高阶非线性效应对飞秒脉冲激光器的影响

本文以分段计算法用高阶非线性薛定谔方程讨论了激光器的传输过程,考虑了有三阶色散、高阶非线性效应-自陡峭效应存在时,激光器中飞秒脉冲的传输特性,给出了棱镜对的分离距离与激光器脉宽的关系,并用数值计算法模拟了脉冲在激光器中的传输过程.     

利用等离子体非线性系数实现超强脉冲的压缩

超短脉冲压缩技术在强场物理研究中有非常重要的作用,但由于强场电离现象在惰性气体自相位调制脉冲压缩技术中限制了脉冲的能量。Tempea等人提出可以采用等离子体非线性系数对脉冲进行压缩,本文在考虑毛细管内表面电离的情况下,讨论能量为10mJ左右,脉宽为50fs的脉冲的压缩问题,发现可以将脉冲压缩至5fs左右。计算表明频谱展宽可以在气体密度很低的情况下进行,这样半可以减小电子对脉冲传输的影响。同时,由于毛细管内表面也处于电及状态,从而使脉冲能量不会受到电离阈值的.限制。     

非均匀光纤系统中高阶效应对拉曼脉冲产生的影响

从含三阶效应和自陡峭效应的变系数耦合非线性薛定谔方程(CNLS)出发,采用分步傅里叶数值算法,仿真模拟了光孤子在光纤中传输时的演变,探析三阶效应以及自陡峭效应对拉曼脉冲产生的影响。结果表明自陡峭效应改变了孤子的传输特性,破坏孤子的传输周期,导致孤子随着传输距离的增加而衰减,使得大部分能量从泵浦脉冲前沿转移到拉曼脉冲,使拉曼脉冲变为孤子脉冲在光纤中传输。     

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。     

高阶效应对自相似抛物线脉冲相互作用的影响

讨论高阶效应对自相似抛物线脉冲传输中相互作用的影响.数值研究结果证明高阶效应使得自相似抛物线脉冲形状畸变非常严重,并加剧脉冲间的相互作用.我们分析了不同的高阶效应对脉冲间相互作用的具体影响.而且我们可通过幅度调制和脉冲压缩技术,获得较高质量的自相似抛物线脉冲串传输.这些结果对进一步研究高质量的自相似抛物线脉冲在高功率超短脉冲光纤放大器、激光器和传输系统中的应用有重要的意义.     

高阶效应对超短艾里-高斯脉冲相互作用的影响

本文运用分步傅里叶变换,对满足高阶耦合非线性薛定谔方程的超短艾里脉冲与超短高斯脉冲,利用MATLAB数值模拟了在高阶效应下两脉冲相互作用后的演化过程以及时域上的强度变化。结果表明：负三阶色散效应使超短脉冲相互作用能传输更远距离;正三阶色散效应会减慢超短脉冲相互作用的传输。自陡峭效应通过孤子分裂现象的形式使超短脉冲相互作用产生时域位移,内拉曼效应可以将超短脉冲相互作用的能量由前沿处转移到后沿处。     

高阶效应对超短艾里-高斯脉冲相互作用的影响

本文运用分步傅里叶变换,对满足高阶耦合非线性薛定谔方程的超短艾里脉冲与超短高斯脉冲,利用MATLAB数值模拟了在高阶效应下两脉冲相互作用后的演化过程以及时域上的强度变化.获得了负三阶色散效应使超短脉冲相互作用能传输更远距离;正三阶色散效应会减慢超短脉冲相互作用的传输.自陡峭效应通过孤子分裂现象的形式使超短脉冲相互作用产生时域位移.内拉曼效应可以将超短脉冲相互作用的能量由前沿处转移到后沿处.     

高阶效应对超短艾里-高斯脉冲相互作用的影响

本文运用分步傅里叶变换,对满足高阶耦合非线性薛定谔方程的超短艾里脉冲与超短高斯脉冲,利用MATLAB数值模拟了在高阶效应下两脉冲相互作用后的演化过程以及时域上的强度变化。结果表明：负三阶色散效应使超短脉冲相互作用能传输更远距离;正三阶色散效应会减慢超短脉冲相互作用的传输。自陡峭效应通过孤子分裂现象的形式使超短脉冲相互作用产生时域位移,内拉曼效应可以将超短脉冲相互作用的能量由前沿处转移到后沿处。     

色散缓变光纤中飞秒高阶孤子脉冲的增强压缩

提出了一种利用孤子绝热放大效应与高阶孤子脉冲压缩效应相结合来压缩飞秒高阶孤子的新方法.通过数值模拟方法证明,采用三阶色散为负的色散缓变光纤压缩高阶孤子,可利用喇曼散射效应与负三阶色散的相互作用,消除正三阶色散对光脉冲压缩产生的不利影响,增加压缩比,提高压缩后光脉冲的质量.研究表明,在色散缓变参量一定的情况下,孤子阶数越高,所需最佳光纤长度越短、光脉冲的压缩比越大;对于相同功率的孤子光脉冲,光脉冲的压缩比随着色散缓变参量的增大而增大;无论是孤子脉冲还是高斯脉冲都适合于色散缓变光纤中的高阶孤子脉冲压缩.     

