On the second-order approximation of PMD

A second-order polarization mode dispersion (PMD) approximation based upon the pulse-width distortion has been studied. It shows that a complete second-order approximation should include the second derivative of the PR-ID vector as well as the first derivative of the PMD vector. Second-order pulse distortions are explicitly expressed including a `first-order' term involving principal states of polarization (PSP) of the pulse and a second-order term involving the beating between fiber chromatic dispersion and effective PMD chromatic dispersion. An analytical result is derived for the probability of second-order PR-ID power penalty. It shows that the mean PMD of the fiber should be restricted to 26 ps and 18 ps, respectively for an optical link with zero and 850 ps/nm chromatic dispersion, in order to maintain a one dB second-order PMD power penalty with a probability below 10^-6 at a data rate of 10 Gb/s. The analysis also indicates that a second-order PMD compensator can be used as a dynamic chromatic dispersion compensator     

PMD-induced transmission penalties in polarization-multiplexed transmission

In this paper, we investigate for the first time chromatic dispersion and nonlinearity tolerances in the presence of polarization-mode dispersion (PMD) for polarization-multiplexed (POLMUX) 2 /spl times/ 10-Gb/s nonreturn-to-zero (NRZ) transmission. In polarization-multiplexing, the interaction between fiber nonlinearity and PMD can lower the nonlinear tolerance beyond the tolerances evident when considering both transmission penalties separately; the combined penalties are significantly worse than in the case for non-POLMUX transmission. In this paper, we show, through simulations comparing POLMUX with non-POMUX transmission in the presence of nonlinearity, a reduction of about a factor of three in PMD tolerance. In addition, we show that the dispersion tolerance of POLMUX transmission is severely limited in the presence of PMD. For example, a 40-ps differential group delay (DGD) with worst case coupling of the polarization channels into the fiber lowers the dispersion tolerance, resulting in a 1-dB eye-opening penalty (EOP), from 1200 to 450 ps/nm. We conclude that the interaction between PMD, chromatic dispersion, and nonlinearity leads to the worst signal impairments in POLMUX transmission and increases the effort of using polarization-multiplexing as a modulation format.     

Impact of chromatic dispersion on the system limitation due topolarization mode dispersion

The impact of chromatic dispersion on the system limitation due to polarization mode dispersion (PMD) is investigated through Monte Carlo simulations. The waveplate model is used to realistically simulate the variation of PMD with frequency. It is shown that the effects of higher order PMD are compounded in the presence of chromatic dispersion. This can lead to a reduction in the PMD limit for large values of chromatic dispersion. However, it does not lead to a reduction in the PMD limit for the moderate levels of chromatic dispersion that would be encountered in most systems     

色散、偏振模色散和非线性

本介绍了光纤的色散和偏振模色散，及其对系统的影响，介绍了两种主要的色散补偿的方法；分析了在密集波分复用(DWDM)系统中，光纤的各种非线性效应及对系统性能的影响。     

Effect of PDL on the DOP feedback signal in PMD compensation

The impact of polarization dependence loss (PDL) on the degree of polarization (DOP) feedback signal in polarization mode dispersion (PMD) compensation is analyzed. PDL affects DOP only in the presence of PMD, and in the presence of PMD and PDL, DOP relates not only to both PMD and PDL vectors but also to the principal states of polarization (SOPs) components of the output signal; on the other hand, it adds new frequency dependence and is no longer independent of system bit rate. The PDL minimum endangering PMD compensation is determined by the step size of the PMD compensating algorithm and the differential group delay (DGD) value in optical fiber systems. DOP could no longer act as the feedback signal in PMD compensation unless the PDL in the fiber system has been effectively eliminated before PMD compensation.     

