Fourier Transform Infrared (FTIR) Spectroscopy
Gerwert, Klaus
Fourier Transform Infrared (FTIR) Spectroscopy Klaus Gerwert, Lehrstuhl fu¨r Biophysik, Ruhr, Germany Based in part on the previous version of this Encyclopedia of Life Sciences (ELS) article, Fourier Transform IR by Johannes Orphal. Fourier transform infrared (FTIR) spectroscopy is an experimental technique
The rapid differentiation of Streptomyces isolates using Fourier transform infrared spectroscopy
Griffith, Gareth
putative Streptomyces spp. isolated from soil were selected to be analysed using Fourier transform infrared-organism fingerprint- ing techniques such as Curie-point pyrolysis mass spectrometry [2], Fourier transform infrared
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
Long, C.L.
1991-02-01
Multivariate calibration techniques can reduce the time required for routine testing and can provide new methods of analysis. Multivariate calibration is commonly used with near infrared reflectance analysis (NIRA) and Fourier transform infrared (FTIR) spectroscopy. Two feasibility studies were performed to determine the capability of NIRA, using multivariate calibration techniques, to perform analyses on the types of samples that are routinely analyzed at this laboratory. The first study performed included a variety of samples and indicated that NIRA would be well-suited to perform analyses on selected materials properties such as water content and hydroxyl number on polyol samples, epoxy content on epoxy resins, water content of desiccants, and the amine values of various amine cure agents. A second study was performed to assess the capability of NIRA to perform quantitative analysis of hydroxyl numbers and water contents of hydroxyl-containing materials. Hydroxyl number and water content were selected for determination because these tests are frequently run on polyol materials and the hydroxyl number determination is time consuming. This study pointed out the necessity of obtaining calibration standards identical to the samples being analyzed for each type of polyol or other material being analyzed. Multivariate calibration techniques are frequently used with FTIR data to determine the composition of a large variety of complex mixtures. A literature search indicated many applications of multivariate calibration to FTIR data. Areas identified where quantitation by FTIR would provide a new capability are quantitation of components in epoxy and silicone resins, polychlorinated biphenyls (PCBs) in oils, and additives to polymers. 19 refs., 15 figs., 6 tabs.
Enobio, Eli Christopher I.; Ohtani, Keita; Ohno, Yuzo; Ohno, Hideo
2013-12-02
We demonstrate the use of a Fourier Transform Infrared microscope system to detect and measure electroreflectance (ER) from mid-infrared quantum cascade laser (QCL) device. To characterize intersubband transition (ISBT) energies in a functioning QCL device, a microscope is used to focus the probe on the QCL cleaved mirror. The measured ER spectra exhibit resonance features associated to ISBTs under applied electric field in agreement with the numerical calculations and comparable to observed photocurrent, and emission peaks. The method demonstrates the potential as a characterization tool for QCL devices.
Schoonover, J R; Steckle, Jr., W P; Elliot, N; Ebey, P S; Nobile, A; Nikroo, A; Cook, R C; Letts, S A
2005-06-16
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
Rice, S.B.; Freund, H.; Huang, W.L.; Clouse, J.A.; Isaacs, C.M.
1995-10-02
An important goal in silica diagenesis research is to understand the kinetics of opal transformation from noncrystalline opal-A to the disordered silica polymorph opal-CT. Because the conventional technique for monitoring the transformation, powder X-ray diffraction (XRD), is applicable only to phases with long-range order, the authors used Fourier transform infrared spectroscopy (FTIR) to monitor the transformation. They applied this technique, combined with XRD and TEM, to experimental run products and natural opals from the Monterey Formation and from siliceous deposits in the western Pacific Ocean. Using a ratio of two infrared absorption intensities ({omega} = I{sub 472 cm{sup {minus}1}}/I{sub 500 cm{sup {minus}1}}), the relative proportions of opal-A and opal-CT can be determined. The progress of the transformation is marked by changes in slope of {omega} vs. depth or time when a sufficient stratigraphic profile is available. There are three stages in the opal-A to opal-CT reaction: (1) opal-A dissolution; (2) opal-CT precipitation, whose end point is marked by completion of opal-A dissolution; and (3) opal-CT ordering, during which tridymite stacking is eliminated in favor of crystobalite stacking.
Fourier transform channeled spectropolarimetry in the MWIR
Dereniak, Eustace L.
Fourier transform channeled spectropolarimetry in the MWIR Michael W. Kudenov,1 Nathan A. Hagen, 1 Abstract: A complete Fourier Transform Spectropolarimeter in the MWIR is demonstrated. The channeled and links 1. P. Griffiths and J. D. Haseth, "Fourier Transform Infrared Spectrometry," (John Wiley & Sons
Study of the hydrolysis of uranium hexafluoride by Fourier transform infrared spectroscopy
Anderson, S.P.
1982-08-01
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.
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.
2015-07-10
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
FOURIER TRANSFORM MULTIPLE QUANTUM NMR
Drobny, G.
2011-01-01
of transition observed in Fourier transform multiple quantumDecember 18-19, 1979 FOURIER TRANSFORM MULTIPLE QUANTUM NMRof London, December 1978. FOURIER TRANSFO~~ MULTIPLE QUANTUM
Discrete Fourier Transform Javier Montoya
Giger, Christine
Discrete Fourier Transform Javier Montoya Photogrammetry and Remote Sensing ETH Zurich March 16, 2012 1 Introduction The Discrete form of the Fourier transform is known as Discrete Fourier Transform domain using the Inverse Discrete Fourier Transform (IDFT): f(x) = 1 N N-1 x=0 F(u)ej 2 N ux for u = 0, 1
ContentsContents2424Fourier 1. The Fourier transform
Vickers, James
ContentsContents2424Fourier transforms 1. The Fourier transform 2. Properties of the Fourier Transform 3. Some Special Fourier Transform Pairs Learning outcomes needs doing Time allocation You mathematical topics this time may vary considerably. 1 #12;The Fourier Transform 24.1 Introduction
Leskovjan, A.C.; Kretlow, A.; Miller, L.M.
2010-04-01
Polyunsaturated fatty acids are essential to brain functions such as membrane fluidity, signal transduction, and cell survival. It is also thought that low levels of unsaturated lipid in the brain may contribute to Alzheimer's disease (AD) risk or severity. However, it is not known how accumulation of unsaturated lipids is affected in different regions of the hippocampus, which is a central target of AD plaque pathology, during aging. In this study, we used Fourier transform infrared imaging (FTIRI) to visualize the unsaturated lipid content in specific regions of the hippocampus in the PSAPP mouse model of AD as a function of plaque formation. Specifically, the unsaturated lipid content was imaged using the olefinic {double_bond}CH stretching mode at 3012 cm{sup -1}. The axonal, dendritic, and somatic layers of the hippocampus were examined in the mice at 13, 24, 40, and 56 weeks old. Results showed that lipid unsaturation in the axonal layer was significantly increased with normal aging in control (CNT) mice (p < 0.01) but remained low and relatively constant in PSAPP mice. Thus, these findings indicate that unsaturated lipid content is reduced in hippocampal white matter during amyloid pathogenesis and that maintaining unsaturated lipid content early in the disease may be critical in avoiding progression of the disease.
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 Transform Infrared Spectroscopy
Nizkorodov, Sergey
of the 1990 Clean Air Act Amendments, certain urban areas were required to add oxygenates to gasoline in order, violence, health issues and economic costs are beyond the scope of this introduction. In Part II range of the IR region extends from about 780 nm to 1,000 µm, with the relation between energy (E
Fourier transforms of UD integrals
Igor Kondrashuk; Anatoly Kotikov
2008-02-23
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
2013-01-17
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.
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
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
Redman, Stephen L.; Ramsey, Lawrence W.; Mahadevan, Suvrath [Department of Astronomy and Astrophysics, Pennsylvania State University, University Park, PA 16802 (United States); Lawler, James E. [Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, WI 53706 (United States); Nave, Gillian [National Institute of Standards and Technology, Gaithersburg, MD 20899 (United States)
2011-08-01
We provide new measurements of wavenumbers and line identifications of 10, 100 U I and U II near-infrared (NIR) emission lines between 2500 cm{sup -1} and 12, 000 cm{sup -1} (4000-850 nm) using archival Fourier transform spectrometer spectra from the National Solar Observatory. This line list includes isolated uranium lines in the Y, J, H, K, and L bands (0.9-1.1 {mu}m, 1.2-1.35 {mu}m, 1.5-1.65 {mu}m, 2.0-2.4 {mu}m, and 3.0-4.0 {mu}m, respectively), and provides six times as many calibration lines as thorium in the NIR spectral range. The line lists we provide enable inexpensive, commercially available uranium hollow cathode lamps to be used for high-precision wavelength calibration of existing and future high-resolution NIR spectrographs.
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
The Fourier Transform A Primer Hagit Shatkay
The Fourier Transform A Primer Hagit Shatkay Department of Computer Science Brown University Providence, Rhode Island 02912 CS9537 November 1995 #12; #12; The Fourier Transform -- A Primer Hagit Shatkay Department of Computer Science Brown University Providence, RI 02912 1 Introduction The Fourier
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)
2006-01-31
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
2014-11-21
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
2011-05-11
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.
Masci, Frank
The Fourier Transform The Fourier transform is crucial to any discussion of time series analysis: Fourier Series Fourier Transform Example and Interpretation Oddness and Evenness The Convolution Theorem Discrete Fourier Transforms Definitions Example Implementation Author Ã Fourier Series Recall the Fourier
Fourier transform and related integral transforms in superspace
Hendrik De Bie
2008-05-13
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.
2013-11-05
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
2013-12-01
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.; Ajagunna, A. O.; Georgakilas, A.
2013-02-21
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}.
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
Optical transformation from chirplet to fractional Fourier transformation kernel
Hong-yi Fan; Li-yun Hu
2009-02-11
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.
FOURIER TRANSFORMS AND FROBENIUS EIGENVALUES FOR FINITE COXETER GROUPS
Malle, Gunter
FOURIER TRANSFORMS AND FROBENIUS EIGENVALUES FOR FINITE COXETER GROUPS group involves a certain non-abelian Fourier transformation. We construct analogous- ory of character sheaves. We also determine Fourier matrices for the "spetses" (in the sense
Fourier Transform and convolution of Gaussians Robert Estalella
Estalella, Robert
Fourier Transform and convolution of Gaussians Robert Estalella 2013/01, revised 2015/05 Fourier GI (x) = A R T exp -4 ln 2 (x - x0)2 T 2 . References Bracewell, R. N. 2000, The Fourier Transform
FOURIER TRANSFORM METHODS IN GEOPHYSICS David Sandwell, January, 2013
Sandwell, David T.
1 FOURIER TRANSFORM METHODS IN GEOPHYSICS David Sandwell, January, 2013 1. Fourier Transforms Fourier transform are use in many areas of geophysics such as image processing, time series analysis, and antenna design. Here we focus on the use of fourier transforms for solving linear partial differential
Fourier-Laguerre transform, Convolution and Wavelets on the Ball
McEwen, Jason
Fourier-Laguerre transform, Convolution and Wavelets on the Ball Jason D. McEwen and Boris Leistedt.leistedt.11}@ucl.ac.uk Abstract--We review the Fourier-Laguerre transform, an al- ternative harmonic analysis on the three-dimensional ball to the usual Fourier-Bessel transform. The Fourier-Laguerre transform exhibits
ENGI 9420 Lecture Notes 7 -Fourier Series Page 7.01 7. Fourier Series and Fourier Transforms
George, Glyn
ENGI 9420 Lecture Notes 7 - Fourier Series Page 7.01 7. Fourier Series and Fourier Transforms Fourier series have multiple purposes, including the provision of series solutions to some linear partial differential equations with boundary conditions (as will be reviewed in Chapter 8). Fourier transforms
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
Purple bacteria and quantum Fourier transform
Samir Lipovaca
2007-02-22
The LH-II of purple bacteria Rhodospirillum (Rs.) molischianum and Rhodopseudomonas (Rps.) acidophila adopts a highly symmetrical ring shape, with a radius of about 7 nm. In the case of Rps. acidophila the ring has a ninefold symmetry axis, and in LH-II from Rs. molischianum the ring has an eightfold symmetry axis. These rings are found to exibit two bands of excitons. A simplified mathematical description of the exciton states is given in Hu, X. & Schulten, K. (1997) Physics Today 50, 28-34. Using this description, we will show, by suitable labeling of the lowest energy (Qy) excited states of individual BChls, that the resulting exciton states are the quantum Fourier transform of the BChls excited states. For Rs. molischianum ring exciton states will be modeled as the four qubit quantum Fourier transform and the explicit circuit will be derived. Exciton states for Rps. acidophila ring cannot be modeled with an integer number of qubits. Both quantum Fourier transforms are instances of the hidden subgroup problem and this opens up a possibility that both purple bacteria implement an efficient quantum circuit for light harvesting.
Fourier transformation of D-modules and applications
Sabbah, Claude
Fourier transformation of D-modules and applications Claude Sabbah Centre de Math´ematiques Laurent Schwartz UMR 7640 du CNRS ´Ecole polytechnique, Palaiseau, France Fourier transformation of D-modules and applications p. 1/3 #12;Newton polygon Fourier transformation of D-modules and applications p. 2/3 #12
Fourier transform of a Gaussian measure on the Heisenberg group
Barczy, Mátyás
Fourier transform of a Gaussian measure on the Heisenberg group M´aty´as Barczy and Gyula Pap University of Debrecen, Hungary Abstract An explicit formula is derived for the Fourier transform measure. 1 Introduction Fourier transforms of probability measures on a locally compact topological group
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
A direct digital synthesis chirped pulse Fourier transform microwave spectrometer
Blake, Geoffrey
A direct digital synthesis chirped pulse Fourier transform microwave spectrometer Ian A. Finneran OF SCIENTIFIC INSTRUMENTS 84, 083104 (2013) A direct digital synthesis chirped pulse Fourier transform microwave pulse Fourier transform microwave (CP-FTMW) spectrometers have become the instrument of choice
Quantum Fourier Transform Over Galois Rings
Yong Zhang
2009-04-16
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.
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
Discrete Fourier transform in nanostructures using scattering Michael N. Leuenbergera)
Flatte, Michael E.
Discrete Fourier transform in nanostructures using scattering Michael N. Leuenbergera) and Michael that the discrete Fourier transform DFT can be performed by scattering a coherent particle or laser beam off the initial vector into the two-dimensional potential by means of electric gates, the Fourier
Fourier Transforms in Computer Science Daniel Stefankovi c
Stefankovic, Daniel
Fourier Transforms in Computer Science Daniel #20; Stefankovi#20;c Submitted to the Department of the Fourier coeÃ?- cients of AC 0 functions. [LMN93] (harmonic analysis over the #12;nite group Z n 2 ) #15.3 Random Restrictions and the Fourier Transform . . . . . . . . . . . . . . . . . . . . 11 1.4 AC 0
Two-dimensional fourier transform spectrometer
DeFlores, Lauren; Tokmakoff, Andrei
2013-09-03
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
2015-07-31
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
2011-10-21
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
Thorie des Distributions Transforme de Fourier
Rioul, Olivier
Théorie des Distributions Transformée de Fourier Convolution Cours abrégé Olivier RIOUL TELECOM : dualité de Schwartz . . . . . . . . . . . . . . . . . . 41 4 Transformée de Fourier 47 4.1 Transformée de Fourier d'une fonction intégrable . . . . . . . . . 47 4.2 Transformée de Fourier d'une fonction tempérée
On Fourier transforms of radial functions and distributions
Loukas Grafakos; Gerald Teschl
2013-02-18
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.
Communication Interlaced Fourier transformation of ultrafast 2D NMR data
Frydman, Lucio
Communication Interlaced Fourier transformation of ultrafast 2D NMR data Mor Mishkovsky, Lucio in ultrafast 2D NMR is discussed and exemplified, based on the interlaced Fourier transformation. This approach in the achievable digital resolution. These expectations were tested by carrying out a series of homo
Vazirani, Umesh
CS294-4: Fourier Transforms and Theoretical Computer Science Spring 1999 Lecture 11: Quantum of the major quantum algorithms. We will discuss the next algorithms: #15; Computation of Fourier Transform #15 Computation of Fourier Transform We consider two kinds of Fourier Transforms: #15; Fourier Transform over ZZ N
Hassan, Moinuddin Ilev, Ilko
2014-10-15
Contamination of medical devices has become a critical and prevalent public health safety concern since medical devices are being increasingly used in clinical practices for diagnostics, therapeutics and medical implants. The development of effective sensing methods for real-time detection of pathogenic contamination is needed to prevent and reduce the spread of infections to patients and the healthcare community. In this study, a hollow-core fiber-optic Fourier transform infrared spectroscopy methodology employing a grazing incidence angle based sensing approach (FO-FTIR-GIA) was developed for detection of various biochemical contaminants on medical device surfaces. We demonstrated the sensitivity of FO-FTIR-GIA sensing approach for non-contact and label-free detection of contaminants such as lipopolysaccharide from various surface materials relevant to medical device. The proposed sensing system can detect at a minimum loading concentration of approximately 0.7 ?g/cm{sup 2}. The FO-FTIR-GIA has the potential for the detection of unwanted pathogen in real time.
