暗怪波的相互作用

以耦合非线性薛定谔方程为理论模型,数值研究了两个一阶暗怪波在正常色散单模光纤中的相互作用.基于一阶暗怪波精确解,采用分步傅里叶数值模拟法,从间距、相位差和振幅系数比方面讨论相邻两个一阶暗怪波之间的相互作用.基于二阶暗怪波精确解,讨论了两个一阶暗怪波的非线性相互作用.研究结果表明:同相位情况下,间距参数T1为0、5、20时,相邻两个一阶暗怪波相互作用激发产生“扭结型”暗怪波.相比较于单个暗怪波发生能量的弥散,“扭结型”暗怪波分裂形成多个次暗怪波.反相位情况下,间距参数T1为2、7、12时,相邻两个一阶暗怪波相互作用也可以激发产生“扭结型”暗怪波.并且“扭结型”暗怪波初始激发的空间位置偏离原始单个暗怪波的位置5.振幅系数比越大,该空间位置越接近5.二阶暗怪波可以看作是两个一阶暗怪波的非线性叠加,复合型和三组分型二阶暗怪波与相邻两个一阶暗怪波的相互作用略有相似.

Interaction of Dark Rogue Waves

The coupled nonlinear Schrodinger equation was used as a theoretical model to study the interaction of two first-order dark rogue waves in a normal dispersion single-mode fiber.Based on the exact solution of first-order dark rogue wave,the interaction between two adjacent first-order dark rogue waves is discussed in terms of spacing,phase and ratio of amplitude coefficients using split-step Fourier numerical simulation.Based on the exact solution of the second-order dark rogue wave,the nonlinear interaction of two first-order dark rogue waves is discussed.The results show that the interaction of two adjacent in-phase first-order dark rogue waves will generate "twisted" dark rogue waves when the interval parameter T1 is 0,5,20.Compared to the energy diffusion of a single dark rogue wave,the "twisted" dark rogue wave can split and form multiple secondary dark rogue waves.In the case of out of-phase,when the interval parameter T1 is 2,7,12,the interaction of two adjacent first-order dark rogue waves can also stimulate and generatethe "twisted" dark rogue waves.And the initially excited spatial position of the "twisted" dark rogue wave deviates from that of the original single dark rogue wave.The larger the ratio of amplitude coefficients,the closer this spatial position is to 5.Second-order dark rogue waves can be regarded as the nonlinear superposition of two first-order dark rogue waves.The composite and threecomponent second-order dark rogue waves are slightly similar to the interaction between two adjacent first-order dark rogue waves.