Fourier Transform Infrared Spectroscopy
Nizkorodov, Sergey
found to contaminate ground water supplies by release from leaking gasoline storage tanks. MTBE has beenFTIR - 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
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
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
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 ...
Schoonover, J R; Steckle, Jr., W P; Elliot, N; Ebey, P S; Nobile, A; Nikroo, A; Cook, R C; Letts, S A
2005-06-16T23:59:59.000Z
Planar samples of varying thicknesses of both CH and CD glow discharge polymer have been measured with Fourier transform infrared (FTIR) spectroscopy before and after exposure to deuterium-tritium (DT) gas at elevated temperature and pressure. Planar samples of polyimide films made from both hydrogenated and deuterated precursors have also been examined by FTIR before and after DT exposure. The post-exposure FTIR spectra demonstrated no measurable exchange of hydrogen with deuterium or tritium for either polymer. Evidence for oxidation of the glow discharge polymer due to atmospheric oxygen was the only chemical change indicated by the FTIR data.
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
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Lupoi, Jason S.; Smith-Moritz, Andreia; Singh, Seema; McQualter, Richard; Scheller, Henrik V.; Simmons, Blake A.; Henry, Robert J.
2015-07-10T23:59:59.000Z
Background: Slow-degrading, fossil fuel-derived plastics can have deleterious effects on the environment, especially marine ecosystems. The production of bio-based, biodegradable plastics from or in plants can assist in supplanting those manufactured using fossil fuels. Polyhydroxybutyrate (PHB) is one such biodegradable polyester that has been evaluated as a possible candidate for relinquishing the use of environmentally harmful plastics. Results: PHB, possessing similar properties to polyesters produced from non-renewable sources, has been previously engineered in sugarcane, thereby creating a high-value co-product in addition to the high biomass yield. This manuscript illustrates the coupling of a Fourier-transform infrared microspectrometer, equipped with a focalmore »plane array (FPA) detector, with multivariate imaging to successfully identify and localize PHB aggregates. Principal component analysis imaging facilitated the mining of the abundant quantity of spectral data acquired using the FPA for distinct PHB vibrational modes. PHB was measured in the chloroplasts of mesophyll and bundle sheath cells, acquiescent with previously evaluated plant samples. Conclusion: This study demonstrates the power of IR microspectroscopy to rapidly image plant sections to provide a snapshot of the chemical composition of the cell. While PHB was localized in sugarcane, this method is readily transferable to other value-added co-products in different plants.« less
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.
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
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
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.
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
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
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 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.
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.
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.
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
Nonlinear Radon and Fourier Transforms Franois Rouvire
Vallette, Bruno
Nonlinear Radon and Fourier Transforms François Rouvière Université de Nice Laboratoire Dieudonné, of the clas- sical Radon transform on hyperplanes. A function f on Rn can be reconstructed from nonlinear Radon transforms, obtained by integrating f and a ...nite num- ber of multiples x f over a family
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
Cavity QED implementation of the discrete quantum Fourier transform
Scully, Marlan O.; Zubairy, M. Suhail
2002-01-01T23:59:59.000Z
and classical field, and the resulting state in the cavities is the quantum Fourier transform of the input state....
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
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.
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
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.
Implementation of Quantum and Classical Discrete Fractional Fourier Transforms
Steffen Weimann; Armando Perez-Leija; Maxime Lebugle; Robert Keil; Malte Tichy; Markus Gräfe; Rene Heilmann; Stefan Nolte; Hector Moya-Cessa; Gregor Weihs; Demetrios N. Christodoulides; Alexander Szameit
2015-07-31T23:59:59.000Z
Fourier transforms are ubiquitous mathematical tools in basic and applied sciences. We here report classical and quantum optical realizations of the discrete fractional Fourier transform, a generalization of the Fourier transform. In the integrated configuration used in our experiments, the order of the transform is mapped onto the longitudinal coordinate, thus opening up the prospect of simultaneously observing all Transformation orders. In the context of classical optics, we implement discrete fractional Fourier transforms, both integer and fractional, of exemplary wave functions and experimentally demonstrate the shift theorem. Moreover, we apply this approach in the quantum realm to transform separable and highly entangled biphoton wave functions. The proposed approach is versatile and could find applications in various fields where Fourier transforms are essential tools, such as quantum chemistry and biology, physics and mathematics.
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.
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
Automatic Performance Optimization of the Discrete Fourier Transform
Franchetti, Franz
Automatic Performance Optimization of the Discrete Fourier Transform on Distributed Memory {franzf,pueschel}@ece.cmu.edu Abstract. This paper introduces a formal framework for automatically. Using a tagging mechanism and formula rewriting, we extend SPIRAL to automatically generate parallelized
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.
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 ...
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.
The Unified Discrete Fourier-Hartley Transforms Processor
Oraintara, Soontorn
transform (DST) is useful for spectrum analysis, data compression, speech processing, biomedical signal all the phases of image and signal processing and cover a large range of biomedical signal and image Fourier-Hartley transform (UDHFT) processor for digital signal processing applications. The proposed
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.
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.
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.
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
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
Numerical Methods for the Inverse Nonlinear Fourier Transform
Civelli, Stella; Secondini, Marco
2015-01-01T23:59:59.000Z
We introduce a new numerical method for the computation of the inverse nonlinear Fourier transform and compare its computational complexity and accuracy to those of other methods available in the literature. For a given accuracy, the proposed method requires the lowest number of operations
Discrete Fourier Transform Homework consists of the problems not ...
2011-02-18T23:59:59.000Z
its digits in decimal system. Same modulo 9. .... engineering and communication). One of the ... Many achievements of the modern “computer revolution” would be impossi- ... 4An analog computer specially designed to evaluate Fourier Transform. ... published at exactly the right time, when fast digital computers just became.
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.
Quantum Discrete Fourier Transform with Classical Output for Signal Processing
Chao-Yang Pang; Ben-Qiong Hu
2007-06-17T23:59:59.000Z
Discrete Fourier transform (DFT) is the base of modern signal or information processing. 1-Dimensional fast Fourier transform (1D FFT) and 2D FFT have time complexity O(NlogN) and O(N^2logN) respectively. Quantum 1D and 2D DFT algorithms with classical output (1D QDFT and 2D QDFT) are presented in this paper. And quantum algorithm for convolution estimation is also presented in this paper. Compared with FFT, QDFT has two advantages at least. One of advantages is that 1D and 2D QDFT has time complexity O(sqrt(N)) and O(N) respectively. The other advantage is that QDFT can process very long signal sequence at a time. QDFT and quantum convolution demonstrate that quantum signal processing with classical output is possible.
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.
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
Radon and Fourier transforms for D-modules Andrea D'Agnolo
D'Agnolo, Andrea
Radon and Fourier transforms for D-modules Andrea D'Agnolo and Michael Eastwood Version: July 17, 2002 Contents 1 Radon and Fourier transforms for D-modules 3 1.1 Review on algebraic D-modules . . . . . . . . . . . . . . . . 3 1.2 Review on the Fourier-Laplace transform . . . . . . . . . . 5 1.3 Review on the Radon
Radon and Fourier transforms for Dmodules Andrea D'Agnolo and Michael Eastwood
Radon and Fourier transforms for Dmodules Andrea D'Agnolo and Michael Eastwood Contents Introduction 2 Acknowledgements 2 1. Radon and Fourier transforms for Dmodules 3 1.1. Review on algebraic Dmodules 3 1.2. Review on the FourierLaplace transform 5 1.3. Review on the Radon transform(s) 6 1.4. Review
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.
The Radon Transform on SO(3): A Fourier Slice Theorem and Numerical
Prestin, Jürgen
The Radon Transform on SO(3): A Fourier Slice Theorem and Numerical Inversion Ralf Hielscherdimensional Radon transform on the rotation group SO(3) is an ill posed inverse problem which applies to X inversion of the onedimensional Radon transform on SO(3). Based on a Fourier slice theorem the discrete
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.
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.
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.
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.
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 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.
Contributed article Fractional Fourier transform pre-processing for neural networks
Barshan, Billur
Contributed article Fractional Fourier transform pre-processing for neural networks and its This study investigates fractional Fourier transform pre-processing of input signals to neural networks. Judicious choice of this parameter can lead to overall improvement of the neural network performance
Matrix Fourier transform in dynamic theory of elasticity of piecewise homogeneous medium
O. Yaremko.; E. Mogileva
2013-09-24T23:59:59.000Z
The analytical solving dynamic problems of elasticity theory for piecewise homogeneous half-space is found. The explicit construction of direct and inverse Fourier's vector transform with discontinuous coefficients is presented. The technique of applying Fourier's vector transform with discontinuous coefficients for solving problems of mathematical physics in the heterogeneous environments is developed on an example of the dynamic problems of the elasticity theory.
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
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.
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.
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
Inversion of weighted Radon transforms via finite Fourier series weight approximations
Guillement, Jean-Pol
Inversion of weighted Radon transforms via finite Fourier series weight approximations J Moscow, Russia e-mail: novikov@cmap.polytechnique.fr Abstract. We consider weighted Radon transforms approach by numerical examples for the case of the attenuated Radon transforms in the framework
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 \
Pilgrim, Richard Allen
1994-01-01T23:59:59.000Z
The performance characteristics of the wavelet transform and the short-time Fourier transform (STFT) for transient detection are examined by means of computer simulation. The STFT uses a power-of-two decimation-in-time FFT with various frame sizes...
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.
Fourier Transform Infrared Spectroscopy for Process Monitoring and Control
Solomon, P. R.; Carangelo, M. D.; Carangelo, R. M.
1994-01-01T23:59:59.000Z
This paper discusses recent applications of FT-IR spectroscopy to measure gas concentrations and temperatures, and particle sizes. Advances in hardware are discussed and results for field tests in pulp and paper and utility ...
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.''