American Society for Testing and Materials. Philadelphia
2004-01-01
1.1 This test method covers determining the concentrations of refrigerant-114, other carbon-containing and fluorine-containing compounds, hydrocarbons, and partially or completely substituted halohydrocarbons that may be impurities in uranium hexafluoride. The two options are outlined for this test method. They are designated as Part A and Part B. 1.1.1 To provide instructions for performing Fourier-Transform Infrared (FTIR) spectroscopic analysis for the possible presence of Refrigerant-114 impurity in a gaseous sample of uranium hexafluoride, collected in a "2S" container or equivalent at room temperature. The all gas procedure applies to the analysis of possible Refrigerant-114 impurity in uranium hexafluoride, and to the gas manifold system used for FTIR applications. The pressure and temperatures must be controlled to maintain a gaseous sample. The concentration units are in mole percent. This is Part A. 1.2 Part B involves a high pressure liquid sample of uranium hexafluoride. This method can be appli...
Hussain, Z.
2013-01-01
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.
2013-01-01
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
Quantum Fourier transform and tomographic Renyi entropic inequalities
M. A. Man'ko; V. I. Man'ko
2009-02-25
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
Liquid chromatography/Fourier transform IR spectrometry interface flow cell
Johnson, Charles C. (Fairfield, OH); Taylor, Larry T. (Blacksburg, VA)
1986-01-01
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.
1985-01-04
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.
THE FOURIER TRANSFORM IN WEIGHTED LORENTZ SPACES
Sinnamon, Gordon J.
the Lorentz space p(v) to be the collection of functions f : Rn R for which f p(v) = 0 (f )p v 1/p 1991, Weights, Lorentz Space. Support from the Natural Sciences and Engineering Research Council of Canada transform as a map on p(v). Our work here represents a development of his ideas in a different direction
Fourier-transform and global contrast interferometer alignment methods
Goldberg, Kenneth A. (Berkeley, CA)
2001-01-01
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
2006-05-22
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
Fast Fourier Transform for Fitness Landscapes Dan Rockmorea, Peter Kosteleca, Wim Hordijkb, Peter F.
Stadler, Peter F.
Fast Fourier Transform for Fitness Landscapes Dan Rockmorea, Peter Kosteleca, Wim Hordijkb, Peter F of the Walsh/Fourier transforms are feasible for landscapes with up to 108 configurations using Fast Fourier as the generating set on Sn. Keywords. Spectral Analysis, Fast Fourier Transform, Walsh Functions, Cayley Graphs
Numerical Methods for the Inverse Nonlinear Fourier Transform
Civelli, Stella; Secondini, Marco
2015-01-01
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
Physics 343 Lecture # 5: Sun, Stars, and Planets; Fourier Transforms
Baker, Andrew J.
Physics 343 Lecture # 5: Sun, Stars, and Planets; Fourier Transforms #12; Schedule mydata.rad :2012:050:16:30:00 : freq 1418 1 : Sun : offset 20 0 :30 : Sun : npoint : offset 0 0 :60 ... this order records useless data should be combined as ": Sun n" overwrites offsets from pointing #12;February
Discrete Fourier Transform Homework consists of the problems not ...
2011-02-18
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.
Quantum Discrete Fourier Transform with Classical Output for Signal Processing
Chao-Yang Pang; Ben-Qiong Hu
2007-06-17
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)
2002-01-01
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.
Wavelength-encoded tomography based on optical temporal Fourier transform
Zhang, Chi; Wong, Kenneth K. Y.
2014-09-01
We propose and demonstrate a technique called wavelength-encoded tomography (WET) for non-invasive optical cross-sectional imaging, particularly beneficial in biological system. The WET utilizes time-lens to perform the optical Fourier transform, and the time-to-wavelength conversion generates a wavelength-encoded image of optical scattering from internal microstructures, analogous to the interferometery-based imaging such as optical coherence tomography. Optical Fourier transform, in principle, comes with twice as good axial resolution over the electrical Fourier transform, and will greatly simplify the digital signal processing after the data acquisition. As a proof-of-principle demonstration, a 150?-?m (ideally 36??m) resolution is achieved based on a 7.5-nm bandwidth swept-pump, using a conventional optical spectrum analyzer. This approach can potentially achieve up to 100-MHz or even higher frame rate with some proven ultrafast spectrum analyzer. We believe that this technique is innovative towards the next-generation ultrafast optical tomographic imaging application.
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
Twin image elimination in digital holography by combination of Fourier transformations
Choudhury, Debesh
2013-01-01
We present a new technique for removing twin image in in-line digital Fourier holography using a combination of Fourier transformations. Instead of recording only a Fourier transform hologram of the object, we propose to record a combined Fourier transform hologram by simultaneously recording the hologram of the Fourier transform and the inverse Fourier transform of the object with suitable weighting coefficients. Twin image is eliminated by appropriate inverse combined Fourier transformation and proper choice of the weighting coefficients. An optical configuration is presented for recording combined Fourier transform holograms. Simulations demonstrate the feasibility of twin image elimination. The hologram reconstruction is sensitive to phase aberrations of the object, thereby opening a way for holographic phase sensing.
Integrated standing-wave transform spectrometer for near infrared optical analysis
Miller, David A. B.
Integrated standing-wave transform spectrometer for near infrared optical analysis S. R. Bhalotra standing-wave Fourier-transform spectrometer design has been developed for applica- tions in the near IR. Whereas recent development of the standing-wave architecture has been focused on interferometric sensing
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
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
RELATIVE FOURIER-MUKAI TRANSFORMS FOR WEIERSTRASS FIBRATIONS, ABELIAN SCHEMES AND FANO FIBRATIONS
Martín, Ana Cristina López
RELATIVE FOURIER-MUKAI TRANSFORMS FOR WEIERSTRASS FIBRATIONS, ABELIAN SCHEMES AND FANO FIBRATIONS the group of relative Fourier-Mukai transforms for Weierstraß fibrations, abelian schemes and Fano or anti schemes over an arbitrary base we prove that if two of them are relative Fourier-Mukai partners
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
On the Fourier Transform Approach to Quantum Error Control
Hari Dilip Kumar
2012-08-24
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.
Universal calculation formula and calibration method in Fourier transform profilometry
Wen Yongfu; Li Sikun; Cheng Haobo; Su Xianyu; Zhang Qican
2010-12-01
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.
Matrix Fourier transform in dynamic theory of elasticity of piecewise homogeneous medium
O. Yaremko.; E. Mogileva
2013-09-24
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.
The Green's function for the three-dimensional linear Boltzmann equation via Fourier transform
Manabu Machida
2015-10-03
The linear Boltzmann equation with constant coefficients in the three-dimensional infinite space is revisited. It is known that the Green's function can be calculated via the Fourier transform in the case of isotropic scattering. In this paper, we show that the three-dimensional Green's function can be computed with the Fourier transform even in the case of arbitrary anisotropic scattering.
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
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
Ng, Chung-Sang
PHYS 301 -- Introduction to Mathematical Physics Chapter 7 Fourier Series and Transforms (Section in most physical situations are non-periodic. (iv) Parseval's Theorem can be applied to Fourier transforms is applied. These are mostly applications in mathematics, rather than physics directly. Key equations: (11
Single beam Fourier transform digital holographic quantitative phase microscopy
Anand, A. Chhaniwal, V. K.; Mahajan, S.; Trivedi, V.; Faridian, A.; Pedrini, G.; Osten, W.; Dubey, S. K.; Javidi, B.
2014-03-10
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.
2015-03-24
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.
Stadler, Peter F.
Fast Fourier Transform for Fitness Landscapes Dan Rockmore a , Peter Kostelec a , Wim Hordijk b that explicit computations of the Walsh/Fourier transforms are feasible for landscapes with up to 10 8 configurations using Fast Fourier Transform techniques. We find that the cost function of a linear sum assignment
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
Lab 7: Fourier analysis and synthesis Fourier series (periodic phenomena)
Gustafsson, Torgny
Lab 7: Fourier analysis and synthesis · Fourier series (periodic phenomena) · Fourier transform (aperiodic phenomena) · Fast Fourier transform (FFT) The Fourier Transform and its Applications Brad G A powerful analytic tool that has many applications.... #12;Applications of Fourier analysis Periodic
Fourier Transform Infrared Spectroscopy for Process Monitoring and Control
Solomon, P. R.; Carangelo, M. D.; Carangelo, R. M.
1994-01-01
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 boilers are presented....
Representation of the Fourier transform as a weighted sum of the complex error functions
S. M. Abrarov; B. M. Quine
2015-08-05
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.
High Performance Scalable Base-4 Fast Fourier Transform Mapping
Kepner, Jeremy
)( 1)/- - - = I n k N W e #12;Base-4 Matrix Equation 1 1 2 1 /4 3 1 / 2 4 1 3 /4 5 2 4 4 3 /4 2 / 2 1 - = Â· - - - -= - - - t Y " "= element by element multiply Â· Â· Form for N=16 Â· General Form 1 2 = = t b b t M M M Y W Transform Â· Mathematical form: Â· Matrix form Z=CX: (N=16) Â· Multiplications = N 2 (2 / )( 1)( 1) 1 [ ] [ ] 1
Fast Inverse Nonlinear Fourier Transform For Generating Multi-Solitons In Optical Fiber
Wahls, Sander
2015-01-01
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.
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
(Astro)Physics 343 Lecture # 5: Sun, Stars, and Planets; Fourier Transforms
Baker, Andrew J.
(Astro)Physics 343 Lecture # 5: Sun, Stars, and Planets; Fourier Transforms #12; Schedule perceptible response to Sun. Solution: tighten up connector between feed probe and preamplifier electronics, without getting stung. #12;February 12, 2007 Physics/Astronomy 343 6 Size, mass, and distance of the Sun
Rendering falling snow using an inverse Fourier transform Michael S. Langer
Langer, Michael
Rendering falling snow using an inverse Fourier transform Michael S. Langer School of Computer snow, non-photorealistic rendering Methods for rendering falling snow typically use particle sys- tems we present an alter- native method for rendering falling snow which does not use parti- cles
The Fourier transform solution for the Green's function of monoenergetic neutron transport theory
Barry D. ganapol
2014-03-17
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
Nikolay I. Agladz, John Klopf, Gwyn Williams, Albert J. Sievers
2010-06-01
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-SERIES METHOD FOR INVERTING TRANSFORMS OF PROBABILITY DISTRIBUTIONS
Whitt, Ward
Ward Whitt 900 Hammond Road AT&T Bell Laboratories Ridgewood, NJ 07450-2908 Room 2C-178 Murray Hill, NJ FOURIER-SERIES METHOD FOR INVERTING TRANSFORMS OF PROBABILITY DISTRIBUTIONS by Joseph Abate Ward Whitt 900 Hammond Road AT&T Bell Laboratories Ridgewood, NJ 07450-2908 Room 2C-178 Murray Hill, NJ 07974
Vertical sheaves and Fourier-Mukai transform on elliptic Calabi-Yau threefolds
Diaconescu, Duiliu-Emanuel
2015-01-01
This paper studies the action of the Fourier-Mukai transform on moduli spaces of vertical torsion sheaves on elliptic Calabi-Yau threefolds in Weierstrass form. Moduli stacks of semistable one dimensional sheaves on such threefolds are identified with open and closed substacksof moduli stacks of vertical semistable two dimensional sheaves on their Fourier-Mukai duals. In particular, this yields explicit conjectural results for Donaldson-Thomas invariants of vertical two dimensional sheaves on K3-fibered elliptic Calabi-Yau threefolds.
Joachim Wuttke
2012-09-01
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}.
Nagler, Peter C; Kogut, Alan; Tucker, Gregory S
2015-01-01
The detection of the primordial B-mode polarization signal of the cosmic microwave background (CMB) would provide evidence for inflation. Yet as has become increasingly clear, the detection of a such a faint signal requires an instrument with both wide frequency coverage to reject foregrounds and excellent control over instrumental systematic effects. Using a polarizing Fourier transform spectrometer (FTS) for CMB observations meets both these requirements. In this work, we present an analysis of instrumental systematic effects in polarizing Fourier transform spectrometers, using the Primordial Inflation Explorer (PIXIE) as a worked example. We analytically solve for the most important systematic effects inherent to the FTS - emissive optical components, misaligned optical components, sampling and phase errors, and spin synchronous effects - and demonstrate that residual systematic error terms after corrections will all be at the sub-nK level, well below the predicted 100 nK B-mode signal.
S. M. Abrarov; B. M. Quine
2015-11-03
This paper presents a new approach in application of the Fourier transform to the complex error function resulting in an efficient rational approximation. Specifically, the computational test shows that with only $17$ summation terms the obtained rational approximation of the complex error function provides accuracy ${10^{ - 15}}$ over the most domain of practical importance $0 \\le x \\le 40,000$ and ${10^{ - 4}} \\le y \\le {10^2}$ required for the HITRAN-based spectroscopic applications. Since the rational approximation does not contain trigonometric or exponential functions dependent upon the input parameters $x$ and $y$, it is rapid in computation. Such an example demonstrates that the considered methodology of the Fourier transform may be advantageous in practical applications.
Quantum suppression law in a 3-D photonic chip implementing the Fast Fourier Transform
Andrea Crespi; Roberto Osellame; Roberta Ramponi; Marco Bentivegna; Fulvio Flamini; Nicolò Spagnolo; Niko Viggianiello; Luca Innocenti; Paolo Mataloni; Fabio Sciarrino
2015-08-04
The identification of phenomena able to pinpoint quantum interference is attracting large interest. Indeed, a generalization of the Hong-Ou-Mandel effect valid for any number of photons and optical modes would represent an important leap ahead both from a fundamental perspective and for practical applications, such as certification of photonic quantum devices, whose computational speedup is expected to depend critically on multiparticle interference. Quantum distinctive features have been predicted for many particles injected into multimode interferometers implementing the Fourier transformation in the Fock space. In this work we develop a scalable approach for the implementation of quantum fast Fourier transform using 3-D photonic integrated interferometers, fabricated via femtosecond laser writing technique. We observe the quantum suppression of a large number of output states with 4- and 8-mode optical circuits: the experimental results demonstrate genuine quantum interference between the injected photons, thus offering a powerful tool for diagnostic of photonic platforms.
(Astro)Physics 343 Lecture # 5: Sun, Stars, and Planets; Fourier Transforms
Baker, Andrew J.
(Astro)Physics 343 Lecture # 5: Sun, Stars, and Planets; Fourier Transforms #12; Schedule # 5: running now #12;February 12, 2007 Physics/Astronomy 343 5 Size, mass, and distance of the Sun 106 mi Distance From Sun 2.0 x 1030 kg1.9 x 1027 kg6.0 x 1024 kgMass 1,400,00 km 865,000 mi 140,000 km
Lasalde Dominicc, Jose A. - Department of Biology, Universidad de Puerto Rico
Fourier transform coupled to tryptophan-scanning mutagenesis: Lessons from its application 20 February 2008 Although Fourier transform (FT) and tryptophan-scanning mutagenesis (TrpScanM) have: Tryptophan-scanning mutagenesis Fourier transform Ligand-gated ion channel Lipid-exposed transmembrane domain
Implementation of the quantum Fourier transform on a hybrid qubit-qutrit NMR quantum emulator
Shruti Dogra; Arvind; Kavita Dorai
2015-03-23
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.
Svetoslav S. Ivanov; Michael Johanning; Christof Wunderlich
2015-09-06
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 Cooley-Tuckey scheme, which prescribes sequences of CPHASE gates, our implementation is based on one-qubit gates and a free evolution process. We also show how to obtain a quadratic speed-up by applying the conditional interactions simultaneously. Thus rather than O($N^2$) our implementation time scales as O($N$). Finally, we show a realization of our method with homogeneous microwave driven ion traps in a magnetic field with gradient.
Non-uniform sampled scalar diffraction calculation using non-uniform fast Fourier transform
Shimobaba, Tomoyoshi; Oikawa, Minoru; Okada, Naohisa; Endo, Yutaka; Hirayama, Ryuji; Ito, Tomoyoshi
2013-01-01
Scalar diffraction calculations such as the angular spectrum method (ASM) and Fresnel diffraction, are widely used in the research fields of optics, X-rays, electron beams, and ultrasonics. It is possible to accelerate the calculation using fast Fourier transform (FFT); unfortunately, acceleration of the calculation of non-uniform sampled planes is limited due to the property of the FFT that imposes uniform sampling. In addition, it gives rise to wasteful sampling data if we calculate a plane having locally low and high spatial frequencies. In this paper, we developed non-uniform sampled ASM and Fresnel diffraction to improve the problem using the non-uniform FFT.
Quantization maps, algebra representation, and non-commutative Fourier transform for Lie groups
Guedes, Carlos; Oriti, Daniele; Raasakka, Matti; LIPN, Institut Galilée, Université Paris-Nord, 99, av. Clement, 93430 Villetaneuse
2013-08-15
The phase space given by the cotangent bundle of a Lie group appears in the context of several models for physical systems. A representation for the quantum system in terms of non-commutative functions on the (dual) Lie algebra, and a generalized notion of (non-commutative) Fourier transform, different from standard harmonic analysis, has been recently developed, and found several applications, especially in the quantum gravity literature. We show that this algebra representation can be defined on the sole basis of a quantization map of the classical Poisson algebra, and identify the conditions for its existence. In particular, the corresponding non-commutative star-product carried by this representation is obtained directly from the quantization map via deformation quantization. We then clarify under which conditions a unitary intertwiner between such algebra representation and the usual group representation can be constructed giving rise to the non-commutative plane waves and consequently, the non-commutative Fourier transform. The compact groups U(1) and SU(2) are considered for different choices of quantization maps, such as the symmetric and the Duflo map, and we exhibit the corresponding star-products, algebra representations, and non-commutative plane waves.
