中文摘要：

利用包含拉曼增益的耦合非线性薛定谔方程,导出了斯托克斯参量表示的含拉曼增益的杜芬方程,通过椭圆积分求出了杜芬方程的解析解,重点分析了光波在低双折射光纤中传播时,拉曼增益对其偏振态演化的影响结果表明当输入功率与运动常量满足一定关系时,拉曼增益改变了光波传输时其偏振态演化周期.

英文摘要：

Using the coupled nonlinear Schrdinger（CNLS） equation containing the Raman gain, the Duffing equation with Raman gain is derived, which is represented by the Stokes parameters, and then the elliptic integrals are used to compute the analytical solutions. This article focuses on the analysis of the Raman gain influence on the evolution of the polarization state when the optical waves are propagating in a low-birefringence fiber. Results show that the transmission cycle of the polarization evolution state can be changed due to Raman gain, if the input power and motion constants have a certain relationship.