Compton散射下等离子体交叉相位调制不稳定性增益谱北大核心CSCD

应用多光子非线性Compton散射模型和非线性Schrodinge方程,将入射光和Compton散射光作为形成等离子体交叉相位调制不稳定性的新机制,给出了高阶色散和高阶非线性下等离子体交叉相位调制不稳定性增益谱表达式,并进行了数值模拟.结果表明:与Compton散射前相比,Comnpton散射下的四阶色散使等负色散区的交叉相位调制不稳定性的两个频谱宽度比正色散区的宽,增益谱第二谱区及其峰值更接近零点,即使小功率光波,高频散射光的高阶色散和高阶非线性对交叉相位调制不稳定性的影响依然不可忽略.正五阶非线性使交叉相位调制不稳定性加强,第二谱区增益谱宽和峰值比第一谱区增大得更为明显;负五阶非线性对交叉相位调制不稳定性起抑制作用,五阶非线性系数绝对值越大,抑制作用越明显.散射使等离子体损耗对交叉相位调制不稳定性的影响减弱,随传输距离增加,增益谱宽缓慢减小.这主要是由于散射产生的非线性有效地补偿因传输距离增加而减小非线性的缘故.     

Compton散射下等离子体交叉相位调制不稳定性增益谱

应用多光子非线性Compton散射模型和非线性Schrodinge方程,将入射光和Compton散射光作为形成等离子体交叉相位调制不稳定性的新机制,给出了高阶色散和高阶非线性下等离子体交叉相位调制不稳定性增益谱表达式,并进行了数值模拟.结果表明:与Compton散射前相比,Comnpton散射下的四阶色散使等负色散区的交叉相位调制不稳定性的两个频谱宽度比正色散区的宽,增益谱第二谱区及其峰值更接近零点,即使小功率光波,高频散射光的高阶色散和高阶非线性对交叉相位调制不稳定性的影响依然不可忽略.正五阶非线性使交叉相位调制不稳定性加强,第二谱区增益谱宽和峰值比第一谱区增大得更为明显;负五阶非线性对交叉相位调制不稳定性起抑制作用,五阶非线性系数绝对值越大,抑制作用越明显.散射使等离子体损耗对交叉相位调制不稳定性的影响减弱,随传输距离增加,增益谱宽缓慢减小.这主要是由于散射产生的非线性有效地补偿因传输距离增加而减小非线性的缘故.     

Compton散射对五阶非线性下零色散附近调制不稳定性的影响

应用多光子非线性Compton散射模型和非线性薛定谔方程,研究了Compton散射对五阶非线性零色散附近调制不稳定性的影响.将入射光和Compton散射光作为产生调制不稳定性的机制,分析了光纤损耗、四阶色散和五阶非线性对增益谱的影响.结果表明:散射下的正或负五阶非线性分别使零色散附近的增益谱宽和峰值比散射前增大得更大或...     

四阶色散和五阶非线性对零色散附近交叉相位调制不稳定性的综合影响

从包含高阶色散和高阶非线性的广义非线性薛定谔方程出发,研究了零色散附近交叉相位调制不稳定性增益谱,分析了四阶色散和五阶非线性系数对增益谱的影响.结果表明：当光脉冲工作在零色散附近时,四阶色散对交叉相位调制不稳定性起决定作用,它使增益谱变宽.正（负）五阶非线性使增益谱的谱宽和峰值增大（减小）.随着二阶色散的增加,四阶色散对增益谱的影响越来越小.     

