Abstract
We investigate dynamics of Kerr-nonlinear resonant structures consisting of two coupled ring resonators in an all-pass filter configuration. We observe rich dynamical behavior, classify the states, and present a detailed description of transitions from steady state to self-pulsing and chaos. We show that the finite relaxation time and loss may significantly affect the nature and occurrence of self-pulsing states. We also discuss effects of strength of the coupling between the resonators and resonance splitting on the period and onset of self-pulsing operation.
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Acknowledgments
The authors acknowledge the support of Brno University of Technology by the Projects CZ.1.07/2.3.00/30.0039 and FSI-S-14-2494. J.P. acknowledges the support of CEITEC—Central European Institute of Technology (Project CZ.1.05/1.1.00/02.0068), in the framework of European Regional Development Fund.
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Ekşioğlu, Y., Petráček, J. Dynamical analysis of double-ring resonator with non-instantaneous Kerr response and effect of loss. Opt Quant Electron 47, 3323–3335 (2015). https://doi.org/10.1007/s11082-015-0210-6
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DOI: https://doi.org/10.1007/s11082-015-0210-6