Representation of the Fourier transform as a weighted sum of the complex error functions
S. M. Abrarov; B. M. Quine
2015-08-05T23:59:59.000Z
In this paper we show that a methodology based on a sampling with the Gaussian function of kind $h\\,{e^{ - {{\\left( {t/c} \\right)}^2}}}/\\left( {{c}\\sqrt \\pi } \\right)$, where ${c}$ and $h$ are some constants, leads to the Fourier transform that can be represented as a weighted sum of the complex error functions. Due to remarkable property of the complex error function, the Fourier transform based on the weighted sum can be significantly simplified and expressed in terms of a damping harmonic series. In contrast to the conventional discrete Fourier transform, this methodology results in a non-periodic wavelet approximation. Consequently, the proposed approach may be useful and convenient in algorithmic implementation.
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...
Fast Inverse Nonlinear Fourier Transform For Generating Multi-Solitons In Optical Fiber
Wahls, Sander
2015-01-01T23:59:59.000Z
The achievable data rates of current fiber-optic wavelength-division-multiplexing (WDM) systems are limited by nonlinear interactions between different subchannels. Recently, it was thus proposed to replace the conventional Fourier transform in WDM systems with an appropriately defined nonlinear Fourier transform (NFT). The computational complexity of NFTs is a topic of current research. In this paper, a fast inverse NFT algorithm for the important special case of multi-solitonic signals is presented. The algorithm requires only $\\mathcal{O}(D\\log^{2}D)$ floating point operations to compute $D$ samples of a multi-soliton. To the best of our knowledge, this is the first algorithm for this problem with $\\log^{2}$-linear complexity. The paper also includes a many samples analysis of the generated nonlinear Fourier spectra.
Nikolay I. Agladz, John Klopf, Gwyn Williams, Albert J. Sievers
2010-06-01T23:59:59.000Z
By use of coherent terahertz synchrotron radiation, we experimentally tested a holographic Fourier transform spectrometer coupled to an array detector to determine its viability as a spectral device. Somewhat surprisingly, the overall performance strongly depends on the absorptivity of the birefringent lithium tantalate pixels in the array detector.
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.
FT-ICR (Fourier Transform Ion Cyclotron Resonance) ,,, 'Y`fNX^[CVSR"NX^[,Z--
Maruyama, Shigeo
FT-ICR (Fourier Transform Ion Cyclotron Resonance) ,É,æ,é 'Y`fNX^·[·CVSR"NX^·[,ÌZ¿--Ê·ª·Í ·i"OE`å·H`··ZZOE±·S··E"OE`å@·H·j·>Íì·³"¹··CNX",ð·^NX^·[·CNX^·[,âVSR"NX
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}.
Bricker, Donald Lee
1986-01-01T23:59:59.000Z
Spectrometer (August 1986) Donald Lee Bricker II, B. S. Southwestern University Chairman of Advisory Committee: Dr. David H. Russell The Fourier transform ion cyclotron resonance (FTICR) has been utilized to observe both endothermic and exothermic ion...-molecule reactions. The FTICR was used to observe the negative ion chemistry of chromium pentacarbonyl radical anion, Cr(CO) , with oxygen. It has also been used to determine the thermodynamic properties of the product ions, i. e. , ionization potential, proton...
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
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)...
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.
Liu, Derek, E-mail: dmliu@ualberta.ca; Sloboda, Ron S. [Department of Medical Physics, Cross Cancer Institute, Edmonton, Alberta T6G 1Z2, Canada and Department of Oncology, University of Alberta, Edmonton, Alberta T6G 2R3 (Canada)] [Department of Medical Physics, Cross Cancer Institute, Edmonton, Alberta T6G 1Z2, Canada and Department of Oncology, University of Alberta, Edmonton, Alberta T6G 2R3 (Canada)
2014-05-15T23:59:59.000Z
Purpose: Boyer and Mok proposed a fast calculation method employing the Fourier transform (FT), for which calculation time is independent of the number of seeds but seed placement is restricted to calculation grid points. Here an interpolation method is described enabling unrestricted seed placement while preserving the computational efficiency of the original method. Methods: The Iodine-125 seed dose kernel was sampled and selected values were modified to optimize interpolation accuracy for clinically relevant doses. For each seed, the kernel was shifted to the nearest grid point via convolution with a unit impulse, implemented in the Fourier domain. The remaining fractional shift was performed using a piecewise third-order Lagrange filter. Results: Implementation of the interpolation method greatly improved FT-based dose calculation accuracy. The dose distribution was accurate to within 2% beyond 3 mm from each seed. Isodose contours were indistinguishable from explicit TG-43 calculation. Dose-volume metric errors were negligible. Computation time for the FT interpolation method was essentially the same as Boyer's method. Conclusions: A FT interpolation method for permanent prostate brachytherapy TG-43 dose calculation was developed which expands upon Boyer's original method and enables unrestricted seed placement. The proposed method substantially improves the clinically relevant dose accuracy with negligible additional computation cost, preserving the efficiency of the original method.
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.
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.
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
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.
Lebensohn, Ricardo A [Los Alamos National Laboratory; Lee, Sukbin [CMU; Rollett, Anthony D [CMU
2009-01-01T23:59:59.000Z
A viscoplastic approach using the Fast Fourier Transform (FFT) method for obtaining local mechanical response is utilized to study microstructure-property relationships in composite materials. Specifically, three-dimensional, two-phase digital materials containing isotropically coarsened particles surrounded by a matrix phase, generated through a Kinetic Monte Carlo Potts model for Ostwald ripening, are used as instantiations in order to calculate the stress and strain rate fields under uniaxial tension. The effects of the morphology of the matrix phase, the volume fraction and the contiguity of particles, and the polycrystallinity of matrix phase, on the stress and strain rate fields under uniaxial tension are examined. It is found that the first moments of the stress and strain rate fields have a different dependence on the particle volume fraction and the particle contiguity from their second moments. The average stresses and average strain rates of both phases and of the overall composite have rather simple relationships with the particle volume fraction whereas their standard deviations vary strongly, especially when the particle volume fraction is high, and the contiguity of particles has a noticeable effect on the mechanical response. It is also found that the shape of stress distribution in the BCC hard particle phase evolves as the volume fraction of particles in the composite varies, such that it agrees with the stress field in the BCC polycrystal as the volume of particles approaches unity. Finally, it is observed that the stress and strain rate fields in the microstructures with a polycrystalline matrix are less sensitive to changes in volume fraction and contiguity of particles.
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
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
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 ...
Kim, Do Heui; Mudiyanselage, Kumudu K.; Szanyi, Janos; Hanson, Jonathan C.; Peden, Charles HF
2014-02-27T23:59:59.000Z
Based on combined FTIR and XRD studies, we report here that H2O induces a morphological change of KNO3 species formed on model K2O/Al2O3 NOx storage-reduction catalysts. Specifically as evidenced by FTIR, the contact of H2O with NO2 pre-adsorbed on K2O/Al2O3 promotes the transformation from bidentate (surface-like) KNO3 species to ionic (bulk-like) ones irrespective of K loadings. Once H2O is removed from the sample, a reversible transformation into bidentate KNO3 is observed, demonstrating a significant dependence of H2O on such morphological changes. TR-XRD results show the formation of two different types of bulk KNO3 phases (orthorhomobic and rhombohedral) in an as-impregnated sample. Once H2O begins to desorb above 400 K, the former is transformed into the latter, resulting in the existence of only the rhombohedral KNO3 phase. On the basis of consistent FTIR and TR-XRD results, we propose a model for the morphological changes of KNO3 species with respect to NO2 adsorption/desorption, H2O and/or heat treatments. Compared with the BaO/Al2O3 system, K2O/Al2O3 shows some similarities with respect to the formation of bulk nitrates upon H2O contact. However, there are significant differences that originate from the lower melting temperature of KNO3 relative to Ba(NO3)2.
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.
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
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...
in the Snake River Plain Aquifer below the Test Area North (TAN) facility of the Idaho National Engineering
Pezolet, Michel
'Universite´, Sherbrooke, Que´bec, Canada J1K 2R1 b Unite´ de Bioinge´nierie et de Biotechnologie, Ho^pital St-Franc¸ois d'Assise, CHUQ, 10 rue de l'Espinay, Que´bec, Que´bec, Canada G1L 3L5 c De´partement de chimie, Centre de Recherche en Science et en Inge´nierie des Macromole´cules, Universite´ Laval, Que´bec, Que´bec, Canada G1K
Sparks, Donald L.
and observing the real time pH change by tracking the protonation of an acid-base dependent functional group. The pH of the overlaying solution dropped from pH 5 to below the indicator's acid dissociation constant
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.
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
Roger Lew; Brian P. Dyre; Steffen Werner; Jeffrey C. Joe; Brian Wotring; Tuan Tran
2008-09-01T23:59:59.000Z
The development of real-time predictors of mental workload is critical for the practical application of augmented cognition to human-machine systems. This paper explores a novel method based on a short-time Fourier transform (STFT) for analyzing galvanic skin conductance (SC) and pupillometry time-series data to extract estimates of mental workload with temporal bandwidth high-enough to be useful for augmented cognition applications. We tested the method in the context of a process control task based on the DURESS simulation developed by Vincente and Pawlak (1994; ported to Java by Cosentino,& Ross, 1999). SC, pupil dilation, blink rate, and visual scanning patterns were measured for four participants actively engaged in controlling the simulation. Fault events were introduced that required participants to diagnose errors and make control adjustments to keep the simulator operating within a target range. We were interested in whether the STFT of these measures would produce visible effects of the increase in mental workload and stress associated with these events. Graphical exploratory data analysis of the STFT showed visible increases in the power spectrum across a range of frequencies directly following fault events. We believe this approach shows potential as a relatively unobtrusive, low-cost, high bandwidth measure of mental workload that could be particularly useful for the application of augmented cognition to human-machine systems.
Scott, Jill Rennee; Tremblay, Paul Leland
2002-03-01T23:59:59.000Z
Traditionally, mass spectrometry has relied on manipulating the sample target to provide scanning capabilities for laser desorption microprobes. This has been problematic for an internal source laser desorption Fourier transform mass spectrometer (LD-FTMS) because of the high magnetic field (7 Tesla) and geometric constraints of the superconducting magnet bore. To overcome these limitations, we have implemented a unique external laser scanning mechanism for an internal source LD-FTMS. This mechanism provides adjustable resolution enhancement so that the spatial resolution at the target is not limited to that of the stepper motors at the light source (~5 µm/step). The spatial resolution is now limited by the practical optical diffraction limit of the final focusing lens. The scanning mechanism employs a virtual source that is wavelength independent up to the final focusing lens, which can be controlled remotely to account for focal length dependence on wavelength. A binary index provides an automatic alignment feature. The virtual source is located ~9 ft from the sample; therefore, it is completely outside of the vacuum system and beyond the 50 G line of the fringing magnetic field. To eliminate reproducibility problems associated with vacuum pump vibrations, we have taken advantage of the magnetic field inherent to the FTMS to utilize Lenz's law for vibrational dampening. The LD-FTMS microprobe has exceptional reproducibility, which enables successive mapping sequences for depth-profiling studies.
