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Inverse Acoustic and Electromagnetic Scattering Theory

  • David Colton
  • Rainer Kress

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

Table of contents

  1. Front Matter
    Pages i-xiv
  2. David Colton, Rainer Kress
    Pages 1-12
  3. David Colton, Rainer Kress
    Pages 13-38
  4. David Colton, Rainer Kress
    Pages 39-94
  5. David Colton, Rainer Kress
    Pages 95-118
  6. David Colton, Rainer Kress
    Pages 119-186
  7. David Colton, Rainer Kress
    Pages 187-236
  8. David Colton, Rainer Kress
    Pages 237-264
  9. David Colton, Rainer Kress
    Pages 265-302
  10. David Colton, Rainer Kress
    Pages 303-324
  11. David Colton, Rainer Kress
    Pages 325-388
  12. Back Matter
    Pages 389-405

About this book

Introduction

The inverse scattering problem is central to many areas of science and technology such as radar and 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 third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scattering problem as well as expanded treatments of iteration methods and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integral equations in Sobolev spaces. As in the previous editions, emphasis has been given to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory.

Review of earlier editions:

 

“Colton and Kress have written a scholarly, state of the art account of their view of direct and inverse scattering. The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number of open problems and will be a source of inspiration for many years to come.”

SIAM Review, September 1994

 

 

“This book should be on the desk of any researcher, any student, any teacher interested in scattering theory.”

Mathematical Intelligencer, June 1994

Keywords

acoustic waves electromagnetic wave inverse scattering

Authors and affiliations

  • David Colton
    • 1
  • Rainer Kress
    • 2
  1. 1.Dept. Mathematical ScienceUniversity of DelawareNewarkUSA
  2. 2.Institut fuer Numerische und AngewandteGeorg-August-Universität GöttingenGöttingenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-4942-3
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-4941-6
  • Online ISBN 978-1-4614-4942-3
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site