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在单模光纤中由于非线性效应和拉曼增益效应的共同作用,导致光子在各向同性介质中传输时满足非线性薛定谔方程。利用随机微分方程研究了长距离光纤通信中噪声对光纤信道的影响,给出了光纤信道的动力学机理模型。首先在非线性薛定谔方程的基础上引入噪声项,然后利用It觝公式将其整理成极坐标系下标准的随机微分方程组,最后利用福克尔-普朗克(Fokker-Planck)方程得到了光脉冲在光纤信道中的概率密度函数,精细地研究了光纤信道的非线性演化规律。即在加入噪声项的情况下,分析了光纤通信的传输性能指标,得到了概率密度函数。
In the single-mode fiber, due to the combination of nonlinear effect and Raman gain effect, the nonlinear Schrödinger equation is satisfied when the photon propagates in the isotropic medium. The influence of noise on fiber channel in long-distance optical fiber communication is studied by stochastic differential equation. The dynamic mechanism model of fiber channel is given. Firstly, the noise term is introduced on the basis of the nonlinear Schrödinger equation, and then it is putted into a standard system of stochastic differential equations under the polar coordinate system by It 觝 formula. Finally, the Fokker-Planck equation is used The probability density function of optical pulses in a fiber channel is studied carefully to study the nonlinear evolution of fiber channels. That is, under the condition of adding noise term, the transmission performance index of optical fiber communication is analyzed and the probability density function is obtained.