Light transport behaviours in quasi-1D disordered waveguides composed of random photonic lattices

TL;DR

This paper numerically investigates how disorder strength influences light transport in quasi-1D disordered waveguides with random dielectric scatterers, revealing a transition from ballistic to localized regimes.

Contribution

It introduces a generalized scaling function for light transport and analyzes the transition from diffusion to localization in such waveguides.

Findings

Transport mean free path inversely proportional to the square of dielectric fluctuation

Transport can be modulated from ballistic to localized regimes

Diffusion coefficient and energy density profiles show transition from diffusion to localization

Abstract

We present a numerical study on the light transport properties which are modulated by the disorder strength in quasi-one-dimensional disordered waveguide which consists of periodically arranged scatterers with random dielectric constant. The transport mean free path is found to stay inversely proportional to the square of the relative fluctuation of the dielectric constant as in the 1D and 2D cases but with . The transport properties of light through a sample with a fixed size can be modulated from ballistic to localized regime as well, and a generalized scaling function is defined to determine the light transport status in such a sample. The calculation of the diffusion coefficient and the energy density profile of the most transmitted eigenchannel clearly exhibits the transition of transport behaviour from diffusion to localization.