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Scott, Jill R.; Ham, Jason E.; Durham, Bill; Tremblay, Paul L.
2004-01-01T23:59:59.000Z
Metal polypyridines are excellent candidates for gas-phase optical experiments where their intrinsic properties can be studied without complications due to the presence of solvent. The fluorescence lifetimes of [Ru(bpy)3]1+trapped in an optical detection cell within a Fourier transform mass spectrometer were obtained using matrix-assisted laser desorption/ionization to generate the ions with either 2,5-dihydroxybenzoic acid (DHB) or sinapinic acid (SA) as matrix. All transients acquired, whether using DHB or SA for ion generation, were best described as approximately exponential decays. The rate constant for transients derived using DHB as matrix was 4×107s?1, while the rate constant using SA was 1×107s?1. Somemore »suggestions of multiple exponential decay were evident although limited by the quality of the signals. Photodissociation experiments revealed that [Ru(bpy)3]1+generated using DHB can decompose to [Ru(bpy)2]1+, whereas ions generated using SA showed no decomposition. Comparison of the mass spectra with the fluorescence lifetimes illustrates the promise of incorporating optical detection with trapped ion mass spectrometry techniques.« 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.
Boal, David
to write f(x) = n=1 an sin(nx) (2) f(x) x #12;PHYS 385 Lecture 3 - Fourier transforms 3 - 2 ©2003 by David) n=1 an sin(nx) dx = n=1 an -1 1 sin(m x) sin(nx) dx. (3) Working with the RHS: sin(m x) sin(nx) = 1(m x) sin(nx) dx = 1/2 -1 1 cos((m-n)x) dx - 1/2 -1 1 cos((m+n)x) dx = [1 / 2(m-n)] sin |-(m-n) +(m
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. %.
2011-01-01T23:59:59.000Z
spectroscopy coupled with multivariate data analysis. I.Krzanowski WJ: Principles of multivariate analysis: a user’set al. : Combining multivariate analysis and monosaccharide
2011-01-01T23:59:59.000Z
spectroscopy coupled with multivariate data analysis. I.Krzanowski WJ: Principles of multivariate analysis: a user’set al. : Combining multivariate analysis and monosaccharide
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
George, Steven M.
conducting ma- terial and is widely used in flat panel displays and solar cells.1,2 SnO2 is a possible high
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.
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
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
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
Bucchino, M. P.; Ziurys, L. M. [Department of Chemistry and Biochemistry, Department of Astronomy, and Steward Observatory, University of Arizona, Tucson, Arizona 85721 (United States)] [Department of Chemistry and Biochemistry, Department of Astronomy, and Steward Observatory, University of Arizona, Tucson, Arizona 85721 (United States); Sheridan, P. M., E-mail: sheridap@canisius.edu; Young, J. P.; Binns, M. K. L.; Ewing, D. W. [Department of Chemistry and Biochemistry, Canisius College, Buffalo, New York 14208 (United States)] [Department of Chemistry and Biochemistry, Canisius College, Buffalo, New York 14208 (United States)
2013-12-07T23:59:59.000Z
The pure rotational spectrum of KSH (X{sup ~1}A{sup ?}) has been measured using millimeter-wave direct absorption and Fourier transform microwave (FTMW) techniques. This work is the first gas-phase experimental study of this molecule and includes spectroscopy of KSD as well. In the millimeter-wave system, KSH was synthesized in a DC discharge from a mixture of potassium vapor, H{sub 2}S, and argon; a discharge-assisted laser ablation source, coupled with a supersonic jet expansion, was used to create the species in the FTMW instrument. Five and three rotational transitions in the range 3–57 GHz were recorded with the FTMW experiment for KSH and KSD, respectively, in the K{sub a} = 0 component; in these data, potassium quadrupole hyperfine structure was observed. Five to six transitions with K{sub a} = 0–5 were measured in the mm-wave region (260–300 GHz) for the two species. The presence of multiple asymmetry components in the mm-wave spectra indicates that KSH has a bent geometry, in analogy to other alkali hydrosulfides. The data were analyzed with an S-reduced asymmetric top Hamiltonian, and rotational, centrifugal distortion, and potassium electric quadrupole coupling constants were determined for both isotopolgues. The r{sub 0} geometry for KSH was calculated to be r{sub S-H} = 1.357(1) Å, r{sub K-S} = 2.806(1) Å, and ?{sub M-S-H} (°) = 95.0 (1). FTMW measurements were also carried out on LiSH and NaSH; metal electric quadrupole coupling constants were determined for comparison with KSH. In addition, ab initio computations of the structures and vibrational frequencies at the CCSD(T)/6-311++G(3df,2pd) and CCSD(T)/aug-cc-pVTZ levels of theory were performed for LiSH, NaSH, and KSH. Overall, experimental and computational data suggest that the metal-ligand bonding in KSH is a combination of electrostatic and covalent forces.
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.
McGuire, John Andrew
2004-11-24T23:59:59.000Z
The high temporal resolution and broad bandwidth of a femtosecond laser system are exploited in a pair of nonlinear optical studies of surfaces. The dephasing dynamics of resonances associated with the adatom dangling bonds of the Si(111)7 x 7 surface are explored by transient second-harmonic hole burning, a process that can be described as a fourth-order nonlinear optical process. Spectral holes produced by a 100 fs pump pulse at about 800 nm are probed by the second harmonic signal of a 100 fs pulse tunable around 800 nm. The measured spectral holes yield homogeneous dephasing times of a few tens of femtoseconds. Fits with a Lorentzian spectral hole centered at zero probe detuning show a linear dependence of the hole width on pump fluence, which suggests that charge carrier-carrier scattering dominates the dephasing dynamics at the measured excitation densities. Extrapolation of the deduced homogeneous dephasing times to zero excitation density yields an intrinsic dephasing time of {approx} 70 fs. The presence of a secondary spectral hole indicates that scattering of the surface electrons with surface optical phonons at 570 cm{sup -1} occurs within the first 200 fs after excitation. The broad bandwidth of femtosecond IR pulses is used to perform IR-visible sum frequency vibrational spectroscopy. By implementing a Fourier-transform technique, we demonstrate the ability to obtain sub-laser-bandwidth spectral resolution. FT-SFG yields a greater signal when implemented with a stretched visible pulse than with a femtosecond visible pulse. However, when compared with multichannel spectroscopy using a femtosecond IR pulse but a narrowband visible pulse, Fourier-transform SFG is found to have an inferior signal-to-noise ratio. A mathematical analysis of the signal-to-noise ratio illustrates the constraints on the Fourier-transform approach.
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.
K-corrections and filter transformations in the ultraviolet, optical, and near infrared
Michael R. Blanton; Sam Roweis
2006-06-07T23:59:59.000Z
Template fits to observed galaxy fluxes allow calculation of K-corrections and conversions among observations of galaxies at various wavelengths. We present a method for creating model-based template sets given a set of heterogeneous photometric and spectroscopic galaxy data. Our technique, non-negative matrix factorization, is akin to principle component analysis (PCA), except that it is constrained to produce nonnegative templates, it can use a basis set of models (rather than the delta function basis of PCA), and it naturally handles uncertainties, missing data, and heterogeneous data (including broad-band fluxes at various redshifts). The particular implementation we present here is suitable for ultraviolet, optical, and near-infrared observations in the redshift range 0 base our templates on stellar population synthesis models, the results are intepretable in terms of approximate stellar masses and star-formation histories. We present templates fit with this method to data from GALEX, Sloan Digital Sky Survey spectroscopy and photometry, the Two-Micron All Sky Survey, the Deep Extragalactic Evolutionary Probe and the Great Observatories Origins Deep Survey. In addition, we present software for using such data to estimate K-corrections and stellar masses.
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
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.
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
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.
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
Fourier based statistics for irregular spaced spatial data Suhasini Subba Rao
Subba Rao, Suhasini
Fourier based statistics for irregular spaced spatial data Suhasini Subba Rao Department A class of Fourier based statistics for irregular spaced spatial data is introduced, examples include. The Fourier based statistic is a quadratic form of a discrete Fourier- type transform of the spatial data
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
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
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
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...
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...
Transformation Composition Transformational Geometry
Ferguson, Thomas S.
Isomotries Transformation Composition Congruence Transformational Geometry Christopher Ograin Christopher Ograin Transformational Geometry #12;Isomotries Transformation Composition Congruence Geo Transformational Geometry #12;Isomotries Transformation Composition Congruence Definitions Transformation
Multi-reference Fourier Transform Holography
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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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article)41clothThe Bonneville PowerTariff Pages default SignEnergy4 3.4 Myriam DOECMS-SupportofelectronicStÃ¶hr Research 28
Fourier Transforms of Intertwining Operators and Plancherel ...
Sep 2, 2000 ... of a JSTOR transmission may be copied, downloaded, stored, further transmitted, transferred, distributed, altered, or otherwise used, in any ...
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).
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
Infrared spectroscopic signatures of (NH4)2SO4 aerosols
Weis, David D.; Ewing, George E.
1996-08-20T23:59:59.000Z
- ____ _ IRDetector xperiment p oduced a rosols at 304-5% RH as measured spectroscopically. Finally, i sedimentation experim nts, I / aerosols were trapped in the flow-through cell just as they were queous Solution WroCloth Desiccant in the desiccating cell... to the cell wall was packed with silica gel. In this x3.6 rs(SO cell he inle and outlet ports are nearly parallel with the cell axis. 0.40 Infrared extinction spectra were obtained by directing collimated radiation from a Fourier transform infrared (FT...
