Point Sources and Multipoles in Inverse Scattering Theory / Edition 1

by Roland Potthast

Overview

Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering. The study of inverse scattering, in particular, has developed rapidly with the ability to perform computational simulations of scattering processes and led to remarkable advances in a range of applications, from medical imaging and radar to remote sensing and seismic exploration.

Point Sources and Multipoles in Inverse Scattering Theory provides a survey of recent developments in inverse acoustic and electromagnetic scattering theory. Focusing on methods developed over the last six years by Colton, Kirsch, and the author, this treatment uses point sources combined with several far-reaching techniques to obtain qualitative reconstruction methods. The author addresses questions of uniqueness, stability, and reconstructions for both two-and three-dimensional problems.

With interest in extracting information about an object through scattered waves at an all-time high, Point Sources and Multipoles in Inverse Scattering Theory provides a valuable source of information from both the mathematical and applications perspectives. It offers insight into the general recovery of information from incomplete data and has direct, practical relevance to work on image reconstruction.

Product Details

ISBN-13:	9781584882527
Publisher:	Taylor & Francis
Publication date:	05/30/2001
Series:	Chapman & Hall/CRC Research Notes in Mathematics Series
Pages:	276
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Roland Potthast

Table of Contents

Introduction and Tools. Direct Scattering Problems. Uniqueness and Stability in Inverse Scattering. The Case of Finite Data. The Point-Source Method and Applications. Singular Sources and Shape Reconstruction. Linear Sampling Methods. References. Index.

Editorial Reviews

"The presentation…is sound and fresh…provides valuable sources of information from both the mathematical and applications perspectives…will prove particularly useful to engineers in acoustics, antennas and remote sensing as well as to students and researchers in electromagnetic theory, scattering theory, and partial differential equations."
-Vladislav G. Dubrovsky in Mathematical Reviews

From the Publisher

Potthast (Brunel, U., London) surveys recent developments in inverse acoustic and electromagnetic scattering theory. Focusing on methods developed over the past six years by Colton, Kirsch, and himself, he uses point sources combined with several far- reaching techniques to obtain qualitative reconstruction methods. He addresses questions of uniqueness, stability, and reconstruction for problems of two and three dimensions. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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