Is single-mode lasing possible in an infinite periodic system?
Optics
2020-08-04 v2
Abstract
In this Letter, we present a rigorous method to study the stability of periodic lasing systems. In a linear model, the presence of a continuum of modes (with arbitrarily close lasing thresholds) gives the impression that stable single-mode lasing cannot be maintained in the limit of an infinite system. However, we show that nonlinear effects of the Maxwell-Bloch equations can lead to stable systems near threshold given a simple stability condition on the sign of the laser detuning compared to the band curvature. We examine band-edge (1d) and bound-in-continuum (2d) lasing modes and validate our stability results against time-domain simulations.
Cite
@article{arxiv.2006.12629,
title = {Is single-mode lasing possible in an infinite periodic system?},
author = {Mohammed Benzaouia and Alexander Cerjan and Steven G. Johnson},
journal= {arXiv preprint arXiv:2006.12629},
year = {2020}
}