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

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 22, 1972
Accession Number
AD0746714

Entities

People

  • V. I. Tatarskii

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Availability
  • Differential Equations
  • Equations
  • Heterogeneity
  • Mathematical Analysis
  • Mathematics
  • Microfiche
  • Partial Differential Equations
  • Perturbation Theory
  • Perturbations
  • Photographic Materials
  • Photography
  • Scattering
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics