Statistical Description of Transport in Multimode Fibers with Mode-Dependent Loss

TL;DR

This paper develops a statistical framework combining free probability and filtered random matrices to describe wave transport in multimode fibers with mode-dependent loss, validated by experimental data.

Contribution

It introduces a novel statistical model for multimode fiber transport considering mode-dependent loss and incomplete matrix access, merging free probability with filtered random matrices.

Findings

The model accurately predicts light transport behavior in multimode fibers.

The approach successfully matches experimental measurements.

Provides new insights into wave propagation under complex loss conditions.

Abstract

We analyze coherent wave transport in a new physical setting associated with multimode wave systems where reflection is completely suppressed and mode-dependent losses together with mode-mixing are dictating the wave propagation. An additional physical constraint is the fact that in realistic circumstances the access to the scattering (or transmission) matrix is incomplete. We have addressed all these challenges by providing a statistical description of wave transport which fuses together a free probability theory approach with a Filtered Random Matrix ensemble. Our theoretical predictions have been tested successfully against experimental data of light transport in multimode fibers.