Berlin 2024 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Poster: Nonlinear Dynamics, Pattern Formation and Networks
DY 33.12: Poster
Mittwoch, 20. März 2024, 15:00–18:00, Poster C
Dynamics and bifurcation analysis of active mode-locked semiconductor lasers — •Elias Koch1, Svetlana Gurevich1,3, and Julien Javaloyes2 — 1Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany — 2Departament de Física, Universitat de les Illes Balears & IAC-3, Cra. de Valldemossa, km 7.5, E-07122 Palma de Mallorca, Spain — 3Center for Nonlinear Science (CeNoS), University of Münster, Corrensstraße 2, 48149 Münster, Germany
We study theoretically the dynamics and bifurcations of an actively mode-locked laser by employing a delay differential equation model. This allows us to consider regimes of high gain and losses typical of semiconductor lasers. Using a combination of numerical path continuation and direct numerical simulation we find that the solution branches corresponding to higher order Hermite-Gauss modes in a modulated potential can interact leading to a complex scenario. By performing a multiple time-scale analysis close to the lasing threshold, we derive a Haus master equation which shows a good agreement with the original time-delayed model. Finally, we study the regime of multiple pulses in a cavity. There, we identify different dynamical regimes and the underlying bifurcation structure, discovering a global bifurcation scenario.