Multi-resonant Lugiato–Lefever model :a new paradigm for cavity nonlinear optics
Résumé
We introduce a new model, which extends the Lugiato-Lefever equation to the description of multiple resonances in Kerr optical cavities. It perfectly agrees quantitatively (in both stationary and dynamical regimes) with the exact Ikeda map even when using a small number of resonances. Our model predicts the onset of complex phenomena such as the recently observed super-cavity solitons, and the coexistence of multiple nonlinear states. It will be of crucial importance for the analytical understanding of new nonlinear phenomena in Kerr cavities when the intensities or the nonlinearities are high enough to be able to excite more than one cavity resonance.
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