二维Ginzburg-Landau介质中受踢孤子的斑图形成
Pattern formation by kicked solitons in the two-dimensionnal Ginzburg-Landau medium with a transverse grating
摘要：
本文考虑了基于二维复Ginzburg-Landau（CGL）方程的激光介质模型中的二维基本耗散孤子的踢激诱导迁移率。通过系统的模拟确定的脱钉阈值，并通过一个解析近似的方式来描述，取决于踢的方向。在阈值以上发现了各种模式形成情景。最典型的是，孤立子在潜在的细胞之间跳跃，在其尾流中留下不同大小的阵列图案。在激光腔中，该效应可以用作由种子光束的倾斜控制的选择性斑图形成的机制。自由运动的孤子具有两个不同的速度值。研究了自由孤子与钉扎阵列斑图的弹性和非弹性碰撞。
英文摘要：
We consider the kick-induced mobility of two-dimensional (2D) fundamental dissipative solitons in models of lasing media based on the 2D complex Ginzburg-Landau (CGL) equation including a spatially periodic potential (transverse grating). The depinning threshold is identified by means of systematic simulations, and described by means of an analytical approximation, depending on the orientation of the kick. Various pattern-formation scenarios are found above the threshold. Most typically, the soliton, hopping between potential cells, leaves arrayed patterns of different sizes in its wake. In the laser cavity, this effect may be used as a mechanism for selective pattern formation controlled by the tilt of the seed beam. Freely moving solitons feature two distinct values of the established velocity. Elastic and inelastic collisions between free solitons and pinned arrayed patterns are studied too.
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