Multiple scattering of light in superdiffusive media
arXiv:1003.2053 · doi:10.1103/PhysRevLett.105.163902
Abstract
Light transport in superdiffusive media of finite size is studied theoretically. The intensity Green's function for a slab geometry is found by discretizing the fractional diffusion equation and employing the eigenfunction expansion method. Truncated step length distributions and complex boundary conditions are considered. The profile of a coherent backscattering cone is calculated in the superdiffusion approximation.
4 pages, 3 figures
References in corpus (10)
- Matrix approach to discrete fractional calculus II: partial fractional differential equations
- Fractional Laplacian in Bounded Domains
- First passage and arrival time densities for Lévy flights and the failure of the method of images
- Leapover lengths and first passage time statistics for Lévy flights
- Levy Anomalous Diffusion and Fractional Fokker--Planck Equation
- Average Time Spent by Levy Flights and Walks on an Interval with Absorbing Boundaries
- Levy flights from a continuous-time process
- Lévy flights of photons in hot atomic vapours
- Towards deterministic equations for Levy walks: the fractional material derivative
- Discrete random walk models for symmetric Levy-Feller diffusion processes
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- Near-resonant light transmission in two-dimensional dense cold atomic media with short-range positional correlations
- Analysis of dependent scattering mechanism in hard-sphere Yukawa random media
- Superdiffusive random laser
- Numerical study of anomalous diffusion of light in semi-crystalline polymer structures
- Structural correlations and dependent scattering mechanism on the radiative properties of random media