高阶色散和指数饱和非线性光纤的调制不稳定性

采用线性稳定性分析法,解析和计算了指数饱和非线性和高阶色散光纤中的调制不稳定条件和增益谱。结果表明:当二阶和四阶色散同为负时,随着参数的不同,增益谱可能只有一个谱区,也可能出现两个分离的谱区;当二阶和四阶色散分别为正和负时,无调制不稳定性;在其它色散区,则只有一个谱区。指数饱和非线性可能使各谱区的谱宽、峰值增益随入纤功率的增大呈现出先增大后减小的特点,即出现两个不同的输入功率对应同一个不稳定增益峰值和谱宽的情形。在其它参数相同时,指数饱和非线性下增益谱的谱宽和峰值增益随入纤功率的变化速度将比传统饱和非线性更快。     

Cross-phase modulation instability in optical fibres with exponential saturable nonlinearity and high-order dispersion

Utilizing the linear-stability analysis, this paper analytically investigates and calculates the condition and gain spectra of cross-phase modulation instability in optical fibres in the case of exponential saturable nonlinearity and high-order dispersion. The results show that, the modulation instability characteristics here are similar to those of conventional saturable nonlinearity and Kerr nonlinearity. That is to say, when the fourth-order dispersion has the same sign as that of the second-order one, a new gain spectral region called the second one which is far away from the zero point may appear. The existence of the exponential saturable nonlinearity will make the spectral width as well as the peak gain of every spectral region increase with the input powers before decrease. Namely, for every spectral regime, this may lead to a unique value of peak gain and spectral width for two different input powers. In comparison with the case of conventional saturable nonlinearity, however, when the other parameters are the same, the variations of the spectral width and the peak gain with the input powers will be faster in case of exponential saturable nonlinearity.     

饱和非线性下零色散附近的交叉相位调制非稳

从光纤中扩展的耦合非线性薛定谔方程组出发,在饱和非线性光纤零色散附近,研究了不同二、四阶色散参量下交叉相位调制不稳定性增益谱及其临界扰动频率、谱宽和谱峰随两光波入射功率的演化特点.研究表明,随色散参量不同,增益谱随两光波入射功率的增大可能出现三种演化形式：一是始终是两个分离的谱区;二是由开始时的两个合成一个,最后再分离成两个;三是始终是一个谱区.饱和非线性的存在则使每个谱区的谱宽、谱峰及远离零点的临界扰动频率,随两光波入射功率的增大可能呈现出先增大后减小的特点,使第二谱区靠近零点的临界扰动频率呈现先减小后增大的特点,从而可能出现两个不同的输入功率对应同一个增益峰值和谱宽的情形.色散参量对增益谱的谱峰影响小,对谱宽影响大.越靠近零色散区,每个谱区谱宽越大,越易连成一个谱区.     

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.     

高阶色散导致的交叉相位调制不稳定性

在考虑光纤损耗及高阶色散的情况下,以三、四阶色散项的耦合非线性薛定谔方程为基础,研究高阶色散对交叉相位调制不稳定性的影响.研究表明:三阶色散对调制不稳定性不起作用;由于四阶色散的影响,在光纤的正常、反常色散区,交叉相位调制不稳定性均发生在两个频谱区.且反常色散区两频谱区都比正常色散区的宽,反常色散区第二频谱区比正常色散区的更靠近零点.光纤损耗对增益谱的谱宽有较大影响,它使增益的谱宽变窄,且随传输距离的增大谱宽变得更窄.     

非线性管理光纤光栅中的调制不稳定性研究

基于非线性耦合模方程,研究了非线性管理光纤光栅中的调制不稳定性,得到了调制不稳定性的色散关系。与常规的非线性光纤光栅相比,在非线性管理光纤光栅中,克尔非线性的变化改变了调制不稳定性增益谱的谱宽和幅度,并导致新的不稳定性区域的出现:在反常色散区,原来关于零波数对称的两个旁瓣随着克尔非线性变化的增加其增益幅度递减至零,在经历了一段无增益区域之后,又逐渐形成了在零波数附近区域的一个新的单峰;而在正常色散区,除了原来的两个增益区域之外,零波数附近出现了新的增益区,增益的幅度随克尔非线性变化的增加而递增。可见,非线性管理光纤光栅给调制不稳定性的产生提供了更多的空间。     

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.     

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...     

