Influence of Spatial Correlations on the Lasing Threshold of Random Lasers

TL;DR

This paper numerically investigates how spatial correlations in disordered media affect the lasing threshold, revealing that such correlations increase the threshold contrary to previous predictions, with implications for photonic and electronic systems.

Contribution

It demonstrates through numerical modeling that spatial correlations in disorder raise the lasing threshold, challenging prior assumptions about their effect.

Findings

Spatial correlations increase decay rates of eigenmodes.

Correlations lead to higher lasing thresholds.

Results apply to both photonic and electronic systems.

Abstract

The lasing threshold of a random laser is computed numerically from a generic model. It is shown that spatial correlations of the disorder in the medium (i.e., dielectric constant) lead to an increase of the decay rates of the eigenmodes and of the lasing threshold. This is in conflict with predictions that such correlations should lower the threshold. While all results are derived for photonic systems, the computed decay rate distributions also apply to electronic systems.