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  • © 1998

Inverse Acoustic and Electromagnetic Scattering Theory

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages N1-XII
  2. Introduction

    • David Colton, Rainer Kress
    Pages 1-12
  3. The Helmholtz Equation

    • David Colton, Rainer Kress
    Pages 13-37
  4. Direct Acoustic Obstacle Scattering

    • David Colton, Rainer Kress
    Pages 38-84
  5. Ill-Posed Problems

    • David Colton, Rainer Kress
    Pages 85-104
  6. Inverse Acoustic Obstacle Scattering

    • David Colton, Rainer Kress
    Pages 105-152
  7. The Maxwell Equations

    • David Colton, Rainer Kress
    Pages 153-194
  8. Inverse Electromagnetic Obstacle Scattering

    • David Colton, Rainer Kress
    Pages 195-210
  9. Acoustic Waves in an Inhomogeneous Medium

    • David Colton, Rainer Kress
    Pages 211-249
  10. Electromagnetic Waves in an Inhomogeneous Medium

    • David Colton, Rainer Kress
    Pages 250-270
  11. The Inverse Medium Problem

    • David Colton, Rainer Kress
    Pages 271-317
  12. Back Matter

    Pages 318-334

About this book

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.

Authors and Affiliations

  • Department of Mathematical Sciences, University of Delaware, Newark, USA

    David Colton

  • Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Göttingen, Germany

    Rainer Kress

Bibliographic Information

Buy it now

Buying options

eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access