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Published in:
Linear Inverse Problems Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Inverse Scattering

Authors : David Colton, Rainer Kress

Published in: Handbook of Mathematical Methods in Imaging

Publisher: Springer New York

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Abstract

We give a survey of the mathematical basis of inverse scattering theory, concentrating on the case of time-harmonic acoustic waves. After an introduction and historical remarks, we give an outline of the direct scattering problem. This is then followed by sections on uniqueness results in inverse scattering theory and iterative and decomposition methods to reconstruct the shape and material properties of the scattering object. We conclude by discussing qualitative methods in inverse scattering theory, in particular the linear sampling method and its use in obtaining lower bounds on the constitutive parameters of the scattering object.

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previous chapter Sampling Methods
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Metadata
Title
Inverse Scattering
Authors
David Colton
Rainer Kress
Copyright Year
2015
Publisher
Springer New York
Book
Handbook of Mathematical Methods in Imaging

Print ISBN: 978-1-4939-0789-2

Electronic ISBN: 978-1-4939-0790-8

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-1-4939-0790-8_48

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