Overview
- Includes updates on significant advances in the area of inverse problems
- Considered to be the standard reference book in the field of inverse scattering theory
- 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 been added
Part of the book series: Applied Mathematical Sciences (AMS, volume 93)
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About this book
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.
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Table of contents (11 chapters)
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/10.1007/978-3-030-30351-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-30350-1Published: 14 November 2019
Softcover ISBN: 978-3-030-30353-2Published: 14 November 2020
eBook ISBN: 978-3-030-30351-8Published: 06 November 2019
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 4
Number of Pages: XVII, 518
Number of Illustrations: 9 b/w illustrations
Topics: Partial Differential Equations, Integral Equations, Visualization, Theoretical, Mathematical and Computational Physics, Acoustics