Inverse Problems And Inverse Scattering Of Plane Waves
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Inverse Problems And Inverse Scattering Of Plane Waves
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Author : Dilip N. Ghosh Roy
language : en
Publisher: Academic Press
Release Date : 2001-10-04
Inverse Problems And Inverse Scattering Of Plane Waves written by Dilip N. Ghosh Roy and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-04 with Computers categories.
The purpose of this text is to present the theory and mathematics of inverse scattering, in a simple way, to the many researchers and professionals who use it in their everyday research. While applications range across a broad spectrum of disciplines, examples in this text will focus primarly, but not exclusively, on acoustics. The text will be especially valuable for those applied workers who would like to delve more deeply into the fundamentally mathematical character of the subject matter. Practitioners in this field comprise applied physicists, engineers, and technologists, whereas the theory is almost entirely in the domain of abstract mathematics. This gulf between the two, if bridged, can only lead to improvement in the level of scholarship in this highly important discipline. This is the book's primary focus.
Point Sources And Multipoles In Inverse Scattering Theory
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Author : Roland Potthast
language : en
Publisher: CRC Press
Release Date : 2001-05-30
Point Sources And Multipoles In Inverse Scattering Theory written by Roland Potthast and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-30 with Mathematics categories.
Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering. The study of inverse scattering, in particular, has developed rapidly with the ability to perform computational simulations of scattering processes and led to remarkable advances in a range of
Inverse Problems In Scattering And Imaging
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Author : Bertero
language : en
Publisher: CRC Press
Release Date : 1992-02-27
Inverse Problems In Scattering And Imaging written by Bertero and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-27 with Technology & Engineering categories.
Inverse Problems in Scattering and Imaging is a collection of lectures from a NATO Advanced Research Workshop that integrates the expertise of physicists and mathematicians in different areas with a common interest in inverse problems. Covering a range of subjects from new developments on the applied mathematics/mathematical physics side to many areas of application, the book achieves a blend of research, review, and tutorial contributions. It is of interest to researchers in the areas of applied mathematics and mathematical physics as well as those working in areas where inverse problems can be applied.
Numerical Methods For Inverse Scattering Problems
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Author : Jingzhi Li
language : en
Publisher: Springer Nature
Release Date : 2023-09-07
Numerical Methods For Inverse Scattering Problems written by Jingzhi Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-07 with Science categories.
This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves. Inverse scattering problems are concerned with identifying unknown or inaccessible objects by wave probing data, which makes possible many industrial and engineering applications including radar and sonar, medical imaging, nondestructive testing, remote sensing, and geophysical exploration. The mathematical study of inverse scattering problems is an active field of research. This book presents a comprehensive and unified mathematical treatment of various inverse scattering problems mainly from a numerical reconstruction perspective. It highlights the collaborative research outputs by the two groups of the authors yet surveys and reviews many existing results by global researchers in the literature. The book consists of three parts respectively corresponding to the studies on acoustic, electromagnetic, and elastic scattering problems. In each part, the authors start with in-depth theoretical and computational treatments of the forward scattering problems and then discuss various numerical reconstruction schemes for the associated inverse scattering problems in different scenarios of practical interest. In addition, the authors provide an overview of the existing results in the literature by other researchers. This book can serve as a handy reference for researchers or practitioners who are working on or implementing inverse scattering methods. It can also serve as a graduate textbook for research students who are interested in working on numerical algorithms for inverse scattering problems.
Inverse Acoustic And Electromagnetic Scattering Theory
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Author : David Colton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-26
Inverse Acoustic And Electromagnetic Scattering Theory written by David Colton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-26 with Mathematics categories.
The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scattering problem as well as expanded treatments of iteration methods and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integral equations in Sobolev spaces. As in the previous editions, emphasis has been given to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory. Review of earlier editions: “Colton and Kress have written a scholarly, state of the art account of their view of direct and inverse scattering. The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number of open problems and will be a source of inspiration for many years to come.” SIAM Review, September 1994 “This book should be on the desk of any researcher, any student, any teacher interested in scattering theory.” Mathematical Intelligencer, June 1994
The Blagove Enski Identity And The Inverse Scattering Problem
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Author : Kenrick Bingham
language : en
Publisher:
Release Date : 2005
The Blagove Enski Identity And The Inverse Scattering Problem written by Kenrick Bingham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Electromagnetic waves categories.
Inverse Problems In Wave Propagation
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Author : Guy Chavent
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Inverse Problems In Wave Propagation written by Guy Chavent and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Inverse problems in wave propagation occur in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic non-destructive testing, biomedical ultrasonics, radar, astrophysics, as well as other areas of science and technology. The papers in this volume cover these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.
Inverse Problems Of Acoustic And Elastic Waves
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Author : Fadil Santosa
language : en
Publisher: SIAM
Release Date : 1984-01-01
Inverse Problems Of Acoustic And Elastic Waves written by Fadil Santosa and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Science categories.
Contents: A Survey of the Vocal Tract Inverse Problem: Theory, Computations and Experiments; Convergence of Discrete Inversion Solutions; Inversion of Band Limited Reflection Seismograms; Some Recent Results in Inverse Scattering Theory; Well-Posed Questions and Exploration of the Space of Parameters in Linear and Nonlinear Inversion; The Seismic Reflection Inverse Problem; Migration Methods: Partial but Efficient Solutions to the Seismic Inverse Problem; Relationship Between Linearized Inverse Scattering and Seismic Migration; Project Review on Geophysical and Ocean Sound Speed Profile Inversion; Acoustic Tomography; Inverse Problems of Acoustic and Elastic Waves; Finite Element Methods with Anisotropic Diffusion for Singularly Perturbed Convection Diffusion Problems; Adaptive Grid Methods for Hyperbolic Partial Differential Equations; Some Simple Stability Results for Inverse Scattering Problems; Inverse Scattering for Stratified, Isotropic Elastic Media Using the Trace Method; A Layer-Stripping Solution of the Inverse Problem for a One-Dimensional Elastic Medium; On Constructing Solutions to an Inverse Euler-Bernoulli Beam Problem; Far Field Patterns in Acoustic and Electromagnetic Scattering Theory; Renaissance Inversion; On the Equilibrium Equations of Poroelasticity; GPST-A Versatile Numerical Method for Solving Inverse Problems of Partial Differential Equations; and Applications of Seismic Ray-Tracing Techniques to the Study of Earthquake Focal Regions.
Inverse Problems In Quantum Scattering Theory
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Author : K. Chadan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Inverse Problems In Quantum Scattering Theory written by K. Chadan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Science categories.
Inverse Problems In Scattering
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Author : G.M.L. Gladwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Inverse Problems In Scattering written by G.M.L. Gladwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts to solve the one-dimensional inverse scattering problem. Layered media are treated in Chapters 1--6 and quantum mechanical models in Chapters 7--10. Thus, Chapters 2 and 6 show the connections between matrix theory, Schur's lemma in complex analysis, the Levinson--Durbin algorithm, filter theory, moment problems and orthogonal polynomials. The chapters devoted to the simplest inverse scattering problems in quantum mechanics show how the Gel'fand--Levitan and Marchenko equations arose. The introduction to this problem is an excursion through the inverse problem related to a finite difference version of Schrödinger's equation. One of the basic problems in inverse quantum scattering is to determine what conditions must be imposed on the scattering data to ensure that they correspond to a regular potential, which involves Lebesque integrable functions, which are introduced in Chapter 9.