Enrico Celeghini; Mariano A. del Olmo
2014-11-11
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 Sloboda, Ron S.
2014-05-15
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.
Exploring two-dimensional electron gases with two-dimensional Fourier transform spectroscopy
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Paul, J.; Dey, P.; Tokumoto, T.; Reno, J. L.; Hilton, D. J.; Karaiskaj, D.
2014-10-07
The dephasing of excitons in a modulation doped single quantum well was carefully measured using time integrated four-wave mixing (FWM) and two-dimensional Fourier transform (2DFT) spectroscopy. These are the first 2DFT measurements performed on a modulation doped single quantum well. The inhomogeneous and homogeneous excitonic line widths were obtained from the diagonal and cross-diagonal profiles of the 2DFT spectra. The laser excitation density and temperature were varied and 2DFT spectra were collected. A very rapid increase of the dephasing decay, and as a result, an increase in the cross-diagonal 2DFT linewidths with temperature was observed. The lineshapes of the 2DFTmore »spectra suggest the presence of excitation induced dephasing and excitation induced shift.« less
Label-free identification of individual bacteria using Fourier transform light scattering
Jo, YoungJu; Kim, Min-hyeok; Park, HyunJoo; Kang, Suk-Jo; Park, YongKeun
2015-01-01
Rapid identification of bacterial species is crucial in medicine and food hygiene. In order to achieve rapid and label-free identification of bacterial species at the single bacterium level, we propose and experimentally demonstrate an optical method based on Fourier transform light scattering (FTLS) measurements and statistical classification. For individual rod-shaped bacteria belonging to four bacterial species (Listeria monocytogenes, Escherichia coli, Lactobacillus casei, and Bacillus subtilis), two-dimensional angle-resolved light scattering maps are precisely measured using FTLS technique. The scattering maps are then systematically analyzed, employing statistical classification in order to extract the unique fingerprint patterns for each species, so that a new unidentified bacterium can be identified by a single light scattering measurement. The single-bacterial and label-free nature of our method suggests wide applicability for rapid point-of-care bacterial diagnosis.
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
Miller, David A. B.
Real-time discrimination of spectra by time-domain adaptive filtering in a Fourier transform discrimination system with minimal data extraction and processing, insensitive to scan nonlinearities. We demonstrate real-time discrimination of monochromatic sources 30 nm apart, employing a spectrometer
Method for calibrating a Fourier transform ion cyclotron resonance mass spectrometer
Smith, Richard D.; Masselon, Christophe D.; Tolmachev, Aleksey
2003-08-19
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.
Analysis of hyper-spectral data derived from an imaging Fourier transform: A statistical perspective
Sengupta, S.K.; Clark, G.A.; Fields, D.J.
1996-01-10
Fourier transform spectrometers (FTS) using optical sensors are increasingly being used in various branches of science. Typically, a FTS generates a three-dimensional data cube with two spatial dimensions and one frequency/wavelength dimension. The number of frequency dimensions in such data cubes is generally very large, often in the hundreds, making data analytical procedures extremely complex. In the present report, the problem is viewed from a statistical perspective. A set of procedures based on the high degree of inter-channel correlation structure often present in such hyper-spectral data, has been identified and applied to an example data set of dimension 100 x 128 x 128 comprising 128 spectral bands. It is shown that in this case, the special eigen-structure of the correlation matrix has allowed the authors to extract just a few linear combinations of the channels (the significant principal vectors) that effectively contain almost all of the spectral information contained in the data set analyzed. This in turn, enables them to segment the objects in the given spatial frame using, in a parsimonious yet highly effective way, most of the information contained in the data set.
Ota, T. A.
2013-10-15
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; Lee, Sukbin; Rollett, Anthony D
2009-01-01
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.
GAMANL : a computer program applying Fourier transforms to the analysis of gamma spectral data
Harper, Thomas Lawrence
1968-01-01
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
2014-02-27
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.
2015-01-01
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.
Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform
Emanuel Carneiro; Ricardo J. Alonso
2009-03-04
We extend the $L^p$-theory of the Boltzmann collision operator by using classical techniques based in the Carleman representation and Fourier analysis, allied to new ideas that exploit the radial symmetry of this operator. We are then able to greatly simplify existent technical proofs in this theory, extend the range, and obtain explicit sharp constants in some convolution-like inequalities for the gain part of the Boltzmann collision operator.
Detection and discrimination of the periodicity of prime numbers by discrete Fourier transform
Levente Csoka
2015-01-27
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.
Airborne Fourier transform spectrometer observations in support of EOS Aura validation
), Microwave Limb Sounder (MLS), and Tropospheric Emission Spectrometer (TES) instruments aboard the EOS Aura measurements of gaseous constituents derived from the absorption of infrared solar radiation by the atmosphere here on comparisons with limb viewing measurements made by the Microwave Limb Sounder (MLS) [Waters et
Pyridine sorption to mineral surfaces: a fourier transform infrared spectroscopy study
Graham, Robert Edward
1999-01-01
Sorption of organic contaminants affects their bioavailability and therefore the success of biodegradation in the subsurface. The bioavailability of complex mixtures in low organic matter environments is affected by the sorption of polar compounds...
Fourier Transform Raman Spectroscopy of Photoactive Proteins with Near-Infrared Excitation
Johnson, Carey K.; Rubinovitz, Ronald
1990-07-01
) and bacteriopheophytin, bacteriochlorophyll, and carotenoids (in reaction centers). The relative intensities of retinylidene modes in the spectrum for nonresonant FT Raman spectroscopy of bacteriorhodopsin are nearly identical to those observed in the resonance Raman...
in the Snake River Plain Aquifer below the Test Area North (TAN) facility of the Idaho National Engineering
Pezolet, Michel
were put forward to develop non-fouling surfaces by `hiding' or `shielding' the material surface from of this latter low- fouling molecule. Among the molecules consid- ered, poly(ethylene glycol) of various sizes- propylene, polyethylene, polytetrafluoroethylene, various types of polyurethanes, etc.) exhibited a 90
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
Niida, Chisato; Nakajima, Masakazu; Endo, Yasuki; Sumiyoshi, Yoshihiro; Ohshima, Yasuhiro; Kohguchi, Hiroshi
2014-03-14
Pure rotational transitions of the Ar–CS van der Waals complex have been observed by Fourier Transform Microwave (FTMW) and FTMW-millimeter wave double resonance spectroscopy. Rotational transitions of v{sub s} = 0, 1, and 2 were able to be observed for normal CS, together with those of C{sup 34}S in v{sub s} = 0, where v{sub s} stands for the quantum number of the CS stretching vibration. The observed transition frequencies were analyzed by a free rotor model Hamiltonian, where rovibrational energies were calculated as dynamical motions of the three nuclei on a three-dimensional potential energy surface, expressed by analytical functions with 57 parameters. Initial values for the potential parameters were obtained by high-level ab initio calculations. Fifteen parameters were adjusted among the 57 parameters to reproduce all the observed transition frequencies with the standard deviation of the fit to be 0.028 MHz.
Fourier Transforms as a tool for Analysis of Hadron-Hadron collisions
M. Campanelli; J. W. Monk
2009-10-27
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)
2008-01-01
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)
2012-01-10
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.
in size, shape, and frequency. Specific disturbance agents generate can- opy gaps that often haveUse of fourier transforms to define landscape scales of analysis for disturbances: a case study National Forest, Disturbance impact, Forest diseases, Impact assessment, Remote sens- ing, South Dakota
Roger Lew; Brian P. Dyre; Steffen Werner; Jeffrey C. Joe; Brian Wotring; Tuan Tran
2008-09-01
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.
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Scott, Jill R.; Ham, Jason E.; Durham, Bill; Tremblay, Paul L.
2004-01-01
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
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.
2011-10-24
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
Scott, Jill Rennee; Tremblay, Paul Leland
2002-03-01
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.
Fast Fourier demodulation Yuval Carmona)
Ribak, Erez
Fast Fourier demodulation Yuval Carmona) and Erez N. Ribakb) Department of Physics, Technion, Haifa present a fast Fourier demodulation method for calculating the distortion in a repetitive pattern in Fourier space. After demodulation, we are left with the Fourier transform of the sought phase information
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
Jas, Gouri S.; Wan, Chaozhi; Johnson, Carey K.
1995-05-01
resolution at several time delays between pump pulses at 355 nm and probe pulses at 1064 nm. The near-infrared excited-state Raman scattering is enhanced by resonance with an excited-state transition of DPA. The excited-state Raman bands decay in about 5-6 ns...
A determining form for the damped driven nonlinear Schrödinger equation-Fourier modes case
Jolly, MS; Sadigov, T; Titi, ES
2015-01-01
1984) [5] J. Bourgain, Fourier transformation restrictionStokes equations - the Fourier modes case, Journal ofSCHR ODINGER EQUATION- FOURIER MODES CASE MICHAEL S. JOLLY,
Niemi, K.; O'Connell, D.; Gans, T.; Oliveira, N. de; Joyeux, D.; Nahon, L.; Booth, J. P.
2013-07-15
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. %.
Fast Fourier Demodulation Yuval Carmona,b
Ribak, Erez
Fast Fourier Demodulation Yuval Carmona,b and Erez N. Ribaka a Department of Physics, Technion a fast Fourier demodulation method for calculating the distortion in a repetitive pattern. The technique in Fourier space. After demodulation we are left with the Fourier transform of the sought phase information
Köck, Eva-Maria; Kogler, Michaela; Pramsoler, Reinhold; Klötzer, Bernhard; Penner, Simon
2014-08-15
The construction of a newly designed high-temperature, high-pressure FT-IR reaction cell for ultra-dry in situ and operando operation is reported. The reaction cell itself as well as the sample holder is fully made of quartz glass, with no hot metal or ceramic parts in the vicinity of the high-temperature zone. Special emphasis was put on chemically absolute water-free and inert experimental conditions, which includes reaction cell and gas-feeding lines. Operation and spectroscopy up to 1273 K is possible, as well as pressures up to ambient conditions. The reaction cell exhibits a very easy and variable construction and can be adjusted to any available FT-IR spectrometer. Its particular strength lies in its possibility to access and study samples under very demanding experimental conditions. This includes studies at very high temperatures, e.g., for solid-oxide fuel cell research or studies where the water content of the reaction mixtures must be exactly adjusted. The latter includes all adsorption studies on oxide surfaces, where the hydroxylation degree is of paramount importance. The capability of the reaction cell will be demonstrated for two selected examples where information and in due course a correlation to other methods can only be achieved using the presented setup.
Strong, Kimberly
made in the laboratory in 1839 by SchÂ¨onbein [1,2]. It is well known as an important component of our atmo- sphere, as it strongly absorbs solar ultraviolet (UV) radiation. Total ozone column measurementsDirect journal homepage: www.elsevier.com/locate/jqsrt Journal of Quantitative Spectroscopy & Radiative Transfer
Pan, Wei-Ping; Lu, Huagang; Hyatt, J.
1995-12-31
The fundamental thermal behavior of five materials (Illinois coal No. 6, Kentucky coal No. 9, polyvinyl chloride, cellulose, newspaper) has been investigated using the TGA/FTIR/MS system under the condition of combustion. The system was used to identify molecular chlorine, along with HCI, CO, CO{sub 2}, H{sub 2}O and various hydrocarbons in the gaseous products of the combustion of PVC resin in air. This is a significant finding that will lead us to examine this combustion step further to look for the formation of chlorinated organic compounds during co-firing of coal with refuse derived fuels.
Lu, Huagang; Li, Jigui; Lloyd, W.G.
1995-11-01
According to a report of the Environmental Protection Agency (EPA), `Characterization of Municipal Solid Waste (MSW) in the United States`, the total MSW produced in the U.S. increased from 179 million tons in 1988 to 195 million tons in 1990. The EPA predicted that the country would produce about 216 million tons of garbage in the year 2000. The amount of waste generated and the rapidly declining availability of sanitary landfills has forced most municipalities to evaluate alternative waste management technologies for reducing the volume of waste sent to landfills. The fraction of MSW that is processed by such technologies as separation and recycling, composting, and waste-to-energy was forecast to increase from a few percent today to 30-40% by the year 2000. Waste-to-energy conversion of MSW can appear to be attractive because of the energy recovered, the economic value of recycled materials, and the cost savings derived from reduced landfill usage. However, extra care needs to be taken in burning MSW or refuse-derived fuel (RDF) to optimize the operating conditions of a combustor so that the combustion takes place in an environmentally acceptable manner. For instance, polychlorinated dibenzodioxins (PCDDs) and polychlorinated dibenzofurans (PCDFs) have been found in the precipitator fly ash and flue gas of some incinerator facilities in the United States and Europe. The amount of PCDDs and PCDFs occurs only in the parts-per-billion to parts-per-trillion range, but these chlorinated organics exhibit very high toxicity (LD{sub 50} < 10 {mu}g/Kg). The compound 2,3,7,8-tetrachlorodibenzodioxin has been found to be acnegenic, carcinogenic, and teratogenic. This has slowed or even stopped the construction and operation of waste-to-energy plants.
2011-01-01
spectroscopy coupled with multivariate data analysis. I.Krzanowski WJ: Principles of multivariate analysis: a user’set al. : Combining multivariate analysis and monosaccharide
2011-01-01
spectroscopy coupled with multivariate data analysis. I.Krzanowski WJ: Principles of multivariate analysis: a user’set al. : Combining multivariate analysis and monosaccharide
Fourier interpolation stochastic optical fluctuation imaging
Enderlein, JÃ¶rg
Fourier interpolation stochastic optical fluctuation imaging Simon C. Stein,1 Anja Huss,1,2 Dirk H on Fourier transforms. We exemplify the method on simulated and experimental data. Â© 2015 Optical Society
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
FOURIER SERIES IN WEIGHTED LORENTZ SPACES JAVAD RASTEGARI AND GORD SINNAMON
Sinnamon, Gordon J.
FOURIER SERIES IN WEIGHTED LORENTZ SPACES JAVAD RASTEGARI AND GORD SINNAMON Abstract. The Fourier Lorentz space inequalities for the Fourier transform. Applications are given that involve Fourier of weighted Fourier inequalities has so far focused on the Fourier transform of functions on R. Very little
Fourier Sampling over Abelian 5.1 Introduction
Hallgren, Sean
27 Chapter 5 Fourier Sampling over Abelian Groups 5.1 Introduction In this chapter we analyze the relationship between the Fourier transform over the cyclic group Z p and the Fourier transform over the cyclic, there is a natural extension of the results to general abelian groups. The two main results are a Fourier sampling
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)
2013-12-07
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.
FOURIER RESTRICTION FOR AFFINE ARCLENGTH MEASURES IN THE PLANE
FOURIER RESTRICTION FOR AFFINE ARCLENGTH MEASURES IN THE PLANE Daniel M. Oberlin Department class of curves in the plane, of the Fe#11;erman-Zygmund theorem on restriction of the Fourier transformB10. Key words and phrases. Fourier transform, restriction. Typeset by A M S-T E X 1 #12; 2 DANIEL M
Fast Fourier Analysis for Abelian Group Extensions Daniel Rockmore \\Lambda
Rockmore, Dan
Fast Fourier Analysis for Abelian Group Extensions Daniel Rockmore \\Lambda Harvard University defined on G and ae an irreducible complex matrix representation of G. The Fourier transform of f at ae is defined to be the matrix P s2G f(s)ae(s). The Fourier transforms of f at all the irreducible
McGuire, John Andrew
2004-11-24
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
2006-05-20
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
2006-06-07
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 Series and Integrals Fourier Series
Mehta, Pankaj
Fourier Series and Integrals Fourier Series Let f(x) be a piecewise linear function on [-L, L(x) can be expanded in a Fourier series f(x) = a0 2 + n=1 an cos nx L + bn sin nx L , (1a) or schematic form of the Fourier series is f(x) = n (an^cn + bn^sn). (2) This emphasizes that the Fourier
ON ASTALA'S THEOREM FOR MARTINGALES AND FOURIER ...
2015-06-26
for the Beurling-Ahlfors transform B on C proved by K. Astala in [2]. This operator is a Fourier multiplier with the symbol m(?) = ?/?, ? ? C, and can also be defined ...
Fourier Multipliers and Dirac Operators Craig A. Nolder and Guanghong Wang
Fourier Multipliers and Dirac Operators Craig A. Nolder and Guanghong Wang Abstract. We use Fourier estimates on second order Riesz transforms to obtain this result. Using the Fourier multiplier. Keywords. Fourier multipliers, Clifford analysis, Dirac operators, op- erator, Beurling Ahlfors transform
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
Johnson, Timothy J.; Sweet, Lucas E.; Meier, David E.; Mausolf, Edward J.; Kim, Eunja; Weck, Philippe F.; Buck, Edgar C.; McNamara, Bruce K.
