, Volume 84, Issue 6, pp 1106-1113

Contribution to the statistical theory of wave localization in a two-layered medium

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Abstract

A very simple system of stochastic boundary-value wave equations that describes the interaction of two types of waves in a randomly inhomogeneous medium is studied. The statistics of the reflection and transmission coefficients for the incident and excited waves are discussed. It is shown that the excitation of waves is statistically equivalent to switching on damping for the initial incident waves which are localized in separate specific realizations. The parameters of the length of such localization are estimated in terms of the spectral density of the variations of the medium. It is also shown that for excited waves there is no dynamical localization, and the transmission coefficients for them are estimated.

Zh. Éksp. Teor. Fiz. 111, 2030–2043 (June 1997)