SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 45: Poster: Nonlinear Dynamics, Pattern Formation and Networks

DY 45.4: Poster

Donnerstag, 30. März 2023, 13:00–16:00, P1

Temporal localized states and square waves in semiconductor micro-resonators with strong time delayed feedback — •Elias R. Koch1,2, Thomas Seidel1, Julien Javaloyes2, and Svetlana V. Gurevich11Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany — 2Departament de Física & IAC-3, Universitat de les Illes Balears, C/ Valldemossa km 7.5, 07122 Mallorca, Spain

Recent works demonstrated the promising potential of injected micro-resonators enclosed into external cavities as high-power, tunable sources of Frequency Combs in the near infra-red. It was shown that the natural modeling approach consists in using singularly perturbed time delayed systems. Departing from former studies that considered a single intensity dependent refractive index (i.e. Kerr nonlinearity) we explore in this contribution the impact of a semiconductor Quantum-Well as the nonlinear element. A first principle model for the optical response is employed which allows to explore the influence of the detuning with respect to the band-gap. We show that this extended model predicts the existence of a bistable set of bright and dark temporally localized states as well as square-waves, with a periodic of twice the delay in the case of antiresonant optical feedback.

Finally, in order to clarify the influence of the second and third order chromatic dispersion and of the frequency dependence of the quantum-well response, we perform a multiple time-scale analysis in the so-called good cavity limit. The resulting normal form PDE shows a good agreement with the original, first principle, time delayed model.

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