2015-10-01
Uranyl nitrate is a key species in the nuclear fuel cycle. However, this species is known to exist in different states of hydration, including the hexahydrate ([UO2(NO3)2(H2O)6] often called UNH), the trihydrate [UO2(NO3)2(H2O)3 or UNT], and in very dry environments the dihydrate form [UO2(NO3)2(H2O)2]. Their relative stabilities depend on both water vapor pressure and temperature. In the 1950s and 1960s the different phases were studied by infrared transmission spectroscopy, but were limited both by instrumental resolution and by the ability to prepare the samples for transmission. We have revisited this problem using time-resolved reflectance spectroscopy, which requires no sample preparation and allows dynamic analysis while the sample is exposed to a flow of N2 gas. Samples of known hydration state were prepared and confirmed via X-ray diffraction patterns of known species. In reflectance mode the hexahydrate UO2(NO3)2(H2O)6 has a distinct uranyl asymmetric stretch band at 949.0 cm-1 that shifts to shorter wavelengths and broadens as the sample desiccates and recrystallizes to the trihydrate, first as a shoulder growing in on the blue edge but ultimately results in a doublet band with reflectance peaks at 966 and 957 cm-1. The data are consistent with transformation from UNH to UNT as UNT has two inequivalent UO22+ sites. The dehydration of UO2(NO3)2(H2O)6 to UO2(NO3)2(H2O)3 is both a structural and morphological change that has the lustrous lime green UO2(NO3)2(H2O)6 crystals changing to the matte greenish yellow of the trihydrate solid. The phase transformation and crystal structures were confirmed by density functional theory calculations and optical microscopy methods, both of which showed a transformation with two distinct sites for the uranyl cation in the trihydrate, with but one in the hexahydrate.
From "Dirac combs" to Fourier-positivity
Bertrand G. Giraud; Robi Peschanski
2015-09-08
Motivated by various problems in physics and applied mathematics, we look for constraints and properties of real Fourier-positive functions, i.e. with positive Fourier transforms. Properties of the "Dirac comb" distribution and of its tensor products in higher dimensions lead to Poisson resummation, allowing for a useful approximation formula of a Fourier transform in terms of a limited number of terms. A connection with the Bochner theorem on positive definiteness of Fourier-positive functions is discussed. As a practical application, we find simple and rapid analytic algorithms for checking Fourier-positivity in 1- and (radial) 2-dimensions among a large variety of real positive functions. This may provide a step towards a classification of positive positive-definite functions.
From "Dirac combs" to Fourier-positivity
Giraud, Bertrand G
2015-01-01
Motivated by various problems in physics and applied mathematics, we look for constraints and properties of real Fourier-positive functions, i.e. with positive Fourier transforms. Properties of the "Dirac comb" distribution and of its tensor products in higher dimensions lead to Poisson resummation, allowing for a useful approximation formula of a Fourier transform in terms of a limited number of terms. A connection with the Bochner theorem on positive definiteness of Fourier-positive functions is discussed. As a practical application, we find simple and rapid analytic algorithms for checking Fourier-positivity in 1- and (radial) 2-dimensions among a large variety of real positive functions. This may provide a step towards a classification of positive positive-definite functions.
Relative Infrared (IR) and Terahertz (THz) Signatures of Common Explosives
Sharpe, Steven W.; Johnson, Timothy J.; Sheen, David M.; Atkinson, David A.
2006-11-13
Pacific Northwest National Laboratory (PNNL) has recently recorded the infrared (IR) and far-infrared (sometimes called the terahertz, THz) spectral signatures of four common explosives, in the condensed phase. The signatures of RDX, PETN, TNT and Tetryl were recorded both in the infrared and the THz domains, using Fourier transform infrared (FTIR) spectroscopy. Samples consisted of thin films and were made by depositing and subsequent evaporation of an acetone-explosive mixture. The complete spectrum spanned the range from 4,000 to 8 cm-1 at 2.0 cm-1 spectral resolution. Preliminary results in the infrared agree with those of previous workers, while the THz signatures are one order of magnitude weaker than the strongest IR bands.
Hackel, L.A.; Hermann, M.R.; Dane, C.B.; Tiszauer, D.H.
1995-12-12
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.
Hackel, Lloyd A. (Livermore, CA); Hermann, Mark R. (San Ramon, CA); Dane, C. Brent (Livermore, CA); Tiszauer, Detlev H. (Tracy, CA)
1995-01-01
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.
Wehlau, David
Math 421 Fourier Series Autumn 2006 Text: Fourier Series, by Rajendra Bhatia, Math. Assoc. of America, 2005. Topics Covered: Ch. 1, Fourier series and the heat equation Ch. 2, Convergence of Fourier series Ch. 3, Sine and cosine series, arbitrary pe- riods, sin(x)/x, Gibbs's phenomenon Ch. 4
Fourier-Based Spectral Analysis with Adaptive Resolution
Andrey Khilko
2008-06-04
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.
Design and implementation of a rapid-mixer flow cell for time-resolved infrared microspectroscopy
Marinkovic, Nebojsa S.; Adzic, Aleksandar R.; Sullivan, Michael; Kovacs, Kevin; Miller, Lisa M.; Rousseau, Denis L.; Yeh, Syun-Ru; Chance, Mark R.
2000-11-01
A rapid mixer for the analysis of reactions in the millisecond and submillisecond time domains by Fourier-transform infrared microspectroscopy has been constructed. The cell was tested by examination of cytochrome-c folding kinetics. The device allows collection of full infrared spectral data on millisecond and faster time scales subsequent to chemical jump reaction initiation. The data quality is sufficiently good such that spectral fitting techniques could be applied to analysis of the data. Thus, this method provides an advantage over kinetic measurements at single wavelengths using infrared laser or diode sources, particularly where band overlap exists.
Tang, Yinjie; Pingitore, Francesco; Mukhopadhyay, Aindrila; Phan,Richard; Hazen, Terry C.; Keasling, Jay D.
2006-07-11
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.
THE FOURIER ENTROPY-INFLUENCE CONJECTURE HOLDS FOR A LOGDENSITY 1 CLASS OF CRYPTOGRAPHIC
International Association for Cryptologic Research (IACR)
THE FOURIER ENTROPY-INFLUENCE CONJECTURE HOLDS FOR A LOGDENSITY 1 CLASS OF CRYPTOGRAPHIC BOOLEAN FUNCTIONS SUGATA GANGOPADHYAY AND PANTELIMON STANICA Abstract. We consider the Fourier Entropy . The algebraic degree of f is deg(f) = max aFn 2 {wt(a) : µa = 0}. The Fourier transform or the Fourier
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
Formula sheet ——————————————————— Fourier ...
2015-04-28
Formula sheet. ———————————————————. Fourier series: For a 2L-periodic function f(x), the Fourier series for f is a0. 2. +. ?. ? n=1 an cos n?x.
Fourier Analysis of the BTZ Black Hole
Ian M. Tolfree
2009-11-11
In this paper we extend our previous work regarding the role of the Fourier transformation in bulk to boundary mappings to include the BTZ black hole. We follow standard procedures for modifying Fourier Transformations to accommodate quotient spaces and arrive at a bulk to boundary mapping in a black hole background. We show that this mapping is consistent with known results and lends a new insight into the AdS/CFT duality. We find that the micro-states corresponding to the entropy of a bulk scalar field are the Fourier coefficients on the boundary, which transform under the principal series representation of $SL(2,R)$. Building upon this we present a toy model to analyze the implications of this for the origin of black hole entropy. We find that the black hole micro-states live on the boundary and correspond to the possible emission modes of the black hole
Fourier-space generation of abruptly autofocusing beams and optical bottle beams
Chen, Zhigang
Fourier-space generation of abruptly autofocusing beams and optical bottle beams Ioannis Chremmos,1) Airy beam can be generated by Fourier-transforming an appropriately apodized Bessel beam whose radial distance of the Fourier- transforming lens, it is possible to generate AAF beams with one or two foci
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
140 GHz pulsed Fourier transform microwave spectrometer
Kolbe, W.F.; Leskovar, B.
1985-07-29
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, William F. (Oakland, CA); Leskovar, Branko (Moraga, CA)
1987-01-01
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).
140 GHz pulsed Fourier transform microwave spectrometer
Kolbe, W.F.; Leskovar, B.
1987-10-27
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.
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
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 ...
Multi-reference Fourier Transform Holography
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantityBonneville Power Administration wouldMass map shines light on77 PAGEMissionStressMove dataKiel ingMulti-StageExtremeStÃ¶hr
Introduction to Fourier Series
2014-10-15
Oct 15, 2014 ... The Basics. Fourier series ... period L. Sine and cosine are the most “basic” periodic functions! .... So just sit back, relax, and enjoy the ride!
Infrared spectroscopic signatures of (NH4)2SO4 aerosols
Weis, David D.; Ewing, George E.
1996-08-20
- ____ _ 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...
A NOTE ON FOURIER RESTRICTION FOR CURVES IN R 3 Jong-Guk Bak Daniel M. Oberlin
A NOTE ON FOURIER RESTRICTION FOR CURVES IN R 3 Jong-Guk Bak Daniel M. Oberlin Abstract. We obtain estimates for restriction of the Fourier transform to certain curves in R 3 . The purpose of this note is to prove the following restriction theorem for the Fourier transform in R 3 : Theorem. Suppose y(t) and z
Fourier series and periodicity
Donal F. Connon
2014-12-07
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.
FOURIER PAIRS OF DISCRETE SUPPORT WITH LITTLE STRUCTURE MIHAIL N. KOLOUNTZAKIS
Kolountzakis, Mihalis
FOURIER PAIRS OF DISCRETE SUPPORT WITH LITTLE STRUCTURE MIHAIL N. KOLOUNTZAKIS Abstract. We give line of discrete support, whose Fourier Transform is also a measure of discrete support, yet this Fourier pair cannot be constructed by repeatedly applying the Poisson Summation Formula finitely many
Tutorial on Fourier Theory 1 Introduction: Why Fourier?
Masci, Frank
Tutorial on Fourier Theory Yerin Yoo March 2001 1 Introduction: Why Fourier? During the preparation to the Fourier Theory. Most of those describe some formulas and algorithms, but one can easily be lost into a different domain called the frequency space. A fellow called Joseph Fourier first came up with the idea
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
Anlush Fourier Olokl rwma Lebesgue
Giannopoulos, Apostolos
Anlush Fourier kai Olokl rwma Lebesgue Prìqeirec Shmei¸seic Tm ma Majhmatik¸n Panepist mio Ajhn¸n Aj na, 2012 #12;#12;Perieqìmena I Anlush Fourier 1 1 3 1.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2 Fourier 21 2.1 . . . . . . . . . . . . . . . . . . . . . . . 21 2.2 Fourier
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)
2014-09-14
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.
1993-07-01
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.
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
Fourier relationship between angular position and optical orbital angular momentum
Eric Yao; Sonja Franke-Arnold; Johannes Courtial; Stephen Barnett; Miles Padgett
2006-06-15
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.
Fourier Slice Photography Stanford University
Stanford University
Fourier Slice Photography Ren Ng Stanford University Abstract This paper contributes to the theory of photograph formation from light fields. The main result is a theorem that, in the Fourier do- main- rectional resolution. Second, the theorem yields a Fourier-domain algorithm for digital refocusing, where we
On the Relative Utility of Infrared (IR) versus Terahertz (THz) for Optical Sensors
Johnson, Timothy J.; Valentine, Nancy B.; Gassman, Paul L.; Atkinson, David A.; Sharpe, Steven W.; Williams, Stephen D.
2007-11-30
Pacific Northwest National Laboratory (PNNL) has active programs investigating the optical absorption strengths of several types of molecules including toxic industrial chemicals (TICs), microbiological threats such as bacteria, as well as explosives such as RDX, PETN and TNT. While most of our work has centered on the mid-infrared domain (600 to 6,500 cm-1), more recent work has also included work in the far-infrared, also called the terahertz (THz) region (500 to ~8 cm-1). Using Fourier transform infrared spectroscopy, we have been able to compare the relative, and in some cases absolute, IR/THz cross sections of a number of species in the solid and liquid phases. The relative band strengths of a number of species of interest are discussed in terms of both experimental and computational results.
Low temperature optical characterization of near infrared single photon emitter in nanodiamonds
Siyushev, P; Aharonovich, I; Kaiser, F; Müller, T; Lombez, L; Atatüre, M; Castelletto, S; Prawer, S; Jelezko, F; Wrachtrup, J
2009-01-01
In this paper, we study the optical properties of single defects emitting in the near infrared in nanodiamonds at liquid helium temperature. The nanodiamonds are synthesized using a microwave chemical vapor deposition method followed by nickel implantation and annealing. We show that single defects exhibit several striking features at cryogenic temperature: the photoluminescence is strongly concentrated into a sharp zero-phonon line in the near infrared, the radiative lifetime is in the nanosecond range and the emission is perfectly linearly polarized. The spectral stability of the defects is then investigated. An optical resonance linewidth of 4 GHz is measured using resonant excitation on the zero-phonon line. Although Fourier-transform limited emission is not achieved, our results show that it might be possible to use consecutive photons emitted in the near infrared by single defects in diamond nanocrystals to perform two photon interference experiments, which are at the heart of linear quantum computing p...
Low temperature optical characterization of near infrared single photon emitters in nanodiamonds
P. Siyushev; V. Jacques; I. Aharonovich; F. Kaiser; T. Muller; L. Lombez; M. Atature; S. Castelletto; S. Prawer; F. Jelezko; J. Wrachtrup
2009-11-18
In this paper, we study the optical properties of single defects emitting in the near infrared in nanodiamonds at liquid helium temperature. The nanodiamonds are synthesized using a microwave chemical vapor deposition method followed by nickel implantation and annealing. We show that single defects exhibit several striking features at cryogenic temperature: the photoluminescence is strongly concentrated into a sharp zero-phonon line in the near infrared, the radiative lifetime is in the nanosecond range and the emission is perfectly linearly polarized. The spectral stability of the defects is then investigated. An optical resonance linewidth of 4 GHz is measured using resonant excitation on the zero-phonon line. Although Fourier-transform limited emission is not achieved, our results show that it might be possible to use consecutive photons emitted in the near infrared by single defects in diamond nanocrystals to perform two photon interference experiments, which are at the heart of linear quantum computing protocols.
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
Walsworth, Ronald L.
1 Fourier Magnetic Imaging with Nanoscale Resolution and Compressed Sensing Speed-up using imaging.12 Here we introduce an alternative technique of Fourier magnetic imaging using NV Fourier transform to yield real-space images with nanoscale resolution, wide field-of-view (FOV
Fourier Analytic Approach to Phase Estimation
Hiroshi Imai; Masahito Hayashi
2008-10-31
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.
1996-04-01
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.
Basic Fourier Series Academic Resource Center
Heller, Barbara
Basic Fourier Series Academic Resource Center Workshop for BME by: Neha Bansal #12;Agenda · Fourier Series · Trigonometric Fourier Series · Compact Trigonometric Fourier Series · Examples o Square Waves o Sawtooth Waves · References #12;Fourier Series · A periodic function f(t) can be represented by an infinite
Shaka', Huda; Robertson, W H; Finlayson-Pitts, Barbara J
2007-01-01
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
Orthogonal fast spherical Bessel transform on uniform grid
Serov, Vladislav V
2015-01-01
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.
The Fourier integral and its use in the solution of certain boundary value problems
McNutt, Wayne Eugene
1952-01-01
. & . 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...
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.
2014-11-19
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
Physics 326 Lab 7 8/31/14 Fourier analysis and Synthesis
Gustafsson, Torgny
Transform (FFT) was discovered by Cooley and Tukey in 1965. We will use a device called a Spectrum Analyzer, SR 760 FFT Spectrum Analyzer, GPIB cable Ex to ( ) ( ) ( ) 2* = . This is called the Power Spectrum Density (PSD) of ( )F t . The Fourier transform
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
Fast Discrete Curvelet Transforms Emmanuel Cand`es
Demanet, Laurent
and three dimensions. The first digital transformation is based on unequally-spaced fast Fourier transforms and angle. Both digital transformations return a table of digital curvelet coefficients indexed by a scale invertible, with rapid inversion algorithms of about the same complexity. Our digital transformations improve
Wavelet transform techniques and signal analysis
Perez, R.B.; Mattingly, J.K. Tennessee Univ., Knoxville, TN . Dept. of Nuclear Engineering); Perez, J.S. . Facultad de Informatica)
1993-01-01
Traditionally, the most widely used signal analysis tool is the Fourier transform which, by producing power spectral densities (PSDs), allows time dependent signals to be studied in the frequency domain. However, the Fourier transform is global -- it extends over the entire time domain -- which makes it ill-suited to study nonstationary signals which exhibit local temporal changes in the signal's frequency content. To analyze nonstationary signals, the family of transforms commonly designated as short-time Fourier transforms (STFTs), capable of identifying temporally localized changes in the signal's frequency content, were developed by employing window functions to isolate temporal regions of the signal. For example, the Gabor STFT uses a Gaussian window. However, the applicability of STFTs is limited by various inadequacies. The Wavelet transform (NW), recently developed by Grossman and Morlet and explored in depth by Daubechies (2) and Mallat, remedies the inadequacies of STFTs. Like the Fourier transform, the WT can be implemented as a discrete transform (DWT) or as a continuous (integral) transform (CWT). This paper briefly illustrates some of the potential applications of the wavelet transform algorithms to signal analysis.
