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DY: Fachverband Dynamik und Statistische Physik
DY 18: Pattern Formation, Delay and Nonlinear Stochastic Systems
DY 18.9: Talk
Tuesday, March 19, 2024, 12:00–12:15, BH-N 128
Temporal localized states in an injected Kerr-Gires-Tournois interferometer in the regime of anomalous dispersion — •Tim Lohmann1, Thomas G. Seidel1, Julien Javaloyes2, and Svetlana V. Gurevich1,2,3 — 1Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany — 2Departament de Física, Universitat de les Illes Balears and 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 are interested in the dynamics of temporal localized states (TLSs) in an injected Kerr-Gires-Tournois interferometer (KGTI) in the regime of anomalous dispersion. In this regime and in the uniform field limit, the first principle model based upon delay algebraic equations can be approximated by the Lugiato-Lefever partial differential equation, giving rise to the formation of TLSs.Using the combination of numerical simulations and path continuation techniques, we demonstrate that for parameter values far away from the Lugiato-Lefever regime a new form of short high-intensity TLSs emerges.
Keywords: Temporal Localized States; Kerr resonators; Lugiato-Lefever equation; Frequency combs; Time-delayed systems