The use of various types of wave energy is an increasingly
promising, non-destructive means of detecting objects and of
diagnosing the properties of quite complicated materials. An
analysis of this technique requires an understanding of how waves
evolve in the medium of interest and how they are scattered by
inhomogeneities in the medium. These scattering phenomena can be
thought of as arising from some perturbation of a given, known
system and they are analysed by developing a scattering theory.
This monograph 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.Aimed at graduate and postgraduate students and researchers
in mathematics and the applied sciences, this book aims to provide
the newcomer to the field with a unified, and reasonably
self-contained, introduction to an exciting research area and, for
the more experienced reader, a source of information and
techniques.
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