SCALING LIMITS FOR BEAM WAVE PROPAGATION IN ATMOSPHERIC TURBULENCE

DOI10.1142/S0219493704000973zbMath1114.86001arXivmath-ph/0305024MaRDI QIDQ5701567

Knut Sølna, Albert C. Fannjiang

Publication date: 3 November 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0305024

zbMATH Keywords

turbulencemartingalewhite-noiseParabolic wave

Mathematics Subject Classification ID

White noise theory (60H40) PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Meteorology and atmospheric physics (86A10) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (7)

Paraxial Wave Propagation in Random Media with Long-Range Correlations ⋮ An Effective Fractional Paraxial Wave Equation for Wave-Fronts in Randomly Layered Media with Long-Range Correlations ⋮ On effective attenuation in multiscale composite media ⋮ Fractional precursors in random media ⋮ Analysis of the Double Scattering Scintillation of Waves in Random Media ⋮ White-noise and geometrical optics limits of Wigner-Moyal equation for wave beams in turbulent media ⋮ White-noise and geometrical optics limits of Wigner-Moyal equation for beam waves in turbulent media. II: Two-frequency formulation

Cites Work

• A random wave process
• Semigroups of conditioned shifts and approximation of Markov processes
• Invariance principle for inertial-scale behavior of scalar fields in Kolmogorov-type turbulence
• Models of the scalar spectrum for turbulent advection
• Parabolic and Gaussian White Noise Approximation for Wave Propagation in Random Media
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