Statistics of radiation in a disordered medium: from ballistic to diffusive regime

TL;DR

This paper analyzes the distribution of radiation intensity in disordered media across ballistic and diffusive regimes using diagram techniques and topological analysis.

Contribution

It provides a unified framework for understanding radiation statistics in random media for all scattering regimes.

Findings

Derived distribution functions for various scattering regimes

Unified approach bridging ballistic and diffusive limits

Applicable to arbitrary propagation distances and mean free paths

Abstract

The distribution function for the intensity of radiation propagating in a random medium is analyzed for arbitrary multiplicity of scattering (for arbitrary relation between the distance of propagation and mean free path), including as limiting cases purely ballistic and purely diffusive regimes. The calculation is fulfilled in the framework of diagram techniques and is based on the topological analysis of diagram.