三阶非线性色散异向介质中的调制不稳定性

基于异向介质中包一到三阶非线性色散的非归一化扩展非线性传输方程,利用德鲁德电磁模型和线性稳定性分析法,导出了调制不稳定的色散关系和增益谱.以实际单位形式计算和讨论了传输方程系数、正负折射区及自聚焦和自散焦情况下调制不稳定增益谱随归一化角频率的变化关系.结果表明：随归一化频率增加,负折射区在自聚焦时的增益谱谱宽和谱峰都先增加再减为零;负折射区在自散焦时调制不稳定只出现在禁带附近,且谱宽和谱峰都单调减小.正折射区调制不稳定只出现在自聚焦情形,且谱宽一直增加,而谱峰先减小后增加.总体而言,三阶非线性色散的存在不利于调制不稳定的产生.     

拉曼效应对负折射介质中超短脉冲传输的影响

通过数值法对包含拉曼延迟响应的(3+1)维非线性薛定谔方程进行求解,研究了超短脉冲激光在负折射介质中传输时拉曼效应对自聚焦传输特性的影响,着重分析其不同与常规介质的反常传输现象.结果表明:由于负的折射率影响,拉曼效应将导致超短脉冲在自聚焦过程中频谱发生蓝移现象,这与常规介质对应情形相反;而它对负折射介质中超短脉冲的自聚焦特性的影响与常规介质相同,即拉曼效应将诱导自聚焦效应首先发生在脉冲的前沿.本文研究工作对将来利用负折射介质来操控超短光脉冲串产生、自聚焦等许多实际应用领域研究具有重要的指导意义.     

饱和非线性正折射异向介质中的调制不稳定性

直接从异向介质中包含饱和非线性、自陡峭和二阶非线性色散效应的非线性扩展传输方程出发,采用线性稳定性分析法,导出了调制不稳定性的色散关系、不稳定条件、无量纲的临界扰动频率和增益谱。计算和讨论了异向介质正折射区无量纲的增益谱随归一化角频率和入射功率密度的变化关系。结果表明,在异向介质正折射区,随归一化角频率和入射功率密度的不同,增益谱将会出现扰动频率大于零、扰动频率大于某个非零临界值、扰动频率大于零而小于某个非零临界值3种形式。在归一化角频率较小时,调制不稳定性可能出现阈值入射功率密度;且在较小的入射功率密度时,调制不稳定性只能出现在大于某个临界频率时。     

负折射介质中啁啾暗孤立波的传输特性研究

本文求解了描述负折射介质中超短脉冲传输的归一化薛定谔方程,发现负折射介质中可以存在一种非线性啁啾暗孤波.结合负折射介质的特性,详细研究了该啁啾暗孤波的形成条件和传输特性.结果发现,与普通介质中的暗孤波不同,该啁啾暗孤波只能存在于介质的反常色散区,且孤被的速度影响其啁啾和幅度.另外,我们数值研究了该啁啾暗孤波在诸如频率偏移、功率波动和噪声干扰下的稳定性,结果表明,这种啁啾暗孤波在有限的扰动下具有很好的稳定性.     

负折射介质中可控自陡峭效应对孤子传输的影响

研究了具有非线性极化的负折射介质中孤子脉冲的传输特性,着重分析了在常规非线性传输模型中不曾出现的由负折射介质色散磁导率导致的可控自陡峭效应对孤子传输的影响.结果表明,与正自陡峭效应一样,负自陡峭效应同样造成孤子脉冲的非对称、中心偏移和高阶孤子衰减,但脉冲偏移的方向与正自陡峭效应情形相反.此外,利用可控自陡峭效应可以从某种程度上抵消三阶色散效应导致的孤子脉冲偏移,从而实现孤子脉冲中心的无偏移传输.     

超常介质中部分相干光束传输的调制不稳定性研究

超常介质与常规光学介质的一个最重要的区别是前者具有色散磁导率,其折射率呈现出可正可负,这样调制不稳定性出现新特点。借助于Wigner变换,从一般的非线性薛定谔方程出发,得到了部分相干光满足Wigner-Moyal的方程,获得了色散关系和增益谱,揭示了部分相干度不仅可抑制调制不稳定性,而且还可以缩小发生不稳定性的频率范围。     

非线性光定向耦合器解的简化表达式

本文将非线性定向耦合器在任意输入情况的解进行了简化.在本文解的基础上,非线性光定向耦合器的工作点,即其开关、调制和放大应用(几乎所有应用)的输入条件能很容易地由解析式确定,并在理论上提出了非线性光定向耦合器一个新的应用:一束强光的相位可以由一束弱光的功率加以控制.     

基于非线性定向耦合器的光二进制逻辑器件

本文提出了一种新的非双稳态光学逻辑器件,它由一个双端输入的非线性光波导耦合器产生相应的输入输出波形,再经过多级单端输入的非线性耦合器进行波形限幅和整形,以获得阶跃开关特性.通过理论计算说明适当选择输入条件,这种器件可以实现所有六种基本的二进制逻辑运算功能:与、或、与非、与或、异或和同或.     

负折射介质中三阶非线性色散项对超短脉冲传输的影响

采用分步傅里叶法研究了三阶非线性色散项对超短脉冲传输的影响.通过模拟数值计算得出,在德鲁德模型频率选取的一定范围内,三阶非线性色散项对超短脉冲传输所造成的影响是不可忽略的.结果表明:三阶非线性色散项系数取负值时,在正常色散区超短脉冲不对称展宽,脉冲中心向前沿偏移;在零色散点超短脉冲不对称展宽程度加剧并在脉冲前沿形成振荡,脉冲中心向前沿偏移;在反常色散区超短脉冲不对称变窄,脉冲中心仍向前沿偏移.     

