Inverse Scattering Problems For Electromagnetic Waves

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Inverse Acoustic and Electromagnetic Scattering Theory

Author : David Colton
Publisher : Springer Science & Business Media
ISBN 13 : 3662028352
Total Pages : 316 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Inverse Acoustic and Electromagnetic Scattering Theory by : David Colton

Download or read book Inverse Acoustic and Electromagnetic Scattering Theory written by David Colton and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Inverse Acoustic and Electromagnetic Scattering Theory

Author : David Colton
Publisher : Springer Nature
ISBN 13 : 3030303519
Total Pages : 518 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Inverse Acoustic and Electromagnetic Scattering Theory by : David Colton

Download or read book Inverse Acoustic and Electromagnetic Scattering Theory written by David Colton and published by Springer Nature. This book was released on 2019-11-06 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inverse scattering problem is central to many areas of science and technology such as radar, 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 fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions. Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.

An Introduction to Electromagnetic Inverse Scattering

Author : K.I. Hopcraft
Publisher : Springer Science & Business Media
ISBN 13 : 9401580146
Total Pages : 241 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis An Introduction to Electromagnetic Inverse Scattering by : K.I. Hopcraft

Download or read book An Introduction to Electromagnetic Inverse Scattering written by K.I. Hopcraft and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Methods for Electromagnetic Inverse Scattering

Author : Xudong Chen
Publisher : John Wiley & Sons
ISBN 13 : 1119312000
Total Pages : 328 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Computational Methods for Electromagnetic Inverse Scattering by : Xudong Chen

Download or read book Computational Methods for Electromagnetic Inverse Scattering written by Xudong Chen and published by John Wiley & Sons. This book was released on 2018-03-20 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

The Linear Sampling Method in Inverse Electromagnetic Scattering

Author : Fioralba Cakoni
Publisher : SIAM
ISBN 13 : 0898719399
Total Pages : 146 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Linear Sampling Method in Inverse Electromagnetic Scattering by : Fioralba Cakoni

Download or read book The Linear Sampling Method in Inverse Electromagnetic Scattering written by Fioralba Cakoni and published by SIAM. This book was released on 2011-01-13 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete description of the linear sampling method for electromagnetic waves, important for those researching inverse electromagnetic scattering theory.

Electromagnetic Scattering

Author : Piergiorgio Uslenghi
Publisher : Elsevier
ISBN 13 : 0323142435
Total Pages : 812 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Electromagnetic Scattering by : Piergiorgio Uslenghi

Download or read book Electromagnetic Scattering written by Piergiorgio Uslenghi and published by Elsevier. This book was released on 2012-12-02 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Inverse Scattering and Inverse Spectral Problems

Author : Khosrow Chadan
Publisher : SIAM
ISBN 13 : 0898713870
Total Pages : 206 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis An Introduction to Inverse Scattering and Inverse Spectral Problems by : Khosrow Chadan

Download or read book An Introduction to Inverse Scattering and Inverse Spectral Problems written by Khosrow Chadan and published by SIAM. This book was released on 1997-01-01 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments in inverse spectral and inverse scattering problems.

Maxwell Equation

Author : Isozaki Hiroshi
Publisher : World Scientific
ISBN 13 : 9813232714
Total Pages : 300 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Maxwell Equation by : Isozaki Hiroshi

Download or read book Maxwell Equation written by Isozaki Hiroshi and published by World Scientific. This book was released on 1998-08-15 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can one determine the physical properties of the medium or the geometrical properties of the domain by observing electromagnetic waves? To answer this fundamental problem in mathematics and physics, this book leads the reader to the frontier of inverse scattering theory for electromagnetism. The first three chapters, written comprehensively, can be used as a textbook for undergraduate students. Beginning with elementary vector calculus, this book provides fundamental results for wave equations and Helmholtz equations, and summarizes the potential theory. It also explains the cohomology theory in an easy and straightforward way, which is an essential part of electromagnetism related to geometry. It then describes the scattering theory for the Maxwell equation by the time-dependent method and also by the stationary method in a concise, but almost self-contained manner. Based on these preliminary results, the book proceeds to the inverse problem for the Maxwell equation. The chapters for the potential theory and elementary cohomology theory are good introduction to graduate students. The results in the last chapter on the inverse scattering for the medium and the determination of Betti numbers are new, and will give a current scope for the inverse spectral problem on non-compact manifolds. It will be useful for young researchers who are interested in this field and trying to find new problems.

Direct and Inverse Electromagnetic Scattering

Author : A H Serbest
Publisher : CRC Press
ISBN 13 : 9780582299641
Total Pages : 292 pages
Book Rating : 4.2/5 (996 download)

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Book Synopsis Direct and Inverse Electromagnetic Scattering by : A H Serbest

Download or read book Direct and Inverse Electromagnetic Scattering written by A H Serbest and published by CRC Press. This book was released on 1996-11-29 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a review of developments in the fields of direct and inverse electromagnetic wave scattering. Contributions from leading researchers in these fields from all over the world are gathered in this book to discuss the state of the topic and directions for future research, starting from the fundamental structure of wave scattering problems and finishing with an assessment of the impact of this structure in applications

Inverse Problems in Wave Propagation

Author : Guy Chavent
Publisher : Springer Science & Business Media
ISBN 13 : 1461218780
Total Pages : 502 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Inverse Problems in Wave Propagation by : Guy Chavent

Download or read book Inverse Problems in Wave Propagation written by Guy Chavent and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Inverse Problem of Scattering Theory

Author : Z.S. Agranovich
Publisher : Courier Dover Publications
ISBN 13 : 0486842495
Total Pages : 307 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Inverse Problem of Scattering Theory by : Z.S. Agranovich

Download or read book The Inverse Problem of Scattering Theory written by Z.S. Agranovich and published by Courier Dover Publications. This book was released on 2020-05-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph by two Soviet experts in mathematical physics was a major contribution to inverse scattering theory. The two-part treatment examines the boundary-value problem with and without singularities. 1963 edition.

