Regensburg 2022 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 15: Delay and Feedback Dynamics
DY 15.4: Vortrag
Dienstag, 6. September 2022, 10:15–10:30, H19
Dynamics of square waves in a vertical external-cavity delayed Kerr-Gires-Tournois interferometer — •Elias R. Koch1, 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 mechanisms of square wave (SW) formation in a monomode micro-cavity, containing a nonlinear Kerr medium coupled to a long external feedback cavity under continuous wave injection. Employing a first-principle delay-algebraic equation (DAE) model in the long delay limit, we provide a simple analytical approximation of the SW's plateau intensities and the bifurcation points limiting the range of existence of the SWs. Using a combination of path-continuation techniques and direct numerical simulations, we show that depending on the system parameters SWs can exhibit homoclinic snaking leading to the formation of complex-shaped multistable SW solutions. Beyond that, more complex SW dynamics can be identified, including a period doubling route to chaos. The results obtained from the full DAE model and the simple analytical approximation are in excellent agreement. Furthermore, we demonstrate that SWs can be used as a platform to host other structures and we show that robust multiple bound states consisting of localized pulses can be formed on the SW plateaus.