Quantum Physics, Waves & Wave Mechanics, Mathematics - Fields, Mathematics - Applied, Mathematical Equations - Differential

Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications

Name: Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications
Author: Koichi Furutsu
ISBN: 9783642848094

by Koichi Furutsu

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Overview

For a system consisting of a random medium with rough boundaries, the governing (Bethe-Salpeter) equation for boundary-value transport problems can be written in a form such that the medium and the boundaries are treatedon an equal footing. This enables several expressions for the solution to be obtained by interchanging the roles of the medium and the boundaries, thus allowing the most convenient one to be selected according to the specific situation and the information required. This book presents a unified theory based on the Bethe-Salpeter equation with particular attention being paid to: boundary-value problems of transport, layer problems, a fixed scatterer imbedded in a bounded random medium, construction of an optical scattering matrix for a complete system, and optical wave propagation in a turbulent medium. The last topic is treated in terms of first moment equations combined with the cluster expansion and, second, the two-scale method based on the Lagrange variational principle.

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Translated from the Japanese Statistical Waves in Random Media, 1982. The author presents a theory of transport based on the Bethe-Salpeter equation. When written in a unified form this allows the media and the boundaries to be treated on an equal footing. Topics include boundary-value problems of transport, layer problems, a fixed scatterer imbedded in a bounded random medium, construction of an optical scattering matrix for a complete system, and optical wave propagation in a turbulent medium. Annotation c. Book News, Inc., Portland, OR (booknews.com)