Inverse Problems in Scattering and Imaging

Inverse Problems in Scattering and Imaging
Title Inverse Problems in Scattering and Imaging PDF eBook
Author Bertero
Publisher CRC Press
Pages 454
Release 1992-02-27
Genre Technology & Engineering
ISBN 9780750301435

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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.

The Inverse Problem of Scattering Theory

The Inverse Problem of Scattering Theory
Title The Inverse Problem of Scattering Theory PDF eBook
Author Z.S. Agranovich
Publisher Courier Dover Publications
Pages 307
Release 2020-05-21
Genre Mathematics
ISBN 0486842495

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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.

An Introduction to Inverse Scattering and Inverse Spectral Problems

An Introduction to Inverse Scattering and Inverse Spectral Problems
Title An Introduction to Inverse Scattering and Inverse Spectral Problems PDF eBook
Author Khosrow Chadan
Publisher SIAM
Pages 206
Release 1997-01-01
Genre Mathematics
ISBN 0898713870

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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 Problems in Scattering and Imaging

Inverse Problems in Scattering and Imaging
Title Inverse Problems in Scattering and Imaging PDF eBook
Author Society of Photo-optical Instrumentation Engineers
Publisher SPIE-International Society for Optical Engineering
Pages 504
Release 1992
Genre Computers
ISBN

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Inverse Acoustic and Electromagnetic Scattering Theory

Inverse Acoustic and Electromagnetic Scattering Theory
Title Inverse Acoustic and Electromagnetic Scattering Theory PDF eBook
Author David Colton
Publisher Springer Science & Business Media
Pages 316
Release 2013-04-17
Genre Mathematics
ISBN 3662028352

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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.

Mathematical Foundations of Imaging, Tomography and Wavefield Inversion

Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
Title Mathematical Foundations of Imaging, Tomography and Wavefield Inversion PDF eBook
Author Anthony J. Devaney
Publisher Cambridge University Press
Pages 537
Release 2012-06-21
Genre Science
ISBN 1139510142

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Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of imaging and wavefield inversion are presented in a clear and systematic way. The necessary theory is gradually developed throughout the book, progressing from simple wave equation based models to vector wave models. By combining theory with numerous MATLAB based examples, the author promotes a complete understanding of the material and establishes a basis for real world applications. Key topics of discussion include the derivation of solutions to the inhomogeneous and homogeneous Helmholtz equations using Green function techniques; the propagation and scattering of waves in homogeneous and inhomogeneous backgrounds; and the concept of field time reversal. Bridging the gap between mathematics and physics, this multidisciplinary book will appeal to graduate students and researchers alike. Additional resources including MATLAB codes and solutions are available online at www.cambridge.org/9780521119740.

Handbook of Mathematical Methods in Imaging

Handbook of Mathematical Methods in Imaging
Title Handbook of Mathematical Methods in Imaging PDF eBook
Author Otmar Scherzer
Publisher Springer Science & Business Media
Pages 1626
Release 2010-11-23
Genre Mathematics
ISBN 0387929193

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The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.