Refraction and diffusion of acoustic waves in a random fluid medium

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Abstract

Based upon the asymptotic and stochastic formulation of the acoustic wave equations, this article considers a stochastic wave propagation problem in a random multilayer which is totally refracting. Both the WKB analysis and the diffusion limit theory of stochastic differential equations are used to analyze the interplay of refraction (macrostructure) and diffusion (microstructure) of the propagating waves. The probabilistic distribution of solutions to the resultant Kolmogorov-Fokker-Planck equation is given as a computable form from the pseudodifferential operator theory and Wiener's path integral theory.

Original languageEnglish
Pages (from-to)265-274
Number of pages10
JournalJournal of Computational Acoustics
Volume10
Issue number2
DOIs
Publication statusPublished - 2002

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics
  • Applied Mathematics

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