皮秒类提升脉冲串的产生与传输

通过函数和变量变换给出变系数非线性薛定谔方程的一个新的精确解,它可以用来描述非均匀光纤中的调制不稳定过程.基于这个精确解我们给出一类新的类提升脉冲串,并讨论该脉冲串的传输特性.结果表明,当类提升脉冲串能量大于某一阈值时类提升脉冲串可以稳定传输.同时我们还比较指数控制系统和理想系统中类提升脉冲串的传输,结果表明选择合适的控制系统可以抑制脉冲间的相互作用,这对增加光通信的传输比特率是非常有益的.     

自锁模钛宝石激光器中的光谱调制和双脉冲运转

 在自锁模钛宝石激光器中，除可形成传统的单脉冲外，在适当的条件下，还可产生双脉冲。本文运用广义脉宽公式单独计及棱镜系统的色散，用分步富氏法数值求解非线性薛定谔方程，在脉宽自洽的判据下，模拟了双脉冲的形成过程。结果表明，小量的净负色散配合强的啁啾是形成光谱调制的条件。双脉冲只产生在有限的参数范围内且极易被破坏。     

超强线极化激光在e-p等离子体中传播的成丝不稳定性

基于超强线极化激光在正负电子对(e-p)等离子体中的传播方程,讨论了相互作用过程中的成丝不稳定性。得到了电磁波的非线性色散关系和不稳定性增长率,并讨论了传播过程中激光强度和等离子体温度对成丝不稳定性的影响。结果表明,成丝不稳定性的强弱主要由相互作用的非线性效应与受有质动力作用后等离子体密度的减小之间的竞争所决定。     

非均匀展宽对超短激光脉冲传播特性的影响

用建立的"预报校正-四阶龙格库塔"数值算法研究了非均匀展宽二能级体系中超短激光脉冲的传播特性。计算结果表明,非均匀展宽线型的线宽对光脉冲传播会产生调制作用。当线宽大于脉冲的频谱宽度时,脉冲面积演化与面积定理相符且脉冲传播平稳;但随着线宽的减小,脉冲面积演化会越来越偏离面积定理,脉冲传播不再平稳并出现"拖尾"振荡。脉冲主峰的峰值和脉冲的传播速度也受到线宽的影响。     

高相干度超连续谱产生的理论研究

超连续谱的相干性直接影响到很多光学测量器件的分辨率及准确性, 如何获得高相干度的超连续谱是当前非线性光学领域的研究热点之一. 本文首先分析超连续谱产生的机理, 认为调制不稳现象是降低超连续谱相干性的重要因素. 因此抑制调制不稳定性, 利用其他非线性效应(如自相位调制)是得到高相干性超连续谱的有效方法. 最后设计了一种全波段正常色散光子晶体光纤,仿真结果表明, 在脉宽400 fs无啁啾高斯脉冲抽运, 50 cm长该光子晶体光纤的条件下, 产生的超连续谱具有在相对功率大于-80 dB的全波段高度相干的特性.     

Characteristics of Wavelength Tunable Femtosecond Soliton Pulse Generation Using Femtosecond Pump Laser and Polarization Maintaining Fiber

We have investigated both experimentally and numerically the characteristics of wavelength tunable femtosecond soliton pulse generation using a pulse width variable fiber laser and two different types of polarization maintaining fibers. The generated soliton shows the feature of the pulsewidth becoming almost constant at - 250 fs under any conditions of the pump pulse for 220m fiber. High conversion efficiency from pump pulse to a generated soliton pulse accounting for as much as 73% can be obtained. This efficiency decreases with increase in the input power or wavelength shift. A superior conversion efficiency and broad wavelength shift can be obtained by using a more shortened pump pulse. In the numerical calculations, it is predicted that under a condition of constant power of pump pulse, the maximum wavelength shift is achieved when the soliton number N is -1.4. The difference of mode field diameter and the group velocity dispersion (GVD) coefficient β₂ affect the wavelength shift and conversion efficiency. Using the fiber with small mode field diameter and small absolute value of GVD coefficient β₂, a high conversion efficiency and large wavelength shift can be obtained.     

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.     

