An Introduction to Echo Analysis: Scattering Theory and Wave Propagation (Springer Monographs in Mathematics) - Softcover

Roach, Gary

Softcover

ISBN 10: 1849966591 ISBN 13: 9781849966597

Publisher: Springer, 2010

Synopsis

This book provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems. 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. 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. The book is aimed at graduate and postgraduate students and researchers in mathematics and the applied sciences.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2010
• Language: English
• ISBN 10: 1849966591
• ISBN 13: 9781849966597
• Binding: Paperback
• Number of pages: 330