连续波微扰下飞秒光孤子的传输特性研究

给出了描述连续波扰动下飞秒光脉冲在光纤系统中传输的微扰高阶非线性薛定谔方程,通过矩法和微扰理论分析了飞秒亮孤子与连续波相互作用的特性,并利用龙格-库塔积分和分步傅里叶方法进行了数值模拟.结果表明,连续波微扰对光纤孤子通讯系统是十分有害的,在实际通讯过程中应当尽量避免连续波的渗入.     

源啁啾飞秒孤子间相互作用的数值研究

对源啁啾飞秒孤子间的相互作用进行了数值研究，结果表明源啁啾飞秒孤子间的相互作用比无源啁啾时更加严重，会在通信系统中造成更大的误码率，研究结果还表明，不等幅传输法在一定程度上可有效地抑制源啁啾飞秒孤子间的相互作用。     

飞秒光脉冲间相互作用的数值研究

通过数值模拟对飞秒光脉冲间的相互作用进行了研究,结果表明：飞秒孤子的相互作用与常规的皮秒孤子间的相互作用不同。后者在孤子间距较小的情况下,相互作用表现为周期性离合,而前者的相互作用更严重,在初始阶段其相互作用与皮秒孤子一致,而当两孤子合二为一后,一直处于排斥状态,孤子间距传输距离增加而增加,这在通信系统中将造成更大的误码率,传统的不等振幅法在一定程度上可有效地抑制飞秒孤子的相互作用。     

高阶效应影响下飞秒孤子间的相互作用

本文从高阶非线性薛定谔方程（HNLS）出发，给出了其Lax对，同时运用Darborx变换求得了N-孤子解和双孤子解的显式表达式，并且给出了在一定初始条件下谱参数的近拟本片值。最后通过数值模拟对解析结果作了验证，结果表明：高阶效应的联合作用在一定程度上能够减弱飞秒孤子间的相互作用。     

自喇曼散射及二阶色散系数对三阶飞秒孤子的影响

介绍了分步傅里叶数值方法的原理和步骤。通过数值模拟,得到随着自喇曼散射系数的增大,三阶飞秒孤子分裂的两个孤峰,左峰的超前越来越小,而右峰的延迟越来越大。从频谱上看,开始蓝移随着自喇曼散射系数的增大而增大,当增大到一定程度时,两边的频谱会中移。增加二阶色散系数,三阶飞秒孤子的裂化也会得到控制,在频域内表现为频谱中移变窄。     

高阶效应对光纤系统中孤子和艾里脉冲传输特性影响的数值研究

以变系数耦合高阶非线性薛定谔方程为理论模型,采用分步傅里叶方法,讨论了孤子和艾里脉冲在光纤中的传输特性。研究表明三阶色散、自频移和自陡峭效应导致孤子和艾里脉冲所分离出的俘获孤子的中心位置发生偏移,且三阶色散会影响俘获孤子的强度,并讨论了两脉冲的中心位置及强度对艾里脉冲截断系数的依赖关系。     

光纤中飞秒光孤子脉冲传输的高阶因素分析

用数值分析的方法,从脉冲波形和脉冲中心位置的漂移两方面,分析了三阶色散和高阶非线性效应对在正常色散光纤中传输的飞秒光弧子的影响,指出单独的三阶色散或高阶非线性都影响脉冲波形,但二者有一个最佳的抵消值,并且三阶色散是引起脉冲中心位置漂移的主要因素.     

基于辛普森公式的对称分步傅里叶变换孤子串的传输特性

针对孤子串在传输过程中发生周期性碰撞,导致信息串扰的问题,提出采用准确度较高的辛普森公式近似地改进对称分步傅里叶变换,对孤子串的传输特性及传输过程进行数值模拟.实验结果表明,当初始半间距为2.5时,对于孤子对、三孤子、四孤子、五孤子和六孤子而言,只考虑自陡峭效应且自陡峭系数都为0.02时,或者只考虑自频移效应且自频移系数分别为1、1、3、2、1.5时,都能有效地减少孤子间的碰撞,增加孤子碰撞前的独立传输距离,当同时考虑自陡峭效应和自频移效应时,自频移效应占主导作用.     

