Overview
- New sections included
- Chapters updated throughout
- This book has become the standard reference book in the field of inverse scattering theory
Part of the book series: Applied Mathematical Sciences (AMS, volume 93)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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
Authors and Affiliations
Bibliographic Information
Book Title: Inverse Acoustic and Electromagnetic Scattering Theory
Authors: David Colton, Rainer Kress
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4614-4942-3
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-4941-6Published: 26 October 2012
eBook ISBN: 978-1-4614-4942-3Published: 26 October 2012
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 3
Number of Pages: XIV, 406
Topics: Partial Differential Equations, Integral Equations, Visualization, Theoretical, Mathematical and Computational Physics, Acoustics