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
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
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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