Effect of amplification on conductance distribution of a disordered waveguide

TL;DR

This paper investigates how optical gain affects the conductance distribution in disordered waveguides, revealing that amplification significantly alters the distribution despite similar fluctuations to passive media, based on numerical simulations.

Contribution

It demonstrates through simulations that amplification changes the conductance distribution in disordered media, differing from passive systems with similar fluctuation levels.

Findings

Amplification increases conductance fluctuations.

Conductance distribution in amplifying media differs from passive systems.

Numerical simulations reveal qualitative differences despite similar fluctuation measures.

Abstract

Introduction of optical gain to a disordered system results in enhanced fluctuations [$F_{(2)}=var(\tilde{g})/< \tilde{g} >^2$] of dimensionless conductance $\tilde{g}$, similar to the effect of Anderson localization in passive medium. Using numerical simulations we demonstrate that despite of such qualitative similarity, the whole distribution of conductance of amplifying random media is drastically different from that of passive system with the same value of $F_{(2)}$.