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
Fourier Series and Integrals Fourier Series
Mehta, Pankaj
(x) can be expanded in a Fourier series f(x) = a0 2 + n=1 an cos nx L + bn sin nx L , (1a) or expansion, multiply Eq. (1) by cos nx L or sin nx L and integrate over the interval. For this calculation, we need the basic orthogonality relation of the basis functions: L -L cos nx L cos mx L dx = mnL, (3
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
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 ...
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
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,...
Fourier plane imaging microscopy
Dominguez, Daniel, E-mail: daniel.dominguez@ttu.edu; Peralta, Luis Grave de [Department of Physics, Texas Tech University, Lubbock, Texas 79409 (United States); Nano Tech Center, Texas Tech University, Lubbock, Texas 79409 (United States); Alharbi, Nouf; Alhusain, Mdhaoui [Department of Physics, Texas Tech University, Lubbock, Texas 79409 (United States); Bernussi, Ayrton A. [Nano Tech Center, Texas Tech University, Lubbock, Texas 79409 (United States); Department of Electrical and Computer Engineering, Texas Tech University, Lubbock, Texas 79409 (United States)
2014-09-14T23:59:59.000Z
We show how the image of an unresolved photonic crystal can be reconstructed using a single Fourier plane (FP) image obtained with a second camera that was added to a traditional compound microscope. We discuss how Fourier plane imaging microscopy is an application of a remarkable property of the obtained FP images: they contain more information about the photonic crystals than the images recorded by the camera commonly placed at the real plane of the microscope. We argue that the experimental results support the hypothesis that surface waves, contributing to enhanced resolution abilities, were optically excited in the studied photonic crystals.
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
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.
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
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.
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.
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
Orthogonal fast spherical Bessel transform on uniform grid
Serov, Vladislav V
2015-01-01T23:59:59.000Z
We propose an algorithm for the orthogonal fast discrete spherical Bessel transform on an uniform grid. Our approach is based upon the spherical Bessel transform factorization into the two subsequent orthogonal transforms, namely the fast Fourier transform and the orthogonal transform founded on the derivatives of the discrete Legendre orthogonal polynomials.
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
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
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...
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.
Quantitative infrared absorption cross sections of isoprene for atmospheric measurements
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Brauer, C. S.; Blake, T. A.; Guenther, A. B.; Sharpe, S. W.; Sams, R. L.; Johnson, T. J.
2014-11-19T23:59:59.000Z
Isoprene (C5H8, 2-methyl-1,3-butadiene) is a volatile organic compound (VOC) and is one of the primary contributors to annual global VOC emissions. Isoprene is produced primarily by vegetation as well as anthropogenic sources, and its OH- and O3-initiated oxidations are a major source of atmospheric oxygenated organics. Few quantitative infrared studies have been reported for isoprene, limiting the ability to quantify isoprene emissions via remote or in situ infrared detection. We thus report absorption cross sections and integrated band intensities for isoprene in the 600–6500 cm-1 region. The pressure-broadened (1 atmosphere N2) spectra were recorded at 278, 298, and 323 Kmore »in a 19.94 cm path-length cell at 0.112 cm-1 resolution, using a Bruker IFS 66v/S Fourier transform infrared (FTIR) spectrometer. Composite spectra are derived from a minimum of seven isoprene sample pressures, each at one of three temperatures, and the number densities are normalized to 296 K and 1 atm.« less
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 duality of quantum curves
Martin Luu; Albert Schwarz
2015-04-07T23:59:59.000Z
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 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.
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article)41clothThe Bonneville PowerTariff Pages default SignEnergy4 3.4 MyriamEnergy MaterialsAdvanced Materials Advancedof
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 ...
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 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
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.
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 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.
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.
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.
Talwar, Devki N. [Department of Physics, Indiana University of Pennsylvania, 975 Oakland Avenue, 56 Weyandt Hall, Indiana, Pennsylvania 15705-1087 (United States)] [Department of Physics, Indiana University of Pennsylvania, 975 Oakland Avenue, 56 Weyandt Hall, Indiana, Pennsylvania 15705-1087 (United States); Yang, Tzuen-Rong [Department of Physics, National Taiwan Normal University, Taipei 106-11, Taiwan (China)] [Department of Physics, National Taiwan Normal University, Taipei 106-11, Taiwan (China); Hsiung Lin, Hao; Chuan Feng, Zhe [Institute of Photonics and Optoelectronics, Department of Electrical Engineering and Center for Engineering Material and Advanced Devices National Taiwan University, Taipei 106-17, Taiwan (China)] [Institute of Photonics and Optoelectronics, Department of Electrical Engineering and Center for Engineering Material and Advanced Devices National Taiwan University, Taipei 106-17, Taiwan (China)
2013-02-04T23:59:59.000Z
Vibrational spectra of gas-source molecular beam epitaxy grown dilute InN{sub x}As{sub 1-x}/InP (001) alloys are obtained using a Fourier-transform infrared (IR) spectroscopy. A triply degenerate N{sub As} local vibrational mode of T{sub d}-symmetry is observed near 438 cm{sup -1} corresponding to the In-N bond energy. The analysis of composition dependent infrared reflectivity spectra in InNAs has predicted a two-phonon-mode behavior. In In(Ga)-rich GaInNAs alloys the observed splitting of the N{sub As} local mode into a doublet for the N{sub As}-Ga{sub 1}(In{sub 1})In{sub 3}(Ga{sub 3}) pair-defect of C{sub 3v}-symmetry is consistent with our simulated results based on a sophisticated Green's function theory.
The domain of the Fourier integral
V. N. Tibabishev
2011-02-19T23:59:59.000Z
We consider the problem of determining the Fourier integral in the Hilbert space of square integrable functions. Fourier integral is the scalar product of two functions belonging to the Hilbert space of square integrable functions and the Hilbert space of almost periodic functions. Scalar product for different Hilbert spaces defined at the intersection of these spaces, which contains only one zero element. Therefore, the Fourier integral is not defined in the Hilbert space of square integrable functions with nonzero norm.
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...
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, ...
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.
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.
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.
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
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
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 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...
FOURIER SPECTRAL APPROXIMATION TO A DISSIPATIVE ...
SIAM (#1) 1035 2001 Apr 10 12:32:38
2001-06-25T23:59:59.000Z
SYSTEM MODELING THE FLOW OF LIQUID CRYSTALS? ... Abstract. We study a Fourier-spectral method for a dissipative system modeling the flow of ... Introduction. ...... [21] F.H. Lin, private communication, Courant Institute, New York
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.
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.
Mignotte, Max
(b) TransformÃ©e de Hough (Espace (s, #)) (c) Principales lignes reconstruites 5 #12; TRANSFORMÃ?E DE
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
Gering, Jon C.
Transformative Experiences Internships & Field Schools Honors & Research Faculty Notables Alumni have at least one poten- tially transformative experi- ence - an opportunity to de- sign and carry out to be transformational are study abroad, internships, service learning, research, student-led learning, and lead- ership
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.
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
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
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.
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.
Miniature, high-speed imaging transform spectrometers and advanced sampling algorithms
Chen, Yi, Ph. D. Massachusetts Institute of Technology
2015-01-01T23:59:59.000Z
This thesis describes the development of miniature imaging Fourier transform spectrometers and irregular sampling techniques. An imaging spectrometer is a device that takes a series of images that include information from ...
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
Khosrow Chadan
2007-06-27T23:59:59.000Z
Using the integral representations of the solutions of Schr\\"odinger equation, which are the essential ingredients of the Gel'fand-Levitan and Marchenko integral equations of inverse scattering theory, we obtain a general theorem on the positivity of some integral transforms, and extend the theorem of Bochner on Fourier transforms of functions of positive type to more general transforms. The present study is restricted to the positive half-axis. We then obtain a theorem on the positivity of Fourier cosine transform of the phase-shifts.
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 (
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.
Stieltjes Integral Theorem and The Hilbert Transform
Luisiana Xavier Cundin; Norman Barsalou
2011-05-20T23:59:59.000Z
Stieltjes integral theorem is more commonly known by the phrase 'integration by parts' and enables rearrangement of an otherwise intractable integral to a more amenable form; often permitting completion of an integral in closed form. Applying Stieltjes integral theorem to the Hilbert transform yields an equivalent alternate integral definition, which is homeomorphic and exhibits accelerated computation. By virtue of the convolution theorem, the integral is mapped to Fourier image space and delineates requirements for the inverse Fourier transform, also, these requirements reveal the underlying reason for increased computational speed. Lastly, an alternative to Cauchy's integral formula is deduced by extending the line integral into the complex domain and involves a line integral with logarithmic kernel.
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.
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
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
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.
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
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
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.
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
El Bedewi, A.; El Anany, G; El Mofty, M; Kretlow, A; Park, S; Miller, L
2010-01-01T23:59:59.000Z
The diagnosis of cutaneous lymphomas remains a challenge for both the clinician and dermatopathologist. To differentiate between frank malignant and premalignant lymphocytes within the skin. This study was performed on 20 patients with a mean age of 50 years. They were divided into two groups: mycosis fungoides (MF) (stage IA, IB and IIA) and pityriasis lichenoides chronica (PLC). Immunophenotyping using antibodies CD3, CD4, CD8, CD20 and CD30 was performed. Synchrotron Fourier transform infrared microspectroscopy (S-FTIRM) was performed on cell nuclei to assess chemical differences between MF and PLC cases as a potential complementary screening tool. Dermal spectra of both MF and PLC were compared using principal components analysis (PCA) of the S-FTIRM data. All PLC spectra was clustered together. However, the MF spectra formed two clusters, one that grouped with the PLC and the other grouped separately. Moreover, protein and nucleic acids showed highly significant differences between MF (IIA and IB), MF (IA) and PLC. The malignant transformation within lymphocytes was identifiable through the spectroscopic analysis of protein, RNA and DNA with S-FTIRM, making it a promising tool for classifying the progression of cutaneous T-cell lymphoma.
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.
