Relevant bibliographies by topics / Ray-Born

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Ray-Born'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Ray-Born"

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Beydoun, Wafik B., and Manuela Mendes. "Elastic Ray-Born L2-Migration/Inversion." Geophysical Journal International 97, no. 1 (1989): 151–60. http://dx.doi.org/10.1111/j.1365-246x.1989.tb00490.x.

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Bansal, Rishi, and Mrinal K. Sen. "Ray-Born inversion for fracture parameters." Geophysical Journal International 180, no. 3 (2010): 1274–88. http://dx.doi.org/10.1111/j.1365-246x.2009.04484.x.

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Sarajaervi, Martin, and Henk Keers. "Computation of ray-Born seismograms using isochrons." GEOPHYSICS 83, no. 5 (2018): T245—T256. http://dx.doi.org/10.1190/geo2017-0669.1.

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Seismic modeling in heterogeneous media is accomplished by using either approximate or fully numerical methods. A popular approximate method is ray-Born modeling, which requires the computation of 3D integrals. We have developed an integration technique for accurate and, under certain circumstances, efficient evaluation of the ray-Born integrals in the time domain. The 3D integrals are split into several 2D integrals, each of which gives the wavefield at a certain time, so that the waveform at each time step is computed independently of all other times. We compute seismograms for 3D heterogeneous acoustic media using this technique and compare these seismograms with seismograms computed using two other modeling methods: frequency-domain ray-Born modeling and finite-difference modeling of the acoustic wave equation. Our method can also be applied to elastic ray-Born modeling. Velocity models with smooth scatterers and the SEG/EAGE overthrust model are used for comparison. The ray-Born seismograms computed using the time- and frequency-domain ray-Born modeling methods are identical, as expected. The comparison between the ray-Born modeling and the finite-difference-modeling method indicates that the waveforms are similar for both types of velocity models. We evaluate the discrepancies in terms of multiple scattering and multipathing.
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Ghisellini, G., A. Celotti, G. Ghirlanda, C. Firmani, and L. Nava. "Re-born fireballs in gamma-ray bursts." Monthly Notices of the Royal Astronomical Society: Letters 382, no. 1 (2007): L72—L76. http://dx.doi.org/10.1111/j.1745-3933.2007.00392.x.

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Bieber, J. W., and R. A. Burger. "Cosmic-ray streaming in the Born approximation." Astrophysical Journal 348 (January 1990): 597. http://dx.doi.org/10.1086/168266.

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Coates, R. T., and C. H. Chapman. "Ray perturbation theory and the Born approximation." Geophysical Journal International 100, no. 3 (1990): 379–92. http://dx.doi.org/10.1111/j.1365-246x.1990.tb00692.x.

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Incagli, Marco. "Precision Cosmic Ray physics with space-born experiment." EPJ Web of Conferences 121 (2016): 03001. http://dx.doi.org/10.1051/epjconf/201612103001.

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Lambaré, Gilles, Stéphane Operto, Pascal Podvin, and Philippe Thierry. "3D ray+Born migration/inversion—Part 1: Theory." GEOPHYSICS 68, no. 4 (2003): 1348–56. http://dx.doi.org/10.1190/1.1598128.

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Prestack ray+Born migration/inversion can be split in two steps : the computation of common image gathers (CIGs) and their weighted stack (the migration stack). The choice of the domain for the CIGs (shot, offset, angle, etc.) has a direct impact on the resolution of the migration stack. This resolution can be studied easily in the frame of ray+Born migration/inversion theory resulting into improved migration/inversion formulas according to the acquisition geometry. This paper is devoted to this analysis in the cases of a simple 2D acquisition and of a 3D swath acquisition, both corresponding to classical data sets from the SEG/EAGE 3D overthrust experiment. We show that the migration formula originally designed for 3D marine acquisition is not adaptable to the 3D swath acquisition. Finally, we propose a new formula for this specific acquisition, which improves the resolution of the final migrated image. The relevance of this new formula is illustrated in the frame of the SEG/EAGE experiment in the companion paper.
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Sarin, Nikhil, Paul D. Lasky, and Gregory Ashton. "Interpreting the X-ray afterglows of gamma-ray bursts with radiative losses and millisecond magnetars." Monthly Notices of the Royal Astronomical Society 499, no. 4 (2020): 5986–92. http://dx.doi.org/10.1093/mnras/staa3090.

