Random media and boundaries : unified theory, two-scale method, and applications

Bibliographic Information

Random media and boundaries : unified theory, two-scale method, and applications

Koichi Furutsu

(Springer series on wave phenomena, 14)

Springer-Verlag, c1993

  • :Berlin
  • :New York

Other Title

ランダム媒質内の波動伝搬

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Note

Translation of: Randamu baishitsunai no hadō denpan, 1982

Bibliography: p. [263]-[266]

Includes index

Description and Table of Contents

Description

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 treated on 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 rquired. This book presents a unified theory based on the Berthe-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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