Point Sources and Multipoles in Inverse Scattering Theory

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.

List 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.

About the author

Roland Potthast

Summary

Offers a survey of developments in inverse acoustic and electromagnetic scattering theory. This book uses point sources combined with several far-reaching techniques to obtain qualitative reconstruction methods while addressing questions of uniqueness, stability, and reconstructions for both two-and three-dimensional problems.

Product details

• Authors: Ronald G. Douglas, Roland Potthast, Potthast Roland
• Assisted by: Haim Brezis (Editor of the series), Ronald G. Douglas (Editor of the series), Alan Jeffrey (Editor of the series), Roland Potthast (Editor of the series)
• Publisher: Taylor and Francis
• Languages: English
• Product format: Paperback / Softback
• Released: 30.05.2001
• EAN: 9781584882527
• ISBN: 978-1-58488-252-7
• No. of pages: 276
• Weight: 510 g
• Illustrations: Tabellen, schwarz-weiss
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; SCIENCE / Physics / General, MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, Materials / States of matter, Differential calculus & equations, Applied mathematics, Differential calculus and equations