier-transform spectrometer for plasma
Howard, John
-integrated emis- The author is with the Plasma Research Laboratory, Australian National University, Canberra
LARGE-SCALE COVER SONG RECOGNITION USING THE 2D FOURIER TRANSFORM MAGNITUDE
Ellis, Dan
for self-identified cover songs of Lady Gaga on YouTube on November 22nd, 2011. This simple query produces
Integration and testing of FTS-2: an imaging Fourier transform spectrometer for SCUBA-2
Naylor, David A.
the final construction phase. The optical design of the interferometer and modeled performance is presented resolution ranging from resolving powers of R ~10 to 5000. Details of the instrument design, optical modeling, data reduction pipeline and calibration plan which have changed since the project CDR are discussed
Bricker, Donald Lee
1986-01-01T23:59:59.000Z
is the electric field strength in. v/m and t ~ 2rB/E (6) B is the magnetic field strength in tesla. 6 The standard FTICR trap cell developed by McIver is a one 7 region cell consisting of six flat plates arranged in a rectangular geometry. A positive... q is the charge on the KE = q r B /2m (7) 2 2 2 ion, r is the radius of the trap cell in meters, B is the magnetic field strength in tesla and m is the mass of the ion in kilograms. therefore an ion of m/z 100 in a 1. 9 tesla magnetic field...
Distributed Kalman filtering compared to Fourier domain preconditioned conjugate gradient
Greer, Julia R.
Distributed Kalman filtering compared to Fourier domain preconditioned conjugate gradient for laser of the tomography problem. The second algorithm is the distributed Kalman filter (DKF) developed by Massioni et al
Fourier spectra from exoplanets with polar caps and ocean glint
Visser, P M
2015-01-01T23:59:59.000Z
The weak orbital-phase dependent reflection signal of an exoplanet contains information on the planet surface, such as the distribution of continents and oceans on terrestrial planets. This light curve is usually studied in the time domain, but because the signal from a stationary surface is (quasi)periodic, analysis of the Fourier series may provide an alternative, complementary approach. We study Fourier spectra from reflected light curves for geometrically simple configurations. Depending on its atmospheric properties, a rotating planet in the habitable zone could have circular polar ice caps. Tidally locked planets, on the other hand, may have symmetric circular oceans facing the star. These cases are interesting because the high-albedo contrast at the sharp edges of the ice-sheets and the glint from the host star in the ocean may produce recognizable light curves with orbital periodicity, which could also be interpreted in the Fourier domain. We derive a simple general expression for the Fourier coeffici...
Alternative Fourier-series approach to nonlinear oscillations
Francisco M. Fernández
2009-10-12T23:59:59.000Z
We propose an alternative approach that avoids the nonlinear equations for the Fourier coefficients that appear in the method of harmonic balance. We apply it to two simple illustrative examples.
transformation languages Introduction
Nierstrasz, Oscar
transformation languages Introduction Transformation languages are widely used for to process can I change / transform the design of a certain task without changing it's logic The common/and hierarchical or/and abstract set of information. It can even be a stream of data. Â· The transformation engine
Glowing Bacteria: Transformation Efficiency
Rose, Michael R.
1 Glowing Bacteria: Transformation Efficiency Purpose: To determine how well your E. coli cells took up and expressed GFP after transformation. Background: Transformation efficiency is a quantitative)______ (Fraction of DNA spread on plate) = ______ µg plasmid DNA spread on plate #12;2 5. Transformation efficiency
Learning Transformations From Video
Wang, Ching Ming
2010-01-01T23:59:59.000Z
on Natural Video . . . . . . . . . . . . . . . . .3 Learning Continuous Transformation from VideoProposed Video Coder
Thompson, Christopher J.; Loring, John S.; Rosso, Kevin M.; Wang, Zheming
2013-10-01T23:59:59.000Z
The carbonation reactions of forsterite (Mg2SiO4) and antigorite [Mg3Si2O5(OH)4], representatives of olivine and serpentine minerals, in dry and wet supercritical carbon dioxide (scCO2) at conditions relevant to geologic carbon sequestration (35 °C and 100 bar) were studied by in-situ Fourier transform infrared (FT-IR) spectroscopy. Our results confirm that water plays a critical role in the reactions between metal silicate minerals and scCO2. For neat scCO2, no reaction was observed in 24 hr for either mineral. When water was added to the scCO2, a thin water film formed on the minerals’ surfaces, and the reaction rates and extents increased as the water saturation level was raised from 54% to 116% (excess water). For the first time, the presence of bicarbonate, a key reaction intermediate for metal silicate reactions with scCO2, was observed in a heterogeneous system where mineral solids, an adsorbed water film, and bulk scCO2 co-exist. In excess-water experiments, approximately 4% of forsterite and less than 2% of antigorite transformed into hydrated Mg-carbonates. A precipitate similar to nesquehonite (MgCO3•3H2O) was observed for forsterite within 6 hr of reaction time, but no such precipitate was formed from antigorite until after water was removed from the scCO2 following a 24-hr reaction period. The reduced reactivity and carbonate-precipitation behavior of antigorite was attributed to slower, incongruent dissolution of the mineral and lower concentrations of Mg2+ and HCO3- in the water film. The in situ measurements employed in this work make it possible to quantify metal carbonate precipitates and key reaction intermediates such as bicarbonate for the investigation of carbonation reaction mechanisms relevant to geologic carbon sequestration.
Fourier Analysis of Sawtooth Heat Pulse Propagation and Comparison with Other Methods Using JET Data
Fourier Analysis of Sawtooth Heat Pulse Propagation and Comparison with Other Methods Using JET Data
On extremizers for adjoint Fourier restriction inequalities and a result in incidence geometry
Quilodran, Rene
2012-01-01T23:59:59.000Z
inequalities . . . . . . . . . . . . . . . . . . . . . 1.6 Arestriction inequality . . . . . . . . . . . . . . . . . 2.4Fourier restriction inequality . . . . . . . . . . 1.3 The
Perfect NOT transformation and conjugate transformation
Fengli Yan; Ting Gao; Zhichao Yan
2012-03-15T23:59:59.000Z
The perfect NOT transformation, probabilistic perfect NOT transformation and conjugate transformation are studied. Perfect NOT transformation criteria on a quantum state set $S$ of a qubit are obtained. Two necessary and sufficient conditions for realizing a perfect NOT transformation on $S$ are derived. When these conditions are not satisfied we discuss a probabilistic perfect NOT transformation (gate). We construct a probabilistic perfect NOT machine (gate) by a general unitary-reduction operation. With a postselection of the measurement outcomes, the probabilistic NOT gate yields perfectly complements of the input states. We prove that one can realize probabilistically the NOT gate of the input states secretly chosen from a certain set $S=\\{|\\Psi_1>, |\\Psi_2>,..., |\\Psi_n>\\}$ if and only if $|\\Psi_1>, |\\Psi_2>,...,$ and $|\\Psi_n>$ are linearly independent. We also generalize the probabilistic NOT transformation to the conjugate transformation in the multi-level quantum system. The lower bound of the best possible efficiencies attained by a probabilistic perfect conjugate transformation are obtained.
Variable waveband infrared imager
Hunter, Scott R.
2013-06-11T23:59:59.000Z
A waveband imager includes an imaging pixel that utilizes photon tunneling with a thermally actuated bimorph structure to convert infrared radiation to visible radiation. Infrared radiation passes through a transparent substrate and is absorbed by a bimorph structure formed with a pixel plate. The absorption generates heat which deflects the bimorph structure and pixel plate towards the substrate and into an evanescent electric field generated by light propagating through the substrate. Penetration of the bimorph structure and pixel plate into the evanescent electric field allows a portion of the visible wavelengths propagating through the substrate to tunnel through the substrate, bimorph structure, and/or pixel plate as visible radiation that is proportional to the intensity of the incident infrared radiation. This converted visible radiation may be superimposed over visible wavelengths passed through the imaging pixel.
Applications of a fast, continuous wavelet transform
Dress, W.B.
1997-02-01T23:59:59.000Z
A fast, continuous, wavelet transform, based on Shannon`s sampling theorem in frequency space, has been developed for use with continuous mother wavelets and sampled data sets. The method differs from the usual discrete-wavelet approach and the continuous-wavelet transform in that, here, the wavelet is sampled in the frequency domain. Since Shannon`s sampling theorem lets us view the Fourier transform of the data set as a continuous function in frequency space, the continuous nature of the functions is kept up to the point of sampling the scale-translation lattice, so the scale-translation grid used to represent the wavelet transform is independent of the time- domain sampling of the signal under analysis. Computational cost and nonorthogonality aside, the inherent flexibility and shift invariance of the frequency-space wavelets has advantages. The method has been applied to forensic audio reconstruction speaker recognition/identification, and the detection of micromotions of heavy vehicles associated with ballistocardiac impulses originating from occupants` heart beats. Audio reconstruction is aided by selection of desired regions in the 2-D representation of the magnitude of the transformed signal. The inverse transform is applied to ridges and selected regions to reconstruct areas of interest, unencumbered by noise interference lying outside these regions. To separate micromotions imparted to a mass-spring system (e.g., a vehicle) by an occupants beating heart from gross mechanical motions due to wind and traffic vibrations, a continuous frequency-space wavelet, modeled on the frequency content of a canonical ballistocardiogram, was used to analyze time series taken from geophone measurements of vehicle micromotions. By using a family of mother wavelets, such as a set of Gaussian derivatives of various orders, features such as the glottal closing rate and word and phrase segmentation may be extracted from voice data.
Application of Wavelet Packet Transform in Pattern Recognition of Near-IR Data
Guerrini, Carla
. Construction of the pattern space: selection of representative training data. Data pretreatment: reduction is not methodical; it is a matter of common sense to select meaningful objects and variables. Data pretreat- ment, they are related to Fourier transformation, which has also been suggested for pretreating near-IR data.11 DWT
Infrared Thermometer (IRT) Handbook
VR Morris
2006-10-30T23:59:59.000Z
The Infrared Thermometer (IRT) is a ground-based radiation pyrometer that provides measurements of the equivalent blackbody brightness temperature of the scene in its field of view. The downwelling version has a narrow field of view for measuring sky temperature and for detecting clouds. The upwelling version has a wide field of view for measuring the narrowband radiating temperature of the ground surface.
A Parametric Study of the Effect of Temperature and Hydrocarbon...
Broader source: Energy.gov (indexed) [DOE]
DRL REACTOR AND GAS ANALYSIS LAYOUT * Dominant measurement tool is Fourier Transform Infrared Spectrometer (FTIR) * Chemical Ionization Mass Spectrometer (CIMS) complements...
ammonium hydroxides: Topics by E-print Network
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
by Fourier Transform Infra-Red Spectroscopy, Thermo-Gravimetric Analysis, Nitrogen Adsorption, Water Adsorption, Scanning Electron Microscopy and Microprobe Analysis. From...
antecedent growth conditions: Topics by E-print Network
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
aerobic and anaerobic conditions. Fourier transform infrared (FT-IR) spectroscopy with cluster analysis showed that there were significant changes in the metabolic fingerprints of...
Functionalization of metal-organic frameworks with metalloligands and postsynthetic modification
Garibay, Sergio J.
2011-01-01T23:59:59.000Z
spectrometry ix Et 2 O Diethyl ether EtOH Ethanol ee Enantiomeric excess FT-IR Fourier transform infrared spectroscopy Gamma
Spectroscopic Evidence of Keto-enol Tautomerism in Deliquesced...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Fine Structure Spectroscopy (STXMNEXAFS), and optical microscopy coupled with Fourier Transform Infrared Spectroscopy (micro-FTIR) have been applied to observe hygroscopic...
Effect of K loadings on nitrate formation/decomposition and on...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
NO2 adsorption at room temperature, ionic and bidentate nitrates were observed by fourier transform infra-red (FTIR) spectroscopy. The ratio of the former to the latter...
Methanol Partial Oxidation on MoO3/SiO2 Catalysts: Application...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
is presented in this article. For the first time, this OHT reactor integrates Fourier Transformation infrared (FT-IR) imaging technique and Raman spectroscopy in operando...
A New Mechanism for Ozonolysis of Unsaturated Organics on Solids...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
(OPPC) on NaCl was followed in real time using diffuse reflectance infrared Fourier transform spectrometry (DRIFTS) at 23 °C. Matrix-assisted laser desorption...