色散渐变光纤中相移控制研究

相移控制能有效的避免孤子间的相互作用.通过利用符号计算和双线性方法,本文解析研究用于描述色散渐变光纤传输特点的非线性Schr?dinger方程,并得到该方程的双孤子解.基于所得到的双孤子解,通过研究发现,当色散渐变光纤中的群速度色散呈Gauss型变化时,可以利用该类光纤实现孤子相移控制,从而避免孤子相互作用,提高光通信系统中信号传输质量.此外,本文还将讨论色散渐变光纤中各类参数对相移控制的影响.本文结论还有助于逻辑门和全光开光的研究.     

广义非线性薛定谔方程描述的波坍缩及其演变

介绍了广义非线性薛定谔方程, 并且运用分步傅里叶方法进行了数值求解. 在外部势场一定的情况下, 给定系统一个小的初始扰动, 讨论了广义非线性薛定谔方程中复系数p, q 对波场演变过程的影响. 通过数值研究发现波场会相继出现调制不稳定性、波坍缩、逆级联以及整个空间的湍流现象. 而当改变非线性频移系数的量级时, 数值研究发现在波坍缩之后出现了逆级联, 最终系统的能量主要凝聚在3个不同波矢终端的附近区域.     

Ultrafast Time-to-Two-Dimensional-Space Conversion System Using SHG Crystal

We propose an ultrafast optical time-to-two-dimensional (2-D) space conversion system using a crystal of β-BaB₂O₄. The proposed system can optically retrieve a 2-D spatial distribution (an image signal) from an ultra-short laser pulse modulated by an image. The fundamentals are the time-to-space transform and the spatial time-frequency transform. Optical time gating using a nonlinear optical crystal is applied for the time-to-space transform. The experimental system can convert modulated temporal signals into 2-D spatial distribution at the bit rate of 8 Tbit/s.     

光孤子对的振幅比与相位差对传输的影响

利用分步傅里叶变换法分别求解含三阶色散效应和不考虑三阶色散情况下的光孤子非线性薛定谔（NLS）方程,通过数值求解发现三阶色散效应会使孤子对脉冲发生单边振荡,并在振荡侧逐级产生次脉冲。讨论孤子对的两束孤子脉冲之间的振幅比与相位差对传输的影响,发现在不考虑三阶色散的情况下,振幅比与相位差均对孤子对的传输有显著影响,在考虑三阶色散效应时,只有相位差对孤子对的传输产生影响,并可以导致脉冲能量转移。     

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。     

高阶群速度色散引起的高斯超短脉冲宽度的展宽和形变

基于动量守恒和光参变过程中的三波耦合波方程,和负单轴非线性光学晶体CsLiB6O10的色散方程,研究了在光参变效应中超短激光脉冲由于群速度色散引起的展宽和形变。数值模拟显示,在超短脉冲波形为双曲正割形和无啁啾调制时,高阶群速度色散引起的超短脉冲为50fs时,晶体长度为10mm,紫外光213nm作为基波入射时的脉冲展宽是波长为532nm绿光在同等条件下的1.6倍。脉冲展宽程度与入射波长和晶体长度有关,波长越短和晶体长度越长则脉冲展宽和波形变化越严重,高阶色散引起的超短高斯脉冲展宽,将破坏其波形对称性并引起旁瓣现象。     

Generation of ultrafast pulse via combined effects of stimulated Raman scattering and non-degenerate two-photon absorption in silicon nanophotonic chip

A project of ultrafast pulse generation has been presented and demonstrated by utilizing the combined nonlinear effects of stimulated Raman scattering (SRS) and non-degenerate two-photon absorption (TPA) based on silicon nanophotonic chip, in which a continuous wave (CW) and an ultrafast dark pulse are co-propagating in the silicon chip so that the CW will be modulated inversely by the dark pulse during the propagation. As a result, an ultrafast bright pulse is achieved using the technique. Simulation results show that an ultrafast pulse with a pulsewidth (full-width at half-maximum (FWHM)) of about 50 fs is generated at the end of a 5-mm long silicon chip, when the initial conditions, including an input maximum of 0.5 W and FWHM of ∼176 fs for dark pulse, and CW with power of 5 W, are chosen.      