Wavelet transform techniques and signal analysis
Perez, R.B.; Mattingly, J.K. |; Perez, J.S.
1993-03-01
Traditionally, the most widely used signal analysis tool is the Fourier transform which, by producing power spectral densities (PSDs), allows time dependent signals to be studied in the frequency domain. However, the Fourier transform is global -- it extends over the entire time domain -- which makes it ill-suited to study nonstationary signals which exhibit local temporal changes in the signal`s frequency content. To analyze nonstationary signals, the family of transforms commonly designated as short-time Fourier transforms (STFTs), capable of identifying temporally localized changes in the signal`s frequency content, were developed by employing window functions to isolate temporal regions of the signal. For example, the Gabor STFT uses a Gaussian window. However, the applicability of STFTs is limited by various inadequacies. The Wavelet transform (NW), recently developed by Grossman and Morlet and explored in depth by Daubechies (2) and Mallat, remedies the inadequacies of STFTs. Like the Fourier transform, the WT can be implemented as a discrete transform (DWT) or as a continuous (integral) transform (CWT). This paper briefly illustrates some of the potential applications of the wavelet transform algorithms to signal analysis.
Fourier's Law from Closure Equations
Jean Bricmont; Antti Kupiainen
2006-09-01
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.
Fourier Analysis of Ghost Imaging
Honglin Liu; Jing Cheng; Yanfeng Bai; Shensheng Han
2006-09-28
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
Martin Luu; Albert Schwarz
2015-04-07
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-Mukai transforms and stability conditions on abelian threefolds
Piyaratne, Hathurusinghege Dulip Bandara
2014-11-27
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 ...
Fourier transform of a Bessel function multiplied by a Gaussian
Michael Carley
2013-10-30
An analytical result is given for the exact evaluation of an integral which arises in the analysis of acoustic radiation from wave packet sources: $ I_{mn}(\\beta,q) = \\int_{-\\infty}^{\\infty} e^{-\\beta^{2}x^{2}-i q x}x^{m+1/2}J_{n+1/2}(x) \\,d x, $ where $m$ and $n$ are non-negative integers, and $J_{n+1/2}(\\cdot)$ is a Bessel function of order $n+1/2$.
Compact hot-nozzle fourier-transform microwave spectormeter
Harmony, Marlin D.; Ratzlaff, Kenneth L.; Angst, D. M.; Beren, K. A.
1995-11-01
isotopomers in ground and excited vibrational states, ArOCS complexes, and chloroketene, a reactive intermediate formed by pyrolysis of chloroacetylchloride. (C) 1995 American Institute of Physics....
Cavity QED implementation of the discrete quantum Fourier transform
Scully, Marlan O.; Zubairy, M. Suhail
2002-01-01
&, and is discarded. For the second atom, labeled as ??1,?? the applied magnetic 3 Atomic, Molecular, and Optical Physics, edited by D. R. Bates and B. Bederson ~Academic, New York, 1985!, Vol. 20, p. 350; K. An, J. J. Childs, R. R. Dasari, and M. S. Feld, Phys...
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: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantityBonneville Power Administration wouldMass map shines light on77 PAGEMissionStressMove dataKiel7Multimodalof One Multiple
Roberts, C.C. Jr.
1982-12-01
Infrared thermography is a useful tool for the diagnosis of problems in building systems. In instances where a building owner has several large buildings, an investment in a typical $30,000 infrared system may be cost effective. In most instances, however, the rental of an infrared system or the hiring of an infrared consulting service is a cost effective alternative. As can be seen from the several applications presented here, any mechanical problem manifesting itself in an atypical temperature pattern can usually be detected. The two primary savings generated from infrared analysis of building systems are maintenance and energy.
Fourier Sampling Coset States of Nonabelian Groups
Hallgren, Sean
55 Chapter 6 Fourier Sampling Coset States of Nonabelian Groups In this chapter we analyze the HSP problem, to the HSP over the symmetric group S n . In particular, we will analyze Fourier sampling coset states when the group is nonabelian. We show that Fourier sampling a polynomial number of coset states
Fourier Duality as a Quantization Principle \\Lambda
Fourier Duality as a Quantization Principle \\Lambda R. Aldrovandi y and L.A. Saeger z Instituto deWigner 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
Serie e trasformate di Fourier (1) Verificare i seguenti sviluppi in serie di Fourier
Presilla, Carlo
F12 Serie e trasformate di Fourier (1) Verificare i seguenti sviluppi in serie di Fourier (a) sgn . (2) Sviluppare in serie trigonometrica di Fourier nell'intervallo [-, ] la funzione f(x) = ex . Dimostrare che n=1 1 1 + n2 = 1 2 coth - 1 (3) Sviluppare in serie trigonometrica di Fourier nell
Non-Fourier Motion in The Fourier Spectrum Steven S. Beauchemin
Beauchemin, Steven S.
Non-Fourier Motion in The Fourier Spectrum Steven S. Beauchemin GRASP Laboratory Department, image motion analysis in the fre- quency domain is performed according to the Motion From Fourier Coe- Fourier motion. This type of motion includes phenom- ena relevant to motion analysis such as translucency
Fourier--Bessel functions of singular continuous measures and their many asymptotics
giorgio mantica
2006-03-27
We study the Fourier transform of polynomials in an orthogonal family, taken with respect to the orthogonality measure. Mastering the asymptotic properties of these transforms, that we call Fourier--Bessel functions, in the argument, the order, and in certain combinations of the two is required to solve a number of problems arising in quantum mechanics. We present known results, new approaches and open conjectures, hoping to justify our belief that the importance of these investigations extends beyond the application just mentioned, and may involve interesting discoveries.
Fourier analysis of wave turbulence in a thin elastic plate
Nicolas Mordant
2010-06-18
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.
Can There Be a General Theory of Fourier Integral Operators?
2012-06-21
Jun 21, 2012 ... Standard Fourier Integral Operator Theory. •Fourier integral (Lagrangian) distributions and symbol calculus. •FIOs: ops whose Schwartz kernels ...
A. V. Pavlov-Maxorin
2014-10-19
In article a new class of the odd ore even transforms of Laplace is presented. The class leads to some unforeseeable consequences in direction of the Fourier transforms.The potential of Newton as one of the form of the double Laplace transform is considered too.
Projection and Galaxy Clustering Fourier Spectra
J. N. Fry; David Thomas
1999-09-13
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.
November 14, 2013 u(t) Fourier F Fourier F-1
Nishida, Kiwamu
November 14, 2013 1 Fourier u(t) Fourier F Fourier F-1 Fourier ~u(f) F(u) = - u(t)e-i2f dt, (1), · Parseval : - u(t)2 dt = - ~u(f)2 df, · Fourier : F(u v) = ~u~v, · Cross spectrum C(u, v; f) = F() = ~u Figure 4: m d2 (x + u) dt2 = - dx dt - kx(t). (14) Fourier ~x(f) = 2 -2 + 2h0i + 2 0 ~u(f) (15) 5 #12;2 0
The domain of the Fourier integral
V. N. Tibabishev
2011-02-19
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.
SAR image formation with azimuth interpolation after azimuth transform
Doerry; Armin W. (Albuquerque, NM), Martin; Grant D. (Marlborough, MA), Holzrichter; Michael W. (Albuquerque, NM)
2008-07-08
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.
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)
2013-02-04
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.
MARTINGALES AND SHARP BOUNDS FOR FOURIER ...
2011-09-22
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, ...
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)
2014-07-07
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.
FOURIER ANALYSIS OF EXTENDED FINE STRUCTURE WITH AUTOREGRESSIVE PREDICTION
Barton, J.
2008-01-01
~ 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
Mignotte, Max
(b) TransformÃ©e de Hough (Espace (s, #)) (c) Principales lignes reconstruites 5 #12; TRANSFORMÃ?E DE
Not Available
2008-09-01
Summarizes the goals and activities of the DOE Solar Energy Technologies Program efforts within its market transformation subprogram.
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
Fourier restriction phenomenon in thin sets
Papadimitropoulos, Christos
2010-01-01
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
2010-10-12
, such savings in computational cost impart benefits over more commonly used polynomial-based methods. Moreover, regardless of the dimensionality of the problem, modified Fourier methods lead to well-conditioned matrices and corresponding linear systems that can...
Jorge L. deLyra
2015-03-24
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.
Hierlemann, A.; Hill, M.; Ricco, A.J.; Staton, A.W.; Thomas, R.C.
1999-01-11
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.
Krishna, Sanjay (Albuquerque, NM); Hayat, Majeed M. (Albuquerque, NM); Tyo, J. Scott (Tucson, AZ); Jang, Woo-Yong (Albuquerque, NM)
2011-12-06
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.
2011-02-15
This Fuel Cell Technologies Program fact sheet outlines current status and challenges in the market transformation of hydrogen and fuel cell technologies.
Fuel Cell Technologies Publication and Product Library (EERE)
This Fuel Cell Technologies Program fact sheet outlines current status and challenges in the market transformation of hydrogen and fuel cell technologies.
May, J. Peter
APPLICATIONS OF FOURIER ANALYSIS TO NON-ANALYTIC FIELDS KEVIN QIAN Abstract. Fourier analysis, a classical topic in analysis, can be applied to many nonanalytic fields. This paper explores Fourier analysis in multiple do- mains in order to prove several nonanalytic results. Fourier analysis will be explored
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrdinger equation
Ferguson, Thomas S.
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the SchrÃ¶dinger beam FBI transform Reinitialization SchrÃ¶dinger Backward phase flow a b s t r a c t We propose the backward phase flow method to implement the FourierÂBrosÂIagolnitzer (FBI)-transform-based Eulerian
Miller, David A. B.
Compact standing-wave transform spectrometer based on integrated MEMS mirror and thin an integrated standing-wave Fourier-transform spectrometer, 17 × 13 × 2 mm, with 32 nm spectral resolution spectrometer, based on the 1-D standing-wave transform spectrometer architecture [1], with an integrated
Fourier's Law for a Granular Fluid
James W. Dufty
2007-07-07
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
2015-05-04
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.
Properties of Some Integral Transforms Arising in Tomography
Moon, Sunghwan
2013-10-11
, the inverse Fourier transform is f(x) = F?1fˆ(x) := 1 (2pi)n ? Rn fˆ(?)eix·?d?. The Plancherel theorem claims that for f, g ? L1(Rn) ? L2(Rn), one has ? Rn fˆ(?)gˆ(?)d? = 2pi ? Rn f(x)g(x)dx. (1.1) 2 The Fourier transform extends to a bijection from L2(Rn... function f with compact support in Bn, c(?, n)||f ||? ? ||Rf ||?+(n?1)/2 ? C(?, n)||f ||?, (1.4) 4 where ||f ||2? = ? Rn (1 + |?|2)?|fˆ(?)|2d? and ||g||2? = ? Sn?1 ? R (1 + ?2)?|gˆ(?, ?)|2d?d?, where gˆ is the Fourier transform of a function g on Sn?1 × R...
Miniature, high-speed imaging transform spectrometers and advanced sampling algorithms
Chen, Yi, Ph. D. Massachusetts Institute of Technology
2015-01-01
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 ...
Offenhuber, Dietmar
2008-01-01
The ability to create an unlimited number of identical copies is a privilege of digital documents. What if that would not be the case, if each copy of a digital file would go along with some sort of transformation? This ...
Harmonic oscillator: an analysis via Fourier series
A. S. de Castro
2013-09-30
The Fourier series method is used to solve the homogeneous equation governing the motion of the harmonic oscillator. It is shown that the general solution to the problem can be found in a surprisingly simple way for the case of the simple harmonic oscillator. It is also shown that the damped harmonic oscillator is susceptible to the analysis.
Fourier Coefficients Of Some Cusp Forms
N. A. Carella
2013-10-10
The possible values of the nth Fourier coefficients a(n) of some cusp forms f(z) of weight k => 12 are studied in this article. In particular, the values of the tau function are investigated in some details, and proved that tau(p) =! 0 for all primes p => p_0.
Khosrow Chadan
2007-06-27
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.
Stieltjes Integral Theorem and The Hilbert Transform
Luisiana Xavier Cundin; Norman Barsalou
2011-05-20
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.
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
2008-05-27
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.
Long-range Fourier domain optical coherence tomography of the pediatric subglottis
2015-01-01
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's Law for a Harmonic Crystal with Selfconsistent Stochastic Reservoirs
Roma "La Sapienza", Università di
Fourier's Law for a Harmonic Crystal with Selfconsistent Stochastic Reservoirs Federico Bonetto. The corresponding heat cur rent satisfies Fourier's law with a finite positive thermal conductivity which can also words: Fourier's law; harmonic crystal; nonequilibrium systems; ther modynamic limit; Green
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
Turbulence on a Fractal Fourier set
Alessandra Sabina Lanotte; Roberto Benzi; Luca Biferale; Shiva Kumar Malapaka; Federico Toschi
2015-05-29
The dynamical effects of mode reduction in Fourier space for three dimensional turbulent flows is studied. We present fully resolved numerical simulations of the Navier-Stokes equations with Fourier modes constrained to live on a fractal set of dimension D. The robustness of the energy cascade and vortex stretching mechanisms are tested at changing D, from the standard three dimensional case to a strongly decimated case for D = 2.5, where only about $3\\%$ of the Fourier modes interact. While the direct energy cascade persist, deviations from the Kolmogorov scaling are observed in the kinetic energy spectra. A model in terms of a correction with a linear dependency on the co-dimension of the fractal set, $E(k)\\sim k^{- 5/3 + 3 -D }$, explains the results. At small scales, the intermittent behaviour due to the vorticity production is strongly modified by the fractal decimation, leading to an almost Gaussian statistics already at D ~ 2.98. These effects are connected to a genuine modification in the triad-to-triad nonlinear energy transfer mechanism.
Darboux transformation for the NLS equation
Aktosun, Tuncay; Mee, Cornelis van der
2010-03-08
We analyze a certain class of integral equations associated with Marchenko equations and Gel'fand-Levitan equations. Such integral equations arise through a Fourier transformation on various ordinary differential equations involving a spectral parameter. When the integral operator is perturbed by a finite-rank perturbation, we explicitly evaluate the change in the solution in terms of the unperturbed quantities and the finite-rank perturbation. We show that this result provides a fundamental approach to derive Darboux transformations for various systems of ordinary differential operators. We illustrate our theory by providing the explicit Darboux transformation for the Zakharov-Shabat system and show how the potential and wave function change when a simple discrete eigenvalue is added to the spectrum, and thus we also provide a one-parameter family of Darboux transformations for the nonlinear Schroedinger equation.
Methods for performing fast discrete curvelet transforms of data
Candes, Emmanuel (Los Angeles, CA); Donoho, David (Setauket, NY); Demanet, Laurent (Pasadena, CA)
2010-11-23
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.
Tracking Living Cells as They Differentiate in Real Time
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
or foreign bodies that may alter their behavior, scientists used a method called Fourier-transform infrared (FTIR) spectromicroscopy. Because infrared light has lower photon...
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
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
THE FOURIERSERIES METHOD FOR INVERTING TRANSFORMS OF PROBABILITY DISTRIBUTIONS
Whitt, Ward
Ward Whitt 900 Hammond Road AT&T Bell Laboratories Ridgewood, NJ 074502908 Room 2C178 Murray Hill, NJ; THE FOURIERSERIES METHOD FOR INVERTING TRANSFORMS OF PROBABILITY DISTRIBUTIONS by Joseph Abate Ward Whitt 900 Hammond Road AT&T Bell Laboratories Ridgewood, NJ 074502908 Room 2C178 Murray Hill, NJ 07974
Fourier analysis of luminosity-dependent galaxy clustering
Will J. Percival; Licia Verde; John A. Peacock
2003-09-25
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.
El Bedewi, A.; El Anany, G; El Mofty, M; Kretlow, A; Park, S; Miller, L
2010-01-01
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.
Smith, H E
2002-01-01
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.
Harding E. Smith
2002-03-06
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.
Fourier phase analysis in radio-interferometry
Francois Levrier; Edith Falgarone; Francois Viallefond
2006-06-09
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.
Infrared Inspection Techniques
Hill, A. B.; Bevers, D. V.
1979-01-01
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...
Ramos, I C
2015-01-01
We present the adaptation to non--free boundary conditions of a pseudospectral method based on the (complex) Fourier transform. The method is applied to the numerical integration of the Oberbeck--Boussinesq equations in a Rayleigh--B\\'enard cell with no-slip boundary conditions for velocity and Dirichlet boundary conditions for temperature. We show the first results of a 2D numerical simulation of dry air convection at high Rayleigh number ($R\\sim10^9$). These results are the basis for the later study, by the same method, of wet convection in a solar still.
Fourier analysis of the flux-tube distribution in SU(3) lattice QCD
Arata Yamamoto
2010-04-16
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.
Grun, R. L. Jr.
1989-01-01
This paper outlines how to determine what transformer losses cost and how to evaluate transformer bids to optimize the investment....