Electromagnetic Wave Propagation, Radiation, and Scattering

Author : Akira Ishimaru
Publisher : John Wiley & Sons
ISBN 13 : 1119079535
Total Pages : 968 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Electromagnetic Wave Propagation, Radiation, and Scattering by : Akira Ishimaru

Download or read book Electromagnetic Wave Propagation, Radiation, and Scattering written by Akira Ishimaru and published by John Wiley & Sons. This book was released on 2017-08-09 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most methodical treatments of electromagnetic wave propagation, radiation, and scattering—including new applications and ideas Presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today. Part one covers fundamentals of electromagnetic wave propagation, radiation, and scattering. It provides ample end-of-chapter problems and offers a 90-page solution manual to help readers check and comprehend their work. The second part of the book explores up-to-date applications of electromagnetic waves—including radiometry, geophysical remote sensing and imaging, and biomedical and signal processing applications. Written by a world renowned authority in the field of electromagnetic research, this new edition of Electromagnetic Wave Propagation, Radiation, and Scattering: From Fundamentals to Applications presents detailed applications with useful appendices, including mathematical formulas, Airy function, Abel’s equation, Hilbert transform, and Riemann surfaces. The book also features newly revised material that focuses on the following topics: Statistical wave theories—which have been extensively applied to topics such as geophysical remote sensing, bio-electromagnetics, bio-optics, and bio-ultrasound imaging Integration of several distinct yet related disciplines, such as statistical wave theories, communications, signal processing, and time reversal imaging New phenomena of multiple scattering, such as coherent scattering and memory effects Multiphysics applications that combine theories for different physical phenomena, such as seismic coda waves, stochastic wave theory, heat diffusion, and temperature rise in biological and other media Metamaterials and solitons in optical fibers, nonlinear phenomena, and porous media Primarily a textbook for graduate courses in electrical engineering, Electromagnetic Wave Propagation, Radiation, and Scattering is also ideal for graduate students in bioengineering, geophysics, ocean engineering, and geophysical remote sensing. The book is also a useful reference for engineers and scientists working in fields such as geophysical remote sensing, bio–medical engineering in optics and ultrasound, and new materials and integration with signal processing.

The Linear Sampling Method in Inverse Electromagnetic Scattering

Author : Fioralba Cakoni
Publisher : SIAM
ISBN 13 : 0898719402
Total Pages : 147 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Linear Sampling Method in Inverse Electromagnetic Scattering by : Fioralba Cakoni

Download or read book The Linear Sampling Method in Inverse Electromagnetic Scattering written by Fioralba Cakoni and published by SIAM. This book was released on 2011-01-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Inverse Source Problems

Author : Victor Isakov
Publisher : American Mathematical Soc.
ISBN 13 : 0821815326
Total Pages : 193 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Inverse Source Problems by : Victor Isakov

Download or read book Inverse Source Problems written by Victor Isakov and published by American Mathematical Soc.. This book was released on 1990 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in many areas of mathematical physics, and applications are rapidly expanding to such areas as geophysics, chemistry, medicine, and engineering. The main theme of this book is uniqueness, stability, and existence of solutions of inverse problems for partial differential equations. Focusing primarily on the inverse problem of potential theory and closely related questions such as coefficient identification problems, this book will give readers an understanding of the results of a substantial part of the theory of inverse problems and of some of the new ideas and methods used.The author provides complete proofs of most general uniqueness theorems for the inverse problem of gravimetry, a detailed study of regularity properties (including examples of non-regular domains with regular potentials), counterexamples to uniqueness and uniqueness theorems, and a treatment of the theory of non-stationary problems. In addition, the book deals with the orthogonality method, formulates several important unsolved problems, and suggests certain technical means appropriate for further study; some numerical methods are also outlined. Requiring a background in the basics of differential equations and function theory, this book is directed at mathematicians specializing in partial differential equations and potential theory, as well as physicists, geophysicists, and engineers.

Qualitative Methods in Inverse Scattering Theory

Author : Fioralba Cakoni
Publisher : Springer Science & Business Media
ISBN 13 : 3540312307
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Qualitative Methods in Inverse Scattering Theory by : Fioralba Cakoni

Download or read book Qualitative Methods in Inverse Scattering Theory written by Fioralba Cakoni and published by Springer Science & Business Media. This book was released on 2005-12-29 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.

Forward and Inverse Scattering Algorithms Based on Contrast Source Integral Equations

Author : Peter M. van den Berg
Publisher : John Wiley & Sons
ISBN 13 : 1119741548
Total Pages : 54 pages
Book Rating : 4.1/5 (197 download)

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

Download or read book Forward and Inverse Scattering Algorithms Based on Contrast Source Integral Equations written by Peter M. van den Berg and published by John Wiley & Sons. This book was released on 2021-02-17 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Inverse Problems in Scattering and Imaging

Author : Bertero
Publisher : CRC Press
ISBN 13 : 9780750301435
Total Pages : 454 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Inverse Problems in Scattering and Imaging by : Bertero

Download or read book Inverse Problems in Scattering and Imaging written by Bertero and published by CRC Press. This book was released on 1992-02-27 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.