On the protonation of oxo- and hydroxo- groups of the goethite...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
at different levels of acidity was investigated by Attenuated Total Reflectance (ATR) Fourier Transform InfraRed (FTIR) spectroscopy. A 2D IR correlation analysis of the spectra...
Effects of surface coordination on the temperature-programmed...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
at the goethite surface was investigated in the 300-900 K range with concerted Fourier Transform Infrared (FTIR) measurements (TPD-FTIR). These reactions took place with...
A Combined FTIR and TPD Study on the Bulk and Surface Dehydroxylation...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Abstract: The thermal dehydroxylation of dried goethite was studied with combined Fourier Transform Infrared (FTIR)-Temperature Programmed Desorption (TPD) experiments in the...
Role of Extracellular Polymeric Substances in Bioflocculation...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
detail using colorimetric analysis, X&8208;ray photoelectron spectroscopy (XPS) and Fourier transform infrared (FTIR) spectroscopy. EPS produced by the mixed population were...
Hygroscopic Behavior of Substrate-Deposited Particles Studied...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
and Complementary Methods of Particle Abstract: The application of Microscopic Fourier Transform Infrared (micro-FTIR) spectroscopy combined with complementary methods of...
Separation Nanotechnology of Diethylenetriaminepentaacetic Acid...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
using transmission electron microscopy (TEM), helium ion microscopy (HIM), Fourier transform-infrared (FT-IR) spectrometry, and X-ray diffractometry. The coated and...
Spectroscopic Characterization of Extracellular Polymeric Substances...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
by Escherichia coli and Serratia marcescens were characterized in detail using Fourier transform infrared spectroscopy (FTIR), X-ray photoelectron spectroscopy (XPS), and...
Fourier computational ghost imaging using spectral sparsity and conjugation priors
Bian, Liheng; Hu, Xuemei; Chen, Feng; Dai, Qionghai
2015-01-01T23:59:59.000Z
Computational ghost imaging (CGI) retrieves a target scene from numerous random illumination patterns and corresponding single pixel measurements. Theoretically, these random patterns sample random combinations of the Fourier coefficients of the scene's spatial spectrum in an indiscriminative way, and neglect their intrinsic nonuniform importance. Utilizing the sparsity and conjugation priors of natural images' spatial spectra, this letter proposes a new pattern illuminating strategy termed Fourier computational ghost imaging (FCGI), for highly efficient single pixel imaging. Specifically, FCGI sequentially uses two sinusoidal patterns to sample each Fourier coefficient, instead of their random combinations, in the statistically most informative spectrum band. Benefiting from the new illumination patterns and importance sampling strategy, our approach is able to reduce the requisite number of projected patterns by two orders of magnitude, compared to conventional CGI.
Fourier Analysis of the Parametric Resonance in Neutrino Oscillations
Masafumi Koike; Toshihiko Ota; Masako Saito; Joe Sato
2009-02-10T23:59:59.000Z
Parametric enhancement of the appearance probability of the neutrino oscillation under the inhomogeneous matter is studied. Fourier expansion of the matter density profile leads to a simple resonance condition and manifests that each Fourier mode modifies the energy spectrum of oscillation probability at around the corresponding energy; below the MSW resonance energy, a large-scale variation modifies the spectrum in high energies while a small-scale one does in low energies. In contrast to the simple parametric resonance, the enhancement of the oscillation probability is itself an slow oscillation as demonstrated by a numerical analysis with a single Fourier mode of the matter density. We derive an analytic solution to the evolution equation on the resonance energy, including the expression of frequency of the slow oscillation.
Metrics for enterprise transformation
Blackburn, Craig D. (Craig David), S. M. Massachusetts Institute of Technology
2009-01-01T23:59:59.000Z
The objective of this thesis is to depict the role of metrics in the evolving journey of enterprise transformation. To this end, three propositions are explored: (i) metrics and measurement systems drive transformation, ...
Distributions of Fourier modes of cosmological density fields
Fan, Z.; Bardeen, J.M. [Department of Physics, FM-15, University of Washington, Seattle, Washington 98195 (United States)] [Department of Physics, FM-15, University of Washington, Seattle, Washington 98195 (United States)
1995-06-15T23:59:59.000Z
We discuss the probability distributions of Fourier modes of cosmological density fields using the central limit theorem is it applies to weighted integrals of random fields. It is shown that if the cosmological principle holds in a certain sense, i.e., the Universe approaches homogeneity and isotropy sufficiently rapidly on very large scales, the one-point distribution of each Fourier mode of the density field is Gaussian whether or not the density field itself is Gaussian. Therefore, one-point distributions of the power spectrum obtained from observational data or from simulations are not a good test of whether the density field is Gaussian.
Grun, R. L. Jr.
therefore are a function of the load squared. No-load losses occur from energizing the transformer steel and fore are continuous regardless of the transformer load. TRANSFORMER DESIGN Both types of losses are a fun ce here ion of design. If losses...
Spacetime transformation acoustics
C. García-Meca; S. Carloni; C. Barceló; G. Jannes; J. Sánchez-Dehesa; A. Martínez
2014-07-08T23:59:59.000Z
A recently proposed analogue transformation method has allowed the extension of transformation acoustics to general spacetime transformations. We analyze here in detail the differences between this new analogue transformation acoustics (ATA) method and the standard one (STA). We show explicitly that STA is not suitable for transformations that mix space and time. ATA takes as starting point the acoustic equation for the velocity potential, instead of that for the pressure as in STA. This velocity-potential equation by itself already allows for some transformations mixing space and time, but not all of them. We explicitly obtain the entire set of transformations that do not leave its form invariant. It is in these cases that ATA shows its true potential, allowing for building a transformation acoustics method that enables the full range of spacetime transformations. We provide an example of an important transformation which cannot be achieved with STA. Using this transformation, we design and simulate an acoustic frequency converter via the ATA approach. Furthermore, in those cases in which one can apply both the STA and ATA approaches, we study the different transformational properties of the corresponding physical quantities.
de Queiroz, Ricardo L.
Chapter 6 LAPPED TRANSFORMS FOR IMAGE COMPRESSION Ricardo L. de Queiroz Digital Imaging Technology aspects of lapped transforms and their applications to image compression. It is a subject that has been extensively studied mainly because lapped transforms are closely related to filter banks, wavelets, and time
Kohler, S.D.; Ekerdt, J.G. (Univ. of Texas, Austin, TX (United States))
1994-01-27T23:59:59.000Z
The tungsten carbonyl species that form during ultraviolet photoreduction of W[sup 6+]SiO[sub 2] in CO were analyzed by Fourier transform infrared spectroscopy (FTIR). Two carbonyl species were identified, mer-W(CO)[sub 3] and cis-W(CO)[sub 2], by the number and intensities of the respective IR peaks and through isotopic substitution. The C[sub 2v] symmetry of mer-W(CO)[sub 3] was associated with three IR bands: a very weak (A[sub 1])[sub 1] symmetric trans mode at 2145 cm[sup [minus]1], a strong B[sub 2] symmetric mode at 2112 cm[sup [minus]1], and a strong (A[sub 1])[sub 2] antisymmetric mode at 2179 cm[sup [minus]1] mer-W(CO)[sub 3] was stable at 298 K in 25 Torr of CO. Isothermal evacuation of the mer-W(CO)[sub 3] species resulted in the loss of a single CO ligand, forming cis-W(CO)[sub 2]. The W(CO)[sub 2] species formed during both isothermal evacuation of the mer-W(CO)[sub 3] species and during the initial photoreduction process. cis-W(CO)[sub 2] was identified by its IR spectrum consisting of a strong symmetric mode at 2112 cm[sup [minus]1] and a strong antisymmetric mode at 2040 cm[sup [minus]1]. 22 refs., 9 figs., 2 tabs.
Weck, P.; Gobin, C; Kim, E; Pravica, M
2009-01-01T23:59:59.000Z
We present the first vibrational structure investigation of 3,3,7,7-tetrakis(difluoramino)octahydro-1,5-dinitro- 1,5-diazocine (HNFX) - and, more generally, of a member of the new class of gem-bis(difluoramino)-substituted heterocyclic nitramine energetic materials - using combined theoretical and experimental approaches. Optimized molecular structure and vibrational spectra of the Ci... symmetry conformer constituting the HNFX crystal were computed using density functional theory methods. Fourier transform infrared and Raman spectra of HNFX crystalline samples were also collected at ambient temperature and pressure. The average deviation of calculated structural parameters from X-ray diffraction data is {approx}1% at the B3LYP/6-311 + + G(d,p) level of theory, suggesting the absence of significant molecular distortion induced by the crystal field. Very good agreement was found between simulated and measured spectra, allowing reliable assignment of the fundamental normal modes of vibration of the HNFX crystal. Detailed analysis of the normal modes of the C-(NF{sub 2}){sub 2} and N-NO{sub 2} moieties was performed due to their critical importance in the initial steps of the molecular homolytic fragmentation process.
ContentsContents2323Fourier 1. Periodic functions
Vickers, James
, using Fourier series the analysis of many engineering systems (such as electric circuits or mechanical vibrating systems) can be extended from the case where the input to the system is a sinusoidal function usually infinite series but involve sine and cosine functions (or their complex exponential equivalents
ON THE ACOUSTIC SINGLE LAYER POTENTIAL: STABILIZATION AND FOURIER ANALYSIS
Buffa, Annalisa
ON THE ACOUSTIC SINGLE LAYER POTENTIAL: STABILIZATION AND FOURIER ANALYSIS A. BUFFA AND S. SAUTER in the stability and convergence estimates attains its minumum. Key words. Acoustic scattering, Galerkin boundary discretizations for the Helmholtz problem suffer from the pollution effect, i.e., the constants in the Galerkin
Abstract adiabatic charge pumping Institut Fourier, Universite de Grenoble 1
Joye, Alain
Abstract adiabatic charge pumping A. Joye, Institut Fourier, UniversitÂ´e de Grenoble 1 BP 74, 38402 This paper is devoted to the analysis of an abstract formula describing quantum adiabatic charge pumping with respect to , once integrated over some time interval, gives rise to a charge pumped through the system
Tfaily, Malak [Florida State University, Tallahassee; Cooper, Bill [Florida State University, Tallahassee; Kostka, [Georgia Institute of Technology, Atlanta; Chanton, Patrick R [ORNL; Schadt, Christopher Warren [ORNL; Hanson, Paul J [ORNL; Iversen, Colleen M [ORNL; Chanton, Jeff P [ORNL
2014-01-01T23:59:59.000Z
A large-scale ecosystem manipulation (Spruce and Peatland Responses under Climatic and Environmental Change, SPRUCE) is being constructed in the Marcell Experimental Forest, Minnesota, USA, to determine the effects of climatic forcing on ecosystem processes in northern peatlands. Prior to the initiation of the manipulation, we characterized the solid-phase peat to a depth of 2 meters using a variety of techniques, including peat C:N ratios, 13C and 15N isotopic composition, Fourier Transform Infrared (FT IR), and 13C Nuclear Magnetic Resonance spectroscopy (13C NMR). FT IR determined peat humification-levels increased rapidly between and 75 cm, indicating a highly reactive zone. We observed a rapid drop in the abundance of O-alkyl-C, carboxyl-C, and other oxygenated functionalities within this zone and a concomitant increase in the abundance of alkyl- and nitrogen-containing compounds. Below 75-cm, minimal change was observed except that aromatic functionalities accumulated with depth. Incubation studies revealed the highest methane production rates and greatest CH4:CO2 ratios within this and 75 cm zone. Hydrology and surface vegetation played a role in belowground carbon cycling. Radiocarbon signatures of microbial respiration products in deeper porewaters resembled the signatures of dissolved organic carbon rather than solid phase peat, indicating that more recently photosynthesized organic matter fueled the bulk of subsurface microbial respiration. Oxygen-containing functionalities, especially O-alkyl-C, appear to serve as an excellent proxy for soil decomposition rate, and in addition should be a sensitive indicator of the response of the solid phase peat to the climatic manipulation.
Infrared Maximally Abelian Gauge
Tereza Mendes; Attilio Cucchieri; Antonio Mihara
2006-11-01T23:59:59.000Z
The confinement scenario in Maximally Abelian gauge (MAG) is based on the concepts of Abelian dominance and of dual superconductivity. Recently, several groups pointed out the possible existence in MAG of ghost and gluon condensates with mass dimension 2, which in turn should influence the infrared behavior of ghost and gluon propagators. We present preliminary results for the first lattice numerical study of the ghost propagator and of ghost condensation for pure SU(2) theory in the MAG.
Error analysis of the chirp-z transform when implemented using waveform synthesizers and FFTs
Bielek, T.P.
1990-11-01T23:59:59.000Z
This report analyzes the effects of finite-precision arithmetic on discrete Fourier transforms (DFTs) calculated using the chirp-z transform algorithm. An introduction to the chirp-z transform is given together with a description of how the chirp-z transform is implemented in hardware. Equations for the effects of chirp rate errors, starting frequency errors, and starting phase errors on the frequency spectrum of the chirp-z transform are derived. Finally, the maximum possible errors in the chirp rate, the starting frequencies, and starting phases are calculated and used to compute the worst case effects on the amplitude and phase spectrums of the chirp-z transform. 1 ref., 6 figs.
Using Fourier Series to Model Hourly Energy Use in Commercial Buildings
Dhar, A.; Reddy, T. A.; Claridge, D. E.
1993-01-01T23:59:59.000Z
Fourier series analysis is eminently suitable for modeling strongly periodic data. Weather independent energy use such as lighting and equipment load in commercial buildings is strongly periodic and is thus appropriate for Fourier series treatment...
The Fourier method for tri-atomic systems in the search for the optimal coordinate system
Zeiri, Yehuda
The Fourier method for tri-atomic systems in the search for the optimal coordinate system Gil Katz, the Hebrew University, Jerusalem 91904 Received 20 September 2001; accepted 12 December 2001 The Fourier grid
Karsai, K.; Kerenyi, D.; Kiss, L.
1987-01-01T23:59:59.000Z
The book deals with the following aspects of transformer engineering: general principles governing the function of transformers, iron cores, windings, stray losses caused by stray flux, the insulation of transformers, and the structural parts and accessories. This edition includes the developments in theory and practice on the basis of the authors' experience in design, manufacturing and testing of large transformers. New developments have been particularly extensive in the fields of new magnetic materials, cooling methods, dielectric strength for overvoltages of different types, and stray-load loss problems, which are presented in the book in detail. The many diagrams in the book can be used directly in the design, manufacture and testing of large transformers. In preparing their text, the authors have aimed to satisfy the demand for a work that summarizes the latest experience in development and design of large power transformers.
5 Novembre 2001 Esercizio 14 Calcolare la traformata di Fourier di
SavarÃ©, Giuseppe
5 Novembre 2001 Esercizio 14 Calcolare la traformata di Fourier di 1 t2 + 2t + 2 , t t2 + 2t + 2 Fourier di u(t) := t11(-,)(t). Applicare il calcolo per sviluppare in serie di Fourier la funzione T la trasformata di Fourier, le funzioni u L1 (R) che soddi- sfano l'equazione u(t) = t+1 t-1 u() d
Fourier method in the determination of rotational velocities in OB stars
S. Simón-Díaz; A. Herrero
2007-03-09T23:59:59.000Z
We present a comprehensive study that applies the Fourier transform to a sample of O and early B-type stars (either dwarfs, giants, or supergiants) to determine their projected rotational velocities, compare with previous values obtained with other methods, and seek for evidence of extra broadening in the spectral lines The Fourier technique, extensively used in the study of cooler stars, has remained only marginally applied for the case of early-type stars. The comparison of \\vsini values obtained through the \\ft and \\fwhm methods shows that the \\fwhm technique must be used with care in the analysis of OB giants and supergiants, and when it is applied to \\ion{He}{i} lines. Contrarily, the \\ft method appears to be a powerful tool to derive reliable projected rotational velocities, and separate the effect of rotation from other broadening mechanisms present in these stars. The analysis of the sample of OB stars shows that while dwarfs and giants display a broad range of projected rotational velocities, from less than 30 up to 450 \\kms, supergiants have in general values close to or below 100 \\kms. The analysis has also definitely shown that while the effect of extra broadening is negligible in OB dwarfs, it is clearly present in supergiants. When examining the behavior of the projected rotational velocities with the stellar parameters and across the HR diagram, we conclude, in agreement with previous researchers, that the rotational velocity should decrease when the stars evolve. On the contrary, macroturbulence may be constant, resulting therefore in an increasing importance as compared to rotation when the stars evolve.
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
3-03-Grid-Transformation-Workshop Sign In About | Careers | Contact | Investors | bpa.gov Search News & Us Expand News & Us Projects & Initiatives Expand Projects &...
An Infrared Spectral Library for Atmospheric Environmental Monitoring...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
An Infrared Spectral Library for Atmospheric Environmental Monitoring. An Infrared Spectral Library for Atmospheric Environmental Monitoring. Abstract: Infrared (IR) spectroscopy...
Frequency selective infrared sensors
Davids, Paul; Peters, David W
2014-11-25T23:59:59.000Z
A frequency selective infrared (IR) photodetector having a predetermined frequency band. The exemplary frequency selective photodetector includes: a dielectric IR absorber having a first surface and a second surface substantially parallel to the first surface; an electrode electrically coupled to the first surface of the dielectric IR absorber; and a frequency selective surface plasmonic (FSSP) structure formed on the second surface of the dielectric IR absorber. The FSSP structure is designed to selectively transmit radiation in the predetermined frequency band that is incident on the FSSP structure substantially independent of the angle of incidence of the incident radiation on the FSSP structure.
Frequency selective infrared sensors
Davids, Paul; Peters, David W
2013-05-28T23:59:59.000Z
A frequency selective infrared (IR) photodetector having a predetermined frequency band. The exemplary frequency selective photodetector includes: a dielectric IR absorber having a first surface and a second surface substantially parallel to the first surface; an electrode electrically coupled to the first surface of the dielectric IR absorber; and a frequency selective surface plasmonic (FSSP) structure formed on the second surface of the dielectric IR absorber. The FSSP structure is designed to selectively transmit radiation in the predetermined frequency band that is incident on the FSSP structure substantially independent of the angle of incidence of the incident radiation on the FSSP structure.
Fourier information optics for the ultrafast time domain Andrew M. Weiner
Purdue University
of ultrafast pulses. These examples exploit timeÂ frequency Fourier techniques to perform matched filtering processing of ultrafast pulsed signals, in close analogy with the spatial Fourier techniques used by LeithFourier information optics for the ultrafast time domain Andrew M. Weiner School of Electrical
Lifshitz, Ron
INTRODUCTION TO FOURIER-SPACE CRYSTALLOGRAPHY Lecture notes for the International School- sential attribute of crystallinity from position space to Fourier space.1 Within the family of crystals is to describe the corresponding shift to Fourier space in the crystallographic classification scheme, proposed
FOURIER COEFFICIENTS OF MODULAR FORMS ON G2 WEE TECK GAN, BENEDICT GROSS AND GORDAN SAVIN
Gan, Wee Teck
FOURIER COEFFICIENTS OF MODULAR FORMS ON G2 WEE TECK GAN, BENEDICT GROSS AND GORDAN SAVIN Abstract. We develop a theory of Fourier coefficients for modular forms on the split ex- ceptional group G2 on the group SL2(Z) is the wealth of information carried by the Fourier coefficients an(f), for n 0
Katsumoto, Shingo
Fourier analyses of commensurability oscillations in Fibonacci lateral superlattices Akira Endo by performing a numerical Fourier band-pass filter. From the analysis of the amplitude of a single-component CO thus extracted, the magnitude of the corresponding Fourier component in the potential modulation can
A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers
Fournier, Alexandre
A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers Abstract We present a Fourier-spectral element approach for modeling thermal convection in a rotating, Spectral Methods for Axisymmetric Domains, Gauthier-Villars, Paris, 1999], a Fourier expansion of the field
Math 421, Fourier Analysis Suppose we sample a periodically varying quantity such as an intensity or
Offin, Dan
Math 421, Fourier Analysis Suppose we sample a periodically varying quantity such as an intensity tone 200 400 600 800 100012001400 5 10 15 20 25 The Fourier analysis of the tone Which button was pressed? A general method was found by Jean Baptiste Joseph Fourier (1768 - 1830) in 1807. His method
Maruyama, Shigeo
Non-Fourier heat conduction in a single-walled carbon nanotube: Classical molecular dynamics of the simulations exhibit non-Fourier heat conduction where the distinct amount of heat is transported in a wavelike called non-Fourier heat conduction equations in order to investigate the applicability
Fourier Law in the Alternate-Mass Hard-Core Potential Chain Baowen Li,1
Li, Baowen
Fourier Law in the Alternate-Mass Hard-Core Potential Chain Baowen Li,1 Giulio Casati,2,3,1 Jiao size. We provide convincing numerical evidence for the validity of Fourier law of heat conduction in order to obey the Fourier law of heat conduction are still not known. For noninteracting particles
Fourier Series Just before 1800, the French mathematician/physicist/engineer Jean Baptiste Joseph
Olver, Peter
Chapter 12 Fourier Series Just before 1800, the French mathematician/physicist/engineer Jean Baptiste Joseph Fourier made an astonishing discovery. As a result of his investigations into the partial dif- ferential equations modeling vibration and heat propagation in bodies, Fourier was led to claim
Fourier Series Expansion in a Non-Orthogonal System of Coordinates for the Simulation of
Torres-Verdín, Carlos
Fourier Series Expansion in a Non-Orthogonal System of Coordinates for the Simulation of 3D DC of a Fourier series expansion in a non-orthogonal system of coordinates with an existing 2D goal 3D simulators, since the number of Fourier modes (basis functions) needed to solve practical
Hammes-Schiffer, Sharon
Fourier grid Hamiltonian multiconfigurational self-consistent-field: A method to calculate Received 10 May 2000; accepted 28 June 2000 The Fourier Grid Hamiltonian Multiconfigurational Self that are products of one-dimensional wavefunctions, with a Fourier grid method that represents the one
Rosen, Joseph
Fourier, Fresnel and Image CGHs of three-dimensional objects observed from many different of synthesizing three types of computer-generated hologram (CGH); Fourier, Fresnel and image CGHs. These holograms in the computer as a Fourier hologram. Then, it can be converted to either Fresnel or image holograms by computing
Fourier-based magnetic induction tomography for mapping resistivity
Puwal, Steffan; Roth, Bradley J. [Department of Physics, Oakland University, Rochester, Michigan 48309 (United States)
2011-01-01T23:59:59.000Z
Magnetic induction tomography is used as an experimental tool for mapping the passive electromagnetic properties of conductors, with the potential for imaging biological tissues. Our numerical approach to solving the inverse problem is to obtain a Fourier expansion of the resistivity and the stream functions of the magnetic fields and eddy current density. Thus, we are able to solve the inverse problem of determining the resistivity from the applied and measured magnetic fields for a two-dimensional conducting plane. When we add noise to the measured magnetic field, we find the fidelity of the measured to the true resistivity is quite robust for increasing levels of noise and increasing distances of the applied and measured field coils from the conducting plane, when properly filtered. We conclude that Fourier methods provide a reliable alternative for solving the inverse problem.
Worm-like Polymer Loops and Fourier Knots
S. Rappaport; Y. Rabin; A. Yu. Grosberg
2006-03-02T23:59:59.000Z
Every smooth closed curve can be represented by a suitable Fourier sum. We show that the ensemble of curves generated by randomly chosen Fourier coefficients with amplitudes inversely proportional to spatial frequency (with a smooth exponential cutoff), can be accurately mapped on the physical ensemble of worm-like polymer loops. We find that measures of correlation on the scale of the entire loop yield a larger persistence length than that calculated from the tangent-tangent correlation function at small length scales. The conjecture that physical loops exhibit additional rigidity on scales comparable to the entire loop due to the contribution of twist rigidity, can be tested experimentally by determining the persistence length from the local curvature and comparing it with that obtained by measuring the radius of gyration of dsDNA plasmids. The topological properties of the ensemble randomly generated worm-like loops are shown to be similar to that of other polymer models.
