摘要
数值求解了标准化高阶修正非线性薛定谔方程.对二阶孤子在自陡峭(Self Steepening,简称SS)和自频移(Self FreguencyShift,简称SFS)两种高阶非线性效应影响下的传输特征及原理分别进行了研究,讨论了二阶孤子衰变产生的两个基孤子的峰值强度比与自陡峭参量、自频移参量之间的关系.结果表明,在高阶非线性效应影响下,二阶孤子在单模光纤中传输时会发生衰变,衰变后小振幅基孤子在前,大振幅基孤子在后;在自陡峭效应影响下,衰变后两个基孤子都发生时间轴上的延迟;在自频移效应影响下,衰变后小振幅基孤子发生时间轴上的超前,大振幅基孤子发生时间轴上的延迟;随着高阶非线性效应的增强,衰变产生的小振幅基孤子与大振幅基孤子的峰值强度比逐渐减小,在相同传输距离处,它们的分离程度逐渐增大.
Standard form of Higher-Order Nonlinear Schrdinger equation is solved numerically. The characteristic and principle of two-order soliton′s transmission under the effects of self-steepening effect and self-frequency shift effect are deeply studied separately. The relation between self-steepening parameter、self-frequency shift parameter and peak power ratio of two separate fundamental solitons produced by decay is discussed, respectively. The results show that two-order soliton transmitting in single mode optical fiber will decay when it is effected by higher-order nonlinear effects, and the fundamental soliton with little amplitude produced by decay is in front of the one with big amplitude;Two fundamental solitons delay after the decay under the effect of self-steepening effect, the fundamental soliton with little amplitude hastens after the decay under the effect of self-steepening effect, but the one with big amplitude delays; The peak power ratio of two separate fundamental solitons produced by decay descends, and the extent of separation of two fundamental solitons at same real distance ascend when higher-order nonlinear effects is reinforced.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2004年第4期31-35,共5页
Journal of Shaanxi Normal University：Natural Science Edition
基金
教育部骨干教师基金资助项目(2000-65)
