Cover image for The linear sampling method in inverse electromagnetic scattering
Title:
The linear sampling method in inverse electromagnetic scattering
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Series:
CBMS-NSF regional conference series in applied mathematics
Publication Information:
Philadelphia : Society for Industrial and Applied Mathematics, c2011
Physical Description:
138 p. : ill. ; 25 cm.
ISBN:
9780898719390

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30000010265423 QC20.7.S3 C35 2011 Open Access Book Book
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Summary

Summary

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.Also covered are the approximation properties of Herglotz wave functions; the behavior of solutions to the interior transmission problem,a novel interior boundary value problem; and numerical examples of the inversion scheme


Table of Contents

Preface
1 Inverse scattering in two dimensions
2 Maxwell's equations
3 The inverse problem for obstacles
4 The inverse scattering problem for anisotropic media
5 The inverse scattering problem for thin objects
6 The inverse scattering problem for buried objects
Bibliography
Index