Conforti Matteo, Biancalana Fabio
Opt Lett. 2017 Sep 15;42(18):3666-3669. doi: 10.1364/OL.42.003666.
We introduce a new model that 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 nonlinearities are high enough to be able to excite more than one cavity resonance.
我们引入了一种新模型,该模型将卢吉亚托 - 莱费弗方程扩展到克尔光腔中多个共振的描述。即使使用少量共振,它在定量上(在稳态和动态状态下)与精确的池田映射完全一致。我们的模型预测了诸如最近观察到的超腔孤子和多种非线性状态共存等复杂现象的出现。当强度或非线性足够高,能够激发不止一个腔共振时,该模型对于从分析角度理解克尔腔中的新非线性现象将至关重要。