Modelling of energy-dependent nonlinearities in microresonator filtered lasers

Cutrona, A. and Cooper, A. and Gongora, J.S. Totero and Oppo, G.-L. and Peccianti, M. and Pasquazi, A.; (2025) Modelling of energy-dependent nonlinearities in microresonator filtered lasers. In: 2025 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC). 2025 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC) . IEEE, DEU. ISBN 979-8-3315-1252-1 (https://doi.org/10.1109/cleo/europe-eqec65582.2025...)

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Abstract

Laser cavity-solitons (LCSs) are characteristic states of microresonator-filtered lasers [1] and represent one of the most promising solutions for implementing optical frequency combs in such systems [2]–[4]. Mean-field models are powerful mathematical frameworks that provide an effective and comprehensive description of the key features of cavity solitons [5], [6]. In this work, we present a general approach to effectively incorporate localised losses and energy-dependent, slow-time effects (i.e. thermal detuning and gain saturation), in the mean field model for LCS starting from general principles. Specifically, we employ a multiple-scale approach to integrate gain effects derived from the Maxwell-Bloch equations and thermal decay, linking key parameters such as the amplification gain and the common frequency detuning between the microresonator and the laser cavity modes to reach a set of ordinary differential equations. We demonstrate that the inclusion of these equations effectively implements an energy-based feedback mechanism [4].

ORCID iDs

Cutrona, A., Cooper, A., Gongora, J.S. Totero, Oppo, G.-L. ORCID logoORCID: https://orcid.org/0000-0002-5376-4309, Peccianti, M. and Pasquazi, A.;