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ABSTRACT The spin-down energy of millisecond magnetars has been invoked to explain X-ray afterglow observations of a significant fraction of short and long gamma-ray bursts. Here, we extend models previously introduced in the literature, incorporating radiative losses with the spin-down of a magnetar central engine through an arbitrary braking index. Combining this with a model for the tail of the prompt emission, we show that our model can better explain the data than millisecond-magnetar models without radiative losses or those that invoke spin-down solely through vacuum dipole radiation. We find that our model predicts a subset of X-ray flares seen in some gamma-ray bursts. We can further explain the diversity of X-ray plateaus by altering the radiative efficiency and measure the braking index of newly born millisecond magnetars. We measure the braking index of GRB061121 as $n=4.85^{+0.11}_{-0.15}$ suggesting the millisecond-magnetar born in this gamma-ray burst spins down predominantly through gravitational-wave emission.
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Thierry, Philippe, Stéphane Operto, and Gilles Lambaré. "Fast 2-D ray+Born migration/inversion in complex media." GEOPHYSICS 64, no. 1 (1999): 162–81. http://dx.doi.org/10.1190/1.1444513.

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In this paper, we evaluate the capacity of a fast 2-D ray+Born migration/inversion algorithm to recover the true amplitude of the model parameters in 2-D complex media. The method is based on a quasi‐Newtonian linearized inversion of the scattered wavefield. Asymptotic Green’s functions are computed in a smooth reference model with a dynamic ray tracing based on the wavefront construction method. The model is described by velocity perturbations associated with diffractor points. Both the first traveltime and the strongest arrivals can be inverted. The algorithm is implemented with several numerical approximations such as interpolations and aperture limitation around common midpoints to speed the algorithm. Both theoritical and numerical aspects of the algorithm are assessed with three synthetic and real data examples including the 2-D Marmousi example. Comparison between logs extracted from the exact Marmousi perturbation model and the computed images shows that the amplitude of the velocity perturbations are recovered accurately in the regions of the model where the ray field is single valued. In the presence of caustics, neither the first traveltime nor the most energetic arrival inversion allow for a full recovery of the amplitudes although the latter improves the results. We conclude that all the arrivals associated with multipathing through transmission caustics must be taken into account if the true amplitude of the perturbations is to be found. Only 22 minutes of CPU time is required to migrate the full 2-D Marmousi data set on a Sun SPARC 20 workstation. The amplitude loss induced by the numerical approximations on the first traveltime and the most energetic migrated images are evaluated quantitatively and do not exceed 8% of the energy of the image computed without numerical approximation. Computational evaluation shows that extension to a 3-D ray+Born migration/inversion algorithm is realistic.
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Dissertations / Theses on the topic "Ray-Born"

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Reiten, Andreas Lønning. "Diffuse Small Angle X-Ray Scattering From Thin Film Structures In the Distorted Wave Born Approximation." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-13379.

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The differential scattering cross section for diffuse scattering of X-rays from thinfilm structures is discussed within the framework of the distorted wave Born ap-proximation (DWBA). In contrast to the standard Born approximation (BA), thedistorted wave approach succeeds in calculating scattering from surfaces near thecritical angle of reflection. The method is particularly useful for studying averagesurface properties.Compromises made in the derivation of the model substantially simplify thefinal expression, but also limit its range of validity, which depends on the surfaceroot mean square roughness &#963; and the momentum transfer between the incidentand scattered X-rays perpendicular to the surface, Qz . The approximation is validso long as (Qz x &#963;) << 1.However, this is also the only regime where it is necessary togo beyond the simpler Born approximation.A computer simulation software based on the DWBA is implemented in Python.The implemented DWBA depends on the fractal dimension of the surface featuresthrough a parameter h (D = 3 &#8722; h) and an in-plane correlation cut off length &#950;.The various effects of changing key model parameters, among them &#950; and h, isdemonstrated. Comparison between experimental data and the DWBA modellooks promising although there are some challenges in relation to determiningthe fractal dimension.Finally, the feasibility of implementing the DWBA model in a multi-parameterfitting algorithm is discussed.
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Yuh, Sung H. "Time-lapse seismic monitoring of subsurface fluid flow." [College Station, Tex. : Texas A&M University, 2004. http://hdl.handle.net/1969.1/430.