Fourier analysis of luminosity-dependent galaxy clustering
Will J. Percival; Licia Verde; John A. Peacock
2003-09-25T23:59:59.000Z
We extend the Fourier transform based method for the analysis of galaxy redshift surveys of Feldman, Kaiser & Peacock (1994: FKP) to model luminosity-dependent clustering. In a magnitude limited survey, galaxies at high redshift are more luminous on average than galaxies at low redshift. Galaxy clustering is observed to increase with luminosity, so the inferred density field is effectively multiplied by an increasing function of radius. This has the potential to distort the shape of the recovered power spectrum. In this paper we present an extension of the FKP analysis method to incorporate this effect, and present revised optimal weights to maximize the precision of such an analysis. The method is tested and its accuracy assessed using mock catalogues of the 2-degree field galaxy redshift survey (2dFGRS). We also show that the systematic effect caused by ignoring luminosity-dependent bias was negligible for the initial analysis of the 2dFGRS of Percival et al. (2001). However, future surveys, sensitive to larger scales, or covering a wider range of galaxy luminosities will benefit from this refined method.
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.
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
Hough Transform Common Names: Hough transform
Masci, Frank
Hough Transform Common Names: Hough transform Brief Description The Hough transform is a technique that the desired features be specified in some parametric form, the classical Hough transform is most commonly used for the detection of regular curves such as lines, circles, ellipses, etc. A generalized Hough transform can
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...
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.
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.
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.
Oscillation of Fourier Integrals with a spectral gap
Fourier's work on heat propagation [11], and that study of sign changes was ..... have infinitely many sign changes, and we have to control their number on.
Grun, R. L. Jr.
This paper outlines how to determine what transformer losses cost and how to evaluate transformer bids to optimize the investment....
Grun, R. L. Jr.
1989-01-01T23:59:59.000Z
This paper outlines how to determine what transformer losses cost and how to evaluate transformer bids to optimize the investment....
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.
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
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.
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.
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.
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
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...
Supplemental Discussion Infrared spectroscopy
Brown, Michael E.
Supplemental Discussion Infrared spectroscopy We obtained near infrared reflectance spectra of 26 /~160 (see Supplemental Figure 1). The region between 1.81 and 1.89 µm has residual contamination the 50 Myr time period (see Supplemental Figure 2). doi: 10.1038/nature05619 SUPPLEMENTARY INFORMATION
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
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
Umstadter, Donald
Adaptive-feedback spectral-phase control for interactions with transform-limited ultrashort high December 20, 2013 Fourier-transform-limited light pulses were obtained at the laser-plasma interaction of an adaptive closed-loop. The coherent temporal contrast on the sub-picosecond time scale was two orders
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
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
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...
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
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).
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.
Sandia Energy - Solar Market Transformation
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Solar Market Transformation Home Stationary Power Energy Conversion Efficiency Solar Energy Photovoltaics Solar Market Transformation Solar Market TransformationTara...
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
Harmonics in the dark-matter sky: directional detection in the Fourier-Bessel basis
Lee, Samuel K., E-mail: samuelkl@princeton.edu [Princeton Center for Theoretical Science, Princeton University, Jadwin Hall, Washington Road, Princeton, NJ, 08544 (United States)
2014-03-01T23:59:59.000Z
Details about the velocity distribution of weakly interacting massive particle (WIMP) dark matter in our galaxy may be revealed by nuclear-recoil detectors with directional sensitivity. Previous studies have assumed that the velocity distribution takes a simple functional form characterized by a small number of parameters. More recent work has shown that basis-function expansions may allow for more general parameterization; such an approach has been considered for both the one-dimensional speed and momentum distributions, and also for three-dimensional velocity distributions obeying certain equilibrium conditions. In this work, I extend this basis-function approach to allow for arbitrary velocity distributions by working in the Fourier-Bessel basis, deriving an analytic expression for the directional recoil spectrum. Such an approach is completely general, and may be useful if the velocity distribution is too complex to be characterized by simple functional forms or is not completely virialized. Results concerning the three-dimensional Radon transform of the Fourier-Bessel basis functions may be of general interest for tomographic applications.
Measuring line-of-sight dependent Fourier-space clustering using FFTs
Bianchi, Davide; Ruggeri, Rossana; Percival, Will J
2015-01-01T23:59:59.000Z
Observed galaxy clustering exhibits local transverse statistical isotropy around the line-of-sight (LOS). The variation of the LOS across a galaxy survey complicates the measurement of the observed clustering as a function of the angle to the LOS, as Fast Fourier Transforms (FFTs) based on cartesian grids, cannot individually allow for this. Recent advances in methodology for calculating LOS-dependent clustering in Fourier space include the realisation that power spectrum LOS-dependent moments can be constructed from sums over galaxies, based on approximating the LOS to each pair of galaxies by the LOS to one of them. We show that we can implement this method using multiple FFTs, each measuring the LOS-weighted clustering along different axes. The N log(N) nature of FFTs means that the computational speed-up is a factor of >1000 compared with summing over galaxies. This development should be beneficial for future projects such as DESI and Euclid which will provide an order of magnitude more galaxies than curr...
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
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
Application of the Laplace transformation to the solution of the wave equation
Booton, Richard Crittenden
1948-01-01T23:59:59.000Z
be denoted by f(s). Whenever a different letter is used for the transform, the symbol used is defined where it is introduced. Most of the theorems and equations are numbered, the numbe'rs being assigned consecutively. The first part of the number...-transformation" by Gustav Doetsch (l) and "Theory of Four1er Integrals" by E. C. Titchmarsh (l). The latter contains a thorough d1s- cuss1on of the Fourier transformation& with which the Laplace transformation 1s 1ntimately connected. This f1rst part introduces those...
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.
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.
Catarino, Ana; Andrade, Alexandre; Churches, Owen; Wagner, Adam P; Baron-Cohen, Simon; Ring, Howard
2013-01-12T23:59:59.000Z
sep-connectivity in people with ASC, in the context of visual or face processing tasks [40,41,45].Wavelet transform coherence (WTC) Let x and y be two stationary signals. Let Sxx and Syy denote the autospectral densities (that is, the Fourier transform... and Biomedical Engineering, Faculty of Sciences,task-related interhemispheric EEG coherence in people wand Howard Ring1,6 Abstract Background: Autism Spectrum Conditions (ASC) are a set of pervasive neurodevelopmental conditions characterized by a wide range...
On the ill-posed character of the Lorentz integral transform
W. Gloeckle; M. Schwamb
2009-02-06T23:59:59.000Z
An exact inversion formula for the Lorentz integral transform (LIT) is provided together with the spectrum of the LIT kernel. The exponential increase of the inverse Fourier transform of the LIT kernel entering the inversion formula explains the ill-posed character of the LIT approach. Also the continuous spectrum of the LIT kernel, which approaches zero points necessarily to the same defect. A possible cure is discussed and numerically illustrated.
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.
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.
A mechanical model for Fourier's law of heat conduction
David Ruelle
2011-02-27T23:59:59.000Z
Nonequilibrium statistical mechanics close to equilibrium is a physically satisfactory theory centered on the linear response formula of Green-Kubo. This formula results from a formal first order perturbation calculation without rigorous justification. A rigorous derivation of Fourier's law for heat conduction from the laws of mechanics remains thus a major unsolved problem. In this note we present a deterministic mechanical model of a heat-conducting chain with nontrivial interactions, where kinetic energy fluctuations at the nodes of the chain are removed. In this model the derivation of Fourier's law can proceed rigorously.
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
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, ...
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
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.
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...
Long-term Black Carbon Dynamics in Cultivated Soil. | EMSL
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BC were investigated in cultivated soil using X-ray Photoelectron Spectroscopy (XPS), Fourier-Transform Infrared (FTIR) and Nuclear Magnetic Resonance (NMR) techniques. BC...
Effect of Sodium on the Catalytic Properties of VOx/CeO2 Catalysts...
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reduction (H2-TPR), Raman spectroscopy, and Diffuse Reflectance Infrared Fourier Transform spectroscopy (DRIFT). The experimental results indicate that the effect of...
The effect of H2O on the adsorption of NO2 on ?-Al2O3:...
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adsorption of NO2 onto a ?-Al2O3 catalyst support surface was investigated using Fourier transform infrared spectroscopy (FTIR) and mass spectrometry (MS). Upon room...
Methanol Partial Oxidation on MoO3/SiO2 Catalysts: Application...
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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...
The interaction of NO2 with BaO: from cooperative adsorption...
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on the morphology of BaOAl2O3-based NOx storage materials was investigated using Fourier transform infrared spectroscopy, temperature programmed desorption, and time-resolved...
A New Mechanism for Ozonolysis of Unsaturated Organics on Solids...
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(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...
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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...
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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...
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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...
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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...
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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...
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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...
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by Escherichia coli and Serratia marcescens were characterized in detail using Fourier transform infrared spectroscopy (FTIR), X-ray photoelectron spectroscopy (XPS), and...
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
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.
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
Menke, William
of the Fourier basis along the linear rays. The inversion (rayinvert.m) uses damped least squares (epsilon=10
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.
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
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 information optics for the ultrafast time domain Andrew M. Weiner
Purdue University
Fourier information optics for the ultrafast time domain Andrew M. Weiner School of Electrical); published 26 November 2007 Ultrafast photonic signal processing based on Fourier optics principles offers of ultrafast optical signals via conversion between time, space, and optical frequency (Fourier) domains
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
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.
ACCOUNTING ROADMAP TRANSFORMING LIVES
ACCOUNTING ROADMAP TO SUCCESS THE TRANSFORMING LIVES COLLEGE OF BUSINESS Department of Accounting #12;TABLEOFCONTENTS Greetings from Accounting Department Chair ..............................2 What is Accounting? .......................................................................4 Successful Study
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.
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.
Biochemical transformation of coals
Lin, Mow S. (Rocky Point, NY); Premuzic, Eugene T. (East Moriches, NY)
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.
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.
