Abstract
The paper presents a short review of some basic theoretical results in the acoustics of anisotropic media. It includes: the general theorems related to phase speeds and polarization vectors of three bulk-wave eigen-modes in arbitrary elastic media; the topological classification of polarization singularities for plane waves; the conditions for the occurrence of the phenomenon of energy concentration; the general criteria for the existence of different classes of acoustic waves in media with surfaces and interfaces; the relations between phase, group and ray velocities of bulk and surface acoustic waves; the theory of resonant reflection/transmission of acoustic waves due to a coupling with a leaky wave branch in various structures; and some other topics. This work was supported by the Russian Foundation for Basic Research (Grant no.01-02-16228).
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