Parametric instabilities in modulated fiber ring cavities
Résumé
We investigate modulational instability in inhomoge-neous passive cavities modeled by the Ikeda map. The cavity boundary conditions and the modulation of the fiber dispersion force the system to develop paramet-ric instabilities, which lead to the generation of simple as well as period doubled temporal patterns. The analytical results obtained by means of Floquet theory are validated through numerical solution of the Ikeda map, and the limitation of the mean-field Lugiato-Lefever model are highlighted.
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