Comparative analysis of frequency combs in ring and Fabry-Perot quantum cascade lasers: an order-parameter equation approach

Carlo Silvestri; Paolo Bardella; Massimo Brambilla; Lorenzo Luigi Columbo

doi:10.1117/12.3002458

13 March 2024 Comparative analysis of frequency combs in ring and Fabry-Perot quantum cascade lasers: an order-parameter equation approach

Carlo Silvestri, Paolo Bardella, Massimo Brambilla, Lorenzo Luigi Columbo

Author Affiliations +

Proceedings Volume 12905, Novel In-Plane Semiconductor Lasers XXIII; 1290507 (2024) https://doi.org/10.1117/12.3002458
Event: SPIE OPTO, 2024, San Francisco, California, United States

Abstract

We compare the spontaneous formation of Optical Frequency Combs (OFCs) in ring and Fabry-Perot (FP) Quantum Cascade Lasers (QCLs), adopting a reduced model derived from the Effective Semiconductor MaxwellBloch Equations near threshold and in the hypothesis of fast medium polarization and carriers. This model consists of a single spatiotemporal equation for an order parameter represented by the electric field. While in the ring configuration it reduces to a single complex Ginzburg-Landau equation (CGLE), in agreement with recent studies, in the FP configuration a non local integral term accounts for the coupling between forward and backward fields and the corresponding equation is equivalent to two coupled CGLEs. We first demonstrate how this approach allows us to reproduce the main features of OFCs in the two considered configurations. Then, we leverage its reduced mathematical complexity and universality to gain more physical insight into not fully understood phenomena, such as the self-starting emergence of harmonic OFCs.

Conference Presentation

Citation Download Citation

Carlo Silvestri, Paolo Bardella, Massimo Brambilla, and Lorenzo Luigi Columbo "Comparative analysis of frequency combs in ring and Fabry-Perot quantum cascade lasers: an order-parameter equation approach", Proc. SPIE 12905, Novel In-Plane Semiconductor Lasers XXIII, 1290507 (13 March 2024); https://doi.org/10.1117/12.3002458

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