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Mikulik, Petr. "Réflectivité des rayons X par des multicouches planaires et structurées." Université Joseph Fourier (Grenoble), 1997. http://www.theses.fr/1997GRE10056.

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La reflectivite des rayons x par des multicouches planaires et structurees est presentee en utilisant differentes approches theoriques. Les phenomenes de diffusion etudies sont : la reflectivite speculaire par des multicouches planaires ayant diverses sequences d'empilement (monocouche, periodique, quasiperiodique), la diffusion diffuse de multicouches rugueuses, et enfin la diffusion par des reseaux de surface et par des reseaux de multicouche. Les theories employees pour les calculs : la theorie cinematique, l'approximation de l'onde deformee de born, la theorie dynamique, et plusieurs approximations de la theorie dynamique (approximation a une reflexion unique, approximation a deux ondes et approximation a diffusion multiple), sont developpees dans un formularisme unique. Ce formalisme permet de discuter et de comparer toutes les theories d'une maniere solide et methodologique. Les calculs numeriques sont appliques pour l'ajustement des courbes experiementales pour mettre en evidence les parametres structuraux des divers systemes multicouches.
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Šachl, Libor. "Bornova aproximace založená na paprskové metodě." Master's thesis, 2011. http://www.nusl.cz/ntk/nusl-313888.

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Title: Ray-based Born approximation Author: Libor Šachl Department: Department of Geophysics Supervisor: RNDr. Luděk Klimeš, DrSc. Supervisor's e-mail address: klimes@seis.karlov.mff.cuni.cz Abstract: One of the aims of this thesis was coding of program grdborn.for for computing the 2D and 3D ray-based Born approximation of the first order in an inhomoge- nous isotropic medium without attenuation. The computation of 3D amplitudes using the 2D Born approximation is based on the correction term, which is de- rived. The program is further used in computing the Born approximation in various models. We test its performance in three simple models. We study the effect of the discretization, the spurious waves introduced by the finite size of the grid etc. In the next step, we focus on the computations in more compli- cated models. We compute the Born seismograms in 2D heterogenous models. We study the diffracted waves, the effects of caustics etc. Keywords: Born approximation, ray theory, velocity model, perturbation 1
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John, Jem Teresa. "Optical Diffraction Tomography for the Refractive Index Profiling of Objects with Large Space-Bandwidth product." Thesis, 2017. http://etd.iisc.ernet.in/2005/3617.

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The primary goal of this work is to arrive at direction tomography (DT) algorithms freed from the severe linearization in the formulation, and as-assumptions on variation of the refractive index distribution (RID), involved in the earlier approaches based on Born and Royton approximations and the Fourier di reaction theorem (FDT). To start with, a direct single-step re-covery of RID from intensity measurements is demonstrated, replacing the common two-step procedure involving, rest the recovery of phase from in-density followed by the inversion of scattered led for the RID. The information loss, unavoidable in a two-step procedure is thus successfully addressed. Secondly, an iterative method which works with a forward model obtained directly from the Helmholtz equation is developed. This forward model, though has simplifying assumptions, is more general and can accommodate larger variations in RID than that allowed in the previous linear models. The iterative procedure has an update step which uses a linearization of the forward model and a re-linearization step at the updated RID. The procedure which directly employs the measured intensities is used as part of a deterministic Gauss-Newton algorithm and a stochastic optimization algorithm which uses the ensemble Kalman lter to arrive at the recursive update. The stochastic method is found to be more noise-tolerant and efficient to take care of process model inaccuracies. The proof is seen in better reconstructions from experimental data for two example objects, namely, a graded-index optical bre and a photonic-crystal bre. It is further ob-served that the reconstructions from photonic crystal bre are blurred, noisy and less accurate. Identifying the inaccurate implementation of the modemed Helmholtz equation for large k values employing the current sampling rate as the shortcoming, a new procedure, which splits the bandwidth into smaller components using short-time Fourier Transform is developed. The set of equations arrived at, each t for a narrow frequency band, is solved and the solutions are reassembled to obtain the scattered led for the original problem. The simulated di rated intensities so obtained are better matched to their measured experimental counterparts. However, the impel-mentation of the mode end procedure is computation-intensive, for which a parallel-processing machine can be a good solution. The recovery of RID with this mode cation is not attempted in this work and is left for future implementation.
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Books on the topic "Ray-Born"

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Ray Charles: "I was born with music inside me". Enslow Publishers, 2008.