飞秒激光在PPQ有机高聚物中的传输特性研究

有机高聚物是一种具有大非线性系数和较快非线性响应时间的非线性材料。本文通过对含有二阶，三阶色散效应和非线性响应时间改进的非线性薛定谔方程进行了数值模拟求解，分析了飞秒光脉冲在有机高聚物聚苯基喹恶啉中的传输特性。     

Study of femtosecond soliton dynamics in photonic crystal fiber using the moment method

We investigate the dynamics of femtosecond solitons in photonic crystal fibers (PCFs) by including high-order dispersion terms until to sixth-order in the generalized nonlinear Schrödinger equation, in addition to the nonlinear effects of the self phase modulation, self steepening and Raman scattering. We calculate theoretically the pulse parameters using the moment method. In the case of the fundamental soliton, our computed equations are coupled and difficult to solve analytically. However, we use the finite difference method to calculate numerically pulse parameters using an initially hyperbolic secant pulse at 1550-nm with different peak powers along 10m-PCF. Our numerical results show that the nonlinear regimes allow obtaining pulse compressions and initial pulse amplitudes. Furthermore, we remark a pulse broadening, and weak shifts of the peak power positions and frequencies in the critical and dispersive regimes. The use of an initial chirp provides a better pulse compressions and especially for low input powers. Also, the initial positive chirp reduces the optimal compression position lengths, while the negative one increases them. Therefore, we conclude that our theoretical calculations and numerical simulation results show that the moment method associated with the finite differences method is effective for the study of femtosecond pulse dynamics in PCFs.     

The soliton properties of dipole domains in superlattices

The formation and propagation of dipole domains in superlattices are studied both by the modified discrete drift model and by the nonlinear schroedinger equation,the spatiotemporal distribution of the electric field and electron density are presented.The numerical results are compared with the soliton solutions of the nonlinear Schroedinger equation and analysed.It is shown that the numerical solutions agree with the soliton solutions of the nonlinear Schroedinger equation.The dipole electric-field domains in semiconductor superlattices have the properties of solitons.     

强非局域光晶格中空间孤子的脉动传播

根据强非局域结构中空间孤子的演化方程——非局域非线性薛定谔方程,采用分步傅里叶方法,对一维强非局域光晶格结构中空间孤子的脉动传播进行数值研究.分析了孤子的初始光束能量、非局域程度、光晶格调制强度、光晶格周期以及线性折射率的纵向调制率与空间孤子的脉动传播周期之间的关系,并对影响脉动传播的内在物理机制进行了讨论.同时,还研究了在线性折射率纵向调制情况下强非局域光晶格结构中空间孤子传输的开关行为. 关键词： 非局域非线性薛定谔方程 光晶格 空间孤子 光开关     

拉曼增益对孤子传输特性的影响

利用考虑拉曼增益效应的非线性薛定谔方程, 在忽略光纤损耗的情况下, 采用基于MATLAB的分步傅里叶数值算法, 得出线性算符和非线性算符具体的表达式, 分步作用于光孤子脉冲传输方程, 仿真模拟了光孤子在光纤中传输时的演变. 与不考虑拉曼增益的光孤子在光纤中传输相对比, 探析了拉曼增益对孤子传输特性的影响.拉曼增益会破坏孤子的传输周期, 导致孤子在光纤中传输时快速衰减, 并且影响程度和输入孤子的脉冲峰值功率大小有关, 拉曼增益对基态孤子和高阶孤子的影响也不相同. 关键词： 拉曼增益 孤子 对称分步傅里叶法 非线性薛定谔方程     

Solutions,bifurcations and chaos of the nonlinear Schrodinger equation with weak damping

Using the wave packet theory,we obtain all the solutions of the weakly damped nonlinear Schrodinger equation.These solutions are the static solution,and solutions of planar wave,solitary wave,shock wave and elliptic function wave and chaos.The bifurcation phenomenon exists in both steady and non-steady solutions.The chaotic and periodic motions can coexist in a certain parametric space region.     

Effect of line coding on jitter and initial laser phase on Q value in soliton transmission

In this paper we described how different line coding techniques vary with values of jitter in soliton transmission system. Then the idea of this soliton transmission system is applied for multiuser structure and effects of initial line phase spacing are examined.     

Rotating soliton clusters in nonlocal nonlinear media

From the study of the dynamics for the ring-like soliton clusters, we find that there exists a critical value of the ring radius, dcr, for the stationary rotation of the clusters with respect to the beam centre even in the presence of the relatively strong noise, and that the soliton clusters will not rotate but only undergo periodic collisions in the form of simple harmonic oscillator if the ring radius is large enough. We also show that the direction of the rotation can be opposite to the direction of phase gradient when the relative phase difference is within the domain 0 〈 ｜θ｜ 〈 π, while along the direction of phase gradient when the relative phase difference is within the domain π 〈｜θ｜ 〈 2π     

Conservation laws of the generalized nonlocal nonlinear Schrodinger equation

The derivations of several conservation laws of the generalized nonlocal nonlinear Schr?dinger equation are presented. These invariants are the number of particles, the momentum, the angular momentum and the Hamiltonian in the quantum mechanical analogy. The Lagrangian is also presented.