二阶偏振模色散矢量致脉冲展宽的理论分析

我们首次提出了消偏矢量的概念，并用它来描述二阶偏振模色散中偏振模色散矢量方向的变化。本文导出了由于二阶偏振模色散所引起的脉冲展宽的解析表达式，结论指出，偏振相关的本征色散总是使脉冲展宽加剧；而偏振模色散矢量方向的变化（消偏矢量），却是使脉冲展宽减弱。二阶偏振模色散对脉冲的展宽，不仅与偏振相关的本征色散和消偏矢量有关，而且还与信号的传输速率以及初始一阶偏振模色散的大小有关。信号速率的提高，将明显的使二阶偏振模色散的影响增强。在偏振相关的本征色散不为零的情况下，通过调整初始偏振态矢量、初始一阶偏振模色散矢量以及消偏矢量三者的方向，使它们互相平行，可以获得最佳的色散补偿。但是却不能获得完全的色散补偿。在最佳色散补偿时的最小脉冲展宽为σ= (2^1/2/4)( DCF/T₀).     

光纤偏振效应导致脉冲展宽的解析模型

在10Gb／s,尤其是40Gb／s以上高速光纤通信系统中,光纤的偏振特性已成为限制系统传输距离的主要因素之一。光纤的偏振效应主要包括偏振模色散和偏振依赖损耗。而脉冲均方根展宽是判断信号传输性能的一个主要物理量。本文讨论了光纤线路偏振模色散与偏振相关损耗的相互作用及对信号脉宽的影响。给出了线路偏振模色散矢量和偏振相关损耗矢量之间的关系式,并基于严格的数学方法,导出了在光纤偏振模色散和偏振相关损耗共同作用下的信号均方根脉宽变化的解析形式,同时考虑了光纤色散,啁啾等。该模型可用于分析高阶偏振模色散和偏振相关损耗,任意线性光纤通信系统脉冲展宽分析。     

单模光纤中二阶偏振模色散的测量及其统计特性研究

在高速光纤通信系统中,二阶偏振模色散将引起脉冲信号的展宽和畸变,严重影响系统的传输性能。应用琼斯矩阵本征分析法,测量了光纤的二阶偏振模色散,并对二阶色散的平行分量、消偏振分量、PCD和退极化率进行了详细的分析,得到了二阶PMD随波长的分布情况和统计特性。对二阶偏振模色散的补偿有一定的指导意义。     

二阶偏振模色散对高速高斯光脉冲在单模光纤中传输的影响

研究二阶偏振模色散（PMD）对高斯光脉冲在单模光纤中传输产生的影响，给出输出光脉冲的时域表达式。分析表明，输出光脉冲在每个基本偏振态上仍保持高斯形状，但其频率啁啾及脉宽等特性都已改变，文中对这些变化与二阶偏振模色散之间的关系进行了讨论。通过比较10Gb/s和40Gb/s的光传输系统中二阶偏振模色散的影响，可以发现，若规定脉冲展宽不能超过脉宽的十分之一，40Gb/s系统所能容忍的二阶偏振模色散极限值比10Gb/s系统小一个数量级。     

偏振模色散及非线性效应对40 Gbit/s密集波分复用系统的影响

高速率、大容量的密集波分复用系统是光纤通信系统的最终发展方向 ,单信道速率达到 4 0Gbit/s时 ,光纤的非线性效应、偏振模色散现象对系统的影响更加突出。在综合考虑群速度色散、自相位调制、交叉相位调制、四波混合、偏振模色散等因素的基础上 ,推导了密集波分复用系统中任意信道的耦合非线性薛定谔方程组。利用扩展的分步傅里叶方法对该方程进行了数值计算 ,通过对 8× 4 0Gbit/s密集波分复用系统的仿真 ,分别研究了非线性效应和偏振模色散对密集波分复用系统的影响。发现由于交叉相位调制和四波混合作用 ,多波长的密集波分复用系统比单波系统受非线性效应影响严重 ;系统受偏振模色散与非线性效应的影响程度与输入信号功率有关 ,在入射光单信道平均功率较低 0 .1mW时 ,偏振模色散是影响系统性能的主要因素 ;当入射光单信道平均功率较高1mW时 ,系统受非线性效应影响严重。而偏振模色散在使信号脉冲展宽的同时 ,类似于非零色散位移光纤中的微小色散 ,对非线性效应又有一定的抑制作用。     

高速光纤通信系统中高阶PMD的优化建模

为了评估随机变化的偏振模色散(PMD)(包括一阶和二阶PMD)使系统信号裂化的程度,降低其对高速光纤通信系统传输速率和传输容量的不利影响,在斯托克斯空间中推导了偏振模色散(PMD)矢量的数学表达式。对PMD效应所导致的脉冲展宽进行了数学分析,给出了差分群时延(DGD)的变化、一阶PMD矢量和二阶PMD矢量方向的变化对脉冲展宽的影响。通过数学推导得出,在大多数情况下,二阶PMD无法完全补偿,需通过控制单元的调整使其对系统的影响达到极小值。通过实验分析,得到了和数学推导中同样的结果,从而证明了模型的正确性。     

偏振度作为反馈信号进行偏振模色散补偿的研究

对40Gb／s光纤通信中归零码和非归零码光脉冲的偏振度随二阶偏振模色散的变化规律进行了数值模拟,结果表明由于二阶偏振模色散的影响,偏振度的变化趋势呈现出震荡性,二阶偏振模色散对归零码的偏振度要比非归零码的偏振度影响明显;同时搭建了偏振模色散补偿系统,对系统进行数值模拟和实验所得到的结果都表明,以偏振度作为反馈信号,采用粒子群优化算法作搜索算法能够有效地对归零码和非归零码系统的一阶及高阶偏振模色散进行自适应补偿。     

