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

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Observability for Parabolic Equations, the basis of ray representations. Assigning a mathematical ray with the Fresnel volume converts it into a physical object. The concept of Fresnel’s volume yields a versatile criterion of applicability of the ray theory to be derived. It defines caustic zones as regions where rays cease to be physic

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Birkhäuser Advanced Texts‘ Basler Lehrbücher 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.

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Control and Observation Operators,tastrophes 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.

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Swiss Journal of Geosciences Supplementits derivatives with respect to external parameters (Kravtsov-Ludwig technique) renders the asymptotic uniformly valid, that is, applicable both at short and at long distances from the caustic. We introduce the concepts of transverse and longitudinal caustic scales to derive uniformly-valid applicab

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https://doi.org/10.1007/978-3-7908-1760-7the 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

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Caustics, Catastrophes and Wave Fields978-3-642-59887-6Series ISSN 0931-7252

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Birkhäuser Advanced Texts‘ Basler Lehrbücher 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.

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