Self-averaging radiative transfer for parabolic waves

DOI10.1016/j.crma.2005.11.006zbMath1088.35054OpenAlexW2072618339MaRDI QIDQ2583821

Albert C. Fannjiang

Publication date: 18 January 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.11.006

zbMATH Keywords

Schrödinger equationrandom mediaquantum dynamicsWigner distributionrandom wavesMarkovian fluctuation

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (5)

Polarization effects for electromagnetic wave propagation in random media ⋮ Wave propagation in random media: beyond Gaussian statistics ⋮ Coupled paraxial wave equations in random media in the white-noise regime ⋮ Wave Backscattering by Point Scatterers in the Random Paraxial Regime ⋮ Fourth-moment analysis for wave propagation in the white-noise paraxial regime

Cites Work

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• On Wigner measures
• Classical and quantum transport in random media.
• Self-averaging scaling limits for random parabolic waves
• White-noise and geometrical optics limits of Wigner-Moyal equation for wave beams in turbulent media
• Asymptotic analysis of P.D.E.s with wide–band noise disturbances, and expansion of the moments
• Homogenization limits and Wigner transforms
• Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
• SELF-AVERAGING IN TIME REVERSAL FOR THE PARABOLIC WAVE EQUATION
• Derivation of the transport equation for electrons moving through random impurities

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