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
Vasiliou, AnGayle K. [Department of Chemistry and Biochemistry, University of Colorado, Boulder, Colorado 80309-0215 (United States); National Renewable Energy Laboratory, 1617 Cole Blvd., Golden, Colorado 80401 (United States); Piech, Krzysztof M.; Reed, Beth; Ellison, G. Barney [Department of Chemistry and Biochemistry, University of Colorado, Boulder, Colorado 80309-0215 (United States); Zhang Xu [Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California 91109-8099 (United States); Nimlos, Mark R. [National Renewable Energy Laboratory, 1617 Cole Blvd., Golden, Colorado 80401 (United States); Ahmed, Musahid; Golan, Amir; Kostko, Oleg [Chemical Sciences Division, LBNL MS 6R-2100, Berkeley, California 94720 (United States); Osborn, David L. [Combustion Research Facility, Sandia National Laboratories, P.O. Box 969 MS 9055, Livermore, California 94551-0969 (United States); David, Donald E. [Integrated Instrument Design Facility, CIRES, University of Colorado, Boulder, Colorado 80309-0216 (United States); Urness, Kimberly N.; Daily, John W. [Center for Combustion and Environmental Research, Department of Mechanical Engineering, University of Colorado at Boulder, Boulder, Colorado 80309-0427 (United States); Stanton, John F. [Institute for Theoretical Chemistry, Department of Chemistry, University of Texas, Austin, Texas 78712 (United States)
2012-10-28T23:59:59.000Z
A heated SiC microtubular reactor has been used to decompose acetaldehyde and its isotopomers (CH{sub 3}CDO, CD{sub 3}CHO, and CD{sub 3}CDO). The pyrolysis experiments are carried out by passing a dilute mixture of acetaldehyde (roughly 0.1%-1%) entrained in a stream of a buffer gas (either He or Ar) through a heated SiC reactor that is 2-3 cm long and 1 mm in diameter. Typical pressures in the reactor are 50-200 Torr with the SiC tube wall temperature in the range 1200-1900 K. Characteristic residence times in the reactor are 50-200 {mu}s after which the gas mixture emerges as a skimmed molecular beam at a pressure of approximately 10 {mu}Torr. The reactor has been modified so that both pulsed and continuous modes can be studied, and results from both flow regimes are presented. Using various detection methods (Fourier transform infrared spectroscopy and both fixed wavelength and tunable synchrotron radiation photoionization mass spectrometry), a number of products formed at early pyrolysis times (roughly 100-200 {mu}s) are identified: H, H{sub 2}, CH{sub 3}, CO, CH{sub 2}=CHOH, HC{identical_to}CH, H{sub 2}O, and CH{sub 2}=C=O; trace quantities of other species are also observed in some of the experiments. Pyrolysis of rare isotopomers of acetaldehyde produces characteristic isotopic signatures in the reaction products, which offers insight into reaction mechanisms that occur in the reactor. In particular, while the principal unimolecular processes appear to be radical decomposition CH{sub 3}CHO (+M) {yields} CH{sub 3}+ H + CO and isomerization of acetaldehyde to vinyl alcohol, it appears that the CH{sub 2}CO and HCCH are formed (perhaps exclusively) by bimolecular reactions, especially those involving hydrogen atom attacks.
Transformer Abdullah Al-Otaibi
Masoudi, Husain M.
Transformer Abdullah Al-Otaibi ID#242374 Section#2 Abstract- this is a brief description for transformer and how it works. I. DEFINITION A transformer is a device that transfers electrical energy from of the transformer in 1831. The transformer is used by Faraday only to demonstrate the principle of electromagnetic
Transformation Algebra R. J. Renka
Renka, Robert
Transformation Algebra R. J. Renka Department of Computer Science & Engineering University of North Texas 03/21/2011 R. J. Renka Transformation Algebra #12;Linear Transformations A point with Cartesian transformations. A linear transformation L on R3 is represented by a 3 by 3 matrix A. In fact, there is a 1
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.
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.
Trigonometric Pade approximants for functions with regularly decreasing Fourier coefficients
Labych, Yuliya A; Starovoitov, Alexander P [Gomel State University, Gomel (Belarus)
2009-08-31T23:59:59.000Z
Sufficient conditions describing the regular decrease of the coefficients of a Fourier series f(x)=a{sub 0}/2 + {sigma} a{sub n} cos kx are found which ensure that the trigonometric Pade approximants {pi}{sup t}{sub n,m}(x;f) converge to the function f in the uniform norm at a rate which coincides asymptotically with the highest possible one. The results obtained are applied to problems dealing with finding sharp constants for rational approximations. Bibliography: 31 titles.
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.
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.
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
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 ...
Applying Improved Efficiency Transformers
Haggerty, N. K.; Malone, T. P.
1998-01-01T23:59:59.000Z
Today's business and energy conscious environment affords both producers and consumers of electric energy an opportunity to reduce costs and conserve energy through the use of improved efficiency transformers. Various design techniques...
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.
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
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
Bowyer, Kevin W.
2 be the two images that differ only by a displacement (tx, ty) i.e., f2(x, y) = f1(x - tx, y - ty) (1) Their corresponding Fourier transforms F1 and F2 will be related by F2(, ) = e-j2(tx+ty) F1(, ) (2) The cross-power spectrum of two images f1 and f2 is de- fined as F1(, )F 2 (, ) |F1(, )F2
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
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,
Mead, Jodi L.
MATH 333 Laplace Transform Lab 9 May 7, 2008 In this lab we will compute the Laplace transform symbolically and the inverse Laplace transform both symbolically and numerically. Symbolic representation The command syms assigns a variable to be symbolic, laplace(f) finds the Laplace transform of a function f
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.
Probabilistically Accurate Program Transformations
Rinard, Martin
of loop perforation (which transforms loops to execute fewer iterations) to a set of computational the probabilistic guarantees for those bounds. 1.1 Loop Perforation In this paper, we focus on loop perforation demonstrate the util- ity and effectiveness of loop perforation in reducing the amount of time (and/or other
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
ACCOUNTING ROADMAP TRANSFORMING LIVES
Collett Jr., Jeffrey L.
ACCOUNTING ROADMAP TO SUCCESS THE TRANSFORMING LIVES COLLEGE OF BUSINESS Department of Accounting #12;TABLEOFCONTENTS Greetings from Accounting Department Chair 2 What is Accounting? 4 Successful Accounting Career Paths 8 Careers in Managerial Accounting 9 Careers in Government/Not-for-Profit (GNP
TO TRANSFORM BIOMEDICAL ENGINEERING
Bermúdez, José Luis
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
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
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 ...
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
Jas, Gouri S.; Wan, Chaozhi; Johnson, Carey K.
1995-05-01T23:59:59.000Z
(1983). 8. T. Hirschfeld and B. Chase, Appl. Spectrosc. 40, 133 (1986). 9. V. M. Hallmark, C. G. Zimba, J. D. Swalen, and J. F. Rabolt, Spectroscopy 2, 39 (1990). 10. S. Nie, K. L. Bergbauer, J. J. Ho, J. F. R. Kuck, Jr., and N. T. Yu, Spectroscopy...
]. Ion confinement in three dimensions is achieved radially by the magnetic field Lorentz force-to-charge ratio of ions by the characteristic cyclotron frequency exhibited in a homogeneous magnetic field [1 and axially by imposition of an electrostatic field parallel to the magnetic field axis (by convention
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.
Santhanam, Balu
REDUCTION OF VIBRATION-INDUCED ARTIFACTS IN SYNTHETIC-APERTURE-RADAR IMAGERY USING THE FRACTIONAL of objects exhibit- ing low-level vibrations are accompanied by localized arti- facts, or ghost targets to the non-stationary nature of the returned signals from vibrating objects. Re- cently, a method based
Ramirez, Donald E.
abelian (LCA) group. The group H with the discrete topology is denoted Hd. This is the same as giving H let H be an LCA group with topology tH, and G a subgroup of H which has an LCA group topology 'G monomorphism of an LCA group. We let HG denote H with the topology induced by declaring the su
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
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
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
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
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.
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 ...
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
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.
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...
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 on Delicious Rank EERE:Department ofFormerCommittee: Notice ofJoshuaviiof|March 2015Higgins About Transformation Market
Transformative Wave Technologies Kent, Washington
California at Davis, University of
Transformative Wave Technologies Kent, Washington www.transformativewave.com #12;#12;North America are shifted to off peak times #12;#12;Transformative Wave Technologies www.transformativewave.com #12
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.
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
LORENTZ TRANSFORMATIONS AND STATISTICAL MECHANICS
of Lorentz transformations corresponding to radiation made its ap pearance. We have yet to see a description of these ``radiation'' transformations in the Physics literature. The complexification of the Lorentz Transformations Mathematics Subject Classification. 57R45, 17B90, 15A63. Key words and phrases. exponential map, singularity
LORENTZ TRANSFORMATIONS AND STATISTICAL MECHANICS
transformations corresponding to radiation made its ap- pearance. We have yet to see a description of these "radiation" transformations in the Physics literature. The complexification of the Lorentz Transformations Mathematics Subject Classification. 57R45, 17B90, 15A63. Key words and phrases. exponential map, singularity
Near-infrared and Mid-infrared Spectroscopy with the Infrared Camera (IRC) for AKARI
Youichi Ohyama; Takashi Onaka; Hideo Matsuhara; Takehiko Wada; Woojung Kim; Naofumi Fujishiro; Kazunori Uemizu; Itsuki Sakon; Martin Cohen; Miho Ishigaki; Daisuke Ishihara; Yoshifusa Ita; Hirokazu Kataza; Toshio Matsumoto; Hiroshi Murakami; Shinki Oyabu; Toshihiko Tanabe; Toshinobu Takagi; Munetaka Ueno; Fumio Usui; Hidenori Watarai; Chris P. Pearson; Norihide Takeyama; Tomoyasu Yamamuro; Yuji Ikeda
2007-08-31T23:59:59.000Z
The Infrared Camera (IRC) is one of the two instruments on board the AKARI satellite. In addition to deep imaging from 1.8-26.5um for the pointed observation mode of the AKARI, it has a spectroscopic capability in its spectral range. By replacing the imaging filters by transmission-type dispersers on the filter wheels, it provides low-resolution (lambda/d_lambda ~ 20-120) spectroscopy with slits or in a wide imaging field-of-view (approximately 10'X10'). The IRC spectroscopic mode is unique in space infrared missions in that it has the capability to perform sensitive wide-field spectroscopic surveys in the near- and mid-infrared wavelength ranges. This paper describes specifications of the IRC spectrograph and its in-orbit performance.
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
Infrared Dry-peeling Technology for Tomatoes
This research will use infrared heating technology for peeling tomatoes. Infrared dry peeling, a device District: 8 Senate District: 5 Application: Nationwide Amount: $324,250 Term: November 1, 2010
Industrial Use of Infrared Inspections
Duch, A. A.
