Accession Number : AD0746714

Title :   Shortwave Propagation in a Medium with Random Heterogeneities in Approximate Markovian Random Process,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Tatarskii,V. I.

Report Date : 22 APR 1972

Pagination or Media Count : 124

Abstract : A survey of existing theoretical methods for studying the propagation of waves in continuous randomly inhomogeneous media is given. The methods are explained and evaluated using a simple example of a stochastic wave equation. The method of small perturbations is outlined, and attention is given to approximate methods which generalize the geometrical optics approximation and are used in cases of large scale inhomogeneities. The method of smooth disturbances and the parabolic equation method are also examined, including the Markov approximation in the latter procedure. A brief review of the results obtained with these methods is given, and their validity is evaluated. The main problems and results of the current theory of multiple scattering are analyzed. This theory is based on partial summation of perturbation theory series and leads to Dyson and Bethe Salpeter type equations. (Author)

Descriptors :   (*WAVE FUNCTIONS, STOCHASTIC PROCESSES), (*LIGHT TRANSMISSION, WAVE FUNCTIONS), PERTURBATION THEORY, APPROXIMATION(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, TURBULENCE, USSR

Subject Categories : Statistics and Probability
      Optics

Distribution Statement : APPROVED FOR PUBLIC RELEASE