Competing Turing and Faraday Instabilities in Longitudinally Modulated Passive Resonators

François Copie (1) , Matteo Conforti (1) , Alexandre Kudlinski (1) , Arnaud Mussot (1) , Stefano Trillo (2)

1 PhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523
2 Engineering Department [Ferrara]

We experimentally investigate the interplay of Turing (modulational) and Faraday (parametric) instabilities in a bistable passive nonlinear resonator. The Faraday branch is induced via parametric resonance owing to a periodic modulation of the resonator dispersion. We show that the bistable switching dynamics is dramatically affected by the competition between the two instability mechanisms , which dictates two completely novel scenarios. At low detunings from resonance switching occurs between the stable stationary lower branch and the Faraday-unstable upper branch, whereas at high detunings we observe the crossover between the Turing and Faraday periodic structures. The results are well explained in terms of the universal Lugiato-Lefever model.

Domaines: Formation de Structures et Solitons [nlin.PS]; Optique [physics.optics]

François Copie, Matteo Conforti, Alexandre Kudlinski, Arnaud Mussot, Stefano Trillo. Competing Turing and Faraday Instabilities in Longitudinally Modulated Passive Resonators. Physical Review Letters, 2016, 116 (14), ⟨10.1103/PhysRevLett.116.143901⟩. ⟨hal-02387388⟩