Statistical Distribution of Intensities Reflected from Disordered Media

TL;DR

This paper presents a theoretical analysis of the statistical distributions of reflected intensities from disordered media using random matrix theory, revealing distribution properties independent of transport regimes and validated by numerical simulations.

Contribution

It introduces an analytical approach to derive intensity distributions in disordered media and compares these with numerical results, highlighting regime-independent speckle statistics.

Findings

Speckle distributions are independent of transport regime.

Predicted probability densities match numerical simulations.

Analytical results apply to highly non-isotropic scattering.

Abstract

A theoretical analysis of the statistical distributions of the reflected intensities from random media is presented. We use random matrix theory to analytically deduce the probability densities in the localization regime. Numerical calculations of the coupling to backward modes in surface corrugated waveguides are also put forward for comparison. Interestingly, the speckle distributions are found to be independent of the transport regime. Despite the scattering being highly non-isotropic, the predicted probability densities reproduce accurately the numerical results.