Fourier law, phase transitions and the stationary Stefan problem
Anna De Masi; Errico Presutti; Dimitrios Tsagkarogiannis
2010-09-23T23:59:59.000Z
We study the one-dimensional stationary solutions of an integro-differential equation derived by Giacomin and Lebowitz from Kawasaki dynamics in Ising systems with Kac potentials, \\cite{GiacominLebowitz}. We construct stationary solutions with non zero current and prove the validity of the Fourier law in the thermodynamic limit showing that below the critical temperature the limit equilibrium profile has a discontinuity (which defines the position of the interface) and satisfies a stationary free boundary Stefan problem. Under-cooling and over-heating effects are also studied. We show that if metastable values are imposed at the boundaries then the mesoscopic stationary profile is no longer monotone and therefore the Fourier law is not satisfied. It regains however its validity in the thermodynamic limit where the limit profile is again monotone away from the interface.
Strong Fourier Sampling Fails over $G^n$
Gorjan Alagic; Cristopher Moore; Alexander Russell
2005-11-07T23:59:59.000Z
We present a negative result regarding the hidden subgroup problem on the powers $G^n$ of a fixed group $G$. Under a condition on the base group $G$, we prove that strong Fourier sampling cannot distinguish some subgroups of $G^n$. Since strong sampling is in fact the optimal measurement on a coset state, this shows that we have no hope of efficiently solving the hidden subgroup problem over these groups with separable measurements on coset states (that is, using any polynomial number of single-register coset state experiments). Base groups satisfying our condition include all nonabelian simple groups. We apply our results to show that there exist uniform families of nilpotent groups whose normal series factors have constant size and yet are immune to strong Fourier sampling.
Fourier analysis of conductive heat transfer for glazed roofing materials
Roslan, Nurhana Lyana; Bahaman, Nurfaradila; Almanan, Raja Noorliyana Raja; Ismail, Razidah [Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, 40450 Shah Alam, Selangor (Malaysia); Zakaria, Nor Zaini [Faculty of Applied Sciences, Universiti Teknologi MARA, 40450 Shah Alam, Selangor (Malaysia)
2014-07-10T23:59:59.000Z
For low-rise buildings, roof is the most exposed surface to solar radiation. The main mode of heat transfer from outdoor via the roof is conduction. The rate of heat transfer and the thermal impact is dependent on the thermophysical properties of roofing materials. Thus, it is important to analyze the heat distribution for the various types of roofing materials. The objectives of this paper are to obtain the Fourier series for the conductive heat transfer for two types of glazed roofing materials, namely polycarbonate and polyfilled, and also to determine the relationship between the ambient temperature and the conductive heat transfer for these materials. Ambient and surface temperature data were collected from an empirical field investigation in the campus of Universiti Teknologi MARA Shah Alam. The roofing materials were installed on free-standing structures in natural ventilation. Since the temperature data are generally periodic, Fourier series and numerical harmonic analysis are applied. Based on the 24-point harmonic analysis, the eleventh order harmonics is found to generate an adequate Fourier series expansion for both glazed roofing materials. In addition, there exists a linear relationship between the ambient temperature and the conductive heat transfer for both glazed roofing materials. Based on the gradient of the graphs, lower heat transfer is indicated through polyfilled. Thus polyfilled would have a lower thermal impact compared to polycarbonate.
Biochemical transformation of coals
Lin, M.S.; Premuzic, E.T.
1999-03-23T23:59:59.000Z
A method of biochemically transforming macromolecular compounds found in solid carbonaceous materials, such as coal is provided. The preparation of new microorganisms, metabolically weaned through challenge growth processes to biochemically transform solid carbonaceous materials at extreme temperatures, pressures, pH, salt and toxic metal concentrations is also disclosed. 7 figs.
Exploring Functional Mellin Transforms
J. LaChapelle
2015-01-08T23:59:59.000Z
We define functional Mellin transforms within a scheme for functional integration proposed in [1]. Functional Mellin transforms can be used to define functional traces, logarithms, and determinants. The associated functional integrals are useful tools for probing function spaces in general and $C^\\ast$-algebras in particular. Several interesting aspects are explored.
Deployment & Market Transformation (Brochure)
Not Available
2012-04-01T23:59:59.000Z
NREL's deployment and market transformation (D and MT) activities encompass the laboratory's full range of technologies, which span the energy efficiency and renewable energy spectrum. NREL staff educates partners on how they can advance sustainable energy applications and also provides clients with best practices for reducing barriers to innovation and market transformation.
Logarithmic transformation of response Logarithmic transformation of response
Komarek, Arnost
Logarithmic transformation of response Logarithmic transformation of response Often, support S of Y is S = (0, ). Logarithm is then one of transformations to consider when trying to obtain a correct (wrong. Model Building 1. Transformation of response #12;Logarithmic transformation of response When does
Program Transformation Mechanics A Classification of Mechanisms for Program Transformation
Utrecht, Universiteit
Program Transformation Mechanics A Classification of Mechanisms for Program Transformation with a Survey of Existing Transformation Systems Jonne van Wijngaarden Eelco Visser UU-CS-2003-048 Institute Transformation Mechanics A Classification of Mechanisms for Program Transformation with a Survey of Existing
IMAGINED TRANSFORMATIONS 1 Running head: IMAGINED TRANSFORMATION OF BODIES
Zacks, Jeffrey M.
IMAGINED TRANSFORMATIONS 1 Running head: IMAGINED TRANSFORMATION OF BODIES Imagined Transformations TRANSFORMATIONS 2 Abstract A number of spatial reasoning problems can be solved by performing an imagined transformation of one's egocentric perspective. A series of experiments were carried out to characterize
Synchrotron infrared confocal microscope: Application to infrared 3D spectral imaging
Paris-Sud XI, UniversitÃ© de
Synchrotron infrared confocal microscope: Application to infrared 3D spectral imaging F Jamme1, 2 coupled to an infrared microscope allows imaging at the so-called diffraction limit. Thus, numerous infrared beamlines around the world have been developed for infrared chemical imaging. Infrared microscopes
A Novel Spectroscopic Ellipsometer in the Infrared
Eindhoven, Technische Universiteit
A Novel Spectroscopic Ellipsometer in the Infrared Proefschrift ter verkrijging van de graad van-Charles A novel spectroscopic ellipsometer in the infrared / by Jean-Charles Cigal. Â Eindhoven : Technische / infraroodspectroscopie / siliciumoxide / botweefsel Subject headings: ellipsometers / infrared spectroscopy / silicon
Abidi, Mongi A.
been tried (Dolman, 1975) using a Fourier transform. This method, based on power spectra analysis Multi-scale Analysis of shell growth increments using wavelet transform," Computers & Geosciences of environments). The search for these two types of information inside accretionary shells of living or fossil
Can infrared gravitons screen $?$?
Jaume Garriga; Takahiro Tanaka
2007-09-04T23:59:59.000Z
It has been suggested that infrared gravitons in de Sitter space may lead to a secular screening of the effective cosmological constant. This seems to clash with the naive expectation that the curvature scalar should stay constant due to the Heisenberg equation of motion. Here, we show that the tadpole correction to the local expansion rate, which has been used in earlier analyses as an indicator of a decaying effective $\\Lambda$, is not gauge invariant. On the other hand, we construct a gauge invariant operator which measures the renormalized curvature scalar smeared over an arbitrary window function, and we find that there is no secular screening of this quantity (to any given order in perturbation theory).
Lateral conduction infrared photodetector
Kim, Jin K. (Albuquerque, NM); Carroll, Malcolm S. (Albuquerque, NM)
2011-09-20T23:59:59.000Z
A photodetector for detecting infrared light in a wavelength range of 3-25 .mu.m is disclosed. The photodetector has a mesa structure formed from semiconductor layers which include a type-II superlattice formed of alternating layers of InAs and In.sub.xGa.sub.1-xSb with 0.ltoreq.x.ltoreq.0.5. Impurity doped regions are formed on sidewalls of the mesa structure to provide for a lateral conduction of photo-generated carriers which can provide an increased carrier mobility and a reduced surface recombination. An optional bias electrode can be used in the photodetector to control and vary a cut-off wavelength or a depletion width therein. The photodetector can be formed as a single-color or multi-color device, and can also be used to form a focal plane array which is compatible with conventional read-out integrated circuits.
P. R. Crompton
2005-04-17T23:59:59.000Z
We follow recent formulations of dimensionally reduced loop operators for quantum field theories and exact representations of probabilistic lattice dynamics to identify a new scheme for the evaluation of partition function zeroes, allowing for the explicit analysis of quantum critical phenomena. This new approach gives partition function zeroes from a factored quantum loop operator basis and, as we show, constitutes an effective mapping of the renormalization group $\\beta$-function onto the noncommuting local operator basis of a countably finite Hilbert space. The Vafa-Witten theorem for CP-violation and related complex action problems of Euclidean Field theories are discussed, following recent treatments, and are shown to be natural consequences of the analyticity of the limiting distribution of these zeroes, and properties of vacuum regimes governed by a dominant quantum fluctuation in the vicinity of a renormalization group equation fixed point in the infrared.
Lorentz transformation by mimicking the Lorentz transformation
Bernhard Rothenstein; Stefan Popescu
2007-09-24T23:59:59.000Z
We show that starting with the fact that special relativity theory is concerned with a distortion of the observed length of a moving rod, without mentioning if it is a "contraction" or "dilation", we can derive the Lorentz transformations for the spacetime coordinates of the same event. This derivation is based on expressing the length of the moving rod as a sum of components with all the lengths involved in this summation being measured by the observers of the same inertial reference frame.
Applying Improved Efficiency Transformers
Haggerty, N. K.; Malone, T. P.
primary and secondary windings, and vary significantly with transformer loading. Load or conductor losses vary with the square of the per unit load. Average full load losses of a 1500 kVA transformer can range from 11 to 21 kW. Manufacturers can... to meet the requirements of a particular transformer specification. These designs will have varying amounts of core steel and copper or aluminum conductors with differing no-load and load losses. The lowest cost design that meets all the applicable...
Synchrotron Infrared Unveils a Mysterious Microbial Community
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Synchrotron Infrared Unveils a Mysterious Microbial Community Synchrotron Infrared Unveils a Mysterious Microbial Community Print Tuesday, 22 January 2013 00:00 A cold sulfur...
Microsoft Word - DOE-ID-INL-13-028.docx
Broader source: Energy.gov (indexed) [DOE]
of these solutions or solids by spectroscopic techniques such as Fourier-transform infrared (FT-IR), Raman, fluorescence and Ultraviolet-Visible-Near Infrared (UV-Vis-NIR)...
Interleaflet Diffusion Coupling When Polymer Adsorbs onto One Sole Leaflet of a Supported
Zhang, Liangfang
was quantified using Fourier transform infrared spectroscopy in the mode of attenuated total reflection (FTIR-photon excitation mode using a home-built apparatus.14 As illustrated in Figure 1, near-infrared femtosecond pulses
Transforming California's Freight Transport System
California at Davis, University of
Transforming California's Freight Transport System Policy Forum on the Role of Freight Transport Standard #12;2050 Vision- Key Conceptual Outcomes Technology Transformation Early Action Cleaner Combustion Multiple Strategies Federal Action Efficiency Gains Energy Transformation 9 #12;Further reduce localized
J. Twamley; G. J. Milburn
2007-02-12T23:59:59.000Z
We uncover a new type of unitary operation for quantum mechanics on the half-line which yields a transformation to ``Hyperbolic phase space''. We show that this new unitary change of basis from the position x on the half line to the Hyperbolic momentum $p_\\eta$, transforms the wavefunction via a Mellin transform on to the critial line $s=1/2-ip_\\eta$. We utilise this new transform to find quantum wavefunctions whose Hyperbolic momentum representation approximate a class of higher transcendental functions, and in particular, approximate the Riemann Zeta function. We finally give possible physical realisations to perform an indirect measurement of the Hyperbolic momentum of a quantum system on the half-line.
Liu, David
We present a new technique for the design of transformation-optics devices based on large-scale optimization to achieve the optimal effective isotropic dielectric materials within prescribed index bounds, which is ...
