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Computational Methods for Electromagnetic Inverse Scattering

Xudong Chen

Author : Xudong Chen
Publisher : John Wiley & Sons
Page : 328 pages
File Size : 44,7 Mb
Release : 2018-03-07
Category : Science
ISBN : 9781119312017

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Computational Methods for Electromagnetic Inverse Scattering by Xudong Chen Pdf

A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods Emphasizes theory, mathematical derivation and physical insights of various inverse scattering problems Written by a leading expert in the field

Computational Methods for Electromagnetic Inverse Scattering

Xudong Chen

Author : Xudong Chen
Publisher : John Wiley & Sons
Page : 325 pages
File Size : 50,7 Mb
Release : 2018-07-18
Category : Science
ISBN : 9781119311980

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Computational Methods for Electromagnetic Inverse Scattering by Xudong Chen Pdf

A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods Emphasizes theory, mathematical derivation and physical insights of various inverse scattering problems Written by a leading expert in the field

Computational Electromagnetics and Model-Based Inversion

Harold A Sabbagh,R. Kim Murphy,Elias H. Sabbagh,John C. Aldrin,Jeremy S Knopp

Author : Harold A Sabbagh,R. Kim Murphy,Elias H. Sabbagh,John C. Aldrin,Jeremy S Knopp
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 50,6 Mb
Release : 2013-06-22
Category : Technology & Engineering
ISBN : 9781441984296

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Computational Electromagnetics and Model-Based Inversion by Harold A Sabbagh,R. Kim Murphy,Elias H. Sabbagh,John C. Aldrin,Jeremy S Knopp Pdf

This volume will define the direction of eddy-current technology in nondestructive evaluation (NDE) in the twenty-first century. It describes the natural marriage of the computer to eddy-current NDE, and its publication was encouraged by favorable responses from workers in the nuclear-power and aerospace industries. It will be used by advanced students and practitioners in the fields of computational electromagnetics, electromagnetic inverse-scattering theory, nondestructive evaluation, materials evaluation and biomedical imaging, among others, and will be based on our experience in applying the subject of computational electromagnetics to these areas, as manifested by our recent research and publications. Finally, it will be a reference to future monographs on advanced NDE that are being contemplated by our colleagues and others. Its importance lies in the fact that it will be the first book to show that advanced computational methods can be used to solve practical, but difficult, problems in eddy-current NDE. In fact, in many cases these methods are the only things available for solving the problems. The book will cover the topic of computational electromagnetics in eddy-current nondestructive evaluation (NDE) by emphasizing three distinct topics: (a) fundamental mathematical principles of volume-integral equations as a subset of computational electromagnetics, (b) mathematical algorithms applied to signal-processing and inverse scattering problems, and (c) applications of these two topics to problems in which real and model data are used. This will make the book more than an academic exercise; we expect it to be valuable to users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging. We know of no other book on the market that covers this material in the manner in which we will present it, nor are there any books, to our knowledge, that apply this material to actual test situations that are of importance to the industries cited. It will be the first book to actually define the modern technology of eddy-current NDE, by showing how mathematics and the computer will solve problems more effectively than current analog practice.

Analytical and Computational Methods in Scattering and Applied Mathematics

Fadil Santosa,Ivar Stakgold

Author : Fadil Santosa,Ivar Stakgold
Publisher : CRC Press
Page : 288 pages
File Size : 51,7 Mb
Release : 2019-05-07
Category : Mathematics
ISBN : 9781420035971

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Analytical and Computational Methods in Scattering and Applied Mathematics by Fadil Santosa,Ivar Stakgold Pdf

Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematic

Numerical Methods for Inverse Scattering Problems

Jingzhi Li,Hongyu Liu

Author : Jingzhi Li,Hongyu Liu
Publisher : Springer Nature
Page : 373 pages
File Size : 46,8 Mb
Release : 2023-09-07
Category : Science
ISBN : 9789819937721

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Numerical Methods for Inverse Scattering Problems by Jingzhi Li,Hongyu Liu Pdf

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.