1979-01-01T23:59:59.000Z
, but in the final analysis it comes down to the fact that the industrial management responsible for the operations and production budgets did not, and in many cases, still does not understand the economic benefits to the company that infrared industrial inspections...
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)
Infrared Upconversion for Astronomy Robert W. Boyd
Boyd, Robert W.
which collects the infrared radiation is designed so as to map each point in the field of view. Infrared radiation of frequency Figure 1. Schematic description of the upconversion process. Infrared radiation of frequency vIR is mixed with an intense laser beam of fre- quency vL in a nonlinear crystal
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.
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.
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.
Minisuperspace models as infrared contributions
Bojowald, Martin
2015-01-01T23:59:59.000Z
A direct correspondence of quantum mechanics as a minisuperspace model for a self-interacting scalar quantum-field theory is established by computing, in several models, the infrared contributions to 1-loop effective potentials of Coleman--Weinberg type. A minisuperspace approximation rather than truncation is thereby obtained. By this approximation, the spatial averaging scale of minisuperspace models is identified with an infrared scale (but not a regulator or cut-off) delimiting the modes included in the minisuperspace model. Some versions of the models studied here have discrete space or modifications of the Hamiltonian expected from proposals of loop quantum gravity. They shed light on the question of how minisuperspace models of quantum cosmology can capture features of full quantum gravity. While it is shown that modifications of the Hamiltonian can well be described by minisuperspace truncations, some related phenomena such as signature change, confirmed and clarified here for modified scalar field th...
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.
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.
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
LORENTZ TRANSFORMATIONS AND STATISTICAL MECHANICS
class of Lorentz transformations corresponding to radiation made its * *ap- pearance. We have yet to see a description of these "radiation" transformations* * in the Physics literature, 15A63. Key words and phrases. exponential map, singularity, electro-magnetism, ener* *gy
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.
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.
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.
John T. Conway; Howard S. Cohl
2009-10-07T23:59:59.000Z
A new method is presented for Fourier decomposition of the Helmholtz Green Function in cylindrical coordinates, which is equivalent to obtaining the solution of the Helmholtz equation for a general ring source. The Fourier coefficients of the Helmholtz Green function are split into their half advanced+half retarded and half advanced-half retarded components. Closed form solutions are given for these components in terms of a Horn function and a Kampe de Feriet function, respectively. The systems of partial differential equations associated with these two-dimensional hypergeometric functions are used to construct a fourth-order ordinary differential equation which both components satisfy. A second fourth-order ordinary differential equation for the general Fourier coefficent is derived from an integral representation of the coefficient, and both differential equations are shown to be equivalent. Series solutions for the various Fourier coefficients are also given, mostly in terms of Legendre functions and Bessel/Hankel functions. These are derived from the closed form hypergeometric solutions or an integral representation, or both. Numerical calculations comparing different methods of calculating the Fourier coefficients are presented.
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 Basics | Open Energy Information
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on DeliciousPlasmaP aCentrothermDepew,Independent Energy Solutions Jump to:Indiana)|Infinity Fuel Cell andInfoSpiInfrared
Infrared Debonding - Energy Innovation Portal
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article)41clothThe Bonneville PowerTariff Pages default Sign In About |ASSEMBLY [ICO]Information ResourcesAdvisors|InfraredIndustrial
Infrared Observations of Galaxy Clusters
David Elbaz
1997-11-28T23:59:59.000Z
This short paper reviews some of the results obtained from ISO observations (ISOCAM and ISOPHOT) on galaxy clusters: Chap.1: "Intracluster dust": new evidence for the presence of dust outside galaxies. Chap.2:"Mid-Infrared Emission of Galaxies" origin of the mid-IR emission. Chap.3:"Star Formation in Nearby Clusters" correlation of the 7 and 15 microns fluxes with the SFR. Chap.4:"Star Formation in z=0.2 Galaxy clusters" Study of the mid-IR emission of A1732 and A1689. Chap.5:"Star Formation in z>0.4 Galaxy clusters" Preliminary.
Formal Transformations and WSL Martin Ward
Singer, Jeremy
Formal Transformations and WSL Part Two Martin Ward STRL Senior Research Fellow Royal Society of Transformations #12;Types of Transformations A Syntactic Transformation changes the syntax of the program but preserves the exact sequence of operations carried out by the program. Many restructuring transformations
Transformer Efficiency Assessment - Okinawa, Japan
Thomas L. Baldwin; Robert J. Turk; Kurt S. Myers; Jake P. Gentle; Jason W. Bush
2012-08-01T23:59:59.000Z
The US Army Engineering & Support Center, Huntsville (USAESCH), and the US Marine Corps Base (MCB), Okinawa, Japan retained Idaho National Laboratory (INL) to conduct a Transformer Efficiency Assessment of “key” transformers located at multiple military bases in Okinawa, Japan. The purpose of this assessment is to support the Marine Corps Base, Okinawa in evaluating medium voltage distribution transformers for potential efficiency upgrades. The original scope of work included the MCB providing actual transformer nameplate data, manufacturer’s factory test sheets, electrical system data (kWh), demand data (kWd), power factor data, and electricity cost data. Unfortunately, the MCB’s actual data is not available and therefore making it necessary to de-scope the original assessment. Note: Any similar nameplate data, photos of similar transformer nameplates, and basic electrical details from one-line drawings (provided by MCB) are not a replacement for actual load loss test data. It is recommended that load measurements are performed on the high and low sides of transformers to better quantify actual load losses, demand data, and power factor data. We also recommend that actual data, when available, be inserted by MCB Okinawa where assumptions have been made and then the LCC analysis updated. This report covers a generalized assessment of modern U.S. transformers in a three level efficiency category, Low-Level efficiency, Medium-Level efficiency, and High-Level efficiency.
Transformer Efficiency Assessment - Okinawa, Japan
Thomas L. Baldwin; Robert J. Turk; Kurt S. Myers; Jake P. Gentle; Jason W. Bush
2012-05-01T23:59:59.000Z
The US Army Engineering & Support Center, Huntsville (USAESCH), and the US Marine Corps Base (MCB), Okinawa, Japan retained Idaho National Laboratory (INL) to conduct a Transformer Efficiency Assessment of “key” transformers located at multiple military bases in Okinawa, Japan. The purpose of this assessment is to support the Marine Corps Base, Okinawa in evaluating medium voltage distribution transformers for potential efficiency upgrades. The original scope of work included the MCB providing actual transformer nameplate data, manufacturer’s factory test sheets, electrical system data (kWh), demand data (kWd), power factor data, and electricity cost data. Unfortunately, the MCB’s actual data is not available and therefore making it necessary to de-scope the original assessment. Note: Any similar nameplate data, photos of similar transformer nameplates, and basic electrical details from one-line drawings (provided by MCB) are not a replacement for actual load loss test data. It is recommended that load measurements are performed on the high and low sides of transformers to better quantify actual load losses, demand data, and power factor data. We also recommend that actual data, when available, be inserted by MCB Okinawa where assumptions have been made and then the LCC analysis updated. This report covers a generalized assessment of modern U.S. transformers in a three level efficiency category, Low-Level efficiency, Medium-Level efficiency, and High-Level efficiency.
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.
Joe Sato; Masafumi Koike; Toshihiko Ota; Masako Saito
2008-10-17T23:59:59.000Z
We study the parametric resonance of the neutrino oscillation through the matter whose density varies spatially. The Fourier analysis of the matter effect enables us to clarify the parametric resonance condition, which is summarized in a frequency matching between the neutrino oscillation and the spatial variation of the matter density. As a result, the n-th Fourier mode of a matter density profile modifies the energy spectrum of the nu_mu -> nu_e appearance probability at around the n-th dip.
TRANSFORMING ACADEMIA Historical Developments, Contemporary Perspectives and
Li, Mo
ISyE 8803A TRANSFORMING ACADEMIA Historical Developments, Contemporary Perspectives independence and this organizational structure represent the first major transformation of academia. These characteristics of academia have persisted for over 900 years and seem immutable. Yet, notable transformations
Transforms for the Motion Compensation Residual
Kamisli, Fatih
The Discrete-Cosine-Transform (DCT) is the most widely used transform in image and video compression. Its use in image compression is often justified by the notion that it is the statistically optimal transform for first-order ...
HIGH-TECH BUILDINGS MARKET TRANSFORMATION PROJECT
LBNL-49112 HT-457 HIGH-TECH BUILDINGS MARKET TRANSFORMATION PROJECT Cleanroom Energy Benchmarking High-Performance Fume Hood Demonstration/Test Market Transformation Activities FINAL REPORT ........................................................................................3 Market Transformation Activities
Transformations of Conditional Rewrite Systems (Extended Abstract)
Gramlich, Bernhard
Transformations of Conditional Rewrite Systems Revisited (Extended Abstract) Karl Gmeiner and Bernhard Gramlich TU Wien, Austria, {gmeiner,gramlich}@logic.at We revisit known transformations for describing and classifying such transformations, discuss the major problems arising, pro- vide simplified
National Symposium on Market Transformation
Broader source: Energy.gov [DOE]
Hosted by the American Council for an Energy-Efficient Economy (ACEEE) and the Consortium for Energy Efficiency (CEE), this three-day conference features speakers covering topics within the scope of market transformation.
Reservoir characterization using wavelet transforms
Rivera Vega, Nestor
2004-09-30T23:59:59.000Z
Automated detection of geological boundaries and determination of cyclic events controlling deposition can facilitate stratigraphic analysis and reservoir characterization. This study applies the wavelet transformation, a recent advance in signal...
Chinese Passives: Transformational or Lexical?
Zhang, Jiuwu; Wen, Xiaohong
1989-01-01T23:59:59.000Z
There are two types of passive constructions in Chinese. Type I is a syntactic passive since it is derived through a transformational rule. Type II is a lexical passive. It has certain properties in common with the predicate ...