非线性色散渐减光纤中高峰值脉冲的激发和传输

本文基于变系数的非线性薛定谔方程,数值地讨论高峰值脉冲在色散渐减光纤中的激发和传输。首先,基于变系数非线性薛定谔方程的Peregrine孤子解,解析和数值地讨论精确的Peregrine孤子在色散渐减光纤中的传输特性。其次,通过输入不同的平面波背景上的局域脉冲,研究高峰值脉冲在非线性色散渐减光纤中的激发和传输。结果显示Peregrine孤子在色散渐减光纤中传输时,会产生一个空间和时间都局域化的高峰值单脉冲,并且当啁啾为负时,脉冲的幅值增加,脉宽被压缩。若光纤系统存在增益,脉冲的幅值也会增加。由于非线性光纤中的调制不稳定性过程,不同平面波背景上的小局部扰动都可激发出高峰值脉冲,除了峰值和宽度略有不同外,激发脉冲的形状几乎相同。     

自陡峭和自频移效应对有限背景解的影响

基于自聚焦的非线性薛定谔方程,研究了自陡峭效应和自频移效应对Peregrine怪波(PS)、Akhmediev呼吸子(AB)和Kuznetsov-Ma孤子(KMS)传输特性的影响。数值模拟结果表明:这两种效应使三种有限背景解分裂加快,相邻最大压缩脉冲间的距离减小,脉冲中心发生偏移,且参数越大,分裂得越早,脉冲中心偏移量越大。     

拉曼增益对三类有限背景解传输特性的影响

基于含有拉曼增益效应的自聚焦非线性薛定谔方程,数值研究了拉曼增益分别对Peregrine怪波(PS)、Akhmediev呼吸子(AB)和Kuznetsov-Ma孤子(KMS)传输特性的影响。结果表明:拉曼增益效应会使怪波、AB和KMS在时间方向上发生分裂,且拉曼增益系数越大,分裂速度越快;拉曼增益效应还会使三种孤子解传输距离方向上的峰值功率增大,相邻两最大压缩脉冲之间的距离缩短,且拉曼增益系数越大,最大峰值功率越大,相邻距离越小。     

Rogue Waves of the Higher-Order Dispersive Nonlinear Schrödinger Equation

In this paper,the rogue waves of the higher-order dispersive nonlinear Schrödinger (HDNLS) equation are investigated,which describes the propagation of ultrashort optical pulse in optical fibers.The rogue wave solutions of HDNLS equation are constructed by using the modified Darboux transformation method.The explicit first and second-order rogue wave solutions are presented under the plane wave seeding solution background.The nonlinear dynamics and properties of rogue waves are discussed by analyzing the obtained rational solutions.The influence of little perturbation ε on the rogue waves is discussed with the help of graphical simulation.     

Dynamics of Controllable Optical Rogue Waves in Presence of Quintic Nonlinearity and Nonlinear Dispersion Effects

We analytically study optical rogue waves in the presence of quintic nonlinearity and nonlinear dispersion effects. Dynamics of the rogue waves are investigated through the precise expressions of their peak, valley, trajectory, and width. Based on this, the properties of a few specific rogue waves are demonstrated in detail, and the dynamical evolution of rogue waves can be well controlled under different nonlinearity management. It shows that the peak reaches its maximum and the valley becomes minimized when the width evolves to the minimum value. Moreover, we find that the higher-order effects here achieve balance due to the integrability, and they only influence the rogue waves' trajectory.     

Higher-Order Rogue Wave Pairs in the Coupled Cubic-Quintic Nonlinear Schrödinger Equations

We study some novel patterns of rogue wave in the coupled cubic-quintic nonlinear Schrödinger equations. Utilizing the generalized Darboux transformation, the higher-order rogue wave pairs of the coupled system are generated. Especially, the first-and second-order rogue wave pairs are discussed in detail. It demonstrates that two classical fundamental rogue waves can be emerged from the first-order case and four or six classical fundamental rogue waves from the second-order case. In the second-order rogue wave solution, the distribution structures can be in triangle, quadrilateral and ring shapes by fixing appropriate values of the free parameters. In contrast to single-component systems, there are always more abundant rogue wave structures in multi-component ones. It is shown that the two higher-order nonlinear coefficients ρ₁ and ρ₂ make some skews of the rogue waves.     

Propagation of bright femtosecond pulses in a nonlinear optical fibre with the third- and fourth-order dispersions

We solve the generalized nonlinear Schr\"{o}dinger equation describing the propagation of femtosecond pulses in a nonlinear optical fibre with higher-order dispersions by using the direct approach to perturbation for bright solitons, and discuss the combined effects of the third- and fourth-order dispersions on velocity, temporal intensity distribution and peak intensity of femtosecond pulses. It is noticeable that the combined effects of the third- and fourth-order dispersions on an initial propagated soliton can partially compensate each other, which seems to be significant for the stability controlling of soliton propagation features.     

Propagation of Solitary Pulses in Optical Fibers with Both Self-Steepening and Quintic Nonlinear Effects

Pulse dynamics and stability in optical fibers in the presence of both self-steepening and quintic nonlinear effects are analyzed. Propagating profiles of the quintic derivative nonlinear Schrodinger model are isolated via two invariants of motion. The resulting canonical equation admits exact periodic propagating patterns in terms of the Jacobi elliptic functions, and solitary pulses are recovered in the long wave limit, i.e. degenerate cases of periodic profiles where each pulse is widely separated from the adjacent ones. Two families of such exact wave profiles are identified. The first one has a precise constraint concerning the magnitude of self-steepening and quintic nonlinear effects, while the second one permits more freedom. The reduction to the well established temporal soliton in an optical fiber waveguide in the absence of self-steepening and quintic nonlinearity is demonstrated explicitly. Numerical simulations are performed to identify regimes of parameter values where robust propagation patterns exist.