Direct And Inverse Electromagnetic Scattering

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Inverse Acoustic And Electromagnetic Scattering Theory

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Author : David Colton
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

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 2013-03-09 with Science categories.

In the five years since the first edition of this book appeared, the field of in verse scattering theory has continued to grow and flourish. Hence, when the opportunity for a second edition presented itself, we were pleased to have the possibility of updating our monograph to take into account recent developments in the area. As in the first edition, we have been motivated by our own view of inverse scattering and have not attempted to include all of the many new directions in the field. However, we feel that this new edition represents a state of the art overview of the basic elements of the mathematical theory of acoustic and electromagnetic inverse scattering. In addition to making minor corrections and additional comments in the text and updating the references, we have added new sections on Newton's method for solving the inverse obstacle problem (Section 5.3), the spectral theory of the far field operator (Section 8.4), a proof of the uniqueness of the solution to the inverse medium problem for acoustic waves (Section 10.2) and a method for determining the support of an inhomogeneous medium from far field data by solving a linear integral equation of the first kind (Section 10.7). We hope that this second edition will attract new readers to the beautiful and intriguing field of inverse scattering.

Direct And Inverse Electromagnetic Scattering

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Author : A H Serbest
language : en
Publisher: CRC Press
Release Date : 1996-11-29

Direct And Inverse Electromagnetic Scattering written by A H Serbest and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-29 with Science categories.

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

Computational Methods For Electromagnetic Inverse Scattering

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Author : Xudong Chen
language : en
Publisher: John Wiley & Sons
Release Date : 2018-07-18

Computational Methods For Electromagnetic Inverse Scattering written by Xudong Chen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-18 with Science categories.

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

Scattering Two Volume Set

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Author : E. R. Pike
language : en
Publisher: Academic Press
Release Date : 2002

Scattering Two Volume Set written by E. R. Pike and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.

Part 1: SCATTERING OF WAVES BY MACROSCOPIC TARGET -- Interdisciplinary aspects of wave scattering -- Acoustic scattering -- Acoustic scattering: approximate methods -- Electromagnetic wave scattering: theory -- Electromagnetic wave scattering: approximate and numerical methods -- Electromagnetic wave scattering: applications -- Elastodynamic wave scattering: theory -- Elastodynamic wave scattering: Applications -- Scattering in Oceans -- Part 2: SCATTERING IN MICROSCOPIC PHYSICS AND CHEMICAL PHYSICS -- Introduction to direct potential scattering -- Introduction to Inverse Potential Scattering -- Visible and Near-visible Light Scattering -- Practical Aspects of Visible and Near-visible Light Scattering -- Nonlinear Light Scattering -- Atomic and Molecular Scattering: Introduction to Scattering in Chemical -- X-ray Scattering -- Neutron Scattering -- Electron Diffraction and Scattering -- Part 3: SCATTERING IN NUCLEAR PHYSICS -- Nuclear Physics -- Part 4: PARTICLE SCATTERING -- State of the Art of Peturbative Methods -- Scattering Through Electro-weak Interactions (the Fermi Scale) -- Scattering Through Strong Interactions (the Hadronic or QCD Scale) -- Part 5: SCATTERING AT EXTREME PHYSICAL SCALES -- Scattering at Extreme Physical Scales -- Part 6: SCATTERING IN MATHEMATICS AND NON-PHYSICAL SCIENCES -- Relations with Other Mathematical Theories -- Inverse Scattering Transform and Non-linear Partial Differenttial Equations -- Scattering of Mathematical Objects.

A Qualitative Approach To Inverse Scattering Theory

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Author : Fioralba Cakoni
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-28

A Qualitative Approach To Inverse Scattering Theory written by Fioralba Cakoni 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 2013-10-28 with Mathematics categories.

Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these methods have led in recent years to an alternative approach to the inverse scattering problem which avoids the incorrect model assumptions inherent in the use of weak scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new methods come under the general title of qualitative methods in inverse scattering theory and seek to determine an approximation to the shape of the scattering object as well as estimates on its material properties without making any weak scattering assumption and using essentially no a priori information on the nature of the scattering object. This book is designed to be an introduction to this new approach in inverse scattering theory focusing on the use of sampling methods and transmission eigenvalues. In order to aid the reader coming from a discipline outside of mathematics we have included background material on functional analysis, Sobolev spaces, the theory of ill posed problems and certain topics in in the theory of entire functions of a complex variable. This book is an updated and expanded version of an earlier book by the authors published by Springer titled Qualitative Methods in Inverse Scattering Theory Review of Qualitative Methods in Inverse Scattering Theory All in all, the authors do exceptionally well in combining such a wide variety of mathematical material and in presenting it in a well-organized and easy-to-follow fashion. This text certainly complements the growing body of work in inverse scattering and should well suit both new researchers to the field as well as those who could benefit from such a nice codified collection of profitable results combined in one bound volume. SIAM Review, 2006

Invariant Imbedding And Inverse Problems

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Author : James P. Corones
language : en
Publisher: SIAM
Release Date : 1992-01-01

Invariant Imbedding And Inverse Problems written by James P. Corones and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Science categories.

This volume on invariant imbedding and inverse problems is based on a conference held in Alberquerque, New Mexico, in April 1990.

The Inverse Electromagnetic Scattering Problem For A Spatially Homogeneous Dispersive And Dissipative Medium

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Author : Dat Duc Bui
language : en
Publisher:
Release Date : 1993

The Inverse Electromagnetic Scattering Problem For A Spatially Homogeneous Dispersive And Dissipative Medium written by Dat Duc Bui and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Electromagnetic waves categories.

Advances In Inverse Problems For Partial Differential Equations

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Author : Dinh-Liem Nguyen
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-12

Advances In Inverse Problems For Partial Differential Equations written by Dinh-Liem Nguyen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-12 with Mathematics categories.

This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for Partial Differential Equations,” virtually held on October 23–24, 2021. The papers in this volume focus on new results on numerical methods for various inverse problems arising in electrical impedance tomography, inverse scattering in radar and optics problems, reconstruction of initial conditions, control of acoustic fields, and stock price forecasting. The authors studied iterative and non-iterative approaches such as optimization-based, globally convergent, sampling, and machine learning-based methods. The volume provides an interesting source on advances in computational inverse problems for partial differential equations.

Mathematical Methods In Scattering Theory And Biomedical Technology

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Author : George Dassios
language : en
Publisher: CRC Press
Release Date : 1998-06-11

Mathematical Methods In Scattering Theory And Biomedical Technology written by George Dassios and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-11 with Mathematics categories.

The papers in this volume address the state-of-the-art and future directions in applied mathematics in both scattering theory and biomedical technology. A workshop held in Metsovo, Greece during the summer of 1997 brought together some of the world's foremose experts in the field with researchers working in Greece. Sixteen of the contributed papers appear in this volume. All the papers give new directions, and in several cases, the most important scientific contributions in the fields.

Integral Equation Methods In Scattering Theory

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Author : David Colton
language : en
Publisher: SIAM
Release Date : 2013-11-15

Integral Equation Methods In Scattering Theory written by David Colton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-15 with Mathematics categories.

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.