On applicability of inhomogeneous diffusion approach to localized transport through disordered waveguides

TL;DR

This paper demonstrates that wave transport in disordered waveguides can be effectively modeled using an inhomogeneous diffusion approach, revealing how the diffusion coefficient depends on localization and absorption effects.

Contribution

It introduces an analytical and numerical framework for inhomogeneous diffusion modeling in disordered waveguides, highlighting the influence of source position and absorption.

Findings

IDC retains source memory in localized regime

IDC becomes source-independent in absorbing media

Diffusion approach accurately describes wave transport

Abstract

In this work we show analytically and numerically that wave transport through random waveguides can be modeled as a diffusion with an inhomogeneous diffusion coefficient (IDC). In localized regime, IDC retains the memory of the source position. In an absorbing random medium, IDC becomes independent of the source.