Efficient first-principles inverse design of nanolasers
Be\~nat Martinez de Aguirre Jokisch, Alexander Cerjan, Rasmus Elleb{\ae}k Christiansen, Jesper M{\o}rk, Ole Sigmund, Steven G. Johnson

TL;DR
This paper introduces a first-principles inverse design method for nanolasers that combines nonlinear Maxwell-Bloch equations with SALT, enabling efficient optimization of laser cavity properties including gain and out-coupling.
Contribution
It presents a novel, computationally efficient inverse design framework for nanolasers based on first-principles physics and topology optimization.
Findings
High-Q cavity regimes enable simplified linear models.
Designs show strong dependence on gain region properties.
Topology optimization improves nanolaser performance.
Abstract
We develop and demonstrate a first-principles approach, based on the nonlinear Maxwell-Bloch equations and steady-state ab-initio laser theory (SALT), for inverse design of nanostructured lasers, incorporating spatial hole-burning corrections, threshold effects, out-coupling efficiency, and gain diffusion. The resulting figure of merit exploits the high- regime of optimized laser cavities to perturbatively simplify the nonlinear model to a single linear ''reciprocal'' Maxwell solve. The consequences for laser-cavity design, and in particular the strong dependence on the nature of the gain region, are demonstrated using topology optimization of both 2d and full 3d geometries.
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