Propagation of initially plane waves in the region of random caustics

DOI10.1016/0165-2125(85)90007-1zbMath0558.73019OpenAlexW1982869501MaRDI QIDQ802356

Daniel I. Zwillinger, Benjamin S. White

Publication date: 1985

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(85)90007-1

zbMATH Keywords

arbitrary number of ray positionsequations of ray theoryforward Kolmogorov (Fokker- Planck) equationhigh frequency plane wavejoint statisticsmean zero perturbation of a constantrandom caustic regionrandom, smoothly-varying, homogeneous and isotropic propagation speedshort distance expansiontested by Monte-Carlo simulationstwo-dimensional versiontwo-point correlation function of intensity or energy

Mathematics Subject Classification ID

Random materials and composite materials (74A40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Waves in solid mechanics (74J99)

Cites Work

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• A limit theorem for stochastic acceleration
• The Stochastic Caustic
• Focusing of waves in turbulent inhomogeneous media
• Asymptotic theory of mixing stochastic ordinary differential equations
• Uniform asymptotic expansions at a caustic

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