Effects of third-order dispersion on soliton switching in fiber nonlinear directional couplers

The split-step Fourier method is used to study the energy switching characteristics of fiber nonlinear directional couplers with the third-order dispersion. The effects of the third-order dispersion increases with the third-order dispersion coefficient and input power and result in pulse shift and energy decreases. Adding high-order nonlinear can partly overcomes these effects.     

Bistable soliton states and switching in doubly inhomogeneously doped fiber couplers

Switching between the bistable soliton states in a doubly and inhomogeneously doped fiber system is studied numerically. Both the cases of lossless as well as lossy couplers are considered. It is shown that both up-switching (from the low state to the high state) and down-switching (from the high state to the low state) of solitons between bistable states are realizable, if the amplification of the input soliton for up-switching and the extraction of energy from it for down-switching are suitably adjusted.     

Logic Gates Based in Asymmetric Couplers: Numerical Analysis

Abstract

In this work, we present a numerical investigation of the transmission and switching of fundamental solitons in asymmetric nonlinear directional couplers, constructed with dispersion decreasing fibers (DDF). In this configuration, the coupler consists of two separated parallel fibers, one with a DDF profile and the other with a constant profile. We obtained the characteristics of transmission, extinction ratio, and compression factor of the device.

The truth tables for the logic gates AND, OR, and XOR were obtained. We concluded that the device presenting a constant profile provided the best performance of the studied logic gates. Logic gates AND, OR, and XOR operating with extinction coefficient around 16.6 dB were obtained.     

The role of birefringence in modulation instability fiber ring resonators

We considered a high birefringence fiber ring cavity, which can be represented by a system of two incoherently coupled nonlinear Schrödinger equations with periodic boundary conditions. The stability of the system against time domain periodic perturbations could be strongly conditioned by fiber birefringence. We apply both a perturbative approach and a mean field approximation, in order to highlight the dependence of modulation instability on birefringence and ring detuning. We extend the study of the dynamical properties of the system by means of a phase matching interpretation and a selection of numerical solutions of the governing equations.     

强非局域正交偏振双厄米高斯光束的传输特性

依据非局域非线性介质中双光束传输时遵循的非局域非线性薛定谔耦合方程,在强非局域情形下,通过把响应函数作泰勒展开近似取到二阶,运用变分法求出了正交偏振、中心重合的双厄米高斯光束在强非局域介质中传输时各参量演化规律和一个临界功率,并运用分步傅里叶算法数值模拟出了束宽和相位的演化规律。当两光束以临界功率入射时,得到了正交偏振、中心重合的双厄米高斯空间光孤子及其大相移演化规律。当两光束以总临界功率入射,但两束光的入射功率不等时,光束可以形成呼吸子,但随着阶数的增加呼吸子将越来越不稳定。对于各阶呼吸子,功率大的束宽都作周期性压缩振荡变化,功率小的束宽都作周期性展宽振荡变化,且两呼吸子中功率大的相移随传输距离增加更快。在厄米高斯光束阶数小于5时,变分解得到的结果与数值解吻合较好。     

Dark soliton switching in an NLDC in the presence of higher-order perturbative effects

Dark soliton switching in a nonlinear directional coupler in the presence of intermodal dispersion, cross-phase modulation (CPM), third-order dispersion, Raman effect, and self-steepening effect is reported for the first time. It is shown that, with the exception of CPM, all of the other perturbative effects have almost no effect on the switching characteristics of the dark soliton switch, which is an improvement over the corresponding bright soliton switch. Although the CPM increases the critical power of dark soliton switching, the soliton pulse remains stable inside the coupler during its propagation.     

Vector soliton switching in a fiber nonlinear directional coupler

This paper reports a detailed numerical study of soliton switching in a high as well as low birefringent nonlinear coupler. It is shown that by controlling the polarization angle one can have nearly 100% transmission with excellent switching characteristics. It is shown that soliton remains stable during its propagation inside the coupler. However it is observed that high birefringent coupler exhibits relatively better soliton stability. We show that the coupler could be used as a soliton switch even at an input peak power less than the critical power, the power at which 50-50 power sharing takes place between the two cores, just by a judicious choice of the polarization angle.     

拉曼延迟响应对时空不稳定性的影响

利用一个拓展的非线性薛定谔方程,研究了高强度超短脉冲光束在三阶非线性介质中传输时的时空调制不稳定现象。进一步考虑了时空聚焦、自陡峭和拉曼延迟响应等效应。通过采用线性化的方法,研究在均匀光强的背景下噪声的增长。发现介质的拉曼延迟响应对超短脉冲的时空调制不稳定有很明显的影响,使其在更广的范围出现,甚至在自散焦介质中的反常色散区域,也出现了时空不稳定现象。在此基础上,还对其时空不稳定性的一些特征进行了分析。     

All-optical Steerable Directional Coupler Using Kerr Dark Spatial Soliton Waveguides

1.IntroductionOpticalspatialsolitoninduced-waveguidesareofgreatresearchinterestrecently[1-8]becauseoftheirPOtentialapplicationinopticalcommunicationsandopticalcompution.Asoliton--inducedwaveguidecanguidelightinself--focusingorself--defocusingKerr-typemediabecausethesolitonbeaminducesarefractive-indexprofileequivalenttoanordinarydielectricwaveguide.Soliton-inducedwaveguidecansupPOrtmanymodesofaprobebeampropagatingcoaxiallyalongthesolitonwaveguideSoliton-inducedwaveguideshaveadvantageovertheir…