光纤偏振模散随波长变化特性的研究

目前,偏振模散已经成为高速光纤通信系统发展的主要障碍,本文用琼斯传输矩阵法研究了偏振模散,通过数值模拟给出其统计特性,差分群时延服从麦克斯韦分布;PMD各阶项随波长随机变化;偏振主态在邦加球上的变化走向说明出现了PMD高阶项。     

WDM high speed chirped DPSK fiber optical system transmission modeling in presence of PMD,PDL, and CD

An analytic model is reported to evaluate the electric output signals and their variance (eye diagram) for multichannel high-speed DPSK fiber optical system in presence of polarization mode dispersion (PMD), polarization dependent loss (PDL), and chromatic dispersion (CD). It is also found that even under linear cross talks, the balanced receiver output show a strong asymmetric phenomenon if adjacent channels are nonsynchronous.     

System performance evaluation in terrestrial systems with highpolarization mode dispersion and the effect of chirping

We evaluate the system power penalty for different modulation formats-nonreturn-to-zero (NRZ), return-to-zero (RZ), dispersion-managed solitons, and prechirped RZ-in the presence of polarization mode dispersion (PMD) for 10-Gb/s terrestrial systems. All orders of PMD are considered by simulating the fiber using the coarse-step method, and a statistical approach is used to estimate the occasional fading of the signals. We show that pulses with lower duty-cycles perform better in general, and the system performance is improved if appropriate prechirping interacts with the residual chromatic dispersion of the fiber     

二阶偏振模色散高速光纤通信的影响及补偿

讨论了二阶偏振模色散对光脉冲的影响,模拟结果表明,二阶偏振模色散对信号影响起主要作用的是去偏振项,使得信号波形边缘出现能量过冲;同时也讨论了二阶偏振模色散补偿的方法,利用二段偏振模色散补偿器对二阶偏振模色散进行了有效的补偿,并给出了补偿的实验结果.     

Pulse distortion induced by polarization-mode dispersion and polarization-dependent loss in lightwave transmission systems

The combined effects of polarization-mode dispersion (PMD) and polarization-dependent loss (PDL) on pulse broadening in optical transmission links for both PMD uncompensated and compensated systems are investigated by numerical simulation. It is shown that, when PDL is large, PDL considerably reduces the efficiency of PMD compensation, which, we find, is mainly due to the increased higher order PMD caused by the combined effects of PMD and PDL, as well as nonorthogonal principal states of polarization.     

Simultaneous Compensation of Polarization Mode Dispersion and Chromatic Dispersion Using Electronic Signal Processing

In this paper, we study the performance of 10.7-Gb/s nonreturn-to-zero (NRZ) and return-to-zero (RZ) on-off keying signals in the joint presence of first-order polarization mode dispersion (PMD) and chromatic dispersion (CD) based on optical signal-to-noise ratio penalty measurements. Our investigations show that the tolerance of RZ to first-order PMD is severely reduced by the presence of typical values of residual CD. Three different receiver strategies are studied: 1. unequalized threshold detection; 2. combined feed-forward and decision-feedback equalization; and 3. maximum-likelihood sequence estimation (MLSE). In all three cases, the presence of CD eliminates the advantage of RZ over NRZ in terms of PMD tolerance. For NRZ, we find that the MLSE improves the tolerance to first-order PMD by 60%-70%, even in the presence of residual CD.     

关于OFDM-ROF光无线传输系统中若干问题的研究

针对采用OFDM技术和ROF技术相结合的OFDM-ROF光无线传输系统在未来实际应用中可能会遇到的一些传输问题,通过系统仿真方式展开研究和讨论,并对一些研究结果进行简要汇报,内容包括：0FDM-ROF光无线传输系统的仿真实现、光纤信道特性对OFDM无线信号传输质量的影响问题,其中涉及到光纤的频率色散、偏振模色散以及非线性效应影响等几方面。通过仿真对各种影响因子对系统性能所造成的损害程度进行了数值分析。     

