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

只看該作者 · 發(fā)表于 2025-3-26 06:56:28

Birkh?user Advanced Texts‘ Basler Lehrbücherits 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 applicability conditions for the asymptotic expressions.

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只看該作者 · 發(fā)表于 2025-3-26 14:37:40

Observability for Parabolic Equations,less Maxwell’s equations. Nevertheless manageable asymptotic solutions can be obtained for caustics in dispersive and anisotropic media, in nonlinear and random media and for related problems of quantum mechanics.

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