偏振模色散补偿中的偏振主态与分束器主轴的对准

光纤通信系统的比特率超过10Gb/s或更高时,偏振模色散引起的脉冲信号展宽成为主要障碍.分离光纤线路中的两个偏振模式对于提高偏振模色散补偿的精度和速度有重要意义.讨论了光纤线路中两偏振主态与补偿器中偏振分束器主轴的对准问题,给出了偏振分束器任何一个主轴上光强的表示并推导出相应的电功率信号表示式,建立了电功率与光信号两个模式之间的延迟时间以及偏振主态与分束器主轴相对角度的变化关系.初步实验表明,可以通过偏振控制器或可转动的光纤连接器实现偏振主态与偏振分束器的对准.     

偏振模色散和非线性效应对光纤传输特性的综合影响

本文采用变分法,研究多色色散、偏振模色散(PMD)以及非线性效应对单模光纤中光脉冲传输的综合影响.模拟分析结果表明,非线性对偏振模色散具有一定的抑制作用;但它们的综合作用所导致的脉冲展宽比PMD或非线性单独作用时要大.     

偏振模色散补偿中偏振度与差分群延时关系的理论分析和实验

偏振模色散是高速光纤通信系统的主要问题之一。在用偏振度作为反馈信号的动态偏振模色散补偿系统中，偏振度与差分群延时的关系对于准确快速的动态偏振模色散补偿很重要。推导出了准单色光波情况下任意波形和高斯脉冲的偏振度的数学表达式，理论分析了高斯脉冲情况下分光比、脉冲宽度和连续脉冲个数分别对偏振度与差分群延时关系的影响，并用10Gbit／s归零／不归零伪随机码序列进行了实验，实验证明了理论推导和理论分析的正确性。实验还表明偏振度的大小与脉冲啁啾和光纤色散无关，从而肯定了将实际光脉冲化简为准单色光波分析的可行性。     

Polarization Mode Dispersion in High-Speed Optical Communication Systems

We review the research progress concerning some fundamental issues related to polarization-mode dispersion (PMD) in high-speed fiber-optic transmission systems. We pay particular attention to issues such as the PMD-induced pulse broadening, PMD measurement and emulation, as well as PMD compensation. An electrical equalization technique based on a transversal filter and an optical technique based on a nonlinear chirped fiber Bragg gratings for PMD compensation will be discussed.     

Polarization Mode Dispersion in High-Speed Optical Communication Systems

Abstract

We review the research progress concerning some fundamental issues related to polarization-mode dispersion (PMD) in high-speed fiber-optic transmission systems. We pay particular attention to issues such as the PMD-induced pulse broadening, PMD measurement and emulation, as well as PMD compensation. An electrical equalization technique based on a transversal filter and an optical technique based on a nonlinear chirped fiber Bragg gratings for PMD compensation will be discussed.     

PMD impact on optical systems: Single- and multichannel effects

We discuss the influence of polarization mode dispersion (PMD) on optical communication channels by putting special emphasis on PMD-induced pulse broadening. We present the analytical theory for PMD-induced pulse broadening, first in the deterministic and then for the random case. We then apply this theory to a comparison between a few different simple PMD-compensators. We also discuss the systems implications and outage probabilities that arise for different compensating techniques, including active optical compensation, alternative modulation formats and error correcting codes. Then we consider wavelength division multiplexing (WDM) systems, and present the unique aspects of PMD and PMD compensation that distinguish WDM transmission from the single-channel case. Finally the temporal drift is discussed, and the associated autocorrelation function is presented.     

Investigations on PMD-induced penalties in 40 Gbps optical transmission link

Polarization-mode dispersion (PMD) in optical fibers and components can be a limiting impairment in high-speed, long-haul transmission link. In this paper, we have carried out investigations on PMD-induced penalties in a 40 Gbps optical transmission link and we obtained results for DGD, BER, Q² (dB) for different values of the PMD coefficient and different random seeds using computer simulation.     

Soliton Propagation in Birefringent Fibers

In this article, the propagation of solitons in a single mode fiber with polarization mode dispersion (PMD) is analyzed. In optical fibers, the randomly varying birefringence degrades soliton transmission system in two aspects. First, the dispersive waves cause pulse broadening. Second, the dispersive waves interact with other soliton pulses. Here we studied the effects of PMD on a single pulse and the variation of pulse broadening, energy decay, and degree of polarization on a single soliton pulse propagating over a very long distance.     

偏振模色散对多信道光纤通信系统信号的影响

利用耦合非线性薛定谔方程,计算了考虑PMD和非线性效应情况下8×40 Gb/s波分复用光纤通信系统中的波形及频谱.与不考虑PMD结果的比较表明:由于PMD的影响使得波形变宽,频谱分裂,同时通过比较还发现PMD对各信道的影响是不同的,这将有利于开发WDM系统中PMD补偿系统.     

PMD effect on pulse shapes and power penalty in optical communication systems

We present an analytical expression relating the output state of polarization and the first-order polarization mode dispersion (PMD) vector in terms of the angle of precession of the output state of polarization around the PMD vector. We derive, incorporating for the first time this angle of precession, a general relation to study the effect of first-order PMD on pulses of arbitrary shapes, and expressions for pulse shape, pulse broadening and power penalty taking into account both PMD and chromatic dispersion. Measured experiment results are presented for NRZ, RZ, NRZ-DPSK, and RZ-DPSK modulation formats.