Point Sources and Multipoles in Inverse Scattering Theory

Roland Potthast

May 30, 2001 by Chapman and Hall/CRC
Reference - 302 Pages
ISBN 9781584882527 - CAT# C2522
Series: Chapman & Hall/CRC Research Notes in Mathematics Series


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  • Provides an introduction and survey of new methods in scattering theory
  • Studies both acoustic and electromagnetic scattering
  • Explores theoretical aspects as well as numerical reconstructions
  • Addresses questions of uniqueness and stability for both two- and three-dimensional problems
  • Summary

    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.