论文标题
克尔色散光腔中局部状态的起源，分叉结构和稳定性
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities
论文作者
论文摘要
局部相干结构可以在具有KERR型非线性的外部驱动色散光腔中形成。此类系统由Lugiato-Lefever方程式描述，该方程支持各种动力学解决方案。在这里，我们回顾了我们对一维Lugiato-Lefever方程中局部结构的形成，稳定性和分叉结构的当前知识。我们这样做是通过关注两个主要操作方案：异常和正常的二阶分散。在异常政权中，局部模式在同层蛇形场景中组织起来，该场景最终被破坏，导致叶面蛇形结构。然而，在正常状态下，局部结构经历了不同类型的分叉结构，称为崩溃。
Localized coherent structures can form in externally-driven dispersive optical cavities with a Kerr-type nonlinearity. Such systems are described by the Lugiato-Lefever equation, which supports a large variety of dynamical solutions. Here, we review our current knowledge on the formation, stability and bifurcation structure of localized structures in the one-dimensional Lugiato-Lefever equation. We do so by focusing on two main regimes of operation: anomalous and normal second-order dispersion. In the anomalous regime, localized patterns are organized in a homoclinic snaking scenario, which is eventually destroyed, leading to a foliated snaking bifurcation structure. In the normal regime, however, localized structures undergo a different type of bifurcation structure, known as collapsed snaking.
