Impact of Polarization-Mode Dispersion on Fiber Nonlinearities

偏振模色散对光纤非线性的影响

• 批准号: 0320816
• 负责人: Govind Agrawal
• 金额: $ 27万
• 依托单位: University of Rochester
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-09-01 至 2006-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0320816&HistoricalAwards=false
• 关键词: Impact; Polarization; Mode; Dispersion; Fiber

0320816AgrawalEven though the polarization-mode dispersion (PMD) phenomenon has been studied extensively in recent years, most of the research on PMD has been carried out within the linear approximation in which all fiber nonlinearities are neglected. Although this approach has provided considerable physical insight, it cannot be used for real lightwave systems in which nonlinear effects such as self- and cross-phase modulation (SPM and XPM) are not generally negligible. For the same reason, it cannot be used in the soliton regime where the nonlinear effects are used for sustaining solitons. What is needed is a comprehensive research program that studies the impact of PMD on various nonlinear effects such as SPM, XPM, four-wave mixing (FWM), and stimulated Raman scattering. The primary goal of the proposed research is to develop a new theoretical framework that is capable of including the impact of PMD on several important nonlinear effects occurring inside optical fibers. More specifically, we plan to study the impact of PMD on SPM, XPM, FWM, and stimulated Raman scattering. The PMD problem is generally quite complicated because of its stochastic nature. Most of the research so far on PMD has ignored fiber nonlinearities because it considers the state of polarization of each frequency component of the pulse separately. This approach cannot be used for real lightwave systems in which the nonlinear effects are not generally negligible. To remedy this situation, the PI proposes a research program in which the PMD effects will be incorporated by solving the underlying nonlinear Schrodinger equation with the moment method. This technique will allow us to find the stochastic but ordinary differential equations for several important pulse parameters such as the position, width, chirp, and energy.A somewhat different approach is needed for handling the PMD effects on FWM and stimulated Raman scattering. These two nonlinear effects are increasingly being used for making parametric and Raman amplifiers. Fiber lengths used for making such amplifiers are long enough that PMD effects cannot be ignored. The PI has already begun to focus on the Raman-amplification problem and has developed a simple model that allows the PI to find the average and standard deviation of the PMD-induced fluctuations in the amplified signal. He plans to extend this technique to the case of parametric amplification. Although most of the proposed research is of theoretical nature, the PI intends to verify the theoretical predictions in collaboration with other experimental groups.

0320816Agrawal 尽管近年来偏振模色散（PMD）现象得到了广泛的研究，但大多数关于 PMD 的研究都是在忽略所有光纤非线性的线性近似内进行的。尽管这种方法提供了相当多的物理洞察力，但它不能用于真实的光波系统，在这种系统中，自相位调制和交叉相位调制（SPM 和 XPM）等非线性效应通常不可忽略。出于同样的原因，它不能用于使用非线性效应来维持孤子的孤子状态。 我们需要的是一个综合性的研究计划，研究 PMD 对各种非线性效应（例如 SPM、XPM、四波混频 (FWM) 和受激拉曼散射）的影响。 本研究的主要目标是开发一个新的理论框架，能够涵盖 PMD 对光纤内部发生的几种重要非线性效应的影响。更具体地说，我们计划研究 PMD 对 SPM、XPM、FWM 和受激拉曼散射的影响。由于其随机性，PMD 问题通常相当复杂。迄今为止，大多数关于 PMD 的研究都忽略了光纤非线性，因为它分别考虑了脉冲每个频率分量的偏振状态。这种方法不能用于非线性效应通常不可忽略的真实光波系统。为了纠正这种情况，PI 提出了一项研究计划，其中将通过使用矩法求解基础非线性薛定谔方程来纳入 PMD 效应。这项技术将使我们能够找到几个重要脉冲参数（例如位置、宽度、线性调频脉冲和能量）的随机常微分方程。需要采用稍微不同的方法来处理 PMD 对 FWM 和受激拉曼散射的影响。这两种非线性效应越来越多地用于制造参数放大器和拉曼放大器。 用于制造此类放大器的光纤长度足够长，以至于 PMD 效应不容忽视。 PI 已经开始关注拉曼放大问题，并开发了一个简单的模型，使 PI 能够找到放大信号中 PMD 引起的波动的平均值和标准偏差。他计划将该技术扩展到参数放大的情况。尽管大多数拟议的研究都是理论性质的，但 PI 打算与其他实验组合作验证理论预测。