Microwave Imaging and Electromagnetic Inverse Scattering Problems

Loreto Di Donato,Andrea F. Morabito

Author : Loreto Di Donato,Andrea F. Morabito
Publisher : MDPI
Page : 170 pages
File Size : 55,6 Mb
Release : 2020-05-20
Category : Technology & Engineering
ISBN : 9783039219506

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Microwave Imaging and Electromagnetic Inverse Scattering Problems by Loreto Di Donato,Andrea F. Morabito Pdf

Microwave imaging techniques allow for the development of systems that are able to inspect, identify, and characterize in a noninvasive fashion under different scenarios, ranging from biomedical to subsurface diagnostics as well as from surveillance and security applications to nondestructive evaluation. Such great opportunities, though, are actually severely limited by difficulties arising from the solution of the underlying inverse scattering problem. As a result, ongoing research efforts in this area are devoted to developing inversion strategies and experimental apparatus so that they are as reliable and accurate as possible with respect to reconstruction capabilities and resolution performance, respectively. The intent of this Special Issue is to present the experiences of leading scientists in the electromagnetic inverse scattering community, as well as to serve as an assessment tool for people who are new to the area of microwave imaging and electromagnetic inverse scattering problems.

An Introduction to Electromagnetic Inverse Scattering

K.I. Hopcraft,P.R. Smith

Author : K.I. Hopcraft,P.R. Smith
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 41,5 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401580144

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An Introduction to Electromagnetic Inverse Scattering by K.I. Hopcraft,P.R. Smith Pdf

With the advent of the comparatively new disciplines of remote sensing and non-destructive evaluation of materials, the topic of inverse scattering has broadened from its origins in elementary particle physics to encompass a diversity of applications. One such area which is of increasing importance in inverse scattering within the context of electromagnetism and this text aims to serve as an introduction to that particular speciality. The subject's development has progressed at the hands of engineers, mathematicians and physicists alike, with an inevitable disparity of emphasis and notation. One of the main objectives of this text is to distill the essence of the subject and to present it in the form of a graduated and coherent development of ideas and techniques. The text provides a physical approach to inverse scattering solutions, emphasizing the applied aspects rather than the mathematical rigour. The authors' teaching and research backgrounds in physics, electrical engineering and applied mathematics enable them to explore and stress the cross disciplinary nature of the subject. This treatment will be of use to anyone embarking on a theoretical or practical study of inverse electromagnetic scattering.

Forward and Inverse Scattering Algorithms Based on Contrast Source Integral Equations

Peter M. van den Berg

Author : Peter M. van den Berg
Publisher : John Wiley & Sons
Page : 544 pages
File Size : 45,8 Mb
Release : 2021-02-26
Category : Science
ISBN : 9781119741572

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Forward and Inverse Scattering Algorithms Based on Contrast Source Integral Equations by Peter M. van den Berg Pdf

A guide to wave-field computational methods based on contrast source type of integral equations Forward and Inverse Scattering Algorithms Based on Contrast Source Integral Equations presents a text that examines wave-field computational methods based on contrast source type of integral equations and the computational implementation in wave-field based imaging methods. Written by a noted expert on the topic, the book provides a guide to efficient methods for calculating wave fields in a known inhomogeneous medium. The author provides a link between the fundamental scattering theory and its discrete counterpart and discusses the forward scattering problem based on the contrast-source integral equations. The book fully describes the calculation of wave fields inside and outside a scattering object with general shape and material property and reviews the inverse scattering problem, in which material properties are resolved from wave-field measurements outside the scattering object. The theoretical approach is the inverse of the forward scattering problem that determines how radiation is scattered, based on the scattering object. This important book: Provides a guide to the effects of scalar waves, acoustic waves and electromagnetic waves Describes computer modeling in 1D, 2D and 3D models Includes an online site for computer codes with adjustable configurations Written for students, researchers, and professionals, Forward and Inverse Scattering Algorithms Based on Contrast Source Integral Equations offers a guide to wave-field computational methods based on contrast source type of integral equations and the computational implementation in wave-field based imaging methods.

