An Introduction To Electromagnetic Inverse Scattering

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An Introduction to Electromagnetic Inverse Scattering

K.I. Hopcraft,P.R. Smith
An Introduction to Electromagnetic Inverse Scattering Book PDF

Author : K.I. Hopcraft,P.R. Smith
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 40,9 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.

Computational Methods for Electromagnetic Inverse Scattering

Xudong Chen
Computational Methods for Electromagnetic Inverse Scattering Book PDF

Author : Xudong Chen
Publisher : John Wiley & Sons
Page : 328 pages
File Size : 41,6 Mb
Release : 2018-03-20
Category : Science
ISBN : 9781119312000

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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

An Introduction to Inverse Scattering and Inverse Spectral Problems

Khosrow Chadan,David Colton,Lassi P?iv?rinta,William Rundell
An Introduction to Inverse Scattering and Inverse Spectral Problems Book PDF

Author : Khosrow Chadan,David Colton,Lassi P?iv?rinta,William Rundell
Publisher : SIAM
Page : 206 pages
File Size : 42,8 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 9780898713879

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An Introduction to Inverse Scattering and Inverse Spectral Problems by Khosrow Chadan,David Colton,Lassi P?iv?rinta,William Rundell Pdf

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.

Inverse Acoustic and Electromagnetic Scattering Theory

David Colton,Rainer Kress
Inverse Acoustic and Electromagnetic Scattering Theory Book PDF

Author : David Colton,Rainer Kress
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 49,8 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.

An Introduction to Inverse Scattering and Inverse Spectral Problems

Khosrow Chadan,David Colton,William Rundell,Lassi P?iv?rinta
An Introduction to Inverse Scattering and Inverse Spectral Problems Book PDF

Author : Khosrow Chadan,David Colton,William Rundell,Lassi P?iv?rinta
Publisher : SIAM
Page : 208 pages
File Size : 47,5 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 0898719712

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An Introduction to Inverse Scattering and Inverse Spectral Problems by Khosrow Chadan,David Colton,William Rundell,Lassi P?iv?rinta Pdf

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.

Qualitative Methods in Inverse Scattering Theory

Fioralba Cakoni,David Colton
Qualitative Methods in Inverse Scattering Theory Book PDF

Author : Fioralba Cakoni,David Colton
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 47,9 Mb
Release : 2005-12-29
Category : Mathematics
ISBN : 9783540312307

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Qualitative Methods in Inverse Scattering Theory by Fioralba Cakoni,David Colton Pdf

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.

Inverse Acoustic and Electromagnetic Scattering Theory

David Colton,Rainer Kress
Inverse Acoustic and Electromagnetic Scattering Theory Book PDF

Author : David Colton,Rainer Kress
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 49,7 Mb
Release : 2012-10-26
Category : Mathematics
ISBN : 9781461449423

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

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

Introduction to Ground Penetrating Radar

Raffaele Persico
Introduction to Ground Penetrating Radar Book PDF

Author : Raffaele Persico
Publisher : John Wiley & Sons
Page : 412 pages
File Size : 53,8 Mb
Release : 2014-06-09
Category : Technology & Engineering
ISBN : 9781118835685

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Introduction to Ground Penetrating Radar by Raffaele Persico Pdf

A real-world guide to practical applications of ground penetrating radar (GPR) The nondestructive nature of ground penetrating radar makes it an important and popular method of subsurface imaging, but it is a highly specialized field, requiring a deep understanding of the underlying science for successful application. Introduction to Ground Penetrating Radar: Inverse Scattering and Data Processing provides experienced professionals with the background they need to ensure precise data collection and analysis. Written to build upon the information presented in more general introductory volumes, the book discusses the fundamental mathematical, physical, and engineering principles upon which GPR is built. Real-world examples and field data provide readers an accurate view of day-to-day GPR use. Topics include: 2D scattering for dielectric and magnetic targets 3D scattering equations and migration algorithms Host medium characterization and diffraction tomography Time and frequency steps in GPR data sampling The Born approximation and the singular value decomposition The six appendices contain the mathematical proofs of all examples discussed throughout the book. Introduction to Ground Penetrating Radar: Inverse Scattering and Data Processing is a comprehensive resource that will prove invaluable in the field.

The Linear Sampling Method in Inverse Electromagnetic Scattering

Fioralba Cakoni,David Colton,Peter Monk
The Linear Sampling Method in Inverse Electromagnetic Scattering Book PDF

Author : Fioralba Cakoni,David Colton,Peter Monk
Publisher : SIAM
Page : 147 pages
File Size : 41,6 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.

Maxwell Equation

Isozaki Hiroshi
Maxwell Equation Book PDF

Author : Isozaki Hiroshi
Publisher : World Scientific
Page : 300 pages
File Size : 40,8 Mb
Release : 1998-08-15
Category : Science
ISBN : 9789813232716

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Maxwell Equation by Isozaki Hiroshi Pdf

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.

Microwave Imaging and Electromagnetic Inverse Scattering Problems

Loreto Di Donato,Andrea F. Morabito
Microwave Imaging and Electromagnetic Inverse Scattering Problems Book PDF

Author : Loreto Di Donato,Andrea F. Morabito
Publisher : MDPI
Page : 170 pages
File Size : 44,7 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.

Computational Methods for Electromagnetic Inverse Scattering

Xudong Chen
Computational Methods for Electromagnetic Inverse Scattering Book PDF

Author : Xudong Chen
Publisher : John Wiley & Sons
Page : 325 pages
File Size : 45,6 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

Direct and Inverse Electromagnetic Scattering

A H Serbest,S Cloude
Direct and Inverse Electromagnetic Scattering Book PDF

Author : A H Serbest,S Cloude
Publisher : CRC Press
Page : 292 pages
File Size : 40,9 Mb
Release : 1996-11-29
Category : Science
ISBN : 0582299640

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Direct and Inverse Electromagnetic Scattering by A H Serbest,S Cloude Pdf

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

Integral Equation Methods in Scattering Theory

David Colton,Rainer Kress
Integral Equation Methods in Scattering Theory Book PDF

Author : David Colton,Rainer Kress
Publisher : SIAM
Page : 286 pages
File Size : 43,5 Mb
Release : 2013-11-15
Category : Mathematics
ISBN : 9781611973150

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Integral Equation Methods in Scattering Theory by David Colton,Rainer Kress Pdf

This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

Electromagnetic Scattering

Soon K. Cho
Electromagnetic Scattering Book PDF

Author : Soon K. Cho
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461390640

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Electromagnetic Scattering by Soon K. Cho Pdf

0.1 Introduction The present volume is about the physics of electromagnetic scattering, not mathematics, and is intended as a reference book for engineering and physics students as well as researchers in electromagnetic scattering. Although the subject is on electromagnetic scattering, acoustic or scalar scattering will be discussed occasionally when it is deemed helpful and advantageous. In the current decade we are witnessing an emergence of inverse scattering theory. Before we embark on this exciting journey, perhaps this is an appropriate time to summarize and assess in one volume some of the important re sults of electromagnetic scattering which have been found in recent decades. Since the end of WW II two significant physical phenomena in electromag netic scattering, optimal polarization and exterior resonant frequencies, have been discovered and a powerful mathematical technique, called the integral equation method, has been incorporated. These physical quantities, which characterize the scattered field for a given scatterer, are not directly observ able but can only be extracted by mathematical means from the measured scattering data. They are given special attention.