色散二次腔中的参量局域斑图和呼吸子
Parametric localized patterns and breathers in dispersive quadratic cavities
摘要：
研究了双共振色散光学参量振荡器中局域斑图的形成。它们通过连接连续波和图灵模式状态的前沿的锁定而形成。这种类型的局部图案可以被看作是嵌入均匀环境中的图案块。它们被组织在一个同宿蛇形分岔结构，这是保持下的修改系统的控制参数。我们发现，在相位失配的存在下，本地化的图案可以经历振荡不稳定性，使他们呼吸在一个复杂的方式。
英文摘要：
We study the formation of localized patterns arising in doubly resonant dispersive optical parametric oscillators. They form through the locking of fronts connecting a continuous-wave and a Turing pattern state. This type of localized pattern can be seen as a slug of the pattern embedded in a homogeneous surrounding. They are organized in terms of a homoclinic snaking bifurcation structure, which is preserved under the modification of the control parameter of the system. We show that, in the presence of phase mismatch, localized patterns can undergo oscillatory instabilities which make them breathe in a complex manner.
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