论文标题
耦合模式和包络模型的层次结构，用于具有Kerr非线性的双向微孔子
A hierarchy of coupled mode and envelope models for bi-directional microresonators with Kerr nonlinearity
论文作者
论文摘要
我们考虑在具有Kerr非线性的双向泵环微孔子中的反传播波的相互作用。我们介绍了模式扩展的层次结构和包络函数，这些功能在由腔线范围和非线性，分散和重复率设置的不同时间尺度上演变，并提供了对相应层次结构的详细派生模式和lugiato-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-lefer-like like linke like。详细阐述了从控制动力学的方程式的重复速率频率的效果。
We consider interaction of counter-propagating waves in a bi-directionally pumped ring microresonator with Kerr nonlinearity. We introduce a hierarchy of the mode expansions and envelope functions evolving on different time scales set by the cavity linewidth and nonlinearity, dispersion, and repetition rate, and provide a detailed derivation of the corresponding hierarchy of the coupled mode and of the Lugiato-Lefever-like equations. An effect of the washout of the repetition rate frequencies from the equations governing dynamics of the counter-propagating waves is elaborated in details.
