An introduction to echo analysis : scattering theory and wave propagation

書誌事項

An introduction to echo analysis : scattering theory and wave propagation

G.F. Roach

(Springer monographs in mathematics)

Springer, c2008

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注記

Includes bibliographies (at end of chapter) and index

内容説明・目次

内容説明

This is an introduction to scattering phenomena and a guide to the technical requirements for investigating wave scattering problems. It reviews the principal mathematical topics required for approaching wave propagation and scattering problems, and shows how to develop the required solutions. The emphasis is on concepts and results rather than on the fine detail of proof. Each chapter ends with a bibliography pointing to more detailed proofs.

目次

and Outline of Contents.- Some One-Dimensional Examples.- Preliminary Mathematical Material.- Hilbert Spaces.- Two Important Techniques.- A Scattering Theory Strategy.- An Approach to Echo Analysis.- Scattering Processes in Stratified Media.- Scattering in Spatially Periodic Media.- Inverse Scattering Problems.- Scattering in Other Wave Systems.- Commentary.

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