Statistical properties of one-dimensional random lasers

TL;DR

This paper investigates the statistical behavior of one-dimensional disordered laser systems, revealing mode competition effects, saturation phenomena, and matching experimental spectral and intensity distributions through numerical analysis.

Contribution

It introduces a numerical approach to analyze the statistical properties of one-dimensional disordered lasers, highlighting mode competition and spectral statistics.

Findings

Mode competition causes saturation of lasing modes with increased pump

Lasing mode intensities vary nonmonotonically with pump rate

Spectral spacing and intensity distributions align with experimental data

Abstract

Statistical properties of a laser based on a one-dimensional disordered superlattice open at one side are studied numerically. The passive normal modes of the system are determined using the Feshbach projection technique. It is found that the mode competition due to the spacial hole burning leads to a saturation of the number of lasing modes with increasing pump rate. It is also responsible for nonmonotonic dependence of intensities of lasing modes as functions of pumping. Computed distributions of spectral spacing and intensity statistics are in qualitative agreement with experimental results.