偏振模色散和时延抖动对啁啾光纤光栅色散补偿特性的影响

对存在偏振模色散(PMD)和群时延(GD)抖动的非理想线性啁啾光纤光栅的色散补偿特性进行了研究。实验测量了啁啾光纤光栅的群时延谱和偏振模色散光谱，理论分析和实验测量表明，啁啾光纤光栅差分群时延(DGD)抖动与其时延抖动密切相关。通过数值模拟方法，计算了线性啁啾光纤光栅偏振模色散眼图代价与入射到啁啾光纤光栅色散补偿器的光信号的偏振方向的关系，计算结果表明在使用啁啾光纤光栅色散补偿器时应对光信号的偏振方向进行调整，以获得最佳补偿效果。另外结合实验数据，模拟计算并讨论了非理想线性啁啾光纤光栅群时延抖动和偏振模色散引起的信号的展宽和脉冲形状的劣化。     

An adaptive first-order polarization-mode dispersion compensationsystem aided by polarization scrambling: theory and demonstration

An adaptive polarization-mode dispersion (PMD) compensation system has been developed to cancel the effects of first-order PMD by producing a complementary PMD vector in the receiver. Control parameters for the PMD compensation system comprised of a polarization controller and a PMD emulator are derived from the nonreturn-to-zero (NRZ) signal in the channel to be compensated. Estimates of the link's differential group delay (DGD) and principal states of polarization (PSPs) based on this signal are reliable when the signal power is equally split between the link's two PSP's; however this condition cannot be assumed. To meet this requirement, we scramble the state of polarization (SOP) of the input signal at a rate much greater than the response time of the PMD monitor signal so that each sample represents many different SOP alignments. This approach allows the effective cancellation of the first-order PMD effects within an optical fiber channel     

光纤光栅偏振模色散的研究

分析了光纤光栅 (FBG)偏振模色散 (PMD)产生的原因 :写入光栅用的光敏光纤对紫外光吸收是不均匀的 ,呈指数型吸收。建立了光栅偏振模色散的模型 ,利用建立的模型计算了不同折射率调制的偏振模色散 ,计算的结果与用偏振模色散分析仪测得的结果符合得很好。理论和实验说明了光栅色散对偏振模色散的影响 :光纤光栅的色散增大 ,光栅的偏振模色散也增大。     

Statistical description of optical system performances due torandom coupling on the principal states of polarization

Due to polarization-mode dispersion (PMD), the performances of an optical transmission system show a random behavior. We calculate the probability density function of the Q-factor due to PMD. We adopt the principal states of polarization model, and we also consider the clock recovery behavior at the receiver. Theoretical results are reported for a 40-Gb/s system, and are compared with those obtained considering the effect of pulse broadening due to PMD     

Automatic compensation of polarization-mode dispersion for 40 Gb/s transmission systems

We present an automatic compensator that effectively mitigates signal distortion due to polarization-mode dispersion (PMD). Accurate compensation is achieved by utilizing a degree of polarization (DOP) monitor with a measurement uncertainty of better than 1% achieved by applying a self-dependent precalibration procedure. The compensation performance at 43 Gb/s was evaluated systematically with respect to both first- and second-order PMD by using a crystal-optical PMD emulator. The compensator extended the tolerable differential group-delay (DGD) limit from 8 to 28 ps, while maintaining the Q penalty below 1 dB. In terms of the average of a Maxwellian-distributed DGD, the PMD compensator enabled transmission for up to 8 ps, or about three times higher than the level tolerated in the uncompensated case. In addition to the compensation performance, we demonstrate successful operation, even for distorted signals with high chromatic dispersion. We believe this capability will be a key enabler for a combined operation with adaptive chromatic dispersion compensators.     

Real-time principal state characterization for use in PMDcompensators

Most polarization-mode dispersion (PMD) compensation systems rely on many feedback parameters that contribute to complexity, instability, and speed limitations. We demonstrate a method that quickly and accurately determines the principal states of polarization of a fiber afflicted with PMD. This information can be used in a feedforward configuration, thereby reducing the number of feedback parameters in a complete compensation system