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Inverse Acoustic and Electromagnetic Scattering Theory

  • David Colton
  • Rainer Kress
Book
  • 5.7k Downloads

Part of the Applied Mathematical Sciences book series (AMS, volume 93)

Table of contents

  1. Front Matter
    Pages N1-XII
  2. David Colton, Rainer Kress
    Pages 1-12
  3. David Colton, Rainer Kress
    Pages 13-37
  4. David Colton, Rainer Kress
    Pages 38-84
  5. David Colton, Rainer Kress
    Pages 85-104
  6. David Colton, Rainer Kress
    Pages 105-152
  7. David Colton, Rainer Kress
    Pages 153-194
  8. David Colton, Rainer Kress
    Pages 195-210
  9. David Colton, Rainer Kress
    Pages 211-249
  10. David Colton, Rainer Kress
    Pages 250-270
  11. David Colton, Rainer Kress
    Pages 271-317
  12. Back Matter
    Pages 318-334

About this book

Introduction

In the five years since the first edition of this book appeared, the field of in­ verse scattering theory has continued to grow and flourish. Hence, when the opportunity for a second edition presented itself, we were pleased to have the possibility of updating our monograph to take into account recent developments in the area. As in the first edition, we have been motivated by our own view of inverse scattering and have not attempted to include all of the many new directions in the field. However, we feel that this new edition represents a state of the art overview of the basic elements of the mathematical theory of acoustic and electromagnetic inverse scattering. In addition to making minor corrections and additional comments in the text and updating the references, we have added new sections on Newton's method for solving the inverse obstacle problem (Section 5.3), the spectral theory of the far field operator (Section 8.4), a proof of the uniqueness of the solution to the inverse medium problem for acoustic waves (Section 10.2) and a method for determining the support of an inhomogeneous medium from far field data by solving a linear integral equation of the first kind (Section 10.7). We hope that this second edition will attract new readers to the beautiful and intriguing field of inverse scattering.

Keywords

Helmholtz equation Maxwell's equations Newton's method Wave acoustic waves electromagnetic wave electromagnetic waves inverse scattering inverse scattering problem numerical analysis scattering scattering theory spectra

Authors and affiliations

  • David Colton
    • 1
  • Rainer Kress
    • 2
  1. 1.Department of Mathematical SciencesUniversity of DelawareNewarkUSA
  2. 2.Institut für Numerische und Angewandte MathematikUniversität GöttingenGöttingenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03537-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08308-2
  • Online ISBN 978-3-662-03537-5
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site