Point Sources and Multipoles in Inverse Scattering Theory 1st Edition by Roland Potthast ISBN 1584882522 9781584882527

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Product details:

ISBN 10: 1584882522

ISBN 13: 978-1584882527

Author:  Roland Potthast 

Point Sources and Multipoles in Inverse Scattering Theory 1st Edition: 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.

 

Point Sources and Multipoles in Inverse Scattering Theory 1st Edition Table of contents:

Chapter 1 (38 pages)
Introduction and tools

Chapter 2 (82 pages)
Direct scattering problems

Chapter 3 (30 pages)
Uniqueness and stability in inverse scattering

Chapter 4 (20 pages)
The case of finite data

Chapter 5 (28 pages)
The point-source method and applications

Chapter 6 (8 pages)
Singular sources and shape reconstruction

Chapter 7 (42 pages)
Linear sampling methods

 

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Roland Potthast,Point,Sources,Multipoles,Inverse,Scattering,Theory