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DY: Fachverband Dynamik und Statistische Physik
DY 18: Pattern Formation, Delay and Nonlinear Stochastic Systems
DY 18.10: Vortrag
Dienstag, 19. März 2024, 12:15–12:30, BH-N 128
Solitons beyond the uniform field limit in injected Kerr resonators — Thomas Seidel1, Julien Javaloyes2, and •Svetlana Gurevich1,3 — 1Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany — 2Departament de Física & IAC-3, Universitat de les Illes Balears, C/ Valldemossa km 7.5, 07122 Mallorca, Spain — 3Center for Nonlinear Science (CeNoS), University of Münster, Corrensstrasse 2, 48149 Münster, Germany
We elucidate the formation of temporal localized states (TLSs) in an injected Kerr-Gires-Tournois interferometer in the normal dispersion regime and operated far from the uniform field limit (UFL). Our first principle model is based upon time delayed algebraic equations whose uniform validity allows for a systematic exploration of all the parameter space. While in the weakly nonlinear regime the cavity response and the dynamics can be described by the Lugiato-Lefever equation (LLE), such a framework breaks down in the regimes of large detuning and injection. By using a combination of direct numerical simulations and path continuation techniques, we investigate these new regimes that departs from the UFL and find short, high-intensity TLSs which live on a single stable continuous wave (CW) background. In this regime, the previously stable upper CW solution becomes Turing unstable. Further, we analyze the transition between the LLE and the UFL and the change of the shape of the TLSs.
Keywords: Temporal Localized States; Kerr resonators; Lugiato-Lefever equation; Frequency combs; Time-delayed systems