Series Transmission Line Transformer
Buckles, Robert A. (Livermore, CA); Booth, Rex (Livermore, CA); Yen, Boris T. (El Cerrito, CA)
2004-06-29T23:59:59.000Z
A series transmission line transformer is set forth which includes two or more of impedance matched sets of at least two transmissions lines such as shielded cables, connected in parallel at one end ans series at the other in a cascading fashion. The cables are wound about a magnetic core. The series transmission line transformer (STLT) which can provide for higher impedance ratios and bandwidths, which is scalable, and which is of simpler design and construction.
J. LaChapelle
2015-01-07T23:59:59.000Z
Functional integrals are defined in terms of locally compact topological groups and their associated Banach-valued Haar integrals. This approach generalizes the functional integral scheme of Cartier and DeWitt-Morette. The definition allows a construction of functional Mellin transforms. In turn, the functional Mellin transforms can be used to define functional traces, logarithms, and determinants. The associated functional integrals are useful tools for probing function spaces in general and $C^\\ast$-algebras in particular. Several interesting aspects are explored.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. X, NO. XX, AUGUST 2010 1 Fourier-Hermite Kalman Filter
Särkkä, Simo
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. X, NO. XX, AUGUST 2010 1 Fourier-Hermite Kalman Filter of Gaussian filters called Fourier-Hermite Kalman filters. Fourier-Hermite Kalman filters are based Kalman filter is based on the Taylor series. The first order truncation of the Fourier-Hermite series
Performance of a MEMS-based AO-OCT system using Fourier Reconstruction
Evans, J; Zawadzki, R; Jones, S; Olivier, S; Werner, J S
2009-01-21T23:59:59.000Z
Adaptive optics (AO) and optical coherence tomography (OCT) are powerful imaging modalities that, when combined, can provide high-resolution (3.5 {micro}m isotropic), 3-D images of the retina. The AO-OCT system at UC Davis has demonstrated the utility of this technology for microscopic, volumetric, in vivo retinal imaging. The current system uses an AOptix bimorph deformable mirror (DM) for low-order, high-stroke correction and a 140-actuator Boston Micromachines DM for high-order correction. Developments to improve performance or functionality of the instrument are on-going. Based on previous work in system characterization we have focused on improved AO control. We present preliminary results and remaining challenges for a newly implemented Fourier transform reconstructor (FTR). The previously reported error budget analysis is also reviewed and updated, with consideration of how to improve both the amount of residual error and the robustness of the system. Careful characterization of the AO system will lead to improved performance and inform the design of future systems.
Discrete Fourier-based Correlations for Entanglement Detection
Ryo Namiki; Yuuki Tokunaga
2012-06-06T23:59:59.000Z
We introduce two forms of correlations on two $d$-level (qudit) systems for entanglement detection. The correlations can be measured via experimentally tractable two local measurement settings and their separable bounds are determined by discrete Fourier-based uncertainty relations. They are useful to estimate lower bounds of the Schmidt number in order to clarify generation of a genuine qudit entanglement. We also present inseparable conditions for multi-qudit systems associated with the qudit stabilizer formalism as another role of the correlations on the inseparability problem.
Fourier Synthesis Methods for Control of Inhomogeneous Quantum Systems
Brent Pryor; Navin Khaneja
2007-05-17T23:59:59.000Z
Finding control laws (pulse sequences) that can compensate for dispersions in parameters which govern the evolution of a quantum system is an important problem in the fields of coherent spectroscopy, imaging, and quantum information processing. The use of composite pulse techniques for such tasks has a long and widely known history. In this paper, we introduce the method of Fourier synthesis control law design for compensating dispersions in quantum system dynamics. We focus on system models arising in NMR spectroscopy and NMR imaging applications.
Shibahashi, Hiromoto; Murphy, Simon J
2015-01-01T23:59:59.000Z
Continuous and precise space-based photometry has made it possible to measure the orbital frequency modulation of pulsating stars in binary systems with extremely high precision over long time spans. Frequency modulation caused by binary orbital motion manifests itself as a multiplet with equal spacing of the orbital frequency in the Fourier transform. The amplitudes and phases of the peaks in these multiplets reflect the orbital properties, hence the orbital parameters can be extracted by analysing such precise photometric data alone. We derive analytically the theoretical relations between the multiplet properties and the orbital parameters, and present a method for determining these parameters, including the eccentricity and the argument of periapsis, from a quintuplet or a higher order multiplet. This is achievable with the photometry alone, without spectroscopic radial velocity measurements. We apply this method to Kepler mission data of KIC8264492, KIC9651065, and KIC10990452, each of which is shown to ...
From transformation traces to transformation rules: Assisting Model Driven Engineering
Paris-Sud XI, Université de
From transformation traces to transformation rules: Assisting Model Driven Engineering approach. In this paper we are interested in semi-automatically gen- erating labelled graph (model) transformations conform to a particu- lar syntax (meta-model). Those transformations are basic operations in model driven
Laplace Transforms An integral transform is an operator
Ikenaga, Bruce
9281998 Laplace Transforms An integral transform is an operator F (s) = Z b a K(s; t)f(t) dt: The input to the transform is the function f(t); the output is the function F (s). (By convention, small letters denote the inputs to a transform, and the corresponding capital letters denote the corresponding
Industrial Use of Infrared Inspections
Duch, A. A.
1979-01-01T23:59:59.000Z
operating load. - Pinpointing of the exact location of the problems. - The inspections will locate problems which will, in most cases, go unnoticed using conventional techniques. An infrared inspection will locate problem areas in the plant electrica1...
The SNAP near infrared detectors
2002-01-01T23:59:59.000Z
it will detect Type Ia supernovæ between z = 1 and 1.7 andphotometry for all supernovæ. HgCdTe technology, with a cut-Keywords: Cosmology, Supernovae, Dark Energy, Near Infrared,
First Evidence of Near-Infrared Photonic Bandgap in Polymeric Rod-Connected Diamond Structure
Chen, Lifeng; Zheng, Xu; Lin, Jia-De; Oulton, Ruth; Lopez-Garcia, Martin; Ho, Ying-Lung D; Rarity, John G
2015-01-01T23:59:59.000Z
We present the simulation, fabrication, and optical characterization of low-index polymeric rod-connected diamond (RCD) structures. Such complex three-dimensional photonic crystal structures are created via direct laser writing by two-photon polymerization. To our knowledge, this is the first measurement at near-infrared wavelengths, showing partial photonic bandgaps. We characterize structures in transmission and reflection using angular resolved Fourier image spectroscopy to visualize the band structure. Comparison of the numerical simulations of such structures with the experimentally measured data show good agreement for both P- and S-polarizations.
Infrared Dry-peeling Technology for Tomatoes
Infrared Dry-peeling Technology for Tomatoes Saves Energy Energy Efficiency Research Office PIER This research will use infrared heating technology for peeling tomatoes. Infrared dry peeling, a device, producing less wastewater and preserving product quality. Infrared drypeeling is expected to reduce
Generalization of Conformal Transformations
G. I. Garas'ko
2005-09-19T23:59:59.000Z
Conformal transformations of a Euclidean (complex) plane have some kind of completeness (sufficiency) for the solution of many mathematical and physical-mathematical problems formulated on this plane. There is no such completeness in the case of Euclidean, pseudo-Euclidean and polynumber spaces of dimension greater than two. In the present paper we show that using the concepts of analogical geometries allows us to generalize conformal transformations not only to the case of Euclidean or pseudo-Euclidean spaces, but also to the case of Finsler spaces, analogous to the spaces of affine connectedness. Examples of such transformations in the case of complex and hypercomplex numbers H_4 are presented. In the general case such transformations form a group of transitions, the elements of which can be viewed as transitions between projective Euclidean geometries of a distinguished class fixed by the choice of metric geometry admitting affine coordinates. The correlation between functions realizing generalized conformal transformations and generalized analytical functions can appear to be productive for the solution of fundamental problems in theoretical and mathematical physics.
High-power parametric conversion from near-infrared to short-wave infrared
Dalang, Robert C.
High-power parametric conversion from near-infrared to short-wave infrared Adrien Billat,1,* Steevy.billat@epfl.ch Abstract: We report the design of an all-fiber continuous wave Short-Wave Infrared source capable to output.4370) Nonlinear optics, fibers; (140.3070) Infrared and far-infrared lasers. References and links 1. M. N
YET ANOTHER INFRARED ARCHIVE: RELEASE OF THE INFRARED TELESCOPE IN SPACE (IRTS) ARCHIVE DATA
Yamamura, Issei
1 YET ANOTHER INFRARED ARCHIVE: RELEASE OF THE INFRARED TELESCOPE IN SPACE (IRTS) ARCHIVE DATA I the near- and mid-infrared low resolu- tion spectral catalogues of point sources, and image maps in #12;ve wavelength bands in the far-infrared. The point source catalogues contains over 14 000 (near-infrared
HIGH-RESOLUTION MID-INFRARED SPECTROSCOPY OF ULTRALUMINOUS INFRARED GALAXIES D. Farrah,1
Galis, Frietson
infrared emission. This initially provoked heated debate between a ``starburst'' camp and an ``activeHIGH-RESOLUTION MID-INFRARED SPECTROSCOPY OF ULTRALUMINOUS INFRARED GALAXIES D. Farrah,1 J. Bernard, 10Y37 m spectra of 53 ultraluminous infrared galaxies (ULIRGs), taken using the Infrared Spectrograph
Fourier-Mukai partners of a K3 surface and the cusps of its Kahler moduli
Shouhei Ma
2008-08-22T23:59:59.000Z
Using lattice theory, we establish a one-to-one correspondence between the set of Fourier-Mukai partners of a projective $K3$ surface and the set of 0-dimensional standard cusps of its Kahler moduli. We also study the relation between twisted Fourier-Mukai partners and general 0-dimensional cusps, and the relation between Fourier-Mukai partners with elliptic fibrations and certain 1-dimensional cusps.
Du royaume de Fourier aux ondelettes D'une argumentation scientique une ralit numrique
Menichi, Luc
Du royaume de Fourier aux ondelettes D'une argumentation scientique Ã une rÃ©alitÃ© numÃ©rique GÃ©nÃ©rale Du royaume de Fourier aux ondelettes 1 / 58 #12;ConfÃ©rence Scientique GÃ©nÃ©rale Du royaume de Fourier aux ondelettes 2 / 58 #12;Jean Morlet (13 janvier 1931, 27 avril 2007) NationalitÃ© : FranÃ§aise
Fourier analzis s fggvnysorok 3/1/0/v/5 Trgyfelel s: Kro Andrs
RÃ¡th, BalÃ¡zs
Fourier analÃzis Ã©s fÃ¼ggvÃ©nysorok 3/1/0/v/5 TÃ¡rgyfelel s: KroÃ³ AndrÃ¡s TovÃ¡bbi oktatÃ³k: HorvÃ¡th MiklÃ³s, JÃ¡rai Antal, G. HorvÃ¡th ÃkosnÃ© A trigonometrikus rendszer teljessÃ©ge. Fourier-sorok. A Parseval Fourier-transzformaciÃ³ja. Laplace-transzformÃ¡ciÃ³ Ã©s alkalmazÃ¡sai. Fourier-sorok konvergenciÃ¡ja, Dirichlet
Coordinate transformations in quaternion spaces
Zihua Weng
2009-05-15T23:59:59.000Z
The quaternion spaces can be used to describe the property of electromagnetic field and gravitational field. In the quaternion space, some coordinate transformations can be deduced from the feature of quaternions, including Lorentz transformation and Galilean transformation etc., when the coordinate system is transformed into others. And some coordinate transformations with variable speed of light can be obtained in the electromagnetic field and gravitational field.
Dusty Infrared Galaxies: Sources of the Cosmic Infrared Background
Guilaine Lagache; Jean-Loup Puget; Herve Dole
2005-07-12T23:59:59.000Z
The discovery of the Cosmic Infrared Background (CIB) in 1996, together with recent cosmological surveys from the mid-infrared to the millimeter have revolutionized our view of star formation at high redshifts. It has become clear, in the last decade, that a population of galaxies that radiate most of their power in the far-infrared (the so-called ``infrared galaxies'') contributes an important part of the whole galaxy build-up in the Universe. Since 1996, detailed (and often painful) investigations of the high-redshift infrared galaxies have resulted in the spectacular progress covered in this review. We outline the nature of the sources of the CIB including their star-formation rate, stellar and total mass, morphology, metallicity and clustering properties. We discuss their contribution to the stellar content of the Universe and their origin in the framework of the hierarchical growth of structures. We finally discuss open questions for a scenario of their evolution up to the present-day galaxies.
