变系数拉曼增益对两种特殊形式暗孤子传输特性的影响  

Effects of Variable Coefficient Raman Gain on the Transmission Characteristics of Two Special form of Dark Solitons

作　　者：赵岩[1] 宋丽军[1] 杨荣草[1] ZHAO Yan;SONG Li-jun;YANG Rong-cao(College of Physics &Electronics Engineering,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学物理电子工程学院

出　　处：《量子光学学报》2018年第4期444-451,共8页Journal of Quantum Optics

基　　金：国家自然科学基金(61775126);山西省自然科学基金(2016011038)

摘　　要：在非均匀光纤中,基于带有分布色散,自相位调制和自陡峭的变系数修正非线性薛定谔方程(Vc-MNLSE)及其两种暗孤子解,详细讨论了不同形式的拉曼增益对暗孤子解传输特性的影响。结果表明:周期的正弦函数拉曼增益会使两种暗孤子解的背景波产生周期性振荡,并且振荡周期和幅度均随正弦函数的参数变化而变化;双曲正弦函数和指数函数的拉曼增益将会使两种暗孤子解的背景波功率升高;正切函数的拉曼增益会使两种暗孤子解的背景波产生阶跃性变化,且周期振荡暗孤子解会在传输过程中发生分裂。In inhomogeneous optical fiber,based on the variable coefficient modified nonlinear Schr9 dinger equation(Vc-MNLSE)with distributed dispersion,self-phase and self-steepness,two dark solitons are discussed,mainly including the influence of Raman gain on the transmission characteristics of these dark solitons.The results show that the wave background of two dark solitons become periodic oscillation with the sine function of Raman gain,and the oscillation period and amplitude change with the parameters of the sine function.The hyperbolic sine function and exponential function Raman gain increase the background waves’ power of the two dark solitons.The tangent function Raman gain make the background of two dark solitons to change stepped and the periodic oscillating dark solitons split during the transmission process.

关 键 词：变系数 暗孤子 拉曼增益 自陡峭 

分 类 号：O437[机械工程—光学工程]