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双芯耦合光纤准基孤子演化行为及孤子相互作用和啁啾效应的影响
Evolution Behavior of the Quasi-fundamental Soliton in the Twin-core Coupling Fibers and the Influence of Linear Chirp and Interaction Between Optical Soliton on This Evolution
【摘要】 应用变分原理,在考虑三阶色散、损耗和孤子间相互作用的情况下,对双芯耦合光纤中准基孤子的演化行为进行研究,分析了孤子相互作用和啁啾效应对孤子传输行为的影响。推导了准基孤子参量演化的耦合方程组,在小涨落近似(即旋波近似)下求解了准基孤子参量的初值演化。结果表明:(1)考虑孤子相互作用,脉宽演变特征参量b0<0,在此条件下,脉宽近似以指数衰减行为演化,η(z)<η(0);(2)为了限制啁啾c(z)效应,即c(z)按tanh-型初值演化,c(z)<c(0),考虑到孤子间相互作用,其充分条件要求啁啾演变特征参量c1<0,啁啾演变宗量Qc<0,因而演化由于啁啾效应的抑制,保持η(z)<η(0);(3)孤子相互作用随道宽q2(z)和啁啾c2(z)呈指数衰减演变,为使孤子相互间不发生远离,在道宽演变宗量Qq>0条件下,q(z)呈tanh—型演化方式。
【Abstract】 On the basis of the variation principle,in considering the third-order dispersion and loss,and the interaction between optical solitons,it studied the evolution behavior of the quasi-fundamental soliton in twin-core coupling fibers and analyzed the influence of linear chirp and interaction between optical solitons on the evolution process of the quasi-fundamental solitons.The nonlinear coupling system of equations for the quasi-fundamental soliton parameters has been derived.Using the small fluctuation approximation(rotating wave approximation),it found the initial-valued evolution of the optical soliton parameters.The following has been observed:(1) By considering the interaction between optical solitons it has the evolved characteristics parameter of the pulse width b0<0.Under this condition the pulse width evolves in the exponential decay form approximately η(z)<η(0).(2) In order to restrict the linear chirp effect(meaning c(z) evolves by tanh initial-valued form c(z)<c(0))with regard to the interaction between optical solitons we found the evolved characteristics parameter of the linear chirp must be c1<0 and the corresponding evolution argument must be Qc<0,so that the initial-valued evolution of linear chirp is maintained in η(z)<η(0).(3) With the channel width q2(z) and the linear chirp c2(z) the interaction between optical solitons evolves in the exponential decay form.To avoid having further separation between the optical solitons the channel width q(z) must evolve in the tanh-form under the condition where the evolution argument of the channel width must be Qq>0.
【Key words】 twin-core coupling fibers; linear chirp effect; interaction between optical solitons; quasi-fundamental soliton;
- 【文献出处】 南昌大学学报(理科版) ,Journal of Nanchang University(Natural Science) , 编辑部邮箱 ,2009年05期
- 【分类号】O437
- 【下载频次】60