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Ray Charles: "I Was Born With Music Inside Me" (African-American Biography Library). Enslow Publishers, 2007.

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Hughes, Jim. C-arm systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780198813170.003.0002.

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This chapter covers the design and functions of mobile C-arm X-ray systems used in intra-operative imaging (also known as ‘image intensifiers’, or IIs), including the movements and adjustments used for positioning and systems of X-ray production and image generation. C-arm and mobile C-arm imaging technology was born of the necessity to perform real-time X-ray imaging during surgical procedures. These systems perform real-time motion or cine imaging series as well as still images. The larger units, which are fixed, are generally used in dedicated imaging suites, whereas the smaller units, being mobile, can be moved to wherever a procedure requiring imaging takes place.
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Peacock, Janet L., Sally M. Kerry, and Raymond R. Balise. Presenting Medical Statistics from Proposal to Publication. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780198779100.001.0001.

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Presenting Medical Statistics from Proposal to Publication (second edition) aims to show readers how to conduct a wide range of statistical analyses from sample size calculations through to multifactorial regressions that are needed in the research process. The second edition of ‘Presenting’ has been revised and updated and now includes Stata, SAS, SPSS, and R. The book shows how to interpret each computer output and illustrates how to present the results and accompanying text in a format suitable for a peer-reviewed journal article or research report. All analyses are illustrated using real data and all programming code, outputs, and datasets used in the book are available on a website for readers to freely download and use. ‘Presenting’ includes practical information and helpful tips for software, all statistical methods used, and the research process. It is written by three experienced biostatisticians, Janet Peacock, Sally Kerry, and Ray Balise from the UK and the USA, and is born out of their extensive experience conducting collaborative medical research, teaching medical students, physicians, and other health professionals, and providing researchers with advice.
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Eller, Jonathan R. From the Nursery to the Library. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252036293.003.0002.

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This chapter discusses Ray Bradbury's early life, from his birth up to the time he developed a passion for reading in the libraries and his arrival in Los Angeles in 1934. In his autobiographical anecdotes, Bradbury claims to remember the trauma of birth, the sensation of breastfeeding, the pain of circumcision, and infant nightmares about being born. This chapter begins with a discussion of Bradbury's memories of his birth —which he believed were were the result of heightened development of his senses —before turning to some of the challenges he encountered as a child. It then considers Bradbury's trips to the Waukegan Public Library and his subsequent library pilgrimages; his instinctive approach to the library; the books that drew his interest the most, including the science fiction and fantasy stories of Edmond Hamilton and Jack Williamson; and the influence of the pioneering genre pulps on his early professional writing. The chapter also examines Bradbury's education and how his sense of authorship developed and concludes with an overview of his life in California.
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Book chapters on the topic "Ray-Born"

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Jochum, L. "The Validity of the Born Approximation for the Imaging of 3-D Objects in X-Ray Microscopy." In X-Ray Microscopy III. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-540-46887-5_64.

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Bagge, Erich R. "When Muons and Pions were Born." In Early History of Cosmic Ray Studies. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5434-2_15.

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Coppens, Philip. "Scattering of X-rays and Neutrons." In X-Ray Charge Densities and Chemical Bonding. Oxford University Press, 1997. http://dx.doi.org/10.1093/oso/9780195098235.003.0003.

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This chapter starts with a discussion of the classical treatment of X-ray scattering, followed by a brief overview of the quantum-mechanical theory in the first Born approximation. The scattering of a periodic arrangement is derived by considering the crystal as a convolution of the unit cell contents and a periodic lattice. The atomic description of the charge density, which is the basis for structure analysis, is introduced. The origin of resonance anomalous scattering is discussed. While its effect must be accounted for before charge densities can be derived from the X-ray scattering amplitudes, resonance scattering itself can give invaluable information on the electronic states of the resonating atoms. The final section of this chapter deals with the scattering of neutrons by atomic nuclei. Nuclear neutron scattering is independent of the distribution of the electrons, and can provide atomic positions and thermal amplitudes unbiased by the bonding effects which are the subject of this book. In the classical theory of scattering (Cohen-Tannoudji et al. 1977, James 1982), atoms are considered to scatter as dipole oscillators with definite natural frequencies. They undergo harmonic vibrations in the electromagnetic field, and emit radiation as a result of the oscillations.
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Rhodes, John David. "All Too Easy." In Spectacle of Property. University of Minnesota Press, 2017. http://dx.doi.org/10.5749/minnesota/9781517903695.003.0003.