Electromagnetic Scattering

Piergiorgio Uslenghi

Author : Piergiorgio Uslenghi
Publisher : Elsevier
Page : 812 pages
File Size : 44,6 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323142434

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Electromagnetic Scattering by Piergiorgio Uslenghi Pdf

Electromagnetic Scattering is a collection of studies that aims to discuss methods, state of the art, applications, and future research in electromagnetic scattering. The book covers topics related to the subject, which includes low-frequency electromagnetic scattering; the uniform asymptomatic theory of electromagnetic edge diffraction; analyses of problems involving high frequency diffraction and imperfect half planes; and multiple scattering of waves by periodic and random distribution. Also covered in this book are topics such as theories of scattering from wire grid and mesh structures; the electromagnetic inverse problem; computational methods for transmission of waves; and developments in the use of complex singularities in the electromagnetic theory. Engineers and physicists who are interested in the study, developments, and applications of electromagnetic scattering will find the text informative and helpful.

Inverse Acoustic and Electromagnetic Scattering Theory

David Colton,Rainer Kress

Author : David Colton,Rainer Kress
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 53,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662028353

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Inverse Acoustic and Electromagnetic Scattering Theory by David Colton,Rainer Kress Pdf

It has now been almost ten years since our first book on scattering theory ap peared [32]. At that time we claimed that "in recent years the development of integral equation methods for the direct scattering problem seems to be nearing completion, whereas the use of such an approach to study the inverse scattering problem has progressed to an extent that a 'state of the art' survey appears highly desirable". Since we wrote these words, the inverse scattering problem for acoustic and electromagnetic waves has grown from being a few theoreti cal considerations with limited numerical implementations to a weH developed mathematical theory with tested numerical algorithms. This maturing of the field of inverse scattering theory has been based on the realization that such problems are in general not only nonlinear but also improperly posed in the sense that the solution does not depend continuously on the measured data. This was emphasized in [32] and treated with the ideas and tools available at that time. Now, almost ten years later, these initial ideas have developed to the extent that a monograph summarizing the mathematical basis of the field seems appropriate. This book is oUf attempt to write such a monograph. The inverse scattering problem for acoustic and electromagnetic waves can broadly be divided into two classes, the inverse obstacle problem and the inverse medium problem.

Computational Methods for Applied Inverse Problems

Yanfei Wang,Anatoly G. Yagola,Changchun Yang

Author : Yanfei Wang,Anatoly G. Yagola,Changchun Yang
Publisher : Walter de Gruyter
Page : 552 pages
File Size : 43,7 Mb
Release : 2012-10-30
Category : Mathematics
ISBN : 9783110259056

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Computational Methods for Applied Inverse Problems by Yanfei Wang,Anatoly G. Yagola,Changchun Yang Pdf

Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging. The book serves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.

The Linear Sampling Method in Inverse Electromagnetic Scattering

Fioralba Cakoni,David Colton,Peter Monk

Author : Fioralba Cakoni,David Colton,Peter Monk
Publisher : SIAM
Page : 147 pages
File Size : 55,5 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 9780898719406

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The Linear Sampling Method in Inverse Electromagnetic Scattering by Fioralba Cakoni,David Colton,Peter Monk Pdf

The linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory. It is based on solving a linear integral equation and then using the equation's solution as an indicator function for the determination of the support of the scattering object. This book describes the linear sampling method for a variety of electromagnetic scattering problems. It presents uniqueness theorems and the derivation of various inequalities on the material properties of the scattering object from a knowledge of the far field pattern of the scattered wave.

