Dresden 2017 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 12: Delay and Feedback Dynamics
DY 12.1: Talk
Monday, March 20, 2017, 15:30–15:45, ZEU 147
Delayed feedback control of localized states in a broad area vertical cavity surface emitting laser with saturable absorbtion — •Svetlana Gurevich1, Christian Schelte1, Mustapha Tlidi2, and Krassimir Panajotov3 — 1University of Münster, Germany — 2Université libre de Bruxelles, Belgium — 3Vrije Universiteit Brussel, Belgium
We are interested in spatio-temporal dynamics of localized solitons in a transverse section of a broad area vertical cavity surface emitting laser (VCSEL) with saturable absorbtion subjected to time-delayed optical feedback. In the absence of delayed feedback, a single branch of localized solutions appears. However, in the presence of the feedback term, the branches of localized solutions fill the surface of the "solution tube" in the parameter space, which is filled densely with increasing delay time. Further, our study reveals that the multistability of stationary solutions is caused by a delayed-induced phase bifurcation. In addition, the thresholds of the drift and phase bifurcations as well as corresponding bifurcation diagrams are obtained using a combination of analytical and numerical continuation methods. It turns out that both thresholds tend to zero in the limit of large delay times. In addition, we demonstrate that the delayed feedback can induce Andronov-Hopf bifurcations and a period doubling route to chaos. A coupling between this bifurcation scenario with the delay-induced multistability leads to a complex spatio-temporal behavior of the system in question.