Behaviour of light transmission channels in random media with inhomogeneous disorder

TL;DR

This study numerically investigates how inhomogeneous disorder affects light transmission channels in random media, revealing that longitudinal inhomogeneity does not alter channel statistics, while transverse inhomogeneity significantly impacts transmission properties.

Contribution

It provides a detailed comparison of longitudinal and transverse inhomogeneity effects on light transmission channels in random media, highlighting differences in statistical behavior.

Findings

Longitudinal inhomogeneity does not change transmission channel statistics.

Transverse inhomogeneity causes eigenvalues to shift to distribution edges.

Total transmission distribution broadens with transverse inhomogeneity.

Abstract

We present a numerical study on the light transport properties and statistics of transmission channels in random media with inhomogeneous disorder. For the case of longitudinal inhomogeneity of disorder we find that the statistics of the transmission channels is independent of the inhomogeneity and the system can be equivalent to a counterpart with homogeneous disorder strength, both of which have the same statistical distribution of the transmission channels. However, for the case of transverse inhomogeneity of disorder, such equivalence does not exist, moreover, the transmission eigenvalues are pushed to the two ends of the distribution and the distribution of the total transmission is broadened since the spatial structure gives rise to larger and smaller transmitted incident channels.