高精度有限差分法模拟Kelvin-Helmholtz不稳定性

 WENO有限差分格式有较高的分辨精度,适合复杂流场的计算,在国际上被广泛采用。本文利用WENO有限差分格式求解2维守恒型欧拉方程,实现了对无粘流体中Kelvin-Helmholtz不稳定性的数值模拟。速度剪切方向采用周期边界条件;扰动增长方向采用嵌边出流边界条件,一个不稳定波长分布64个网格。数值模拟给出的扰动幅值线性增长率与线性稳定性分析给出的结果很好符合,显示了该格式的有效性和精度。数值模拟给出了清晰的密度等值线,表明该方法还具有较好的界面变形捕捉能力。     

Dynamics of the plane and solitary waves in a Noguchi network:Effects of the nonlinear quadratic dispersion

We consider a modified Noguchi network and study the impact of the nonlinear quadratic dispersion on the dynamics of modulated waves. In the semi-discrete limit, we show that the dynamics of these waves are governed by a nonlinear cubic Schrodinger equation. From the graphical analysis of the coefficients of this equation, it appears that the nonlinear quadratic dispersion counterbalances the effects of the linear dispersion in the frequency domain. Moreover, we establish that this nonlinear quadratic dispersion provokes the disappearance of some regions of modulational instability in the dispersion curve compared to the results earlier obtained by Pelap et al.(Phys. Rev. E 91 022925(2015)). We also find that the nonlinear quadratic dispersion limit considerably affects the nature, stability, and characteristics of the waves which propagate through the system. Furthermore, the results of the numerical simulations performed on the exact equations describing the network are found to be in good agreement with the analytical predictions.     

高功率光子晶体光纤放大器内超短脉冲的放大传输特性

由速率方程和功率传输方程得到信号脉冲平均功率和增益系数随脉冲传输距离的变化关系.利用Ginzburg-landau方程,在信号脉冲功率的不断增强和增益系数的不断变化的情况下,研究超短脉冲的传输演化特性,发现信号脉冲平均功率、能量和增益系数等参量受到色散和非线性效应的影响相对较小,而信号脉冲的峰值功率、时域和频域特性则易受到色散和非线性效应的影响.探讨了在非线性作用下,脉冲分裂和展宽等所导致的脉宽不稳定性对传输特性的影响,表明研究脉冲传输问题时,引入脉宽不稳定性有利于提高数值模拟准确度.     

Generation and propagation of subpicosecond pulse train

Higher-order nonlinear Schr\"{o}dinger equation with the Hirota constraint conditions is considered, and an analytic solution, which can describe the modulational instability process, is presented. Based on the solution, a new pulse train without continuous wave (CW) background is generated in quadratures and the propagation of the pulse train is discussed in detail by simulating numerically. The results show that, unlike the propagation of the picosecond pulse train, under the effects of the higher-order terms, the pulse train cannot propagate along the fibre when the energy is very high; however, for some medium energy the pulse train can stably propagate. We also investigate the stability of the pulse train against violation of the Hirota conditions, and the results show that the pulse train can still propagate stably when the Hirota conditions are broken.     

色散磁导率对异向介质中的调制不稳定性的影响

基于Drude模型研究了异向介质的色散磁导率对调制不稳定性的影响. 结果表明,在反常色散情形,赝五阶非线性在异向介质的负折射区中增大了调制频谱的范围及增益值,这与常规正折射介质中出现的现象正好相反;自陡峭效应在异向介质中有可能为负值,但无论正负,也无论在正折射区还是负折射区,它都抑制调制不稳定性的产生;二阶非线性色散效应在正、负折射区中分别促进和抑制调制不稳定性的产生. 在正常色散情形,由于二阶非线性色散效应的作用,使本来在常规正折射介质中不可能出现的调制不稳定性现象也能出现,这一特性为在正常色散区形成孤 关键词： 异向介质 调制不稳定性 色散磁导率 二阶非线性色散     

准二维光学系统的调制不稳定性分析

本文利用时间相关的变分法对准二维的非线性薛定谔方程平面波的调制不稳定性进行了研究。在拉格朗日变分的框架下推导出相与振幅的演化方程,进而对线性化扰动方程的解进行了数值模拟,直观地展示了平面波的调制不稳定性。最后通过对能量方程有效势的分析,严格地得到了平面波解调制不稳定的判断准则。