Is single-mode lasing possible in an infinite periodic system?
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Aug 03, 2020
- Source ID
- 10.1063/5.0019353
Entities
People
- Alexander Cerjan
- Mohammed Benzaouia
- Steven G. Johnson
Organizations
- Massachusetts Institute of Technology
- Pennsylvania State University
- United States Army