Stability and time-domain analysis of the dispersive tristability in microresonators under modal coupling

Yannick Dumeige and Patrice Féron
Phys. Rev. A 84, 043847 – Published 28 October 2011

Abstract

Coupled nonlinear resonators have potential applications for the integration of multistable photonic devices. The dynamic properties of two coupled-mode nonlinear microcavities made of Kerr material are studied by linear stability analysis. Using a suitable combination of the modal coupling rate and the frequency detuning, it is possible to obtain configurations where a hysteresis loop is included inside other bistable cycles. We show that a single resonator with two modes both linearly and nonlinearly coupled via the cross-Kerr effect can have a multistable behavior. This could be implemented in semiconductor nonlinear whispering-gallery-mode microresonators under modal coupling for all optical signal processing or ternary optical logic applications.

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  • Received 29 April 2011

DOI:https://doi.org/10.1103/PhysRevA.84.043847

©2011 American Physical Society

Authors & Affiliations

Yannick Dumeige* and Patrice Féron

  • Université Européenne de Bretagne, Laboratoire Foton and CNRS, UMR 6082 Foton, Enssat, BP 80518, F-22305 Lannion Cedex, France

  • *yannick.dumeige@univ-rennes1.fr

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Issue

Vol. 84, Iss. 4 — October 2011

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