非线性光学 非线性光学概论

O437 2005021100 五次非线性对调制不稳定性的影响=Effect of quintic nonlinearity on modulational instability[刊,中]／任志君(中 国海洋大学光学光电子实验室．山东,青岛(266071)),王 晶…//光子学报．-2004,33(6)．-758-760 从扩展菲线性薛定谔方程出发,重点考虑了五次非线 性对调制不稳定性的影响。与过去的研究结论对比发现,     

五阶非线性下零色散附近的调制不稳定性

在同时考虑光纤损耗、高阶色散以及高阶非线性情况下,从广义非线性薛定谔方程出发,研究了零色散附近的调制不稳定性,分析了四阶色散和五阶非线性对增益谱的影响.结果表明：当光脉冲工作在零色散附近时,四阶色散对调制不稳定性起决定作用,它使反常色散区的增益谱变宽.在光纤正常色散区,正（负）五阶非线性使增益谱的谱宽和峰值增大（减小）;但在反常色散区,五阶非线性仅改变增益谱的峰值,几乎不影响谱宽.     

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     

具有非线性耦合的锯齿型光波导阵列中的 调制不稳定性和亮离散孤子

借助线性稳定性分析方法,推导出包含非线性耦合作用的锯齿型光波导阵列中平面波的离散调制稳定性增长率的解析表达式,并针对不同次近邻耦合系数分析了非线性耦合作用对调制不稳定性区域的影响.结果表明,改变非线性耦合系数的值会明显影响调制不稳定区域的形状.根据调制稳定性分析结果,预测了亮离散孤子可能存在的参数区域.然后,利用一种准离散的多重尺度方法得到了此锯齿型光波导阵列中亮离散孤子的解析解,并分析了它们的存在条件,结果与离散调制不稳定性分析预测的存在条件基本一致.     

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     

光子晶体光纤中调制不稳定现象与超连续光谱的产生

研究了光子晶体光纤中调制不稳定性效应.从非线性薛定谔方程出发，计算和分析了光子晶体光纤中反常色散区以及正常色散区内的调制不稳定性现象，详细讨论了超短脉冲的脉宽、峰值功率、高阶色散和高阶非线性效应（如脉冲内喇曼散射、自陡峭效应）对调制不稳定性产生的影响.结果表明：二阶色散对调制不稳定性的影响要远大于三阶色散，同时也发现随着初始脉冲宽度的减小，调制不稳定性旁瓣增大但是强度有所降低.另外还发现高阶非线效应如自陡峭和喇曼效应会在不同程度上抑制调制不稳定性.     

Modulational instability in the cubic-quintic nonlinear Schrödinger equation through the variational approach

The dynamics of nonlinear pulse propagation in an average dispersion-managed soliton system is governed by a constant coefficient nonlinear Schrödinger (NLS) equation. For a special set of parameters the constant coefficient NLS equation is completely integrable. The same constant coefficient NLS equation is also applicable to optical fiber systems with phase modulation or pulse compression. We also investigate MI arising in the cubic-quintic nonlinear Schrödinger equation for ultrashort pulse propagation. Within this framework, we derive ordinary differential equations (ODE’s) for the time evolution of the amplitude and phase of modulation perturbations. Analyzing the ensuing ODE’s, we derive the classical modulational instability criterion and identify it numerically. We show that the quintic nonlinearity can be essential for the stability of solutions. The evolutions of modulational instability are numerically investigated and the effects of the quintic nonlinearity on the evolutions are examined. Numerical simulations demonstrate the validity of the analytical predictions.     

Modulational instability and discrete breathers in the discrete cubic-quintic nonlinear Schrödinger equation

We investigate the properties of modulational instability and discrete breathers in the cubic-quintic discrete nonlinear Schrödinger equation. We analyze the regions of modulational instabilities of nonlinear plane waves. Using the Page approach [J.B. Page, Phys. Rev. B 41 (1990) 7835], we derive the conditions for the existence and stability for bright discrete breather solutions. It is shown that the quintic nonlinearity brings qualitatively new conditions for stability of strongly localized modes. The application to the existence of localized modes in the Bose-Einstein condensate (BEC) with three-body interactions in an optical lattice is discussed. The numerical simulations agree with the analytical predictions.     

