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arXiv · 1912.10950

Two-dimensional optical chimera states in an array of coupled waveguide resonators

M. G. Clerc·S. Coulibaly·M. A. Ferré·M. Tlidi
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Abstract

Two-dimensional arrays of coupled waveguides or coupled microcavities allow to confine and manipulate light. Based on a paradigmatic envelope equation, we show that these devices, subject to a coherent optical injection, support coexistence between a coherent and incoherent emission. In this regime, we show that two-dimensional chimera state can be generated. Depending on initial conditions, the system exhibits a family of two-dimensional chimera states and interaction between them. We characterize these two-dimensional structures by computing their Lyapunov spectrum, and Yorke-Kaplan dimension. Finally, we show that two-dimensional chimera states are of spatiotemporal chaotic nature.

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M. G. Clerc, S. Coulibaly, M. A. Ferré, M. Tlidi. 2019-12-23. Two-dimensional optical chimera states in an array of coupled waveguide resonators. https://doi.org/10.1063/1.5133836

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