论文标题
偶联系统耦合系统中的光流动波模式
The optical rogue wave patterns in coupled defocusing systems
论文作者
论文摘要
我们系统地研究了Rogue Wave的空间 - 周期性模式，$ n $ $（n \ geq2）$ - 组件耦合的defocted deDoceD通过非线性schrödinger方程。基本的流氓波解决方案以统一的形式给出，以用于聚焦和散落的情况。我们建立了调制不稳定性和流氓波模式之间的定量对应关系，这将先前报道的不平等关系发展为方程对应关系。例如，我们基于其时空结构的完整分类，证明了在两个组件耦合系统中流氓波模式的相图。相图使我们能够预测各种流氓波模式，例如在两个组件中具有四元结构的流氓波模式。这些结果对于控制两个正交极化光纤中的Rogue Wave激发是有意义的。
We systematically investigate rogue wave's spatial-temporal pattern in $N$ $(N\geq2)$-component coupled defocusing nonlinear Schrödinger equations. The fundamental rogue wave solutions are given in a unified form for both focusing and defocusing cases. We establish the quantitative correspondence between modulation instability and rogue wave patterns, which develops the previously reported inequality relation into an equation correspondence. As an example, we demonstrate phase diagrams for rogue wave patterns in a two-component coupled system, based on the complete classification of their spatial-temporal structures. The phase diagrams enable us to predict various rogue wave patterns, such as the ones with a four-petaled structure in both components. These results are meaningful for controlling the rogue wave excitations in two orthogonal polarization optical fibers.
