Supersymmetric field theory of local light diffusion in semi-infinite media

TL;DR

This paper develops a supersymmetric field theory to analyze local light diffusion in semi-infinite disordered media, confirming previous models and revealing a crossover from weak to strong localization in backscattering.

Contribution

It introduces a supersymmetric field theoretical approach to justify and extend the understanding of local light diffusion and localization phenomena in semi-infinite media.

Findings

Justifies local light diffusion at the perturbative level

Shows crossover from 2D weak to 1D strong localization

Analyzes coherent backscattering line shape

Abstract

A supersymmetric field theory of light diffusion in semi-infinite disordered media is presented. With the help of this technique we justify--at the perturbative level--the local light diffusion proposed by Tiggelen, Lagendijk, and Wiersma [Phys. Rev. Lett. \textbf{84}, 4333 (2000)], and show that the coherent backscattering line shape of medium bar displays a crossover from two-dimensional weak to quasi-one-dimensional strong localization.