A Note on Fourier and the Greenhouse Effect
Postma, Joseph E
2015-01-01
Joseph Fourier's discovery of the greenhouse effect is discussed and is compared to the modern conception of the greenhouse effect. It is confirmed that what Fourier discovered is analogous to the modern concept of the greenhouse effect. However, the modern concept of the greenhouse effect is found to be based on a paradoxical analogy to Fourier's greenhouse work and so either Fourier's greenhouse work, the modern conception of the greenhouse effect, or the modern definition of heat is incorrect. The solution to this problem is not feigned to be given here.
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.
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
Harman, Mark
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
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)
2014-07-14
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)).
Detection of variable frequency signals using a fast chirp transform
F. A. Jenet; T. A. Prince
2000-12-07
The detection of signals with varying frequency is important in many areas of physics and astrophysics. The current work was motivated by a desire to detect gravitational waves from the binary inspiral of neutron stars and black holes, a topic of significant interest for the new generation of interferometric gravitational wave detectors such as LIGO. However, this work has significant generality beyond gravitational wave signal detection. We define a Fast Chirp Transform (FCT) analogous to the Fast Fourier Transform (FFT). Use of the FCT provides a simple and powerful formalism for detection of signals with variable frequency just as Fourier transform techniques provide a formalism for the detection of signals of constant frequency. In particular, use of the FCT can alleviate the requirement of generating complicated families of filter functions typically required in the conventional matched filtering process. We briefly discuss the application of the FCT to several signal detection problems of current interest.
Generalized discrete orbit function transforms of affine Weyl groups
Tomasz Czy?ycki; Ji?í Hrivnák
2014-11-14
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.
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
PARALLEL PROCESSING: A RELATIONSHIP BETWEEN RETINAL AND FOURIER OPTICS TECHNIQUES
Moore, John Barratt
PARALLEL PROCESSING: A RELATIONSHIP BETWEEN RETINAL AND FOURIER OPTICS TECHNIQUES by D,J.H. Moore P #12;ABSTIbiCT Two methods of describing and processing visual data by replacing the pattern a retinal-machine approach. Modifications are suggested for the Fourier-optics approach which greatly
Direct-to-digital holography reduction of reference hologram noise and fourier space smearing
Voelkl, Edgar
2006-06-27
Systems and methods are described for reduction of reference hologram noise and reduction of Fourier space smearing, especially in the context of direct-to-digital holography (off-axis interferometry). A method of reducing reference hologram noise includes: recording a plurality of reference holograms; processing the plurality of reference holograms into a corresponding plurality of reference image waves; and transforming the corresponding plurality of reference image waves into a reduced noise reference image wave. A method of reducing smearing in Fourier space includes: recording a plurality of reference holograms; processing the plurality of reference holograms into a corresponding plurality of reference complex image waves; transforming the corresponding plurality of reference image waves into a reduced noise reference complex image wave; recording a hologram of an object; processing the hologram of the object into an object complex image wave; and dividing the complex image wave of the object by the reduced noise reference complex image wave to obtain a reduced smearing object complex image wave.
Fourier Methods for Harmonic Scalar Waves in General Waveguides
Anders Andersson; Borje Nilsson; Thomas Biro
2015-06-01
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 Fourierinspired methods. New directions in Fourier
Infrared microscope inspection apparatus
Forman, S.E.; Caunt, J.W.
1985-02-26
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.
Infrared microscope inspection apparatus
Forman, Steven E. (Framingham, MA); Caunt, James W. (Concord, MA)
1985-02-26
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.
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
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
Two-lens, anamorphic, Brewster-angle, Fourier-transform relay
Berggren, R.R.
1987-01-01
A two-lens system provides a simple and versatile means to relay a laser beam. The pair of lenses can provide true volume imaging, reproducing both amplitude and phase of the input beam. By using cylindrical lenses it is possible to change the aspect ratio of the beam. By adjusting the cylindrical curvatures, it is possible to minimize reflections by tilting the lenses at the Brewster angle.
Quantum fast Fourier transform using multilevel atoms ASHOK MUTHUKRISHNAN and C. R. STROUD, JR.
Stroud Jr., Carlos R.
. The Institute of Optics, University of Rochester, Rochester, New York 14627, USA; e-mail: amuthuk occurs naturally in the unitary time evolution of energy eigenstates and is used to de®ne an alternative wave-packet basis for quantum information in the atom. A change of basis from energy levels to wave
Bricker, Donald Lee
1986-01-01
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...
Fourier Transform Methods of Deconvolving Scintigrams Using a General Purpose Digital Computer
Boardman, A. Keith
1978-01-01
The adaptation of a general purpose laboratory minicomputer for nuclear medicine imaging is described. Electronic interfaces have been designed and constructed to link nucleonic equipment to a PDP 12 computer. A computer ...
for reliable and safe system operation and is a prerequisite for widespread adoption of PV generation systems Abstract -- Arc faults are a significant reliability and safety concern for photovoltaic (PV) systems is that arc faults in the PV systems do not happen predictably, and depending on the location of the sensors
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
Wyss, Hans
stabilized dense silica suspensions, which are destabilized by ionic strength or pH shift initiated by an in. This system consists of electrostatically stabilized silica spheres in aqueous suspension. AggregationColloidal Systems with Attractive Interactions: Evaluation of Scattering Data Using the Generalized
Discrete Fourier Transform Compiler for FPGA and CPU/FPGA Partitioned Implementations
Franchetti, Franz
Engineering Carnegie Mellon University Introduction HW/SW partitioned implementations promise to offer the best of both worlds--the performance and ef- ficiency of HW and the flexibility of SW. This remains automatically high-quality HW only and HW/SW partitioned implementations. Generating DFT IP blocks Approach
Sandia Energy - Solar Market Transformation
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Solar Market Transformation Home Stationary Power Energy Conversion Efficiency Solar Energy Photovoltaics Solar Market Transformation Solar Market TransformationTara...
Candan, Cagatay
-order optical systems [2][6]. Therefore, the accurate and efficient digital computation of these transforms.kutay@iltaren.tubitak.gov.tr). Digital Object Identifier 10.1109/TSP.2007.912890 tional Fourier transforms [10], and MoshinskyIEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 56, NO. 6, JUNE 2008 2383 Digital Computation
Alternative Fourier-series approach to nonlinear oscillations
Francisco M. Fernández
2009-10-12
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.
Perfect NOT transformation and conjugate transformation
Fengli Yan; Ting Gao; Zhichao Yan
2012-03-15
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.
Diffractive optical elements for transformation of modes in lasers
Sridharan, Arun K.; Pax, Paul H.; Heebner, John E.; Drachenberg, Derrek R.; Armstrong, James P.; Dawson, Jay W.
2015-09-01
Spatial mode conversion modules are described, with the capability of efficiently transforming a given optical beam profile, at one plane in space into another well-defined optical beam profile at a different plane in space, whose detailed spatial features and symmetry properties can, in general, differ significantly. The modules are comprised of passive, high-efficiency, low-loss diffractive optical elements, combined with Fourier transform optics. Design rules are described that employ phase retrieval techniques and associated algorithms to determine the necessary profiles of the diffractive optical components. System augmentations are described that utilize real-time adaptive optical techniques for enhanced performance as well as power scaling.
Application of the Laplace transformation to the solution of the wave equation
Booton, Richard Crittenden
1948-01-01
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...
Measuring line-of-sight dependent Fourier-space clustering using FFTs
Bianchi, Davide; Ruggeri, Rossana; Percival, Will J
2015-01-01
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...
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)
2014-03-01
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.
Fourier analzis s fggvnysorok 3/1/0/v/5 Trgyfelel s: Kro Andrs
Ráth, Balázs
Fourier analízis és függvénysorok 3/1/0/v/5 Tárgyfelel s: Kroó András További oktatók: Horváth Miklós, Járai Antal, G. Horváth Ákosné A trigonometrikus rendszer teljessége. Fourier-sorok. A Parseval Fourier-transzformaciója. Laplace-transzformáció és alkalmazásai. Fourier-sorok konvergenciája, Dirichlet
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
Slepian, Zachary
2015-01-01
The anisotropic 2-point correlation function (2PCF) of galaxies measures pairwise clustering as a function of the pair separation's angle to the line of sight. The latter is often defined as either the angle bisector of the observer-galaxy-pair triangle or the vector from the observer to the separation midpoint. Here we show how to accelerate either of these measurements with Fourier Transforms, using a slight generalization of the Yamamoto et al. (2006) estimator in which each member of the pair is used successively as the line of sight. We also present perturbation theory predictions for our generalized estimator including wide-angle corrections.
On the ill-posed character of the Lorentz integral transform
W. Gloeckle; M. Schwamb
2009-02-06
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.
Catarino, Ana; Andrade, Alexandre; Churches, Owen; Wagner, Adam P; Baron-Cohen, Simon; Ring, Howard
2013-01-12
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...
Thompson, Christopher J.; Loring, John S.; Rosso, Kevin M.; Wang, Zheming
2013-10-01
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.
Metrics for enterprise transformation
Blackburn, Craig D. (Craig David), S. M. Massachusetts Institute of Technology
2009-01-01
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, ...
Fourier Analysis of the Parametric Resonance in Neutrino Oscillations
Masafumi Koike; Toshihiko Ota; Masako Saito; Joe Sato
2009-02-10
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.
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
Ott, L.
1994-11-15
The purpose of the Infrared Source Test (IRST) is to demonstrate the ability to track a ground target with an infrared sensor from an airplane. The system is being developed within the Advance Technology Program`s Theater Missile Defense/Unmanned Aerial Vehicle (UAV) section. The IRST payload consists of an Amber Radiance 1 infrared camera system, a computer, a gimbaled mirror, and a hard disk. The processor is a custom R3000 CPU board made by Risq Modular Systems, Inc. for LLNL. The board has ethernet, SCSI, parallel I/O, and serial ports, a DMA channel, a video (frame buffer) interface, and eight MBytes of main memory. The real-time operating system VxWorks has been ported to the processor. The application code is written in C on a host SUN 4 UNIX workstation. The IRST is the result of a combined effort by physicists, electrical and mechanical engineers, and computer scientists.
A mechanical model for Fourier's law of heat conduction
David Ruelle
2011-02-27
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.
Digitales Video 1 Spatial Transformations
spatial transformations derived for digital image warping applications in computer vision and computerDigitales Video 1 Spatial Transformations 2. SPATIAL TRANSFORMATIONS This chapter describes common graphics. A spatial transformation is a mapping function that establishes a spatial correspondence between
Real-Time Chemical Imaging of Bacterial Biofilm Development
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
that shapes biofilm development. This combination of synchrotron radiation-based Fourier transform infrared (SR-FTIR) spectromicroscopy and the microfluidic platform will...
Office of Environmental Management (EM)
From sketch to finished product - TIDS fabrication Analytical Instrumentation Specs A) Fourier Transform Infrared Spectrometer (FTIR) Tool: JASCO 4200 CIC Photonics 4Runner (6...
Tritium Instrument Demonstration Station (TIDS)
Office of Environmental Management (EM)
From sketch to finished product - TIDS fabrication Analytical Instrumentation Specs A) Fourier Transform Infrared Spectrometer (FTIR) Tool: JASCO 4200 CIC Photonics 4Runner (6...
Near infrared surfaceplasmonpolariton with hyperbolic metamaterials...
Office of Scientific and Technical Information (OSTI)
Near infrared surfaceplasmonpolariton with hyperbolic metamaterials. Citation Details In-Document Search Title: Near infrared surfaceplasmonpolariton with hyperbolic metamaterials....
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
Transforming Biomass - main page
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Transforming Biomass to Bioenergy Feedstocks The DOE Biomass Program has shaped the vision of a national, commodity-scale feedstock supply system. Much progress has been made in...
Wierzbicki, Julian J. (Peabody, MA); Chakrabarti, Kirti B. (Danvers, MA)
1987-09-22
An infrared floodlight assembly (10) including a cast aluminum outer housing (11) defining a central chamber (15) therein. A floodlight (14), having a tungsten halogen lamp as the light source, is spacedly positioned within a heat conducting member (43) within chamber (15) such that the floodlight is securedly positioned in an aligned manner relative to the assembly's filter (35) and lens (12) components. The invention also includes venting means (51) to allow air passage between the interior of the member (43) and the adjacent chamber (15), as well as engagement means (85) for engaging a rear surface of the floodlight (14) to retain it firmly against an internal flange of the member (43). A reflector (61), capable of being compressed to allow insertion or removal, is located within the heat conducting member's interior between the floodlight (14) and filter (35) to reflect infrared radiation toward the filter (35) and spaced lens (12).
Using Fourier Series to Model Hourly Energy Use in Commercial Buildings
Dhar, A.; Reddy, T. A.; Claridge, D. E.
1993-01-01
Fourier series analysis is eminently suitable for modeling strongly periodic data. Weather independent energy use such as lighting and equipment load in commercial buildings is strongly periodic and is thus appropriate for Fourier series treatment...
Fourier method in the determination of rotational velocities in OB stars
S. Simón-Díaz; A. Herrero
2007-03-09
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.
Transforming America's Energy Economy Transforming America's
Laboratory National Renewable Energy Laboratory Oak Ridge National Laboratory Pacific Northwest National #12;Transforming America's Energy Economy A. Introduction: A Call for Action B. Envisioning the Future of Energy B.1 Renewable and Low-Carbon Energy Sources for Electricity Production B.2 Energy
Menke, William
of the Fourier basis along the linear rays. The inversion (rayinvert.m) uses damped least squares (epsilon=10
Fourier law, phase transitions and the stationary Stefan problem
Anna De Masi; Errico Presutti; Dimitrios Tsagkarogiannis
2010-09-23
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
2005-11-07
We present a negative result regarding the hidden subgroup problem on the powers $G^n$ of a fixed group $G$. Under a condition on the base group $G$, we prove that strong Fourier sampling cannot distinguish some subgroups of $G^n$. Since strong sampling is in fact the optimal measurement on a coset state, this shows that we have no hope of efficiently solving the hidden subgroup problem over these groups with separable measurements on coset states (that is, using any polynomial number of single-register coset state experiments). Base groups satisfying our condition include all nonabelian simple groups. We apply our results to show that there exist uniform families of nilpotent groups whose normal series factors have constant size and yet are immune to strong Fourier sampling.
Fourier-based magnetic induction tomography for mapping resistivity
Puwal, Steffan; Roth, Bradley J. [Department of Physics, Oakland University, Rochester, Michigan 48309 (United States)
2011-01-01
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.
Physics of the Blues: Music, Fourier and Wave - Particle Duality
Gibson, J. Murray
2003-10-15
Art and science are intimately connected. There is probably no art that reveals this more than music. Music can be used as a tool to teach physics and engineering to non-scientists, illustrating such diverse concepts as Fourier analysis and quantum mechanics. This colloquium is aimed in reverse, to explain some interesting aspects of music to physicists. Topics include: What determines the frequency of notes on a musical scale? What is harmony and why would Fourier care? Where did the blues come from? (We' re talking the 'physics of the blues', and not 'the blues of physics' - that's another colloquium). Is there a musical particle? The presentation will be accompanied by live keyboard demonstrations. The presenter will attempt to draw tenuous connections between the subject of his talk and his day job as Director of the Advanced Photon Source at Argonne National Laboratory.
Sherman, S. Murray
Fourier Analysis of Sinusoidally Driven Thalamocortical Relay Neurons and a Minimal Integrate. Fourier analysis of sinusoidally driven thalamocortical relay neurons and a minimal integrate and burst firing modes to sinusoidal current injection and performed Fourier analysis on these responses
Biochemical transformation of coals
Lin, Mow S. (Rocky Point, NY); Premuzic, Eugene T. (East Moriches, NY)
1999-03-23
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.
Deployment & Market Transformation (Brochure)
Not Available
2012-04-01
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.
Exploring Functional Mellin Transforms
J. LaChapelle
2015-01-08
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.
Biochemical transformation of coals
Lin, M.S.; Premuzic, E.T.
1999-03-23
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.
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 sparsity, spectral norm, and the Log-rank conjecture Hing Yin Tsang*
Xie, Ning
Fourier sparsity, spectral norm, and the Log-rank conjecture Hing Yin Tsang* hytsang@cse.cuhk.edu.hk Abstract--We study Boolean functions with sparse Fourier spectrum or small spectral norm, and show for such functions is exactly the Fourier sparsity of f. Let d = deg2(f) be the F2-degree of f and DCC (f ) stand
Fast Fourier Analysis for SL 2 over a Finite Field and Related Numerical Experiments
Fast Fourier Analysis for SL 2 over a Finite Field and Related Numerical Experiments John D of Fourier Analysis 4. Implementing the Computation 5. Discussion of Numerical Results 6. Speculations and Open Problems 7. Appendix: Fourier Inversion and Convolution for SL 2 Acknowledgements References AMS
Fast Fourier Analysis for SL2 over a Finite Field and Related Numerical Experiments
Fast Fourier Analysis for SL2 over a Finite Field and Related Numerical Experiments John D of Fourier Analysis 4. Implementing the Computation 5. Discussion of Numerical Results 6. Speculations and Open Problems 7. Appendix: Fourier Inversion and Convolution for SL2 Acknowledgements References AMS
The Fourier EntropyInfluence Conjecture for certain classes of Boolean functions
O'Donnell, Ryan
The Fourier EntropyÂInfluence Conjecture for certain classes of Boolean functions Ryan O, Friedgut and Kalai made the Fourier EntropyÂInfluence Conjecture: For every Boolean function f : {-1, 1}n fellowships. #12;1 Introduction The field of Fourier analysis of Boolean functions f : {-1, 1}n {-1, 1} plays
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
Fourier-domain holographic optical coherence imaging of tumor spheroids and mouse eye
Nolte, David D.
