Regensburg 2022 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 15: Delay and Feedback Dynamics
DY 15.3: Vortrag
Dienstag, 6. September 2022, 10:00–10:15, H19
Frequency combs and localized states in time-delayed Kerr-Gires-Tournois interferometers — •Thomas G. Seidel1,2, Julien Javaloyes2, and Svetlana V. Gurevich1,2 — 1Institute for Theoretical Physics & Center for Nonlinear Science (CeNoS), University of Münster, Schlossplatz 2, 48149 Münster, Germany — 2Dpt. de Física, Universitat de les Illes Balears & IAC-3, Campus UIB, E-07122 Palma de Mallorca, Spain
We study theoretically the formation of phase-locked temporal localized states (TLSs) and frequency combs. Our system consists in an optically injected Fabry-Perot micro-cavity containing a Kerr medium that is coupled to an external cavity. Using a first-principles model based on delay algebraic equations (DAEs) and applying a combination of direct numerical simulations and path continuation methods, we disclose sets of multistable dark and bright TLSs coexisting on their respective bistable homogeneous backgrounds. We show that the detuning of the injection with respect to the micro-cavity resonance controls the region of existence of TLSs and its change can lead to a period-doubling route to chaos. Understanding the influence of the system parameters on physical mechanisms such as group delay dispersion and third order dispersion do not appear so obvious in the DAE model. Therefore, we transform the DAE into a real order parameter equation by using a rigorous multiple time scale analysis applied at the onset of bistability. The normal form given by a real Ginzburg-Landau equation and the full DAE model exhibit excellent quantitative agreement in both one- and two-parameter bifurcation diagrams.