Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Delay and Feedback Dynamics
DY 33.5: Talk
Tuesday, March 13, 2018, 15:00–15:15, BH-N 334
Dynamics of Temporal Localized States in Passively Mode-Locked Semiconductor Lasers — •Svetlana Gurevich1, Christian Schelte1,2, 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, C/ Valldemossa km 7.5, 07122 Mallorca, Spain
We are interested in the emergence and the stability of temporal localized structures in the output of a semiconductor laser passively mode-locked by a saturable absorber in the long cavity regime. Our analysis is based upon a generic model of mode-locking that consists in a time-delayed dynamical system,but also upon a much more numerically efficient, yet approximate, partial differential equation. We compare the results of the bifurcation analysis of both models in order to assess up to which point the two approaches are equivalent. In particular, by a detailed bifurcation analysis we show that additional solution branches that consist in multi-pulse solutions exist. Further, we demonstrate that the various solution curves for the single and multi-peak pulses can splice and intersect each other via transcritical bifurcations, leading to a complex web of solution. In addition, we disclose the existence of secondary dynamical instabilities where the pulses develop regular and subsequent irregular temporal oscillations.