The linear sampling method in inverse electromagnetic scattering /
General Material Designation
[Book]
First Statement of Responsibility
Fioralba Cakoni, David Colton, Peter Monk
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Philadelphia :
Name of Publisher, Distributor, etc.
Society for Industrial and Applied Mathematics,
Date of Publication, Distribution, etc.
c2011
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
138 p. :
Other Physical Details
ill. ;
Dimensions
25 cm
SERIES
Series Title
CBMS-NSF regional conference series in applied mathematics ;
Volume Designation
80
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 129-136) and index
CONTENTS NOTE
Text of Note
Inverse scattering in two dimensions -- Maxwell's equations -- The inverse problem for obstacles -- The inverse scattering problem for anisotropic media -- The inverse scattering problem for thin objects -- The inverse scattering problem for buried objects
0
SUMMARY OR ABSTRACT
Text of Note
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