Decay Rate Distributions of Disordered Slabs and Application to Random Lasers

TL;DR

This paper analyzes the decay rate distributions of eigenstates in disordered slabs through numerical simulations and analytical formulas, applying the findings to understand the lasing thresholds in random lasers.

Contribution

It introduces analytical formulas for decay rate distributions in disordered slabs applicable to both diffusive and localized regimes, aiding in random laser analysis.

Findings

Distribution formulas match numerical results well

Applicable to diffusive and localized regimes

Provides insights into random laser thresholds

Abstract

We compute the distribution of the decay rates (also referred to as residues) of the eigenstates of a disordered slab from a numerical model. From the results of the numerical simulations, we are able to find simple analytical formulae that describe those results well. This is possible for samples both in the diffusive and in the localised regime. As example of a possible application, we investigate the lasing threshold of random lasers.