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An Introduction to Electromagnetic Inverse Scattering : Developments in Electromagnetic Theory and Applications - Keith Iain Hopcraft

An Introduction to Electromagnetic Inverse Scattering

Developments in Electromagnetic Theory and Applications

Hardcover

Published: 31st July 1992
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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 is 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 of the subject should be of use to anyone embarking on a theoretical or practical study of inverse electromagnetic scattering.

Glossary
Preface
Introductionp. 1
What is inverse scattering?p. 1
Why study inverse scatteringp. 2
An historical sketchp. 3
How to solve inverse problemsp. 6
Inverse solutions and measured datap. 10
Bibliographyp. 12
Mathematics of E.M. Wavesp. 14
The wave equation for electromagnetic fieldsp. 14
The Fourier transformp. 18
Fourier analysis and the wave equationp. 21
Fourier spectra and scattering coefficientsp. 24
Scattering of plane waves at an interfacep. 27
Integral representation of the wave equationp. 32
Green's functions and the scattering equationp. 36
The Laplace transformp. 40
Eigenvalues and eigensolutionsp. 42
Riccati equation for the reflection coefficientp. 43
Demonstration on a canonical problemp. 46
Bibliographyp. 50
Linearized Inverse Solutionsp. 52
Linear equations, solutions and transformationsp. 52
The Born solutionp. 54
Linearizing the reflection coefficientp. 61
The Rytov solutionp. 63
Phase unwrappingp. 72
Demonstration on a canonical problemp. 75
Summaryp. 85
Bibliographyp. 86
Higher Order Integral Solutionsp. 90
Higher order Born approximationsp. 90
Distorted wave methodsp. 93
High frequency asymptotic approximationp. 95
Abel inversionp. 101
Considering real datap. 105
Demonstration on a canonical problemp. 109
Summaryp. 112
Bibliographyp. 113
Higher Order Differential Solutionsp. 115
Introductionp. 115
Multiple scales methodp. 115
Renormalization of the fieldp. 122
Circle diagramsp. 126
Demonstration on a canonical problemp. 140
Summaryp. 145
Bibliographyp. 149
Exact Solutionsp. 151
Introductionp. 151
The Gel'fand-Levitan solutionp. 152
The Balanis solutionp. 169
The three-dimensional problemp. 173
Demonstration on a canonical problemp. 181
Summaryp. 192
Bibliographyp. 194
Inverse Scattering In Practicep. 197
Remote Sensingp. 197
Tomographyp. 200
Optical designp. 208
Ionospheric soundingp. 209
Ellipsometryp. 214
Referencesp. 219
Indexp. 225
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792307778
ISBN-10: 0792307771
Series: Developments in Electromagnetic Theory and Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 230
Published: 31st July 1992
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.4 x 15.6  x 1.5
Weight (kg): 1.16