【摘要】 基于具有非线性自聚焦(自散焦)效应的光波传输模型,经无量纲化后得到一个(2+1)维变系数非线性薛定谔方程。引进相似变换,将该方程变换为标准的(2+1)维非线性薛定谔方程;在此基础上通过数值模拟分别研究了涡核间距和初始相位差对2个涡旋光孤子、4个涡旋光孤子、5个涡旋光孤子和6个涡旋光孤子相互作用的影响。对结果进行分析得出新的结论:1)涡旋光孤子在传播时保持形状不变,具有自相似特性;2)多个涡旋孤子沿着z轴方向传播时,会发生相互作用,只有当涡核之间的距离小于某持定值时,相互作用明显,当涡旋之间存在相位差时,涡旋孤子之间在传播过程中会发生能量转移,有的部分被加强,有的部分被减弱。更多还原

【Abstract】 Based on an optical transmission model with nonlinear self-focusing(self-defocusing) effects,a(2+1)-dimensional nonlinear Schrdinger equation is obtained under nondimensionalization.The(2+1)-dimensional variable coefficient nonlinear Schrdinger equation is transformed into the standard(2+1)-dimensional nonlinear Schrdinger equation by using similarity transformation.Interactions between two optical vortex solitons,among four,five and six optical vortex solitons in the waveguides are discussed with different vortex-core spacing and initial phase difference,respectively,by numerical simulation.Some new conclusions are obtained through analyzing the above results.1) The shape of vortex soliton with selfsimilar charcteristics sustain during the propagation along z-axis.2) Multiple vortex solitons interact with each other during the propagation along z-axis especially when the distance within them is smaller than a definite value,meanwhile the energy flow among them.Some are strengthened,and some are weakened.更多还原