Multiple scattering of light in superdiffusive media

TL;DR

This paper develops a theoretical framework for understanding how light propagates in superdiffusive media, using fractional diffusion equations and eigenfunction expansions to analyze intensity profiles and backscattering phenomena.

Contribution

It introduces a novel approach to model light transport in superdiffusive media with finite size, considering complex boundary conditions and truncated step length distributions.

Findings

Derived the Green's function for superdiffusive media in slab geometry.

Calculated the coherent backscattering cone profile in the superdiffusion regime.

Provided insights into boundary effects on light transport in complex media.

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.