Fourier-domain holographic optical coherence imaging of tumor spheroids and mouse eye Kwan Jeong, Leilei Peng, John J. Turek, Michael R. Melloch, and David D. Nolte Fourier-domain holography (FDH) has the hologram in the Fourier plane significantly reduces background arising from reference light scattered from
FOURIER-BASED METHOD FOR ESTIMATING SIGNAL PERTURBATIONS IN LINEARLY-CORRELATED NOISE
Gorodnitsky, Irina
1 FOURIER-BASED METHOD FOR ESTIMATING SIGNAL PERTURBATIONS IN LINEARLY-CORRELATED NOISE Irina the true signal )(tx from )(* tx . Let's denote the coefficients of the respective Fourier decomposition = = , where indicates the chosen frequency resolution of the Fourier decomposition. The DC-term exist, Eq. (2
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
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 ANALYTIC METHODS IN THE STUDY OF PROJECTIONS AND SECTIONS OF CONVEX BODIES
Ryabogin, Dmitry
FOURIER ANALYTIC METHODS IN THE STUDY OF PROJECTIONS AND SECTIONS OF CONVEX BODIES these mysterious connections. The idea is to use the recently developed Fourier analytic approach to sections approach to projections. The first results seem to be quite promising. The crucial role in the Fourier
Testing Fourier dimensionality and sparsity Parikshit Gopalan, Ryan O'Donnell, Rocco A. Servedio,
O'Donnell, Ryan
Testing Fourier dimensionality and sparsity Parikshit Gopalan, Ryan O'Donnell, Rocco A. Servedio functions that are defined in terms of the Fourier spectrum. Broadly speaking, our results show that the property of a Boolean function having a concise Fourier representation is locally testable. We first give
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 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
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
Localization of Fourier-Laplace Series of Distributions
Anvarjon Ahmedov; Ahmad Fadly Nurullah; Abdumalik Rakhimov
2015-10-25
This work was intended as an attempt to extend the results on localization of Fourier-Laplace series to the spectral expansions of distributions on the unit sphere. It is shown that the spectral expansions of the distribution on the unit sphere can be represented in terms of decompostions of Laplace-Beltrami operator. It was of interest to establish sufficient conditions for localization of the spectral expansions of distribution to clarify the latter some relevant counter examples are indicated.
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
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)
2014-07-10
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.
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
Cambridge, University of
kind of martensite to be followed as a function of the steel temperature. The problem is relevantMultiple, Simultaneous, Martensitic Transformations: Implications on Transformation Texture, multiple martensitic transformations. Abstract. A theory is developed for martensite variants that have
Lorentz transformation by mimicking the Lorentz transformation
Bernhard Rothenstein; Stefan Popescu
2007-09-24
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.
Dynamically Responsive Infrared Window Coatings
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Dynamically Responsive Infrared Window Coatings 2015 Building Technologies Office Peer Review Dr. Kyle J. Alvine, kyle.alvine@pnnl.gov Pacific Northwest National Laboratory 21C...
Compression, Restoration, Re-sampling, Compressive Sensing: Fast Transforms in Digital Imaging
Yaroslavsky, Leonid
2014-01-01
Transform image processing methods are methods that work in domains of image transforms, such as Discrete Fourier, Discrete Cosine, Wavelet and alike. They are the basic tool in image compression, in image restoration, in image re-sampling and geometrical transformations and can be traced back to early 1970-ths. The paper presents a review of these methods with emphasis on their comparison and relationships, from the very first steps of transform image compression methods to adaptive and local adaptive transform domain filters for image restoration, to methods of precise image re-sampling and image reconstruction from sparse samples and up to "compressive sensing" approach that has gained popularity in last few years. The review has a tutorial character and purpose.
J. Twamley; G. J. Milburn
2007-02-12
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 ...
TRANSFORMATION TOUGHENING IN CERAMICS
Evans, A.G.
2013-01-01
Preprint ~. Submitted to Advances in Ceramics TRANSFORMATIONTOUGHENING IN CERAMICS A.G. Evans, D.B. Marshall, and N.H.TRANSFORMATION TOUGHENING IN CERAMICS by Ao Go Evans, D. Be
Series Transmission Line Transformer
Buckles, Robert A. (Livermore, CA); Booth, Rex (Livermore, CA); Yen, Boris T. (El Cerrito, CA)
2004-06-29
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
2015-01-07
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.
Kashlinsky, A.; Arendt, R. G.; Mather, J.; Moseley, S. H.; Ashby, M. L. N.; Fazio, G. G.
2012-07-01
We extend previous measurements of cosmic infrared background (CIB) fluctuations to {approx}< 1 Degree-Sign using new data from the Spitzer Extended Deep Survey. Two fields with depths of {approx_equal} 12 hr pixel{sup -1} over three epochs are analyzed at 3.6 and 4.5 {mu}m. Maps of the fields were assembled using a self-calibration method uniquely suitable for probing faint diffuse backgrounds. Resolved sources were removed from the maps to a magnitude limit of mag{sub AB} {approx_equal} 25, as indicated by the level of the remaining shot noise. The maps were then Fourier transformed and their power spectra were evaluated. Instrumental noise was estimated from the time-differenced data, and subtracting this isolates the spatial fluctuations of the actual sky. The power spectra of the source-subtracted fields remain identical (within the observational uncertainties) for the three epochs indicating that zodiacal light contributes negligibly to the fluctuations. Comparing to 8 {mu}m power spectra shows that Galactic cirrus cannot account for the fluctuations. The signal appears isotropically distributed on the sky as required for an extragalactic origin. The CIB fluctuations continue to diverge to >10 times those of known galaxy populations on angular scales out to {approx}< 1 Degree-Sign . The low shot-noise levels remaining in the diffuse maps indicate that the large-scale fluctuations arise from the spatial clustering of faint sources well below the confusion noise. The spatial spectrum of these fluctuations is in reasonable agreement with an origin in populations clustered according to the standard cosmological model ({Lambda}CDM) at epochs coinciding with the first stars era.
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)
2012-10-28
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.
Sandia Energy - Past Market Transformation Activities
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Past Market Transformation Activities Home Stationary Power Energy Conversion Efficiency Solar Energy Photovoltaics Solar Market Transformation Past Market Transformation...
Trigonometric Pade approximants for functions with regularly decreasing Fourier coefficients
Labych, Yuliya A; Starovoitov, Alexander P [Gomel State University, Gomel (Belarus)
2009-08-31
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.
Discrete Fourier-based Correlations for Entanglement Detection
Ryo Namiki; Yuuki Tokunaga
2012-06-06
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
2007-05-17
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.
Performance of a MEMS-based AO-OCT system using Fourier Reconstruction
Evans, J; Zawadzki, R; Jones, S; Olivier, S; Werner, J S
2009-01-21
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.
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
Lateral conduction infrared photodetector
Kim, Jin K. (Albuquerque, NM); Carroll, Malcolm S. (Albuquerque, NM)
2011-09-20
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.
Heat Loss Measurement Using Infrared Imaging
Seeber, S. A.
1983-01-01
Infrared thermography has proven to be an important tool in numerous plant maintenance and energy conservation applications. Quantitative measurement, using infrared imaging instruments, is a powerful new dimension of infrared thermography...
SPITZER INFRARED SPECTROGRAPH DETECTION OF MOLECULAR HYDROGEN...
Office of Scientific and Technical Information (OSTI)
SPITZER INFRARED SPECTROGRAPH DETECTION OF MOLECULAR HYDROGEN ROTATIONAL EMISSION TOWARDS TRANSLUCENT CLOUDS Citation Details In-Document Search Title: SPITZER 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
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-Mukai partners of a K3 surface and the cusps of its Kahler moduli
Shouhei Ma
2008-08-22
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.
Mid-infrared tunable metamaterials
Brener, Igal; Miao, Xiaoyu; Shaner, Eric A; Passmore, Brandon Scott; Jun, Young Chul
2015-04-28
A mid-infrared tunable metamaterial comprises an array of resonators on a semiconductor substrate having a large dependence of dielectric function on carrier concentration and a semiconductor plasma resonance that lies below the operating range, such as indium antimonide. Voltage biasing of the substrate generates a resonance shift in the metamaterial response that is tunable over a broad operating range. The mid-infrared tunable metamaterials have the potential to become the building blocks of chip based active optical devices in mid-infrared ranges, which can be used for many applications, such as thermal imaging, remote sensing, and environmental monitoring.
Understanding colloidal quantum dot excitation with solution photon correlation fourier spectroscopy
Heathcote, S. Leigh (Stephanie Leigh)
2015-01-01
Colloidal quantum dots (CQDs) have useful absorption and emission properties but exist in inhomogenous batches. Solution photon correlation fourier spectroscopy (S-PCFS) combines interferometry with fluorescence correlation ...
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
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
Chemical Transformations in Wetlands
Gray, Matthew
) as a byproduct. Methane "Swamp gas" Natural Greenhouse Gas CH4 Release (mg C/m2 d) Bogs (150) Marshes (90 associated with breakdown of organic C and nitrogenous waste and for respiration! NOTE: Microbial populations. CO2 + H2O H2CO3 Reduction of Ferric Iron Hydroxides #12;3 Nitrogen Transformations First e- Acceptor
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
Industrial Use of Infrared Inspections
Duch, A. A.
1979-01-01
Infrared is and has been an established technology in the military and aerospace fields. However, only relatively recently has this technology found a "use" in the industrial sector. Many reasons exist why the technology has not been used...
The SNAP near infrared detectors
2002-01-01
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,
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
Meehan, Michael Joseph
2009-01-01
be ejected during thermal activation methods and that thisPEA is accomplished using thermal activation methods.are a large number of thermal activation methods that could
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
Cooke, Stephen, A
2013-02-03
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.
Aboelaze, Mokhtar
) which is the basis for Multi Carrier Code Division Multiple access (MC-CDMA), and its di- rect spread was used in 3- D induction well logging probelm where it could be used in characterization of oil
]. 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
Greer, Julia R.
2015-01-01
. Noble,1,14 E. Puga4 and L. D. Spencer3 1Department of Physics, Imperial College London, Prince Consort
Transformable topological mechanical metamaterials
D. Zeb Rocklin; Shangnan Zhou; Kai Sun; Xiaoming Mao
2015-10-21
Mechanical metamaterials are engineered materials that gain their remarkable mechanical properties, such as negative Poisson's ratios, negative compressibility, phononic bandgaps, and topological phonon modes, from their structure rather than composition. Here we propose a new design principle, based on a uniform soft deformation of the whole structure, to allow metamaterials to be immediately and reversibly transformed between states with contrasting mechanical and acoustic properties. These properties are protected by the topological structure of the phonon band of the whole structure and are thus highly robust against disorder and noise. We discuss the general classification of all structures that exhibit such soft deformations, and provide specific examples to demonstrate how to utilize soft deformations to transform a system between different regimes such that remarkable changes in their properties, including edge stiffness and speed of sound, can be achieved.
Sheng, Lei; Liu, Jing
2014-01-01
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...
Towards a high order Fourier-SEM solver of fluid models in tokamaks
Pasquetti, Richard
Chapter 1 Towards a high order Fourier-SEM solver of fluid models in tokamaks A. Bonnement, S in tokamaks. For the numerical approximation, we use a high order method based on Fourier expansions on anisotropic diffusion, because in tokamaks diffusion strongly dominates along the mag- netic field lines
Hartmann Fourier analysis for sensing and correction E. N. Ribak1
Ribak, Erez
Hartmann Fourier analysis for sensing and correction E. N. Ribak1 , Y. Carmon1 , A. Talmi2 , O, Spain Abstract The Hartmann pattern lends itself naturally to Fourier analysis, providing directly mir and tested these algorithms on two separate adaptive optics systems. Introduction. Hartmann-Shack (HS) wave
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
Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation
Howard S. Cohl
2012-02-08
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.
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
The Industrial Transformation of Subarctic Canada
Mathoor, Vineeth
2011-01-01
the pace and impact of industrial transformation in theReview: The Industrial Transformation of Subarctic Canada ByIndia Piper, Liza. The Industrial Transformation of
Electrically tunable infrared metamaterial devices
Brener, Igal; Jun, Young Chul
2015-07-21
A wavelength-tunable, depletion-type infrared metamaterial optical device is provided. The device includes a thin, highly doped epilayer whose electrical permittivity can become negative at some infrared wavelengths. This highly-doped buried layer optically couples with a metamaterial layer. Changes in the transmission spectrum of the device can be induced via the electrical control of this optical coupling. An embodiment includes a contact layer of semiconductor material that is sufficiently doped for operation as a contact layer and that is effectively transparent to an operating range of infrared wavelengths, a thin, highly doped buried layer of epitaxially grown semiconductor material that overlies the contact layer, and a metallized layer overlying the buried layer and patterned as a resonant metamaterial.
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
2011-09-01
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
Real time infrared aerosol analyzer
Johnson, Stanley A. (Countryside, IL); Reedy, Gerald T. (Bourbonnais, IL); Kumar, Romesh (Naperville, IL)
1990-01-01
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.
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
2007-08-31
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.
Servedio, Rocco
TESTING FOURIER DIMENSIONALITY AND SPARSITY PARIKSHIT GOPALAN, RYAN O'DONNELL, ROCCO A. SERVEDIO of Boolean functions that are defined in terms of the Fourier spectrum. Broadly speaking, our results show that the property of a Boolean function having a concise Fourier representation is locally testable. We give
Sub-Fourier Characteristics of a -kicked-rotor Resonance I. Talukdar, R. Shrestha, and G. S. Summy
Summy, Gil
Sub-Fourier Characteristics of a -kicked-rotor Resonance I. Talukdar, R. Shrestha, and G. S. Summy; revised manuscript received 25 May 2010; published 28 July 2010) We experimentally investigate the sub-Fourier depends on 1=N3 , a property which we also verify experimentally. Such a sub-Fourier effect could
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
LU transformation invariant operators and LU transformation invariant
Xin-wei Zha; Chun-min Zhang
2007-02-06
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.
Thermo Tracer Infrared Thermal Imager
Walker, D. Greg
-range area G Environment monitoring Volcano, ecology, vegetation, global warming, pollution G R&D Evaluation is a fixed installation type infrared thermal imaging camera to monitor important facilities Production line monitoring Quality anomalies in production processes G Facility monitoring Anomalies
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
Drones, Infrared Imagery, and Body Heat
Parks, L
2015-01-01
afar: The politics of drones and liminal security-scapes.of Communication 8 (2014) Drones, Infrared Imagery, and Body2521 1932–8036/2014FEA0002 Drones, Infrared Imagery, and
Leung Shingyu; Qian Jianliang
2010-11-20
We propose the backward phase flow method to implement the Fourier-Bros-Iagolnitzer (FBI)-transform-based Eulerian Gaussian beam method for solving the Schroedinger equation in the semi-classical regime. The idea of Eulerian Gaussian beams has been first proposed in . In this paper we aim at two crucial computational issues of the Eulerian Gaussian beam method: how to carry out long-time beam propagation and how to compute beam ingredients rapidly in phase space. By virtue of the FBI transform, we address the first issue by introducing the reinitialization strategy into the Eulerian Gaussian beam framework. Essentially we reinitialize beam propagation by applying the FBI transform to wavefields at intermediate time steps when the beams become too wide. To address the second issue, inspired by the original phase flow method, we propose the backward phase flow method which allows us to compute beam ingredients rapidly. Numerical examples demonstrate the efficiency and accuracy of the proposed algorithms.
Time-Frequency Representation of Microseismic Signals using the Synchrosqueezing Transform
Herrera, Roberto H; van der Baan, Mirko
2013-01-01
Resonance frequencies can provide useful information on the deformation occurring during fracturing experiments or $CO_2$ management, complementary to the microseismic event distribution. An accurate time-frequency representation is of crucial importance prior to interpreting the cause of resonance frequencies during microseismic experiments. The popular methods of Short-Time Fourier Transform (STFT) and wavelet analysis have limitations in representing close frequencies and dealing with fast varying instantaneous frequencies and this is often the nature of microseismic signals. The synchrosqueezing transform (SST) is a promising tool to track these resonant frequencies and provide a detailed time-frequency representation. Here we apply the synchrosqueezing transform to microseismic signals and also show its potential to general seismic signal processing applications.
Solar and Infrared Radiation Station (SIRS) Handbook
Stoffel, T
2005-07-01
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
Minisuperspace models as infrared contributions
Bojowald, Martin
2015-01-01
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)
1986-01-01
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)
2010-03-30
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.
