Two-dimensional optical chimera states in an array of coupled waveguide resonators
Pattern Formation and Solitons
2020-04-22 v1
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.
Cite
@article{arxiv.1912.10950,
title = {Two-dimensional optical chimera states in an array of coupled waveguide resonators},
author = {M. G. Clerc and S. Coulibaly and M. A. Ferré and M. Tlidi},
journal= {arXiv preprint arXiv:1912.10950},
year = {2020}
}
Comments
4 figures, 4 pages