【作者】 张健；

【导师】 肖燕；

【作者基本信息】 山西大学 ， 电子与通信工程， 2017， 硕士

【摘要】 本文以综合考虑高阶效应的变系数耦合高阶非线性薛定谔方程为基本的理论模型,探讨了脉冲在非均匀光纤中的传输,探析三阶色散以及自陡峭效应对拉曼脉冲产生的影响,并且讨论了泵浦脉冲和拉曼脉冲的频谱特性,进一步通过拟解法求出理论模型的精确解,并解析和数值模拟研究了具有精确孤子解形式的光孤子脉冲在实际光纤系统中的传输特性,还探讨了各种扰动形式对光脉冲传输的影响,最后研究了两个相邻的具有精确孤波解脉冲之间的相互作用。本文的研究主要包含以下内容:(1)具体介绍了光纤通信的发展历史,重点分析了光孤子通信的研究现状和技术难点,还介绍了光孤子通信系统中不可忽视的高阶效应的研究意义。(2)考虑到光纤的实际传输,我们将适应范畴更广、考虑更多高阶效应的变系数耦合高阶非线性薛定谔方程作为研究对象。采用分步傅里叶数值算法,仿真模拟了光脉冲在光纤中的传输,探析三阶色散效应以及自陡峭效应对拉曼脉冲产生的影响。并且得到了泵浦脉冲和拉曼脉冲的频谱图,讨论其一些频谱特性。(3)从含色散增益和非线性增益的变系数耦合高阶非线性薛定谔方程出发,我们得到了该方程的精确孤子解析解,并研究超短脉冲形式的精确孤子解脉冲的传输特性。且在脉冲入射端加入小幅扰动和随机噪声,研究扰动对脉冲稳定性的影响。(4)最后探讨了两个相邻孤波之间的相互作用,研究初始脉冲间距不同对两相邻孤波之间的相互作用产生的影响。更多还原

【Abstract】 In this paper,the variable coefficient coupled higher-order nonlinear Schr?dinger equation with higher-order effects is used as the basic theoretical model,and the transmission of the pulse in the non-uniform fiber is discussed.The influence of the third-order effect and the self-steepening effect on the Raman pulse generation is discussed.And the spectral characteristics of the pump pulse and the Raman pulse are discussed.The exact solution of the theoretical model is obtained by using the ansatz method.And the propagation characteristics of optical soliton pulses in the actual optical fiber system are studied.The propagation of optical pulses in various disturbances is also discussed.Finally,the interaction between two adjacent solitons based on exact soliton solutions form is studied.The research of this paper mainly includes the following contents:(1)The development history of optical fiber communication is reviewed in detail.The research status and technical difficulties of optical soliton communication are analyzed emphatically.The significance of higher-order effect which can’t be ignored in optical soliton communication system is also introduced.(2)Considering the actual transmission of fiber,we choose the variable coefficient coupled higher-order nonlinear Schr?dinger equation as our research object.By using the split-step Fourier method,we simulate the evolution of soliton in optical fiber,and investigated the impact of higher-order nonlinear and Self-steepening effect on soliton generation.And we obtaine the pump pulse and Raman pulse spectrum to discuss some of its spectral characteristics.(3)Starting from the variable coefficient coupled higher-order nonlinear Schr?dinger equation with dispersion gain and nonlinear gain,we deduce the solution of the exact soliton solution,and then study the transmission characteristics of the exact soliton solution.And the small perturbation and random noise are added to the pulse to study the effect of disturbance on the pulse stability.(4)We also explore the interaction between two adjacent solitary waves.Through a large number of numerical simulations,we study the interaction between two adjacent solitons under the initial different separation distance.更多还原