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Strong nonlocal interaction stabilizes cavity solitons with a varying size plateau

机译:强大的非局部相互作用可稳定具有不同尺寸平台的腔孤子

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Cavity solitons are localized light peaks in the transverse section of nonlinear resonators. These structures are usually formed under a coexistence condition between a homogeneous background of radiation and a self-organized patterns resulting from a Turing type of instabilities. In this issue, most of studies have been realized ignoring the nonlocal effects. Non-local effects can play an important role in the formation of cavity solitons in optics, population dynamics and plant ecology. Depending on the choice of the nonlocal interaction function, the nonlocal coupling can be strong or weak. When the nonlocal coupling is strong, the interaction between fronts is controlled by the whole non-local interaction function. Recently it has shown that this type of nonlocal coupling strongly affects the dynamics of fronts connecting two homogeneous steady states and leads to the stabilization of cavity solitons with a varying size plateau. Here, we consider a ring passive cavity filled with a Kerr medium like a liquid crystal or left-handed materials and driven by a coherent injected beam. We show that cavity solitons resulting for strong front interaction are stable in one and two-dimensional setting out of any type of Turing instability. Their spatial profile is characterized by a varying size plateau. Our results can apply to large class of spatially extended systems with strong nonlocal coupling.
机译:腔孤子是非线性谐振器横截面中的局部光峰。这些结构通常是在均匀的辐射背景与图灵类型的不稳定性导致的自组织图案之间共存的条件下形成的。在这个问题上,大多数研究都已经忽略了非局部效应。在光学,种群动态和植物生态学方面,非局部效应可在腔孤子的形成中发挥重要作用。根据非局部相互作用函数的选择,非局部耦合可以强也可以弱。当非局部耦合很强时,前沿之间的相互作用由整个非局部相互作用函数控制。最近,它表明这种类型的非局部耦合强烈地影响了连接两个均匀稳态的前沿的动力学,并导致了具有变化的平台尺寸的腔孤子的稳定。在这里,我们考虑一个环形无源腔,该腔填充有类似液晶或左手材料的Kerr介质,并由相干注入光束驱动。我们表明,由于任何一种图灵不稳定性,导致强烈前部相互作用的空腔孤子在一维和二维环境中都是稳定的。它们的空间轮廓以变化的平台尺寸为特征。我们的结果可以应用于具有强非局部耦合的大型空间扩展系统。

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