An Introduction to Echo Analysis, 2008
Scattering Theory and Wave Propagation
Springer Monographs in Mathematics Series

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Language: English

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320 p. · 15.6x23.5 cm · Hardback

Aimed at graduate and postgraduate students and researchers in mathematics and the applied sciences, this book provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems. It gathers together the principal mathematical topics which are required when dealing with wave propagation and scattering problems, and indicates how to use the material to develop the required solutions.

Both potential and target scattering phenomena are investigated and extensions of the theory to the electromagnetic and elastic fields are provided. Throughout, the emphasis is on concepts and results rather than on the fine detail of proof. A bibliography at the end of each chapter points the interested reader to more detailed proofs of the theorems and suggests directions for further reading.

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.
A unified, self contained introduction to an exciting research area Investigates both potential and target scattering phenomena Aims to bridge the gap between the practitioner at the applied end and the mathematician interested in the spectral analysis of initial boundary problems for PDEs Includes supplementary material: sn.pub/extras