Skip to main content
SpringerLink
Log in
Book cover

Inverse Acoustic and Electromagnetic Scattering Theory

  • Book
  • © 1998

Overview

Authors:
  1. David Colton

    1. Department of Mathematical Sciences, University of Delaware, Newark, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Rainer Kress

    1. Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Göttingen, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages N1-XII
    Download chapter PDF

  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
    Download chapter PDF
Back to top

Keywords

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

Publish with us

Policies and ethics

Back to top

Search

Navigation