具有饱和非线性的非克尔光纤的调制不稳定性

理论上分析了当存在高阶色散时具有饱和非线性的非克尔光纤的调制不稳定性.三阶色散对调制不稳定性没有影响,四阶色散效应导致在正常和反常色散区出现了新的调制不稳定区.并且对比了不同他和参数的增益谱,在新的调制不稳定区,发现同样有一个临界调制频率对应两个入射功率的现象.     

Modulational instability in one-dimensional saturable waveguide arrays: Comparison with Kerr nonlinearity

Discrete modulational instability within the first band of uniform one-dimensional waveguide arrays possessing a saturable self-defocusing nonlinearity is investigated in detail within the coupled mode approach. Explicit analytical results for both the threshold and the maximal gain of instability are compared with the corresponding data from waveguide arrays exhibiting Kerr nonlinearity. We find that saturation bounds the interval of existence of discrete modulational instability, stabilizes the frequency region of perturbations around ±π/2 and decreases both gain and critical spatial frequency of perturbations.     

Modulational instability in systems with integrating nonlinearity

A new type of modulational instability for coherent as well as partially coherent light in systems with integrating nonlinearity caused by an irreversible process is investigated both experimentally and theoretically. In such systems plane waves never reach the stationary limit and exhibit a nontrivial time dependence resulting in new features of the modulational instability. For example, the modulational frequency of the nonexponentially increasing perturbation with maximum gain decreases while the wave is propagating. The threshold for vanishing modulational instability due to a finite degree of spatial coherence depends only on system parameters and not on the light intensity.     

Modulational instability of incoherently coupled beams in azobenzene-containing polymer with photoisomerization nonlinearity

The modulational instability of two incoherently coupled beams in azobenzene-containing polymer with photoisomerization nonlinearity is investigated analytically and numerically. Our results show that as a precursor to spatial optical soliton formation, modulational instability can be adjusted and controlled by the wavelength combinations of the signal and background beams. We also discuss the dependences of strength of modulational instability on intensities of two signal beams and background beam. These findings make it possible to predict the formation of incoherently coupled soliton pairs in azobenzene-containing polymer.     

Ultraslow solitons due to large quintic nonlinearity in coupled quantum well structures driven by two control laser beams

In this paper, we have shown the existence of large amounts of quintic nonlinearity in asymmetric three-coupled quantum wells, which arise due to a probe pulse and two controlling laser beams. The possibilities of generation and propagation of ultraslow bright optical solitons in these systems have been examined in situations of both Kerr and quintic nonlinearities. We have also demonstrated numerically that these solitons are stable. The modulation instability of a continuous or quasi-continuous wave probe beam has been also investigated and the role of quintic nonlinearity in suppressing this instability has been addressed.     

Wave Trains Generation in a Delayed Nonlinear Response of Bose-Einstein Condensates with Three-Body Interactions

We investigate the modulational instability of matter-wave condensates in a modified Gross-Pitaevskii equation which takes into account effects of the three-body interaction. This three-body interaction consists of a quintic term and an additional one representing the delayed nonlinear response of condensates which are trapped both in an attractive and a repulsive harmonic potentials. Our theoretical study uses a modified lens-type transformation and we obtain a modulational instability criterion, and an explicit growth rate. We show that the presence of the three-body interaction destabilizes the condensate, and enhances the appearance of instability in the condensate. Numerical experiments agree well with analytical predictions. Furthermore, our numerical simulations show that the three-body interaction modifies the symmetry of the trail of soliton chains created. The expulsive potential enhances the instability, while the attractive potential appears to soften the instability.     

Coupled modulational instability of copropagating spin waves in magnetic thin films

This letter reports the first results on the coupled modulational instability of copropagating spin waves in a magnetic film. Strong instability was observed for the two waves with either attractive or repulsive nonlinearity. If the two waves have attractive nonlinearity, the instability leads to the formation of bright solitons. If the two waves have repulsive nonlinearity, the process results in the formation of black solitons. The instability was also observed for the two waves in separated attractive-repulsive nonlinearity regimes.