Caustics, Catastrophes and Wave Fields

By: M.G. Edelev (Translator), Yu.A. Kravtsov, Yu.I. Orlov

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Hardcover | 1 February 2008 | Edition Number 2

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Hardcover
232 Pages

Edition Type
Revised

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24.77 x 16.51 x 1.91

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Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory. This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of caonical operators, Orlov's method of interference integrals, as well as their modifications for penumbra, space-time, random and other types of caustics. All the methods are amply illustrated by worked problems concerning relevant wave-field applications.

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Introduction	p. 1
Rays and Caustics	p. 8
Caustics as Catastrophes	p. 34
Typical Integrals of Catastrophe Theory	p. 48
Uniform Caustic Asymptotics Derived with Standard Integrals	p. 73
Maslov's Method of the Canonical Operator	p. 116
Method of Interference Integrals	p. 135
Penumbra Caustics	p. 148
Modifications and Generalizations of Standard Integrals and Functions	p. 160
Caustics Revisited	p. 190
References	p. 202
List of Symbols	p. 214
Subject Index	p. 215
Table of Contents provided by Blackwell. All Rights Reserved.

Caustics, Catastrophes and Wave Fields

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