Berlin 2024 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Poster: Nonlinear Dynamics, Pattern Formation and Networks
DY 33.11: Poster
Mittwoch, 20. März 2024, 15:00–18:00, Poster C
Square waves and Bykov T-points in a delay algebraic model for the Kerr-Gires-Tournois interferometer — Mina Stöhr1, •Elias Koch2, Julien Javaloyes3, Svetlana Gurevich2,4, and Matthias Wolfrum1 — 1Weierstrass Institute, Mohrenstrasse 39, 10117 Berlin, Germany — 2Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany — 3Departament de Física & IAC-3, Universitat de les Illes Balears, C/ Valldemossa km 7.5, 07122 Mallorca, Spain — 4Center for Nonlinear Science (CeNoS), University of Münster, Corrensstrasse 2, 48149 Münster, Germany
We study theoretically the mechanisms of square wave formation in an injected vertically emitting micro-cavity, containing a nonlinear Kerr medium and subjected to strong time-delayed optical feedback. We show that for large delays, square wave solutions of the time-delayed system can be treated as relative homoclinic solutions of an advanced argument equation. This allows the use of classical homoclinic bifurcation theory to study different types of square wave solutions. In particular, we unveil the mechanisms behind the collapsed snaking scenario of square waves and explain the formation of complex-shaped multistable square wave solutions through a Bykov T-point. Finally, we relate the position of the T-point to the position of the Maxwell point in the original time-delayed system.
Keywords: Delay; Laser; Kerr; Square Wave; Homoclinic