Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems

Derevyanko SA; Turitsyn SK; Yakushev DA

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Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems

机译：Fokker-Planck方程法描述光纤传输系统中的孤子统计

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We derive rigorously the Fokker-Planck equation that governs the statistics of soliton parameters in optical transmission lines in the presence of additive amplifier spontaneous emission. We demonstrate that these statistics are generally non-Gaussian. We present exact marginal probability-density functions for soliton parameters for some cases. A WKB approach is applied to describe the tails of the probability-density functions. (c) 2005 Optical Society of America.

机译：我们严格推导了Fokker-Planck方程，该方程控制在存在加法放大器自发发射的情况下光传输线中孤子参数的统计信息。我们证明这些统计信息通常是非高斯的。在某些情况下，我们给出了孤子参数的精确边际概率密度函数。 WKB方法用于描述概率密度函数的尾部。（c）2005年美国眼镜学会。

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《Journal of the Optical Society of America, B. Optical Physics》 |2005年第4期|共10页
作者
Derevyanko SA; Turitsyn SK; Yakushev DA;
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正文语种 eng
中图分类光学;
关键词
NON-GAUSSIAN STATISTICS; PHASE JITTER; PROBABILITY; PERTURBATIONS; FILTERS; NOISE;

机译：非高斯统计;相位抖动;概率;扰动;滤波;噪声;

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1. Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems [J] . Derevyanko SA, Turitsyn SK, Yakushev DA Journal of the Optical Society of America, B. Optical Physics . 2005,第4期

机译：Fokker-Planck方程法描述光纤传输系统中的孤子统计
2. Optical solitons to Kundu-Mukherjee-Naskar model in birefringent fibers with trial equation approach [J] . Yildirim Yakup Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2019,第期

机译：用试验方程方法的双折射纤维中的光学孤子到Kundu-Mukherjee-Naskar模型
3. Optical solitons to Chen-Lee-Liu model in birefringent fibers with trial equation approach [J] . Yildirim Yakup Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2019,第期

机译：具有试验方程方法的双折射纤维中的光学孤子模型
4. A Fokker-Planck differential equation approach for the zero-dispersion optical fiber channel [C] . Yousefi Mansoor I., Kschischang Frank R. 2010 IEEE International Symposium on Information Theory Proceedings . 2010

机译：零色散光纤通道的Fokker-Planck微分方程方法
5. Studies on solitons and evolution equations of nonlinear wave systems [D] . Ishimori, Yuji 1983

机译：非线性波动系统的孤子和演化方程的研究
6. The Effects of Five-Order Nonlinear on the Dynamics of Dark Solitons in Optical Fiber [O] . Feng-Tao He, Xiao-Lin Wang, Zuo-Liang Duan 2013

机译：五阶非线性对光纤暗孤子动力学的影响
7. Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems [O] . Derevyanko, Stanislav A., Turitsyn, Sergei K., Yakushev, Dennis A. 2005

机译：Fokker-Planck方程法描述光纤传输系统中的孤子统计

Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems

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