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Takes up the modernist house as it appears in films like A Star is Born (George Cukor, 1954), House (Charles and Ray Eames, 1955), and more recent films and moving image media such as The Anniversary Party (Alan Cumming and Jennifer Jason Leigh, 2001), A Single Man (Tom Ford, 2009), and Stephen Prina’sThe Way He Always Wanted It, II (2008). The chapter also considers a strange site of coincidence between modernist architecture and the movies: the house designed by Richard Neutra for the director Josef von Sternberg that then passed into the hands of Ayn Rand, who was also working in the film industry.
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Pateman, Matthew. "‘The word is incest’:1 Narrative, affect and judgement in and across the Lolitas." In Incest in contemporary literature. Manchester University Press, 2018. http://dx.doi.org/10.7228/manchester/9781526122162.003.0005.

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Through intertext, adaptation, nominative re-births and epiphanies, Lolita (1955) enacts a kind of incestuous narcissism, a self-consuming act of libidinality and linguistic desire that offers a fantasy of self-exculpation and discovery, a narrative of abuse and trauma, and a meta-fiction that revels in the performative perversions its characters suffer from. Each part of the novel is born of an incestuous relationship with an earlier (part of the) text, every subsequent re-statement of Lolita carries this textual-familial weight.This essay frames an analysis of the novel and its two filmic daughters in the light of these three strands: a realist fantasy of a man’s maniac relationship with a girl who becomes his daughter and sexual partner; his ‘confession’, her distorted trauma tale; the various formal, stylistic, intertextual “incests” that stand in dizzying juxtaposition to the ‘ethical impact’ assigned to it by the pre-facing John Ray Jr.
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Ferry, Georgina. "Max Perutz and the SPSL." In In Defence of Learning. British Academy, 2011. http://dx.doi.org/10.5871/bacad/9780197264812.003.0006.

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This chapter focuses on Austrian-born molecular biologist Max Perutz (1914–2002). Perutz was one of twenty scientific refugees from continental Europe who went on to win Nobel Prizes. A chemist and molecular biologist, he led the first successful attempt to discover the three-dimensional structure of protein molecules using X-ray crystallography, for which he shared the 1962 Nobel Prize. He was the founding chairman of the Laboratory of Molecular Biology in Cambridge, an institution that continues to thrive and counts thirteen Nobel Prize-winners among those who have spent time in its laboratories. Although Perutz applied to the Society for the Protection of Science and Learning (SPSL) for funding, in the event he did not need their money. His case, however, offers an excellent example of the emotional and practical support SPSL's officers extended to all academics who found themselves in precarious situations in the years following the rise to power of the Nazis in Germany and their subsequent conquest or annexation of neighbouring countries.
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Cantor, Brian. "Bragg’s Law." In The Equations of Materials. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198851875.003.0002.

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The diffraction of X-rays is used as the main method for determining the atomic and molecular structures of inorganic and biological materials. The basic law of diffraction was discovered by Lawrence Bragg when he was a student at Cambridge University and he was just 22 years old. Bragg’s law explains how the angle of a diffracted X-ray beam varies with the wavelength of the X-rays and the spacing of the atoms and molecules in the material. This chapter examines the way X-rays are generated and scattered by electrons, atoms and crystals; the use of structure factors and Fourier transforms to calculate the intensity of the scattered X-rays; and the effect of using electrons or neutrons instead of X-rays. Bragg was born and brought up in Adelaide in Australia. He discovered Bragg’s law with the help of his father, William, after they had moved to England. Lawrence was a Professor at Manchester University, Cambridge University, and the Royal Institution; contributed to the development of range-finding, asdic, and sonar during the First and Second World Wars; and supervised Crick and Watson when they discovered the structure of DNA.
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Fisher, David. "The Neutrino Revolution." In Much Ado about (Practically) Nothing. Oxford University Press, 2010. http://dx.doi.org/10.1093/oso/9780195393965.003.0022.