Properties of infrared extrapolations in a harmonic oscillator basis
Sidney A. Coon; Michael K. G. Kruse
2014-08-04T23:59:59.000Z
We continue our studies of infrared (ir) and ultraviolet (uv) regulators of no-core shell model calculations. We extend our results that an extrapolation in the ir cutoff with the uv cutoff above the intrinsic uv scale of the interaction is quite successful, not only for the eigenstates of the Hamiltonian but also for expectation values of operators considered long range. The latter results are obtained with Hamiltonians transformed by the similarity renormalization group (SRG) evolution. On the other hand, a suggested extrapolation in the uv cutoff when the ir cutoff is below the intrinsic ir scale is neither robust nor reliable.
Transforming Education at Einstein
Yates, Andrew
Transforming Education at Einstein EinstEin Winter/spring 2012 The Magazine for Alumni and Friends of Albert Einstein College of Medicine of Yeshiva University #12;2 EinstEin : WintEr/spring 2012 Meet Our interactive Companion Magazine Give Einstein's "virtual" version a try! this interactive version
Research Councils UK Transforming
Berzins, M.
Research Councils UK Transforming our energy future #12;Research funded by the Research Councils in 2002 to create a viable renewable energy research community to foster industrial engagement of research, expertise and the business capability to develop and exploit them commercially. Energy and its
TO TRANSFORM BIOMEDICAL ENGINEERING
IT'S TIME TO TRANSFORM BIOMEDICAL ENGINEERING EDUCATION #12;Charles H. & Bettye Barclay Professor Head, Department of Biomedical Engineering Texas A&M University We're dedicated to solving the world in biomedical engineering research and education and we're well on our way. Our faculty continues to engineer
Near infrared detectors for SNAP
Schubnell, M.; Barron, N.; Bebek, C.; Brown, M.G.; Borysow, M.; Cole, D.; Figer, D.; Lorenzon, W.; Mostek, N.; Mufson, S.; Seshadri, S.; Smith, R.; Tarle, G.
2006-05-23T23:59:59.000Z
Large format (1k x 1k and 2k x 2k) near infrared detectors manufactured by Rockwell Scientific Center and Raytheon Vision Systems are characterized as part of the near infrared R&D effort for SNAP (the Super-Nova/Acceleration Probe). These are hybridized HgCdTe focal plane arrays with a sharp high wavelength cut-off at 1.7 um. This cut-off provides a sufficiently deep reach in redshift while it allows at the same time low dark current operation of the passively cooled detectors at 140 K. Here the baseline SNAP near infrared system is briefly described and the science driven requirements for the near infrared detectors are summarized. A few results obtained during the testing of engineering grade near infrared devices procured for the SNAP project are highlighted. In particular some recent measurements that target correlated noise between adjacent detector pixels due to capacitive coupling and the response uniformity within individual detector pixels are discussed.
Germanium blocked impurity band far infrared detectors
Rossington, C.S.
1988-04-01T23:59:59.000Z
The infrared portion of the electromagnetic spectrum has been of interest to scientist since the eighteenth century when Sir William Herschel discovered the infrared as he measured temperatures in the sun's spectrum and found that there was energy beyond the red. In the late nineteenth century, Thomas Edison established himself as the first infrared astronomer to look beyond the solar system when he observed the star Arcturus in the infrared. Significant advances in infrared technology and physics, long since Edison's time, have resulted in many scientific developments, such as the Infrared Astronomy Satellite (IRAS) which was launched in 1983, semiconductor infrared detectors for materials characterization, military equipment such as night-vision goggles and infrared surveillance equipment. It is now planned that cooled semiconductor infrared detectors will play a major role in the ''Star Wars'' nuclear defense scheme proposed by the Reagan administration.
Zhang, F. F.; Yuan, J.; Chen, D. D.; Qian, Q.; Zhang, Q. Y., E-mail: qyzhang@scut.edu.cn [State Key Laboratory of Luminescence Materials and Devices, and Institute of Optical Communication Materials, South China University of Technology, Guangzhou 510641 (China); Zhang, W. J. [Shandong Provincial Key Laboratory of Preparation and Measurement of Building Materials, University of Jinan, Jinan 250022 (China)] [Shandong Provincial Key Laboratory of Preparation and Measurement of Building Materials, University of Jinan, Jinan 250022 (China)
2014-04-15T23:59:59.000Z
The influence of fluoride and shielding gas (O{sub 2} or Ar) on the physical and spectroscopic properties of Er{sup 3+} doped TeO{sub 2}-ZnO-ZnF{sub 2} glass system is investigated. The larger electronegativity of F than O accounts for the gradual decrease of refractive index, density, and J-O parameters with increasing ZnF{sub 2}. An analysis on Fourier transform infrared transmission spectra reveals that the absorption coefficient of OH{sup ?} around 3 ?m as low as 0.247 cm{sup ?1} can be achieved when 30 mol% ZnF{sub 2} containing sample is treated with Ar gas during glass melting process. The reduction of OH{sup ?} groups combined with the low multiphonon relaxation rate (207 s{sup ?1}) contributes to the enhanced emissions at 1.5 and 2.7 ?m, along with prolonged lifetimes of {sup 4}I{sub 11/2} and {sup 4}I{sub 13/2} levels. A high branching ratio (17.95%) corresponding to the Er{sup 3+}: {sup 4}I{sub 11/2} ? {sup 4}I{sub 13/2} transition, the large absorption and emission cross section (0.44 × 10{sup ?20} cm{sup 2} and 0.45 × 10{sup ?20} cm{sup 2}), and good gain cross section demonstrate that oxyfluoride tellurite glass could be a promising material for a diode-pump 2.7 ?m fiber laser.
Infrared extrapolations for atomic nuclei
R. J. Furnstahl; G. Hagen; T. Papenbrock; K. A. Wendt
2014-08-01T23:59:59.000Z
Harmonic oscillator model-space truncations introduce systematic errors to the calculation of binding energies and other observables. We identify the relevant infrared scaling variable and give values for this nucleus-dependent quantity. We consider isotopes of oxygen computed with the coupled-cluster method from chiral nucleon-nucleon interactions at next-to-next-to-leading order and show that the infrared component of the error is sufficiently understood to permit controlled extrapolations. By employing oscillator spaces with relatively large frequencies, well above the energy minimum, the ultraviolet corrections can be suppressed while infrared extrapolations over tens of MeVs are accurate for ground-state energies. However, robust uncertainty quantification for extrapolated quantities that fully accounts for systematic errors is not yet developed.
Lattice Simulations and Infrared Conformality
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Appelquist, Thomas; Fleming, George T.; Lin, Meifeng; Neil, Ethan T.; Schaich, David A.
2011-09-01T23:59:59.000Z
We examine several recent lattice-simulation data sets, asking whether they are consistent with infrared conformality. We observe, in particular, that for an SU(3) gauge theory with 12 Dirac fermions in the fundamental representation, recent simulation data can be described assuming infrared conformality. Lattice simulations include a fermion mass m which is then extrapolated to zero, and we note that this data can be fit by a small-m expansion, allowing a controlled extrapolation. We also note that the conformal hypothesis does not work well for two theories that are known or expected to be confining and chirally broken, and that it does work well for another theory expected to be infrared conformal.
Lattice Simulations and Infrared Conformality
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Appelquist, Thomas; Fleming, George T.; Lin, Meifeng; Neil, Ethan T.; Schaich, David A.
2011-09-01T23:59:59.000Z
We examine several recent lattice-simulation data sets, asking whether they are consistent with infrared conformality. We observe, in particular, that for an SU(3) gauge theory with 12 Dirac fermions in the fundamental representation, recent simulation data can be described assuming infrared conformality. Lattice simulations include a fermion mass m which is then extrapolated to zero, and we note that this data can be fit by a small-m expansion, allowing a controlled extrapolation. We also note that the conformal hypothesis does not work well for two theories that are known or expected to be confining and chirally broken, and that itmore »does work well for another theory expected to be infrared conformal.« less
Aboelaze, Mokhtar
of appliances from microwave ovens to cars, and many embedded systems are portable and depend on small batteries was used in 3- D induction well logging probelm where it could be used in characterization of oil operates on a battery with a limited pow- er supply capability. Obviously that require hardware to use
Karim, Muhammed
2014-11-27T23:59:59.000Z
Post-translational modification (PTM) of proteins is known to be a method by which protein function can be regulated. The addition of selected chemical groups at specific amino acid residues can act as a switch by which ...
Cooke, Stephen, A
2013-02-03T23:59:59.000Z
We aim to (i) provide data that directly addresses the fundamental roles of actinide valence electrons in chemical bonding, and (ii) serve to provide prototypical data for the heavy element computational chemistry community. These goals will be achieved through the first pure rotational spectroscopic measurements on prototypical systems at ultra-high resolution. These systems encompass low oxidation state uranium and thorium compounds including, but not limited to, UX and ThX, X = F, Cl, Br, I, and UY and ThY, Y = O, S, and other simple U and Th-containing compounds. Our primary experimental tools involve time-domain rotational spectroscopy achieving line widths and resolutions of a few kHz.
Analysis of the High-Resolution Infrared Spectrum of Cyclopropane...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
the High-Resolution Infrared Spectrum of Cyclopropane. Analysis of the High-Resolution Infrared Spectrum of Cyclopropane. Abstract: The high resolution infrared spectrum of...
Algorithms for transform selection in multiple-transform video compression
Cai, Xun, S.M. Massachusetts Institute of Technology
2012-01-01T23:59:59.000Z
Selecting proper transforms for video compression has been based on the rate-distortion criterion. Transforms that appear reasonable are incorporated into a video coding system and their performance is evaluated. This ...
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
A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic
Paris-Sud XI, Université de
A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic Fran¸cois Bobot1 oracle based on the Simplex pro- cedure. Our algorithm is proved sound, complete, and terminating are extensions of either the Simplex algorithm or the Fourier-Motzkin method. Both techniques first relax
Electrospray Diagnostics by Fourier Analysis of Current Oscillations and Fast Imaging
Vertes, Akos
Electrospray Diagnostics by Fourier Analysis of Current Oscillations and Fast Imaging Lida Parvin of the spray voltage, liquid flow rate, and composition. Most Fourier spectra indicated a strong dc component, a low-frequency branch at low flow rates and applied voltages, and a high- frequency branch
Wavelet Denoising of Chirp-Like Signals in the Fourier Domain
Harris, John G.
Wavelet Denoising of Chirp-Like Signals in the Fourier Domain Liping Deng and John G. Harris- Wavelet shrinkage is a simple yet powerful tool for denoising piecewise smooth signals. In this paper we conventional wavelet shrinkage. Then, we obtain the resulting time domain signal with the inverse Fourier
A Fourier-based Valuation Method for Bermudan and Barrier Options under Heston's Model
Oosterlee, Cornelis W. "Kees"
A Fourier-based Valuation Method for Bermudan and Barrier Options under Heston's Model Fang Fang dependency. Monte Carlo simulation methods are often used for the valuation of such products in practice and Cornelis W. Oosterlee May 4, 2010 Abstract We develop an efficient Fourier-based numerical method
Search Techniques for Fourier-Based Learning Adam Drake and Dan Ventura
Martinez, Tony R.
Search Techniques for Fourier-Based Learning Adam Drake and Dan Ventura Computer Science Department Brigham Young University {acd2,ventura}@cs.byu.edu Abstract Fourier-based learning algorithms rely-based algorithms have also been effectively applied in real-world settings [Drake and Ventura, 2005; Kargupta et al
Real time infrared aerosol analyzer
Johnson, Stanley A. (Countryside, IL); Reedy, Gerald T. (Bourbonnais, IL); Kumar, Romesh (Naperville, IL)
1990-01-01T23:59:59.000Z
Apparatus for analyzing aerosols in essentially real time includes a virtual impactor which separates coarse particles from fine and ultrafine particles in an aerosol sample. The coarse and ultrafine particles are captured in PTFE filters, and the fine particles impact onto an internal light reflection element. The composition and quantity of the particles on the PTFE filter and on the internal reflection element are measured by alternately passing infrared light through the filter and the internal light reflection element, and analyzing the light through infrared spectrophotometry to identify the particles in the sample.
Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation
Howard S. Cohl
2012-02-08T23:59:59.000Z
In even-dimensional Euclidean space for integer powers of the Laplacian greater than or equal to the dimension divided by two, a fundamental solution for the polyharmonic equation has logarithmic behavior. We give two approaches for developing a Fourier expansion of this logarithmic fundamental solution. The first approach is algebraic and relies upon the construction of two-parameter polynomials. We describe some of the properties of these polynomials, and use them to derive the Fourier expansion for a logarithmic fundamental solution of the polyharmonic equation. The second approach depends on the computation of parameter derivatives of Fourier series for a power-law fundamental solution of the polyharmonic equation. The resulting Fourier series is given in terms of sums over associated Legendre functions of the first kind. We conclude by comparing the two approaches and giving the azimuthal Fourier series for a logarithmic fundamental solution of the polyharmonic equation in rotationally-invariant coordinate systems.
Sheng, Lei; Liu, Jing
2014-01-01T23:59:59.000Z
The room temperature liquid metal is quickly emerging as an important functional material in a variety of areas like chip cooling, 3D printing or printed electronics etc. With diverse capabilities in electrical, thermal and flowing behaviors, such fluid owns many intriguing properties that had never been anticipated before. Here, we show a group of unconventional phenomena occurring on the liquid metal objects. Through applying electrical field on the liquid metals immersed in water, a series of complex transformation behaviors such as self-assembling of a sheet of liquid metal film into a single sphere, quick mergences of separate metal droplets, controlled self-rotation and planar locomotion of liquid metal objects can be realized. Meanwhile, it was also found that two accompanying water vortexes were induced and reliably swirled near the rotating liquid metal sphere. Further, effects of the shape, size, voltage, orientation and geometries of the electrodes to control the liquid metal transformers were clar...
Quantitative nondestructive testing using Infrared Thermography
Manohar, Arun
2012-01-01T23:59:59.000Z
steady, and selective heating scenarios. Infrared Physics &heating thermography and lock-in ther- mography to quantitative nondestructive evaluations. Infraredheating is very difficult to achieve in a practical scenario. The Infrared
Infrared emitting device and method
Kurtz, Steven R. (Albuquerque, NM); Biefeld, Robert M. (Albuquerque, NM); Dawson, L. Ralph (Albuquerque, NM); Howard, Arnold J. (Albuquerque, NM); Baucom, Kevin C. (Albuquerque, NM)
1997-01-01T23:59:59.000Z
An infrared emitting device and method. The infrared emitting device comprises a III-V compound semiconductor substrate upon which are grown a quantum-well active region having a plurality of quantum-well layers formed of a ternary alloy comprising InAsSb sandwiched between barrier layers formed of a ternary alloy having a smaller lattice constant and a larger energy bandgap than the quantum-well layers. The quantum-well layers are preferably compressively strained to increase the threshold energy for Auger recombination; and a method is provided for determining the preferred thickness for the quantum-well layers. Embodiments of the present invention are described having at least one cladding layer to increase the optical and carrier confinement in the active region, and to provide for waveguiding of the light generated within the active region. Examples have been set forth showing embodiments of the present invention as surface- and edge-emitting light emitting diodes (LEDs), an optically-pumped semiconductor laser, and an electrically-injected semiconductor diode laser. The light emission from each of the infrared emitting devices of the present invention is in the midwave infrared region of the spectrum from about 2 to 6 microns.
Infrared Catastrophe for Nelson's Model
Masao Hirokawa
2005-11-08T23:59:59.000Z
We mathematically study the infrared catastrophe for the Hamiltonian of Nelson's model when it has the external potential in a general class. For the model, we prove the pull-through formula on ground states in operator theory first. Based on this formula, we show both non-existence of any ground state and divergence of the total number of soft bosons.
Sample rotating turntable kit for infrared spectrometers
Eckels, Joel Del (Livermore, CA); Klunder, Gregory L. (Oakland, CA)
2008-03-04T23:59:59.000Z
An infrared spectrometer sample rotating turntable kit has a rotatable sample cup containing the sample. The infrared spectrometer has an infrared spectrometer probe for analyzing the sample and the rotatable sample cup is adapted to receive the infrared spectrometer probe. A reflectance standard is located in the rotatable sample cup. A sleeve is positioned proximate the sample cup and adapted to receive the probe. A rotator rotates the rotatable sample cup. A battery is connected to the rotator.
Solar and Infrared Radiation Station (SIRS) Handbook
Stoffel, T
2005-07-01T23:59:59.000Z
The Solar Infrared Radiation Station (SIRS) provides continuous measurements of broadband shortwave (solar) and longwave (atmospheric or infrared) irradiances for downwelling and upwelling components. The following six irradiance measurements are collected from a network of stations to help determine the total radiative flux exchange within the Atmospheric Radiation Measurement (ARM) Southern Great Plains (SGP) Climate Research Facility: • Direct normal shortwave (solar beam) • Diffuse horizontal shortwave (sky) • Global horizontal shortwave (total hemispheric) • Upwelling shortwave (reflected) • Downwelling longwave (atmospheric infrared) • Upwelling longwave (surface infrared)
Beck, Margaret
MS217 Spring 2008: Review of Fourier Series and Convergence Results Please Note: This is just a review of Fourier series and does not necessarily include everything we discussed in lecture on this topic. Roughly speaking, the term "Fourier series" refers to a series of sine, cosine or both sine
Using Infrared Sensors to Follow an Infrared Beam Scott Sobieski, Thomas Richards, David Peacock,
Kay, Jennifer S.
Using Infrared Sensors to Follow an Infrared Beam Scott Sobieski, Thomas Richards, David Peacock, Computer Science Department The second robot follows the infrared beam from the first robot. These sensors infrared sensors produce a value between 0 and 255 depending on their distance from the emitting beam
YET ANOTHER INFRARED ARCHIVE: RELEASE OF THE INFRARED TELESCOPE IN SPACE (IRTS) ARCHIVE DATA
Yamamura, Issei
1 YET ANOTHER INFRARED ARCHIVE: RELEASE OF THE INFRARED TELESCOPE IN SPACE (IRTS) ARCHIVE DATA I from 1.4 to 700 Âµm. Presently the archive includes the near- and mid-infrared low resolu- tion spectral catalogues of point sources, and image maps in five wavelength bands in the far-infrared. The point source
Comparison of Long-Wave Infrared Imaging and Visible/Near-Infrared Imaging of Vegetation for
Lawrence, Rick L.
Comparison of Long-Wave Infrared Imaging and Visible/Near-Infrared Imaging of Vegetation using spectral imaging. This has been accom- plished with both visible/near-infrared (Vis/NIR) sunlight reflection and long-wave infrared (LWIR) thermal emission. During a 4-week period in summer 2011
Chapter VIII Automated Overlay of Infrared
Hopgood, Adrian
166 Chapter VIII Automated Overlay of Infrared and Visual Medical Images G. Schaefer Aston written permission of IGI Global is prohibited. AbstrAct Medical infrared imaging captures the temperature a useful diagnostic visualisation for the clinician. #12;167 Automated Overlay of Infrared and Visual
Satellite Infrared Soundings From NOAA Spacecraft
NOAA Tec / Satellite Infrared Soundings From NOAA Spacecraft #12;U.S. DEPARTMENT OF COMMERCE Infrared Soundings From NOAA Spacecraft L. M. McMillin D. Q. Wark J. M. Siomkajlo P. G. Abel A. Werbowetzki. E. Bittner C. M. Hayden #12;UDC 551.507.362.2:551.508.2:551.501.7:535-1 Physics Infrared radiation
Infrared Catastrophe for Nelson's Model Masao Hirokawa
Infrared Catastrophe for Nelson's Model Masao Hirokawa Department of Mathematics, Okayama University, 700Â8530 Okayama, Japan Abstract We study the infrared catastrophe for Nelson's Hamiltonian general conditions. 1 Introduction The purpose of this study is to investigate the infrared catastrophe
Highlights: Optical/NIR Spectroscopy of Ultraluminous Infrared Galaxies
S. Veilleux
1999-03-14T23:59:59.000Z
This paper reviews the results from recent optical and near-infrared spectroscopic studies of ultraluminous infrared galaxies.
FOURIER AND BIOT NUMBERS AND THE ACCURACY OF CONDUCTION MODELLING Jan L M Hensen, Abdullatif E Nakhi
Mukasyan, Alexander
FOURIER AND BIOT NUMBERS AND THE ACCURACY OF CONDUCTION MODELLING Jan L M Hensen, Abdullatif E of the associated theory the paper concentrates on the effects of Fourier and Biot numbers on the accuracy, °C Fo Fourier number ( t x-2 ), - thermal conductivity, W m-1 K-1 h convective heat transfer
Gajic, Zoran
3.6 Fourier Analysis MATLAB Laboratory Experiment Purpose: This experiment demonstrates approximations of periodic signals by truncated Fourier series as defined in formula (3.4). Using MATLAB students, and to find the system response due to periodic inputs. Part 1. Find the trigonometric form of the Fourier
Loss, Daniel
knows, Fourier's law of heat conduction states that the flow of heat increases with the thermal of generality and even rigour". Nearly 200 years later, no one doubts the empirical standing of Fourier's law in ordinary circum- stances. Yet a contemporary com- mittee could echo the reservations of Fourier's original
Trapa, Peter
Fourier series of radial functions in several variables Mark A. Pinsky, Nancy K. Stanton and Peter E. Trapa 1a. Introduction The subject of Fourier series has been instrumental in the development which are encountered in Fourier analysis. The spectral theory of self- adjoint operators in Hilbert
Market Transformation Fact Sheet
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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 on Google Bookmark EERE: Alternative Fuels Data Center Home Page onYouTube YouTube Note: Since the.pdfBreaking ofOil & GasTechnical Publications Â» Market Analysis Transformation
Transforming Commercial Building Operations
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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 on Google Bookmark EERE: Alternative Fuels DataDepartment of Energy Your Density Isn'tOriginEducationVideoStrategic|IndustrialCenter Gets People Work,Amy Hollander: I'dTransforming
Analysis of photonic Doppler velocimetry data based on the continuous wavelet transform
Liu Shouxian; Wang Detian; Li Tao; Chen Guanghua; Li Zeren; Peng Qixian [Institute of Fluid Physics, China Academy of Engineering Physics, P.O. Box 919-109, Mianyang, Sichuan 621900 (China)
2011-02-15T23:59:59.000Z
The short time Fourier transform (STFT) cannot resolve rapid velocity changes in most photonic Doppler velocimetry (PDV) data. A practical analysis method based on the continuous wavelet transform (CWT) was presented to overcome this difficulty. The adaptability of the wavelet family predicates that the continuous wavelet transform uses an adaptive time window to estimate the instantaneous frequency of signals. The local frequencies of signal are accurately determined by finding the ridge in the spectrogram of the CWT and then are converted to target velocity according to the Doppler effects. A performance comparison between the CWT and STFT is demonstrated by a plate-impact experiment data. The results illustrate that the new method is automatic and adequate for analysis of PDV data.
Leung Shingyu, E-mail: masyleung@ust.h [Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay (Hong Kong); Qian Jianliang, E-mail: qian@math.msu.ed [Department of Mathematics, Michigan State University, East Lansing, MI 48824 (United States)
2010-11-20T23:59:59.000Z
We propose the backward phase flow method to implement the Fourier-Bros-Iagolnitzer (FBI)-transform-based Eulerian Gaussian beam method for solving the Schroedinger equation in the semi-classical regime. The idea of Eulerian Gaussian beams has been first proposed in . In this paper we aim at two crucial computational issues of the Eulerian Gaussian beam method: how to carry out long-time beam propagation and how to compute beam ingredients rapidly in phase space. By virtue of the FBI transform, we address the first issue by introducing the reinitialization strategy into the Eulerian Gaussian beam framework. Essentially we reinitialize beam propagation by applying the FBI transform to wavefields at intermediate time steps when the beams become too wide. To address the second issue, inspired by the original phase flow method, we propose the backward phase flow method which allows us to compute beam ingredients rapidly. Numerical examples demonstrate the efficiency and accuracy of the proposed algorithms.
