Effects of localization and amplification on distribution of intensity transmitted through random media

TL;DR

This study investigates how localization and amplification influence the statistical distribution of transmitted intensity in random media, revealing a universal fit for non-Rayleigh distributions and their dependence on system parameters.

Contribution

It introduces a numerical analysis linking the distribution of transmitted intensity to the dimensionless conductance and gain/absorption, extending previous analytical models.

Findings

Non-Rayleigh distribution fits well with Nieuwenhuizen et al.'s formula.

In passive systems, $g'$ is uniquely related to $g$.

In amplifying/absorbing media, $g'$ depends on gain/absorption.

Abstract

We numerically study the statistical distribution of intensity transmitted through quasi-one dimensional random media by varying the dimensionless conductance $g$ and the amount of absorption or gain. Markedly non-Rayleigh distribution is found to be well fitted by the analytical formula of Nieuwenhuizen {\it et al}, Phys. Rev. Lett. {\bf 74}, 2674 (1995) with a single parameter $g^\prime$. We show that in the passive random system $g^\prime$ is uniquely related to $g$, while in amplifying/absorbing random media $g^\prime$ also depends on gain/absorption coefficient.