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But while all this was going on, while the noble gases were being used to work out all the details of stellar processes, a different argon-based experiment was sneaking in and threatening to upset the whole applecart. I first began to learn about it way back in the fading summer of 1958, when I pulled myself up off the Westhampton sands and sauntered back to the lab, angry—in my own self-importance—that Gert Friedlander had hopped off to Europe and left me on my own. You’ll remember Ray Davis, in whose lab I was to work on the iron meteorite K/Ar problem? Well, I first met him that summer when I found Ollie Schaeffer and his mass spectrometer. In the lab next door was this courtly, soft-spoken Southern gentleman, Raymond Davis, Junior, who was putting together a most unlikely experiment and who invited me to join him in his journey into the unknown. Except that it wasn’t really unknown. It was a basic part of quantum mechanics, the theory describing the inner workings of atomic nuclei, which was put together largely during the 1920s and ‘30s—some thirty years before my sojourn at Brookhaven, and which I considered a time of ancient history, not quite real. Oh, I accepted that the 1920s had really existed, but in an intellectual way only, as a sort of existential fantasy—they had happened before I was born. (I first noticed this in others when, in the 1980s, I referred during a class lecture to the Kennedy assassination and was received with blank, uninterested stares. The students knew about it, but it had happened before they were born and had the same status as the Lincoln assassination: it was true, certainly, but basically it was a story grown-ups told.) It’s hard to realize that I’m writing this now more than twice as far removed from my Brookhaven years as those years were from the beginnings of quantum mechanics. So anyhow, it was known back then that the nuclei of atoms were held together by a binding energy which can be expressed through Einstein’s famous equation E = mc2.
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Vas-Deyres, Natacha. "Jean-Claude Dunyach, Poet of the Flesh." In Lingua Cosmica. University of Illinois Press, 2018. http://dx.doi.org/10.5622/illinois/9780252041754.003.0003.

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Jean-Claude Dunyach, born in 1957, has published more than a hundred short stories in a career of over thirty years. He belongs to a generation of contemporary French science-fiction writers that includes figures such as Roland C. Wagner, Emmanuel Jouanne, and Jean-Marc Ligny. At a time when French science fiction was struggling to explore new ways of storytelling influenced by surrealism or the Nouveau Roman, this generation has given science fiction new life by mixing a hard-science approach with the supernatural, fantasy and the fantastic, while paying glowing tributes to authors of the Golden Age of Anglo-Saxon sf: Duntach’s influences include Samuel Delany, Ray Bradbury, and more particularly, J. G. Ballard. The specificity of Dunyach consists of making metaphysical concepts tangible for the reader by giving them a symbolic substance: time itself becomes tangible as a sea of sand, stone, ashes, sea water; love stories can be petrified as semiprecious stones and worn as trophies—even the universe itself complies as a sheet of paper or a piece of cloth that can be creased. The characters in his short stories are hurt or twisted, often with cracks in their past, but they still act as links between the individual and the collective: for Dunyach, any kind of system—in particular a political one—can be defined by the way it deals with marginality. Dunyach favors an individual point of view for a better detection of the system’s weaknesses (cities, societies, religions, or relationships with time and death). In that respect, the most accomplished characters in his work are the “AnimalCities”: these living, extraterrestrial, city-shaped animals made of flesh and cartilage travel through space from node to node on the web of the universe. Their symbiotic liaison with humanity gradually leads humans to understand the global nature of reality.
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Marks II, Robert J. "Introduction." In Handbook of Fourier Analysis & Its Applications. Oxford University Press, 2009. http://dx.doi.org/10.1093/oso/9780195335927.003.0006.