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
SU-E-QI-08: Fourier Properties of Cone Beam CT Projection
Bai, T; Yan, H; Jia, X; Jiang, Steve B.; Mou, X
2014-06-15
Purpose: To explore the Fourier properties of cone beam CT (CBCT) projections and apply the property to directly estimate noise level of CBCT projections without any prior information. Methods: By utilizing the property of Bessel function, we derivate the Fourier properties of the CBCT projections for an arbitrary point object. It is found that there exists a double-wedge shaped region in the Fourier space where the intensity is approximately zero. We further derivate the Fourier properties of independent noise added to CBCT projections. The expectation of the square of the module in any point of the Fourier space is constant and the value approximately equals to noise energy. We further validate the theory in numerical simulations for both a delta function object and a NCAT phantom with different levels of noise added. Results: Our simulation confirmed the existence of the double-wedge shaped region in Fourier domain for the x-ray projection image. The boundary locations of this region agree well with theoretical predictions. In the experiments of estimating noise level, the mean relative error between the theory estimation and the ground truth values is 2.697%. Conclusion: A novel theory on the Fourier properties of CBCT projections has been discovered. Accurate noise level estimation can be achieved by applying this theory directly to the measured CBCT projections. This work was supported in part by NIH(1R01CA154747-01), NSFC((No. 61172163), Research Fund for the Doctoral Program of Higher Education of China (No. 20110201110011) and China Scholarship Council.
Transformer Efficiency Assessment - Okinawa, Japan
Thomas L. Baldwin; Robert J. Turk; Kurt S. Myers; Jake P. Gentle; Jason W. Bush
2012-05-01
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
2012-08-01
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.
John T. Conway; Howard S. Cohl
2009-10-07
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.
Passive infrared bullet detection and tracking
Karr, Thomas J. (Alamo, CA)
1997-01-01
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.
Infrared Observations of Galaxy Clusters
David Elbaz
1997-11-28
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.
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 ...
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
Infra-red signature neutron detector
Bell, Zane William (Oak Ridge, TN) [Oak Ridge, TN; Boatner, Lynn Allen (Oak Ridge, TN) [Oak Ridge, TN
2009-10-13
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.
Reservoir characterization using wavelet transforms
Rivera Vega, Nestor
2004-09-30
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...
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.
ENERGY TRANSFORMED: SUSTAINABLE ENERGY SOLUTIONS
Roe, Paul
ENERGY TRANSFORMED: SUSTAINABLE ENERGY SOLUTIONS AUSTRALIAN UNIVERSITY SURVEY SUMMARY OF QUESTIONNAIRE RESULTS WHAT IS THE STATE OF EDUCATION FOR ENERGY EFFICIENCY IN AUSTRALIAN ENGINEERING EDUCATION? PREPARED BY: #12;State of Education for Energy Efficiency in Australian Engineering Education Summary
Coupled diffusional/displacive transformations
Mujahid, Shafiq Ahmad
the variation in the martensite-start temperature with carbon concentration, but fails to estimate the corresponding changes in the bainite-start temperatures of the same steels. Thus, the accuracy claimed by the original theory appears fortuitous for bainite... and tempered steels and ball bearing alloys. Important recent developments involving the martensitic transformation in steels in- clude maraging steel (precipitation-hardened martensite), TRIP steels (transformation in- duced plasticity), ausforming steels...
Phase Transformations in Heterogeneous Steels
Khan, Shahid Amin
1990-05-08
for autocatalysis, relying on the fact that immediate vicinity of a plate is disturbed quite severely by a combination of elastic and plastic deformation processes due to the shear like nature of the transformation. • Stress-induced Nucleation, i.e., the activation... elements in steels is twofold. They can affect both the thermodynamics and kinetics of transformations. The hardenability of steels is related directly to the in- fluence on the nucleation and growth kinetics of the decomposition products. Primarily...
Probing Organic Transistors with Infrared Beams
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
University of California and the ALS has succeeded in probing the intrinsic electronic properties of the charge carriers in organic FETs using infrared spectromicroscopy. The...
Dynamically Responsive Infrared Window Coatings | Department...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Window Coatings Dynamically Responsive Infrared Window Coatings 1 of 5 An oxygen plasma etcher is used to clean test substrates for window coatings. Image: Pacific Northwest...
Infrared Mapping Helps Optimize Catalytic Reactions
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Infrared Mapping Helps Optimize Catalytic Reactions Print A pathway to more effective and efficient synthesis of pharmaceuticals and other flow-reactor chemical products has been...
Infrared Mapping Helps Optimize Catalytic Reactions
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
was mapped in high resolution from start to finish. The formation of different chemical products during the reactions was analyzed in situ using infrared...
Uncooled infrared imaging using bimaterial microcantilever arrays...
Office of Scientific and Technical Information (OSTI)
main figures of merit of the IR imager were found to be comparable to those of uncooled MEMS infrared detectors with substantially higher degree of fabrication complexity. In...
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....
Building America Expert Meeting: Transforming Existing Buildings...
Transforming Existing Buildings through New Media--An Idea Exchange Building America Expert Meeting: Transforming Existing Buildings through New Media--An Idea Exchange This report...
Marketing and Market Transformation | Department of Energy
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Market Transformation Presentation More Documents & Publications Marketing and Market Transformation Working with the Real Estate Sector Trends in Real Estate and Energy Efficiency...
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...
INFRARED MOLECULAR STARBURST FINGERPRINTS IN DEEPLY OBSCURED (ULTRA)LUMINOUS INFRARED GALAXY NUCLEI
Spoon, Henrik
INFRARED MOLECULAR STARBURST FINGERPRINTS IN DEEPLY OBSCURED (ULTRA)LUMINOUS INFRARED GALAXY NUCLEI: molecules 1. INTRODUCTION One of the holy grails in the study of luminous and ultra- luminous infrared galaxies (LIRGs and ULIRGs) is to elucidate the true nature of the central energy source. (U)LIRGs emit
Joe Sato; Masafumi Koike; Toshihiko Ota; Masako Saito
2008-10-17
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.
S. Voloshin; Y. Zhang
1994-07-12
We propose a new method to study transverse flow effects in relativistic nuclear collisions by Fourier analysis of the azimuthal distribution on an event-by-event basis in relatively narrow rapidity windows. The distributions of Fourier coefficients provide direct information on the magnitude and type of flow. Directivity and two dimensional sphericity tensor, widely used to analyze flow, emerge naturally in our approach, since they correspond to the distributions of the first and second harmonic coefficients, respectively. The role of finite particle fluctuations and particle correlations is discussed.
Transforming a 4th year Modern Optics Course Using a Deliberate Practice Framework
Jones, David J; Wieman, Carl E
2015-01-01
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...
On quantization in light-cone variables compatible with wavelet transform
Altaisky, M V
2015-01-01
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
The Use of Infrared Technology To Detect Heat Loss
Faulkner, K.
1979-01-01
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...
Continuous Cooling Transformation (CCT) Assistant Professor
Cambridge, University of
Continuous Cooling Transformation (CCT) Diagrams R. Manna Assistant Professor Centre of Advanced.ac.uk #12;Continuous cooling transformation (CCT) diagram There are two types of CCT diagrams I) Plot and transformation finish temperature against transformation time on each cooling curve II) Plot of (for each type
Transformations on Willmore surfaces Katrin Leschke
Banaji,. Murad
Transformations on Willmore surfaces Katrin Leschke Habilitationsschrift zur Erlangung der Venia . . . . . . . . . . . . . . . . . . . . . . . . . . 43 2 Transformations on conformal maps 47 2.1 The Darboux transformation . . . . . . . . . . . . . . . . . . . . . . . . . 47 2.1.1 The classical Darboux transformation on isothermic surfaces . . . 48 2.1.2 The spectral
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; Schultz, John F.
2005-12-01
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.
LEBESGUE SPACE ESTIMATES FOR A CLASS OF FOURIER INTEGRAL OPERATORS ASSOCIATED WITH WAVE PROPAGATION
Seeger, Andreas
integral operators satisfying the `cinematic curvature' hypothesis introduced in [17] (see also [14 for wave equations on compact manifolds, cinematic cur- vature, Fourier integral operators. Supported to the assumption of cinematic curvature in [17]. We use H¨ormander's convention for the definition of o
Fourier analysis and systems identification of the p53 feedback loop
to a circuit, measures its output at different frequencies, and describes this by linear models of the dynamicsFourier analysis and systems identification of the p53 feedback loop Naama Geva-Zatorskya,1 , Erez (received for review January 31, 2010) A key circuit in the response of cells to damage is the p53mdm2
Fifth-order electronically non-resonant Raman scattering: two-dimensional Fourier deconvolution
Kaufman, Laura
Fifth-order electronically non-resonant Raman scattering: two-dimensional Fourier deconvolution information on the direct ®fth-order nuclear response as well as the hyper- polarizability responses can-resonant Raman scattering is one of the new multi-dimensional spectroscopic techniques that oers information
Structural Health Monitoring of Composite Materials Using the Two Dimensional Fast Fourier
Nemat-Nasser, Sia
Structural Health Monitoring of Composite Materials Using the Two Dimensional Fast Fourier. This work is part of an effort to develop smart composite materials that monitor their own health using the health of composite materials. Submitted to: Smart Materials and Structures #12;Structural Health
On the controllability of the heat equation with nonlinear boundary Fourier conditions
González Burgos, Manuel
On the controllability of the heat equation with nonlinear boundary Fourier conditions A. Doubova (among other things) H¨older estimates for the control and the state. Key words: Controllability, heat, 41080 Sevilla, Spain. Abstract In this paper we analyze the approximate and null controllability
About nonlinear geometric optics Institut Fourier, UMR 5582 (CNRS-UJF)
Dumas, Eric
About nonlinear geometric optics E. Dumas Institut Fourier, UMR 5582 (CNRS-UJF) 100 rue des Math We give an idea of the evolution of mathematical nonlinear geomet- ric optics from its foundation Geometric optics goes back at least to the XVIIth Century, with Fermat, Snell and Descartes, who described
Speculations About a Fourier Series Kicker for the TESLA Damping Ring George D. Gollin*
Gollin, George
1 Speculations About a Fourier Series Kicker for the TESLA Damping Ring George D. Gollin* , Thomas, 2002 We describe a scheme for a damping ring kicker for TESLA which uses a set of rf cavities rings approximately half the size specified in the current TESLA design. Introduction The 2820 bunches
Phase Transformations in Confined Nanosystems
Shield, Jeffrey E.; Belashchenko, Kirill
2014-04-29
This project discovered that non-equilibrium structures, including chemically ordered structures not observed in bulk systems, form in isolated nanoscale systems. Further, a generalized model was developed that effectively explained the suppression of equilibrium phase transformations. This thermodynamic model considered the free energy decrease associated with the phase transformation was less than the increase in energy associated with the formation of an interphase interface, therefore inhibiting the phase transformation. A critical diameter exists where the system transitions to bulk behavior, and a generalized equation was formulated that successfully predicted this transition in the Fe-Au system. This provided and explains a new route to novel structures not possible in bulk systems. The structural characterization was accomplished using transmission electron microscopy in collaboration with Matthew Kramer of Ames Laboratory. The PI and graduate student visited Ames Laboratory several times a year to conduct the experiments.
Development of Toroidal Core Transformers
Leon, Francisco
2014-05-31
The original objective of this project was to design, build and test a few prototypes of singlephase dry-type distribution transformers of 25 kVA, 2.4 kV primary to 120 V transformers using cores made of a continuous steel strip shaped like a doughnut (toroid). At different points during the development of the project, the scope was enhanced to include the more practical case of a 25 kVA transformer for a 13.8 kV primary system voltage. Later, the scope was further expanded to design and build a 50 kVA unit to transformer voltage from 7.62 kV to 2x120 V. This is a common transformer used by Con Edison of New York and they are willing to test it in the field. The project officially started in September 2009 and ended in May 2014. The progress was reported periodically to DOE in eighteen quarterly reports. A Continuation Application was submitted to DOE in June 2010. In May 2011 we have requested a non-cost extension of the project. In December 2011, the Statement of Project Objectives (SOPO) was updated to reflect the real conditions and situation of the project as of 2011. A second Continuation Application was made and funding was approved in 2013 by DOE and the end date was extended to May 2014.The technical challenges that were overcome in this project include: the development of the technology to pass the impulse tests, derive a model for the thermal performance, produce a sound mechanical design, and estimate the inrush current. However, the greatest challenge that we faced during the development of the project was the complications of procuring the necessary parts and materials to build the transformers. The actual manufacturing process is relatively fast, but getting all parts together is a very lengthy process. The main products of this project are two prototypes of toroidal distribution transformers of 7.62 kV (to be used in a 13.8 kV system) to 2x120 V secondary (standard utilization voltage); one is rated at 25 kVA and the other at 50 kVA. The 25 kVA transformer passed the impulse test in KEMA high-voltage laboratories. Additional products include: nine papers published in the IEEE Transactions on Power Delivery, one patent has been filed, three PhD students were supported from beginning to graduation, five postdoctoral fellows, and three MSc students were partially supported. The electrical characteristics of our dry-type toroidal transformers are similar to those of the oil-immersed pole mounted transformers currently in use by many utilities, but toroids have higher efficiency. The no-load losses of the 50 kVA prototype are only 45 W. A standard transformer has no-load losses between 90 and 240 W. Thus, even the finest transformer built today with standard technology has double the amount of no-load losses than the prototype toroidal transformer. When the manufacturing process is prepared for mass production, the cost of a dry-type toroidal transformer would be similar to the price of an oil-filed standard design. However, because of the greatly reduced losses, the total ownership cost of a toroidal transformer could be about half of a traditional design. We got a grant from Power Bridge NY in the amount of $149,985 from June 2014 to May 2015 to continue developing the transformer with commercialization objectives. We are considering the possibility to incorporate a company to manufacture the transformers and have contacted investors. The current status of the real life testing is as follows: after several months of silence, Con Edison has re-started conversations and has shown willingness to test the transformer. Other companies, PSE&G and National Grid have recently also shown interest and we will present our product to them soon.
Polyanalytic relativistic second Bargmann transforms
Zouhair Mouayn
2015-04-01
We construct coherent states through special superpositions of photon number states of the relativistic isotonic oscillator. In each superposition the coefficients are chosen to be L 2 eingenfunctions of a sigma weight Maass Laplacian on the Poincare disk, which are associated with discrete eigenvalues. For each nonzero m the associated coherent states transform constitutes the m true polyanalytic extension of a relativistic version of the second Bargmann transform, whose integral kernel is expressed in terms of a special Appel Kampe de Feriet hypergeometric function. The obtained results could be used to extend the known semi classical analysis of quantum dynamics of the relativistic isotonic oscillator.
Infrared photoconductive PbTe film processing and oxygen sensitization
Klingshim, Christopher J
2015-01-01
Infrared (IR) thermal detectors and photodetectors have significant applications including thermal imaging, infrared spectroscopy and chemical and biological sensing. In this work we focus on photodetectors, which typically ...
Polymer-Ceramic MEMS Bimorphs as Thermal Infrared Sensors
Warren, Clinton Gregory
2010-01-01
the fabrication of the MEMS sensors from the readout system,mechanical infrared sensors based on MEMS polymer-ceramicmechanical infrared sensors based on MEMS polymer-ceramic
Polymer-Ceramic MEMS Bimorphs as Thermal Infrared Sensors
Warren, Clinton Gregory
2010-01-01
C. Vieider, and H. Jakobsen. MEMS-based uncooled infraredin uncooled infrared imaging: A MEMS perspective. Bell Labsstudies of an uncooled MEMS capacitive infrared detector for
Geothermal Exploration with Visible through Long Wave Infrared...
Wave Infrared Imaging Spectrometers Abstract Surface minerals of active geothermal systems have been mapped using visible-short wave infrared and mid wave and long wave imaging...
A fast non-Fourier method for Landau-fluid operators
Dimits, A. M., E-mail: dimits1@llnl.gov; Joseph, I.; Umansky, M. V. [Lawrence Livermore National Laboratory, L-637, P.O. Box 808, Livermore, California 94511-0808 (United States)
2014-05-15
An efficient and versatile non-Fourier method for the computation of Landau-fluid (LF) closure operators [Hammett and Perkins, Phys. Rev. Lett. 64, 3019 (1990)] is presented, based on an approximation by a sum of modified-Helmholtz-equation solves (SMHS) in configuration space. This method can yield fast-Fourier-like scaling of the computational time requirements and also provides a very compact data representation of these operators, even for plasmas with large spatial nonuniformity. As a result, the method can give significant savings compared with direct application of “delocalization kernels” [e.g., Schurtz et al., Phys. Plasmas 7, 4238 (2000)], both in terms of computational cost and memory requirements. The method is of interest for the implementation of Landau-fluid models in situations where the spatial nonuniformity, particular geometry, or boundary conditions render a Fourier implementation difficult or impossible. Systematic procedures have been developed to optimize the resulting operators for accuracy and computational cost. The four-moment Landau-fluid model of Hammett and Perkins has been implemented in the BOUT++ code using the SMHS method for LF closure. Excellent agreement has been obtained for the one-dimensional plasma density response function between driven initial-value calculations using this BOUT++ implementation and matrix eigenvalue calculations using both Fourier and SMHS non-Fourier implementations of the LF closures. The SMHS method also forms the basis for the implementation, which has been carried out in the BOUT++ code, of the parallel and toroidal drift-resonance LF closures. The method is a key enabling tool for the extension of gyro-Landau-fluid models [e.g., Beer and Hammett, Phys. Plasmas 3, 4046 (1996)] to codes that treat regions with strong profile variation, such as the tokamak edge and scrapeoff-layer.
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