二维涡旋空间孤子在Kerr型自聚焦介质中的传输及相互作用  

The Transmission and the Interaction of 2-D Vortex Spatial Solitons in Kerr Self-Focusing Media

作　　者：李淑青[1] 李录[2] 

机构地区：[1]太原工业学院理学系,山西太原030008 [2]山西大学物理电子工程学院,山西太原030006

出　　处：《中北大学学报（自然科学版）》2014年第3期243-247,共5页Journal of North University of China(Natural Science Edition)

摘　　要：针对二维涡旋空间孤子在Kerr型自聚焦介质中的演化进行了研究,利用拉普拉斯变换简化了演化方程,对已经求出的分析解给出了振幅的取值范围.用数值模拟的方法分析了普通孤子和涡旋孤子传输的特点,分别分析了拓扑荷的值和振幅对涡旋孤子相互作用的影响,发现当拓扑荷m=1时,涡旋孤子之间的相互作用较弱,并以此为例分析了振幅对两涡旋孤子相互作用的影响,发现选取合适的振幅范围可以抑制两涡旋孤子的相互作用.The two dimensional vortex spatial solitons in the evolution of self-focusing Kerr media was studied and the evolution equation was simplified by using Laplace transforms,to the analysis solution calculated,the amplitude scope has been given.By numerical simulation,characteristics of ordinary solitons and vortex solitons transmission was studied and the impact of different topological charges＇ values and amplitudes to the interaction of the vortex solitons was analyzed,and then it was studied that the impact of the topological charges＇ amplitude to the interaction of two vortex solitons based on the example,the results show that the interaction is weakest when the topological charges m=1and it can also be weakened by selecting the appropriate amplitude scope.

关 键 词：拓扑荷 涡旋孤子 数值模拟 

分 类 号：O437[机械工程—光学工程]