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DY: Fachverband Dynamik und Statistische Physik
DY 18: Pattern Formation, Delay and Nonlinear Stochastic Systems
DY 18.8: Vortrag
Dienstag, 19. März 2024, 11:45–12:00, BH-N 128
Temporal localized states in an injected Kerr Gires-Tournois Interferometer: The influence of phase modulation. — •Marc Hunkemöller1, Thomas Seidel1, Svetlana Gurevich1,2, and Julien Javaloyes3 — 1Institute for Theoretical Physics, University of Münster, Germany — 2Center for Nonlinear Science, University of Münster, Germany — 3Departament de Física & IAC-3, Universitat de les Illes Balears, Spain
We study an injected Kerr Gires-Tournois interferometer (KGTI) in which a periodic modulation of the feedback phase is introduced that can be interpreted as a periodic potential. We investigate the first principle model based upon delay algebraic equations using direct numerical simulations and path continuation techniques. The micro-cavity's dispersion and Kerr effect combined with detuned injection give rise to temporal localized states (TLSs) which live on a continuous wave (CW) background and synchronize with the periodic potential. We show that the Arnold tongues limiting the synchronized regime are realized by a SNIPER bifurcation. Furthermore, we study the movement of the TLSs in the periodic potential, caused by third order dispersion. In the limit of weak injection and small cavity losses the system is compared to the Lugiato-Lefever equation. The linear part is solved by Hermite-Gauss modes therefore a mode decomposition is conducted.
Keywords: Synchronization; temporal localized states; delay differential equation; Kerr effect; interferometer