The Linear Sampling Method in Inverse Electromagnetic Scattering

The Linear Sampling Method in Inverse Electromagnetic Scattering

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Overview

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.

Product Details

ISBN-13: 9780898719390
Publisher: SIAM
Publication date: 01/13/2011
Series: CBMS-NSF Regional Conference Series in Applied Mathematics Series , #80
Pages: 150
Product dimensions: 6.85(w) x 9.72(h) x 0.31(d)

About the Author

F. Cakoni received her Ph.D. degree in 1996 from the University of Tirana (Albania) and University of Patras (Greece). Since 2000 she has been on the Faculty of the Department of Mathematical Sciences at the University of Delaware, where she became Professor in 2010.

David Colton received the Ph.D. degree from the University of Edinburgh, Scotland, in 1967 and the DSc degree in 1977. Since 1978 he has been Professor of Mathematics at the University of Delaware. He was appointed Unidel Professor in 1996.

Peter Monk received the MA degree from Cambridge University in 1978 and the Ph.D. degree from Rutgers University in 1983. Since 1982 he has been on the faculty of the Department of Mathematical Sciences at the University of Delaware. He was appointed Unidel Professor in 2000.

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.

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