Presidential address Geomycology: biogeochemical transformations
Ahmad, Sajjad
Corresponding Editor: David L. Hawksworth Keywords: Carbonates Clay minerals Environmental biotechnology Lichens of the fungal transformations discussed have beneficial applications in environmental biotechnology, e and radionuclides by fungi, bioweathering and bioremediation Geoffrey M. GADD* Division of Environmental and Applied
RESEARCH ARTICLE Infrared thermography investigations in transitional
Zuccher, Simone
RESEARCH ARTICLE Infrared thermography investigations in transitional supersonic boundary layers in supersonic flows is conducted employing infrared ther- mography (IRT). Several models of swept wings in supersonic flight The general goal of improving aircraft performance in supersonic flight is strictly related
Infrared Fiber Optics James A. Harrington
1 Infrared Fiber Optics James A. Harrington Ceramic & Materials Engineering Rutgers University Piscataway, NJ 08854-8065 1. Introduction Infrared (IR) optical fibers may be defined as fiber optics IR fiber optics may logically be divided into three broad categories: glass, crystalline, and hollow
Physical transformations between quantum states
Zejun Huang; Chi-Kwong Li; Edward Poon; Nung-Sing Sze
2012-10-26T23:59:59.000Z
Given two sets of quantum states {A_1, ..., A_k} and {B_1, ..., B_k}, represented as sets of density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T, represented as a trace-preserving completely positive map, such that T(A_i) = B_i for i = 1, ..., k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered.
Coupled diffusional/displacive transformations
Mujahid, Shafiq Ahmad
), TRIP steels (transformation in- duced plasticity), ausforming steels (plastically deformed austenite prior to quenching) and dual phase steels (a mixture of ferrite + martensite obtained by quenching from the 1+ Q' field). a c b d Figure 1... Supersaturated Ferrite Plates 137 v Abstract The displacive transformation of austenite to ferrite in steels containing both substitutional and interstitial elements has been studied. The aim was to establish the conditions under which plates of the product phase...
The Use of Infrared Technology To Detect Heat Loss
Faulkner, K.
1979-01-01T23:59:59.000Z
Infrared refers to electro magnetic energy with a wave length longer than those of visible light. Researchers developed methods to quantify, focus and form real-time images to infrared energy. This spawned the development of infrared Thenrography...
Small Market Advanced Retrofit Transformation Program (SMART...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Transformation Program (SMART Scale) - 2014 BTO Peer Review Presenter: Colin Clark, Ecology Action of Santa Cruz Ecology Action's Small Market Advanced Retrofit Transformation...
Ecology Action: Small Market Advanced Retrofit Transformation...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Ecology Action: Small Market Advanced Retrofit Transformation Program - 2015 Peer Review Ecology Action: Small Market Advanced Retrofit Transformation Program - 2015 Peer Review...
Market Transformation: Fuel Cell Early Adoption (Presentation...
Office of Environmental Management (EM)
Transformation: Fuel Cell Early Adoption (Presentation) Market Transformation: Fuel Cell Early Adoption (Presentation) Presented at the DOE Fuel Cell Pre-Solicitation Workshop held...
Energy Department Finalizes Loan Guarantee for Transformational...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
for Transformational Rooftop Solar Project Energy Department Finalizes Loan Guarantee for Transformational Rooftop Solar Project September 30, 2011 - 3:37pm Addthis Washington D.C....
Environmental Report Project Transforms Students into Informed...
Environmental Report Project Transforms Students into Informed Stakeholders Environmental Report Project Transforms Students into Informed Stakeholders June 20, 2014 - 9:49am...
Structure and Transformation of Amorphous Calcium Carbonate:...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Transformation of Amorphous Calcium Carbonate: A Solid-State 43Ca NMR and Computational Molecular Dynamics Structure and Transformation of Amorphous Calcium Carbonate: A...
National Electric Delivery Technologies Roadmap: Transforming...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Delivery Technologies Roadmap: Transforming the Grid to Revolutionize Electric Power in North America National Electric Delivery Technologies Roadmap: Transforming the Grid to...
Infrared spectroscopy of ionic clusters
Price, J.M. (California Univ., Berkeley, CA (USA). Dept. of Chemistry Lawrence Berkeley Lab., CA (USA))
1990-11-01T23:59:59.000Z
This thesis describes new experiments wherein the infrared vibrational predissociation spectra of a number of mass-selected ionic cluster systems have been obtained and analyzed in the 2600 to 4000 cm{sup {minus}1} region. The species studied include: the hydrated hydronium ions, H{sub 3}O{sup +} (H{sub 2}O){sub 3 {minus}10}, ammoniated ammonium ions, NH{sub 4}{sup +}(NH{sub 3}){sub 1 {minus}10} and cluster ions involving both water and ammonia around an ammonium ion core, (mixed clusters) NH{sub 4}{sup +}(NH{sub 3}){sub n}(H{sub 2}O){sub m} (n+m=4). In each case, the spectra reveal well resolved structures that can be assigned to transitions arising from the vibrational motions of both the ion core of the clusters and the surrounding neutral solvent molecules. 154 refs., 19 figs., 8 tabs.
FY 2005 Infrared Photonics Final Report
Anheier, Norman C.; Allen, Paul J.; Ho, Nicolas; Krishnaswami, Kannan; Johnson, Bradley R.; Sundaram, S. K.; Riley, Bradley M.; Martinez, James E.; Qiao, Hong (Amy); Schultz, John F.
2005-12-01T23:59:59.000Z
Research done by the Infrared Photonics team at Pacific Northwest National Laboratory (PNNL) is focused on developing miniaturized integrated optics for mid-wave infrared (MWIR) and long-wave infrared (LWIR) sensing applications by exploiting the unique optical and material properties of chalcogenide glass. PNNL has developed thin-film deposition capabilities, direct laser writing techniques, infrared photonic device demonstration, holographic optical element design and fabrication, photonic device modeling, and advanced optical metrology—all specific to chalcogenide glass. Chalcogenide infrared photonics provides a pathway to quantum cascade laser (QCL) transmitter miniaturization. QCLs provide a viable infrared laser source for a new class of laser transmitters capable of meeting the performance requirements for a variety of national security sensing applications. The high output power, small size, and superb stability and modulation characteristics of QCLs make them amenable for integration as transmitters into ultra-sensitive, ultra-selective point sampling and remote short-range chemical sensors that are particularly useful for nuclear nonproliferation missions. During FY 2005, PNNL’s Infrared Photonics research team made measurable progress exploiting the extraordinary optical and material properties of chalcogenide glass to develop miniaturized integrated optics for mid-wave infrared (MWIR) and long-wave infrared (LWIR) sensing applications. We investigated sulfur purification methods that will eventually lead to routine production of optical quality chalcogenide glass. We also discovered a glass degradation phenomenon and our investigation uncovered the underlying surface chemistry mechanism and developed mitigation actions. Key research was performed to understand and control the photomodification properties. This research was then used to demonstrate several essential infrared photonic devices, including LWIR single-mode waveguide devices and waveguide couplers. Optical metrology tools were also developed to characterize optical waveguide structures and LWIR optical components.
Yang, Zhiguo; Rong, Zhijian; Wang, Bo; Zhang, Baile
2015-01-01T23:59:59.000Z
In this paper, we present an efficient spectral-element method (SEM) for solving general two-dimensional Helmholtz equations in anisotropic media, with particular applications in accurate simulation of polygonal invisibility cloaks, concentrators and circular rotators arisen from the field of transformation electromagnetics (TE). In practice, we adopt a transparent boundary condition (TBC) characterized by the Dirichlet-to-Neumann (DtN) map to reduce wave propagation in an unbounded domain to a bounded domain. We then introduce a semi-analytic technique to integrate the global TBC with local curvilinear elements seamlessly, which is accomplished by using a novel elemental mapping and analytic formulas for evaluating global Fourier coefficients on spectral-element grids exactly. From the perspective of TE, an invisibility cloak is devised by a singular coordinate transformation of Maxwell's equations that leads to anisotropic materials coating the cloaked region to render any object inside invisible to observe...
On quantization in light-cone variables compatible with wavelet transform
Altaisky, M V
2015-01-01T23:59:59.000Z
Canonical quantization of quantum field theory models is inherently related to the Lorentz invariant partition of classical fields into the positive and the negative frequency parts $u(x) = u^+(x) + u^-(x),$ performed with the help of Fourier transform in Minkowski space. That is the commutation relations are being established between non localized solutions of field equations. At the same time the construction of divergence free physical theory requires the separation of the contributions of different space-time scales. In present paper, using the light-cone variables, we propose a quantization procedure which is compatible with separation of scales using continuous wavelet transform, as described in our previous paper Phys.Rev D 88(2013)025015
Real Clifford Algebra Cl{sub n,0}, n = 2, 3(mod 4) Wavelet Transform
Hitzer, Eckhard [Department of Applied Physics, University of Fukui, 910-8507 (Japan)
2009-09-09T23:59:59.000Z
We show how for n = 2, 3(mod 4) continuous Clifford (geometric) algebra (GA)Cl{sub n}-valued admissible wavelets can be constructed using the similitude group SIM(n). We strictly aim for real geometric interpretation, and replace the imaginary unit i is an element of C therefore with a GA blade squaring to -1. Consequences due to non-commutativity arise. We express the admissibility condition in terms of a Cl{sub n} Clifford Fourier Transform and then derive a set of important properties such as dilation, translation and rotation covariance, a reproducing kernel, and show how to invert the Clifford wavelet transform. As an example, we introduce Clifford Gabor wavelets. We further invent a generalized Clifford wavelet uncertainty principle.
Transforming a 4th year Modern Optics Course Using a Deliberate Practice Framework
Jones, David J; Wieman, Carl E
2015-01-01T23:59:59.000Z
We present a study of active learning pedagogies in an upper division physics course. This work was guided by the principle of deliberate practice for the development of expertise, and this principle was used in the design of the materials and the orchestration of the classroom activities of the students. We present our process for efficiently converting a traditional lecture course based on instructor notes into activities for such a course with active learning methods. Ninety percent of the same material was covered and scores on common exam problems showed a 15 % improvement with an effect size greater than 1 after the transformation. We observe that the improvement and the associated effect size is sustained after handing off the materials to a second instructor. Because the improvement on exam questions was independent of specific problem topics and because the material tested was so mathematically advanced and broad (including linear algebra, Fourier Transforms, partial differential equations, vector ca...