Steady-state ab-initio laser theory for lasers with fully or nearly degenerate resonator modes

Abstract

We investigate the range of validity of the recently developed steady-state ab-initio laser theory (SALT). While very efficient in describing various microlasers, SALT is conventionally believed not to be applicable to lasers featuring fully or nearly degenerate pairs of resonator modes above the lasing threshold. Here we demonstrate how SALT can indeed be extended to describe such cases as well, with the effect that we significantly broaden the theory's scope. In particular, we show how to use SALT in conjunction with a linear stability analysis to obtain stable single-mode lasing solutions that involve a degenerate mode pair. Our flexible and efficient approach is tested on one-dimensional ring lasers as well as on two-dimensional microdisk lasers with broken symmetry.

11 pages, 5 figures

References in corpus (10)

• Coherent Perfect Absorbers: Time-reversed Lasers
• Loss-induced suppression and revival of lasing
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Supporting Online Material for "Strong Interactions in Multimode Random Lasers"
• Strong Interactions in Multimode Random Lasers
• Self-consistent multi-mode lasing theory for complex or random lasing media
• Ab initio self-consistent laser theory and random lasers
• Quantitative Verification of Ab Initio Self-consistent Laser Theory
• Pump-Controlled Modal Interactions in Microdisk Lasers
• Ab-initio multimode linewidth theory for arbitrary inhomogeneous laser cavities

Cited by in corpus (11)

• Experimental demonstration of spontaneous chirality in a nonlinear microresonator
• Statistical mechanics models for multimode lasers and random lasers
• Unidirectional lasing in nonlinear Taiji micro-ring resonators
• Nonlinear exceptional-point lasing with ab-initio Maxwell-Bloch theory
• Interaction-induced mode switching in steady-state microlasers
• Dynamic gain and frequency comb formation in exceptional-point lasers
• Continuum-atomistic simulation of picosecond laser heating of copper with electron heat capacity from ab initio calculation
• Amplified and directional spontaneous emission from arbitrary composite bodies: self-consistent treatment of Purcell effect below threshold
• Symmetry, stability, and computation of degenerate lasing modes
• Condensation of Thresholds in Multimode Microlasers
• Is single-mode lasing possible in an infinite periodic system?