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.
The authors focus on caustics as catastrophes, and thereby facilitate classication of structurally stable types of caustics. At the same time the book deals with new types of caustics and contains some results that have never been published in a monograph before: structurally unstable caustics, space-time caustics, caustics in anisotropic and random media, complex caustics, caustics with anomalous phase shifts and others.
Yu.A. Kravtsov
acoustics asymptotics caustics geometrical optics optics uniform caustics