Lei Sheng; Jie Zhang; Jing Liu
2014-01-30T23:59:59.000Z
The room temperature liquid metal is quickly emerging as an important functional material in a variety of areas like chip cooling, 3D printing or printed electronics etc. With diverse capabilities in electrical, thermal and flowing behaviors, such fluid owns many intriguing properties that had never been anticipated before. Here, we show a group of unconventional phenomena occurring on the liquid metal objects. Through applying electrical field on the liquid metals immersed in water, a series of complex transformation behaviors such as self-assembling of a sheet of liquid metal film into a single sphere, quick mergences of separate metal droplets, controlled self-rotation and planar locomotion of liquid metal objects can be realized. Meanwhile, it was also found that two accompanying water vortexes were induced and reliably swirled near the rotating liquid metal sphere. Further, effects of the shape, size, voltage, orientation and geometries of the electrodes to control the liquid metal transformers were clarified. Such events are hard to achieve otherwise on rigid metal or conventional liquid spheres. This finding has both fundamental and practical significances which suggest a generalized way of making smart soft machine, collecting discrete metal fluids, as well as flexibly manipulating liquid metal objects including accompanying devices.
Transforming PV Installations toward Dispatchable, Schedulable...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Transforming PV Installations toward Dispatchable, Schedulable Energy Solutions Transforming PV Installations toward Dispatchable, Schedulable Energy Solutions Advanced Energy...
LU transformation invariant operators and LU transformation invariant
Xin-wei Zha; Chun-min Zhang
2007-02-06T23:59:59.000Z
We proposed a concept of LU transformation invariant operators. By using this operator, arbitrary multi-qubit states LU transformation invariant and SLOCC invariant could be easily obtained. And we find that presences two kinds of invariant operators and corresponding invariants. One kind of operators yields LU invariants and the other operators results in SLOCC invariants. For three-qubit states, all independence LU transformation invariant are obtained. Furthermore, by this system method, arbitrary multi-qubit states invariants can be given.
Ferroelectric infrared detector and method
Lashley, Jason Charles (Sante Fe, NM); Opeil, Cyril P. (Chestnut Hill, MA); Smith, James Lawrence (Los Alamos, NM)
2010-03-30T23:59:59.000Z
An apparatus and method are provided for sensing infrared radiation. The apparatus includes a sensor element that is positioned in a magnetic field during operation to ensure a .lamda. shaped relationship between specific heat and temperature adjacent the Curie temperature of the ferroelectric material comprising the sensor element. The apparatus is operated by inducing a magnetic field on the ferroelectric material to reduce surface charge on the element during its operation.
Multi-channel infrared thermometer
Ulrickson, Michael A. (East Windsor, NJ)
1986-01-01T23:59:59.000Z
A device for measuring the two-dimensional temperature profile of a surface comprises imaging optics for generating an image of the light radiating from the surface; an infrared detector array having a plurality of detectors; and a light pipe array positioned between the imaging optics and the detector array for sampling, transmitting, and distributing the image over the detector surfaces. The light pipe array includes one light pipe for each detector in the detector array.
Infrared emitting device and method
Kurtz, S.R.; Biefeld, R.M.; Dawson, L.R.; Howard, A.J.; Baucom, K.C.
1997-04-29T23:59:59.000Z
The infrared emitting device comprises a III-V compound semiconductor substrate upon which are grown a quantum-well active region having a plurality of quantum-well layers formed of a ternary alloy comprising InAsSb sandwiched between barrier layers formed of a ternary alloy having a smaller lattice constant and a larger energy bandgap than the quantum-well layers. The quantum-well layers are preferably compressively strained to increase the threshold energy for Auger recombination; and a method is provided for determining the preferred thickness for the quantum-well layers. Embodiments of the present invention are described having at least one cladding layer to increase the optical and carrier confinement in the active region, and to provide for waveguiding of the light generated within the active region. Examples have been set forth showing embodiments of the present invention as surface- and edge-emitting light emitting diodes (LEDs), an optically-pumped semiconductor laser, and an electrically-injected semiconductor diode laser. The light emission from each of the infrared emitting devices of the present invention is in the midwave infrared region of the spectrum from about 2 to 6 microns. 8 figs.
Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold
C. Gérard; F. Hiroshima; A. Panati; A. Suzuki
2011-03-18T23:59:59.000Z
A scalar quantum field model defined on a pseudo Riemann manifold is considered. The model is unitarily transformed the one with a variable mass. By means of a Feynman-Kac-type formula, it is shown that when the variable mass is short range, the Hamiltonian has no ground state. Moreover the infrared divergence of the expectation values of the number of bosons in the ground state is discussed.
Transformational Manufacturing | Argonne National Laboratory
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
about 12 million people and generates another 7 million jobs in related businesses. Argonne is working with industry to develop innovative and transformational technology to...
Transformation Nets -A Runtime Model for Transformation Languages
Hochreiter, Sepp
as first-class arti- facts throughout the software lifecycle requiring the availability of proper of Software Technology and Interactive Systems Vienna University of Technology Favoritenstraße 9)--called Transformation Nets--for the development, execution and debugging of model transformations on a high level
Passive infrared bullet detection and tracking
Karr, Thomas J. (Alamo, CA)
1997-01-01T23:59:59.000Z
An apparatus and method for passively detecting a projectile such as, for example, a bullet using a passive infrared detector. A passive infrared detector is focused onto a region in which a projectile is expected to be located. Successive images of infrared radiation in the region are recorded. Background infrared radiation present in the region is suppressed such that second successive images of infrared radiation generated by the projectile as the projectile passes through the region are produced. A projectile path calculator determines the path and other aspects of the projectile by using the second successive images of infrared radiation generated by the projectile. The present invention, in certain embodiments, also determines the origin of the path of the projectile and takes a photograph of the area surrounding the origin and/or fires at least one projectile at the area surrounding the origin of the path of the projectile.
Passive infrared bullet detection and tracking
Karr, T.J.
1997-01-21T23:59:59.000Z
An apparatus and method for passively detecting a projectile such as, for example, a bullet using a passive infrared detector. A passive infrared detector is focused onto a region in which a projectile is expected to be located. Successive images of infrared radiation in the region are recorded. Background infrared radiation present in the region is suppressed such that second successive images of infrared radiation generated by the projectile as the projectile passes through the region are produced. A projectile path calculator determines the path and other aspects of the projectile by using the second successive images of infrared radiation generated by the projectile. The present invention, in certain embodiments, also determines the origin of the path of the projectile and takes a photograph of the area surrounding the origin and/or fires at least one projectile at the area surrounding the origin of the path of the projectile. 9 figs.
Infra-red signature neutron detector
Bell, Zane William (Oak Ridge, TN) [Oak Ridge, TN; Boatner, Lynn Allen (Oak Ridge, TN) [Oak Ridge, TN
2009-10-13T23:59:59.000Z
A method of detecting an activator, the method including impinging with an activator a receptor material that includes a photoluminescent material that generates infrared radiation and generation a by-product of a nuclear reaction due to the activator impinging the receptor material. The method further includes generating light from the by-product via the Cherenkov effect, wherein the light activates the photoluminescent material so as to generate the infrared radiation. Identifying a characteristic of the activator based on the infrared radiation.
Infrared regularization with vector mesons and baryons
P. C. Bruns; Ulf-G. Meißner
2008-08-23T23:59:59.000Z
We extend the method of infrared regularization to spin-1 fields coupled to baryons. As an application, we discuss the axial form factor of the nucleon.
Inversion of the star transform
Fan Zhao; John C. Schotland; Vadim A. Markel
2014-05-06T23:59:59.000Z
We define the star transform as a generalization of the broken ray transform introduced by us in previous work. The advantages of using the star transform include the possibility to reconstruct the absorption and the scattering coefficients of the medium separately and simultaneously (from the same data) and the possibility to utilize scattered radiation which, in the case of the conventional X-ray tomography, is discarded. In this paper, we derive the star transform from physical principles, discuss its mathematical properties and analyze numerical stability of inversion. In particular, it is shown that stable inversion of the star transform can be obtained only for configurations involving odd number of rays. Several computationally-efficient inversion algorithms are derived and tested numerically.
The Hyperanalytic Wavelet Transform
S. C. Olhede; G. Metikas
2006-05-23T23:59:59.000Z
In this paper novel classes of 2-D vector-valued spatial domain wavelets are defined, and their properties given. The wavelets are 2-D generalizations of 1-D analytic wavelets, developed from the Generalized Cauchy-Riemann equations and represented as quaternionic functions. Higher dimensionality complicates the issue of analyticity, more than one `analytic' extension of a real function is possible, and an `analytic' analysis wavelet will not necessarily construct `analytic' decomposition coefficients. The decomposition of locally unidirectional and/or separable variation is investigated in detail, and two distinct families of hyperanalytic wavelet coefficients are introduced, the monogenic and the hypercomplex wavelet coefficients. The recasting of the analysis in a different frame of reference and its effect on the constructed coefficients is investigated, important issues for sampled transform coefficients. The magnitudes of the coefficients are shown to exhibit stability with respect to shifts in phase. Hyperanalytic 2-D wavelet coefficients enable the retrieval of a phase-and-magnitude description of an image in phase space, similarly to the description of a 1-D signal with the use of 1-D analytic wavelets, especially appropriate for oscillatory signals. Existing 2-D directional wavelet decompositions are related to the newly developed framework, and new classes of mother wavelets are introduced.
phytoplankton species in a eutrophic lake using synchrotron-based Fourier transform infrared spectroscopy A. Resolution of codominant phytoplankton species in a eutrophic lake using synchrotron-based Fourier transform column of a stratified eutrophic lake (Rostherne Mere, UK). FTIR spectra of the two algae showed
Methods for detection and characterization of signals in noisy data with the Hilbert-Huang Transform
Alexander Stroeer; John K. Cannizzo; Jordan B. Camp; Nicolas Gagarin
2009-03-26T23:59:59.000Z
The Hilbert-Huang Transform is a novel, adaptive approach to time series analysis that does not make assumptions about the data form. Its adaptive, local character allows the decomposition of non-stationary signals with hightime-frequency resolution but also renders it susceptible to degradation from noise. We show that complementing the HHT with techniques such as zero-phase filtering, kernel density estimation and Fourier analysis allows it to be used effectively to detect and characterize signals with low signal to noise ratio.
Compensated infrared absorption sensor for carbon dioxide and other infrared absorbing gases
Owen, Thomas E.
2005-11-29T23:59:59.000Z
A gas sensor, whose chamber uses filters and choppers in either a semicircular geometry or annular geometry, and incorporates separate infrared radiation filters and optical choppers. This configuration facilitates the use of a single infrared radiation source and a single detector for infrared measurements at two wavelengths, such that measurement errors may be compensated.
Li, Yang; Maurer, Jürgen; Roth, Andreas; Vogel, Vitali; Winter, Ernst; Mäntele, Werner, E-mail: maentele@biophysik.uni-frankfurt.de [Institut für Biophysik, Goethe-Universität Frankfurt am Main, Max-von Laue-Straße 1, D-60438 Frankfurt am Main (Germany)
2014-08-15T23:59:59.000Z
A setup for the simultaneous measurement of mid-infrared spectra and static light scattering is described that can be used for the analysis of the formation of nanoscale and microscopic aggregates from smaller molecules to biopolymers. It can be easily integrated into sample chambers of infrared spectrometers or combined with laser beams from tunable infrared lasers. Here, its use for the analysis of the formation of amyloid fibrils from intact proteins is demonstrated. The formation of amyloid fibrils or plaques from proteins is a widespread and pathogenetic relevant process, and a number of diseases are caused and correlated with the deposition of amyloid fibrils in cells and tissues. The molecular mechanisms of these transformations, however, are still unclear. We report here the simultaneous measurement of infrared spectra and static light scattering for the analysis of fibril formation from egg-white lysozyme. The transformation of the native form into non-native forms rich in ?-sheet structure is measured by analysis of the amide I spectral region in the infrared spectra, which is sensitive for local structures. At the same time, light scattering signals at forward direction as well as the forward/backward ratio, which are sensitive for the number of scattering centers and their approximate sizes, respectively, are collected for the analysis of fibril growth. Thermodynamic and kinetic parameters as well as mechanistic information are deduced from the combination of the two complementary techniques.