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Caustics, Catastrophes and Wave Fields

  • Book
  • © 1993

Overview

Authors:
  1. Yu. A. Kravtsov

    1. General Physics Institute Division GROT, Russian Academy of Sciences, Moscow, Russia

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  2. Yu. I. Orlov

    1. Power Engineering Institute, Moscow, Russia

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Springer Series on Wave Phenomena (SSWAV, volume 15)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 1-7

  3. Rays and Caustics

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 8-33

  4. Caustics as Catastrophes

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 34-47

  5. Typical Integrals of Catastrophe Theory

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 48-72

  6. Uniform Caustic Asymptotics Derived with Standard Integrals

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 73-115

  7. Maslov’s Method of the Canonical Operator

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 116-128

  8. Method of Interference Integrals

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 129-141

  9. Penumbra Caustics

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 142-153

  10. Modifications and Generalizations of Standard Integrals and Functions

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 154-183

  11. Caustics Revisited

    • Yu. A. Kravtsov, Yu. I. Orlov
    Pages 184-195

  12. Back Matter

    Pages 196-210
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Keywords

About this book

Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" by analysing caustics and their fields on the basis of modern catastrophe theory. The present volume covers local and uniform caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of canonical 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.

Authors and Affiliations

  • General Physics Institute Division GROT, Russian Academy of Sciences, Moscow, Russia

    Yu. A. Kravtsov

  • Power Engineering Institute, Moscow, Russia

    Yu. I. Orlov

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