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arXiv · 2006.12629

Is single-mode lasing possible in an infinite periodic system?

Mohammed Benzaouia·Alexander Cerjan·Steven G. Johnson
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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.

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Mohammed Benzaouia, Alexander Cerjan, Steven G. Johnson. 2020-06-22. Is single-mode lasing possible in an infinite periodic system?. https://doi.org/10.1063/5.0019353

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