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Jean Baptiste Joseph Fourier’s powerful idea of decomposition of a signal into sinusoidal components has found application in almost every engineering and science field. An incomplete list includes acoustics [1497], array imaging [1304], audio [1290], biology [826], biomedical engineering [1109], chemistry [438, 925], chromatography [1481], communications engineering [968], control theory [764], crystallography [316, 498, 499, 716], electromagnetics [250], imaging [151], image processing [1239] including segmentation [1448], nuclear magnetic resonance (NMR) [436, 1009], optics [492, 514, 517, 1344], polymer characterization [647], physics [262], radar [154, 1510], remote sensing [84], signal processing [41, 154], structural analysis [384], spectroscopy [84, 267, 724, 1220, 1293, 1481, 1496], time series [124], velocity measurement [1448], tomography [93, 1241, 1242, 1327, 1330, 1325, 1331], weather analysis [456], and X-ray diffraction [1378], Jean Baptiste Joseph Fourier’s last name has become an adjective in the terms like Fourier series [395], Fourier transform [41, 51, 149, 154, 160, 437, 447, 926, 968, 1009, 1496], Fourier analysis [151, 379, 606, 796, 1472, 1591], Fourier theory [1485], the Fourier integral [395, 187, 1399], Fourier inversion [1325], Fourier descriptors [826], Fourier coefficients [134], Fourier spectra [624, 625] Fourier reconstruction [1330], Fourier spectrometry [84, 355], Fourier spectroscopy [1220, 1293, 1438], Fourier array imaging [1304], Fourier transform nuclear magnetic resonance (NMR) [429, 1004], Fourier vision [1448], Fourier optics [419, 517, 1343], and Fourier acoustics [1496]. Applied Fourier analysis is ubiquitous simply because of the utility of its descriptive power. It is second only to the differential equation in the modelling of physical phenomena. In contrast with other linear transforms, the Fourier transform has a number of physical manifestations. Here is a short list of everyday occurrences as seen through the lens of the Fourier paradigm. • Diffracting coherent waves in sonar and optics in the far field are given by the two dimensional Fourier transform of the diffracting aperture. Remarkably, in free space, the physics of spreading light naturally forms a two dimensional Fourier transform. • The sampling theorem, born of Fourier analysis, tells us how fast to sample an audio waveform to make a discrete time CD or an image to make a DVD.
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Conference papers on the topic "Ray-Born"

1

Eaton, David W. S., and Robert R. Stewart. "Anisotropic ray‐born migration/inversion." In SEG Technical Program Expanded Abstracts 1991. Society of Exploration Geophysicists, 1991. http://dx.doi.org/10.1190/1.1888795.

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Ribodetti, Alessandra, Philippe Thierry, Gilles Lambaré, and Stéphane Operto. "Improved multiparameter ray+Born migration/inversion." In SEG Technical Program Expanded Abstracts 2000. Society of Exploration Geophysicists, 2000. http://dx.doi.org/10.1190/1.1815560.

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3

Baina, Reda, and Pascal Podvin. "Ray + Born vs. ray + Rytov modeling for forward-scattering simulation." In SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, edited by Siamak Hassanzadeh. SPIE, 1996. http://dx.doi.org/10.1117/12.255204.

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4

Forgues, E., and G. Lambaré. "Resolution of Multi-Parameter Ray+Born Inversion." In 59th EAGE Conference & Exhibition. European Association of Geoscientists & Engineers, 1997. http://dx.doi.org/10.3997/2214-4609-pdb.131.gen1997_p115.

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5

J. Moser, T. "Review of Ray-born Forward Modeling for Migration." In 72nd EAGE Conference and Exhibition incorporating SPE EUROPEC 2010. European Association of Geoscientists & Engineers, 2010. http://dx.doi.org/10.3997/2214-4609.201400833.

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Nicoletis, L., M. Mendes, P. Compte, and R. Wilmet. "Quantitative Ray-Born Elastic Migration of VSP's Data." In 57th EAEG Meeting. EAGE Publications BV, 1995. http://dx.doi.org/10.3997/2214-4609.201409270.

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7

Thierry, P., and J. Pajchel. "3D Ray + Born or Ray + Kirchoff Migration/Inversion - State of the Art." In EAGE/SEG Workshop - Depth Imaging of Reservoir Attributes. European Association of Geoscientists & Engineers, 1998. http://dx.doi.org/10.3997/2214-4609.201406695.

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8

Operto, S., G. Lambaré, and P. Thierry. "CPU Efficient Ray+Born Inversion for Complex Velocity Field." In 59th EAGE Conference & Exhibition. European Association of Geoscientists & Engineers, 1997. http://dx.doi.org/10.3997/2214-4609-pdb.131.gen1997_p033.

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9

Xu, S., S. Operto, and G. Lambaré. "Can we Image Complex Structures with Ray-Born Inversion?" In 60th EAGE Conference and Exhibition. European Association of Geoscientists & Engineers, 1998. http://dx.doi.org/10.3997/2214-4609.201408139.

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10

Miranda, A. C. D., and V. Červený. "Ray-Born Synthetic Seismograms in Complex Structures Containing Scatterers." In 2nd International Congress of the Brazilian Geophysical Society. European Association of Geoscientists & Engineers, 1991. http://dx.doi.org/10.3997/2214-4609-pdb.316.145.

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