Impacts of higher-order dispersions and saturable nonlinearities on modulation instability in negative-refractive metamaterials

On the basis of the standard linear stability analysis and Drude electromagnetic model,the impacts of higher-order dispersions and three kinds of typical saturable nonlinearities on modulation instability(MI) have been analyzed and calculated for negative-refractive metamaterials(MMs).Our results show that the MI gain spectra consist of only one spectral region instead of one or two regions in ordinary materials,which may be close to or far from the zero point.Particularly,the spectrum far from the zero point has a high cut-off frequency but a narrow spectral width,which is obviously beneficial to the generation of high-repetition-rate pulse trains.Moreover,MI characteristics here will vary with the normalized angular frequency which can be modified by adjusting the structures of negative-refractive MMs,signifying the controllability of bistable solitons and MI based applications.The effects of saturable nonlinearities are similar to those in ordinary materials.     

色散缓变光纤中飞秒光脉冲的调制不稳定性研究

研究了色散缓变光纤中飞秒光脉冲的调制不稳定性 ,发现当色散缓变光纤的色散参量满足一定关系式时 ,增益谱的谱宽最宽 ,获得了增益谱的表达式 ;三阶色散对调制不稳定性不起作用 ;自变陡效应使增益谱的谱宽变窄 ,振幅的增长速度减漫 ;拉曼效应改变了调制不稳定性的产生区域。     

强双折射光纤中任意偏振方向矢量调制不稳定性

利用光脉冲在非线性双折射光纤中传播时所遵循的相干耦合非线性薛定谔方程,研究了偏振方向与双折射轴成任意角度时，在反常色散区和正常色散区所产生的调制不稳定性.结果表明，在反常色散区和正常色散区存在不稳定偏振区域和稳定偏振区域，对应不同的不稳定偏振区域，输入临界功率不同，脉冲有不同的增益谱. 关键词： 任意偏振方向 矢量调制不稳定性 非线性光纤 双折射     

光子晶体光纤耦合器中的标量调制不稳定性

从光纤耦合器的耦合模方程出发,用偶奇超模对其进行重写,讨论了当输入条件使奇偶超模其中之一被单独激发时,在光子晶体光纤耦合器中的调制不稳定性.结果表明：光子晶体光纤耦合器中在正常和反常色散区均存在调制不稳定性,并且调制不稳定性与三阶色散项无关、与四阶色散项有关,给出了增益谱在不同色散区随输入功率的变化关系;当满足一定条件时,在光子晶体光纤耦合器中传播的准连续波可以分解成脉冲序列,由此可以分离和提取超短脉冲. 关键词： 光子晶体光纤耦合器 偶次超模 奇次超模 标量调制不稳定性     

群速度色散对高功率激光系统前端整形脉冲的影响

基于高功率激光系统前端全光纤脉冲整形系统输出的脉冲特性，以两路脉冲堆积为例，理论分析并讨论了光纤中群速度色散的作用，提出了分离距离的概念，得出了整形脉冲时间调制周期、瞬时频率，以及初始啁啾对脉冲波形影响的解析结果。数值模拟了脉冲波形、瞬时频率在正、负色散光纤中随时间的变化特性，以及时间调制周期与传输距离之间的关系。结果表明，堆积脉冲不同位置瞬时频率变化不同；脉冲时间调制周期与时延和初始啁啾以及色散符号有关。     

高斯变迹布拉格光纤光栅中的调制不稳定性

利用激光脉冲在光纤光栅中传播时所遵守的相干耦合非线性薛定谔方程,研究了激光脉冲在高斯变迹布拉格光纤光栅中传输时，在反常色散区和正常色散区所产生的调制不稳定性.结果表明在反常色散区和正常色散区都能产生调制不稳定性；在反常色散区，当输入功率达到一定数值时，产生明显的有规律的增益谱；在正常色散区，在产生调制不稳定性功率区域，调制不稳定性存在并从给定值一直持续到无穷；并且，在反常色散区和在正常色散区，增益谱都受到高斯变迹函数的制约. 关键词： 高斯变迹 布拉格光栅 调制不稳定性 增益     

局部高斯变迹布拉格光纤光栅中的调制不稳定性

利用激光脉冲在光纤光栅中传播时所遵守的相干耦合非线性薛定谔方程,研究了激光脉冲在局部高斯变迹布拉格光纤光栅中传输时,在反常色散区和正常色散区所产生的调制不稳定性。结果表明在反常色散区和正常色散区都能产生调制不稳定性;在反常色散区,当输入功率达到一定数值、传输距离一定时,当f=-1禁带之上能带底时,调制不稳定性增益的强度最强、宽度最窄;当远离能带底时强度减弱、宽度变宽;在正常色散区,在产生调制不稳定性功率区域,调制不稳定性存在并从给定值一直持续到无穷;并且,在反常色散区和在正常色散区,增益谱都受到局部高斯变迹函数的制约。     

Analysis of the interplay between soliton fission and modulation instability in supercontinuum generation

We investigate the generation mechanisms for ultra-wide spectra in nonlinear optical fibers. Soliton fission and modulation instability represent fundamental mechanisms for the generation process. The primary origin of the spectral broadening changes with the pump-pulse duration. Soliton fission dominates for low input power and short pulses. Its efficiency for supercontinuum generation and especially the extension to the blue side can be increased by proper design of the dispersion profile. The modulation instability has a strong impact for high input powers and greatly enhances the generation process, but leads to a degradation of the coherence properties. Also for short pulses with durations of 60 fs the modulation instability is present and can hardly be suppressed. The interplay between these two effects leads to various characteristics of the resulting spectra, which are modified by the relative impact of the modulation instability. PACS 42.81.Dp; 42.65.Re     

包含高阶色散的色散缓变光纤中交叉相位调制不稳定性分析

从包含高阶色散的广义非线性薛定谔方程出发,得到了色散缓变光纤中交叉相位调制不稳定增益谱,研究了增益谱随入射功率及光纤纵向色散参量的变化关系.结果表明：由于四阶色散的影响,在色散缓变光纤的正、反常色散区,交叉相位调制不稳定均发生在两个频谱区.反常色散区两频谱区宽度均比正常色散区宽,且反常色散区第二频谱区更靠近零点,说明色散缓变光纤中交叉相位调制不稳定更容易发生在反常色散区.增益谱宽都随两入射光波功率比值的增加而增大.色散缓变光纤中交叉相位调制不稳定增益谱宽比常规光纤的宽,且随着光纤纵向色散参量μ的增大色散缓变光纤中交叉相位调制不稳定越来越明显.     

Spectral Talbot phenomena of frequency combs induced by cross-phase modulation in optical fibers

Cross-phase modulation (XPM) of a frequency comb (finite-duration optical pulse sequence) by an intense, long Gaussian pump pulse is theoretically investigated, and new effects, namely, frequency-domain self-imaging phenomena (integer and fractional Talbot effects), are reported. The conditions favorable for observing spectral self-imaging phenomena by XPM are derived and numerically confirmed. The effects of nonidealities in a practical experiment (e.g., group-delay walk-off and dispersion) are also evaluated. One can use spectral self-imaging to tune the free spectral range of a frequency comb (without affecting the shape and bandwidth of the individual passbands) simply by adjusting the pump power in a fiber XPM scheme.     

The Micro-Theory of Ultra-Short Pulse Propagating in Nonlinear Fiber

The modified quantum nonlinear Schrodinger equation of ultra-short pulse propagating in fiber is derived using dispersion relation and the Hamiltonian of the transmission system. The derived equation is solved with linearization approximation, and modulation instability is analyzed. The equation is also solved with Hartree approximation. The results indicate that pulse power, loss and self-steeping effect change the critical frequency, the maximum gain and the gain spectrum range, but the third order dispersion has no effect on modulation instability. The expectation value of optical field is average of a set of modified classical solitons, and higher order terms change the amplitude, pulse position and phase of soliton.     

保偏光纤中相近频率传输区域的调制不稳定性

利用激光脉冲在光纤中传播时所遵守的相干非线性薛定谔耦合方程,研究了保偏光纤中两相近频率的线偏振光，其偏振方向相互正交且平行于光纤的双折射轴，且偏振方向沿两个双折射轴的分量强度相等时，在同为反常色散区和正常色散区所产生的调制不稳定性.结果表明在反常色散区和正常色散区都能产生调制不稳定性；在正常色散区存在不同的调制不稳定性功率区域，对应不同的功率区域，导致增益谱表现出明显的不同，并且当输入功率一定时，波长差(或频率差)的变化导致增益谱的变化. 关键词： 相近频率传输区域 双折射 保偏光纤 调制不稳定性