频率选择反馈激光器Ginzburg-Landau模型中的一维到二维孤子
From one- to two-dimensional solitons in the Ginzburg-Landau model of lasers with frequency selective feedback
摘要：
我们使用三次复Ginzburg-Landau方程耦合到一个耗散线性方程作为模型的激光器与外部频率选择性反馈。已知反馈可以稳定一维（1D）自局域模。我们的目标是扩展到2D条纹形和涡旋孤子的分析。涡旋的半径随其拓扑荷$m$的增大而线性增大，因此平条纹孤子可以解释为具有$m=\infty$的涡旋，而涡旋孤子可以解释为弯曲成环的条纹.涡旋孤子的结果适用于广泛的一类物理系统。有一个定性的协议，我们的结果和最近报道的模型与饱和非线性。
英文摘要：
We use the cubic complex Ginzburg-Landau equation coupled to a dissipative linear equation as a model of lasers with an external frequency-selective feedback. It is known that the feedback can stabilize the one-dimensional (1D) self-localized mode. We aim to extend the analysis to 2D stripe-shaped and vortex solitons. The radius of the vortices increases linearly with their topological charge, $m$, therefore the flat-stripe soliton may be interpreted as the vortex with $m=\infty$, while vortex solitons can be realized as stripes bent into rings. The results for the vortex solitons are applicable to a broad class of physical systems. There is a qualitative agreement between our results and those recently reported for models with saturable nonlinearity.
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