Light Scattering by Particles

Peter W. Barber,Steven C. Hill

Author : Peter W. Barber,Steven C. Hill
Publisher : World Scientific
Page : 280 pages
File Size : 46,5 Mb
Release : 1990
Category : Science
ISBN : 997150832X

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Light Scattering by Particles by Peter W. Barber,Steven C. Hill Pdf

This book presents the separation-of-variables and T-matrix methods of calculating the scattering of electromagnetic waves by particles. Analytical details and computer programs are provided for determining the scattering and absorption characteristics of the finite-thickness slab, infinite circular cylinder (normal incidence), general axisymmetric particle, and sphere.The computer programs are designed to generate data that is easy to graph and visualize, and test cases in the book illustrate the capabilities of the programs. The connection between the theory and the computer programs is reinforced by references in the computer programs to equations in the text. This cross-referencing will help the reader understand the computer programs, and, if necessary, modify them for other purposes.

Electromagnetic Inverse Profiling

A. G. Tijhuis

Author : A. G. Tijhuis
Publisher : VSP
Page : 498 pages
File Size : 41,6 Mb
Release : 1987-12
Category : Science
ISBN : 906764093X

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Electromagnetic Inverse Profiling by A. G. Tijhuis Pdf

This monograph is concerned with the direct-scattering of electromagnetic waves by one- and two-dimensional objects, and the use of this technique in one-dimensional inverse profiling. It discusses results of research into the method of this technique and its application to specific problems. Several techniques are presented for solving transient electromagnetic direct-scattering problems. These problems are solved indirectly, via a Fourier or Laplace transformation to the real- or complex-frequency domain, as well as directly in the time domain. For the one-dimensional case it is described how the special features of the respective techniques are also exploited to tackle the inverse problem of determining obstacle properties from the scattered field excited by a known incident field. The problems of both identification and of inverse profiling are addressed. For a range of specific problems representative numerical results are presented and discussed. Particular attention is devoted to the numerical implementation and to the physical interpretation of the theoretical numerical results obtained. With respect to inverse-scattering the emphasis is on the band-limiting effects that may arise due to approximation errors in the various inversion schemes employed.

Computational Methods for Electromagnetic Phenomena

Wei Cai

Author : Wei Cai
Publisher : Unknown
Page : 464 pages
File Size : 44,8 Mb
Release : 2014-05-14
Category : TECHNOLOGY & ENGINEERING
ISBN : 113962542X

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Computational Methods for Electromagnetic Phenomena by Wei Cai Pdf

The first book of its kind to cover a wide range of computational methods for electromagnetic phenomena.

Computational Methods For Electromagnetic Inverse Scattering

Computational Methods for Electromagnetic Inverse Scattering by Xudong Chen Pdf

Computational Methods for Electromagnetic Inverse Scattering by Xudong Chen Pdf

Computational Electromagnetics and Model-Based Inversion by Harold A Sabbagh,R. Kim Murphy,Elias H. Sabbagh,John C. Aldrin,Jeremy S Knopp Pdf

Analytical and Computational Methods in Scattering and Applied Mathematics by Fadil Santosa,Ivar Stakgold Pdf

Numerical Methods for Inverse Scattering Problems by Jingzhi Li,Hongyu Liu Pdf

Microwave Imaging and Electromagnetic Inverse Scattering Problems by Loreto Di Donato,Andrea F. Morabito Pdf

An Introduction to Electromagnetic Inverse Scattering by K.I. Hopcraft,P.R. Smith Pdf

Forward and Inverse Scattering Algorithms Based on Contrast Source Integral Equations by Peter M. van den Berg Pdf

Electromagnetic Scattering by Piergiorgio Uslenghi Pdf

Inverse Acoustic and Electromagnetic Scattering Theory by David Colton,Rainer Kress Pdf

Computational Methods for Applied Inverse Problems by Yanfei Wang,Anatoly G. Yagola,Changchun Yang Pdf

The Linear Sampling Method in Inverse Electromagnetic Scattering by Fioralba Cakoni,David Colton,Peter Monk Pdf

Light Scattering by Particles by Peter W. Barber,Steven C. Hill Pdf

Electromagnetic Inverse Profiling by A. G. Tijhuis Pdf

Computational Methods for Electromagnetic Phenomena by Wei Cai Pdf

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