Titlebook: Caustics, Catastrophes and Wave Fields; Yu. A. Kravtsov,Yu. I. Orlov Book 19931st edition Springer-Verlag Berlin Heidelberg 1993 acoustics

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暗指

Caustics as Catastrophes, be overestimated. The new approach has allowed one to classify caustics, to select among them structurally stable species, and to establish a subordinance for caustics of different complexity. It has been the historically first breakthrough to understanding the nature of caustics.

留戀

Typical Integrals of Catastrophe Theory,atastrophes and also some more complex integrals associated with caustics that occur in series. A novel point in this exposition is the one of Fresnel’s criteria for passing over from some normal forms to others when external parameters vary.

音的強(qiáng)弱

豐富

Method of Interference Integrals,the equation of geometrical optics while the sum describes the caustic field. In the particular case when the momentum is chosen as a parameter of the family of wavelets, Orlov’s method becomes Maslov’s method. This chapter also considers Orlov’s interference integrals in which partial wavelets are

mighty

Penumbra Caustics,ctions and their extensions. A close type of caustics is formed by the diffracted rays in the region of a diffraction penumbra. Both types of caustic, treated first by Yu.I. Orlov, correspond to the so-called edge catastrophes.

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Presbyopia

Book 19931st editionlysing 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

Cumbersome

0931-7252 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.978-3-642-97491-5Series ISSN 0931-7252

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