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Inverse Acoustic and Electromagnetic Scattering Theory

  • David Colton
  • Rainer Kress
Book

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

Table of contents

  1. Front Matter
    Pages i-xvii
  2. David Colton, Rainer Kress
    Pages 1-13
  3. David Colton, Rainer Kress
    Pages 15-42
  4. David Colton, Rainer Kress
    Pages 43-110
  5. David Colton, Rainer Kress
    Pages 111-136
  6. David Colton, Rainer Kress
    Pages 137-217
  7. David Colton, Rainer Kress
    Pages 219-272
  8. David Colton, Rainer Kress
    Pages 273-302
  9. David Colton, Rainer Kress
    Pages 303-344
  10. David Colton, Rainer Kress
    Pages 345-369
  11. David Colton, Rainer Kress
    Pages 371-437
  12. David Colton, Rainer Kress
    Pages 439-495
  13. Back Matter
    Pages 497-518

About this book

Introduction

The inverse scattering problem is central to many areas of science and technology such as radar, sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. 

In this fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions. Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.


Keywords

Acoustic Waves Electromagnetic Wave Inverse Scattering Inverse Problems Maxwell Equations

Authors and affiliations

  • David Colton
    • 1
  • Rainer Kress
    • 2
  1. 1.Department of Mathematical SciencesUniversity of DelawareNewarkUSA
  2. 2.Institut für Numerische und Angewandte MathematikGeorg-August-Universität GöttingenGöttingenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-30351-8
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-30350-1
  • Online ISBN 978-3-030-30351-8
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • Buy this book on publisher's site
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