论文部分内容阅读
从非线性薛定谔方程出发 ,在小信号近似下 ,推导并求解了光纤中扰动相位和幅度的演化方程 ,利用得到的扰动相位及功率增益的表达式 ,研究了初相位和频率对传输过程中扰动增益的影响。研究表明 :扰动的初相位对扰动增益的初值和初始阶段的演化规律有重要影响 ;取决于扰动初相位 ,任何一个频率的扰动增益都有可能达到一个共同的最大值 ;在被认为无调制不稳定的正色散区和扰动频率大于截止频率的负色散区 ,扰动增益随距离是振荡的 ;在被认为有调制不稳定的扰动频率小于截止频率的负色散区 ,频率相同而初相位不同的扰动增益将经历不同形式的演化后趋于同一正值。
Based on the nonlinear Schrödinger equation, the evolution equation of the phase and amplitude of perturbation in fiber is deduced and solved under the small signal approximation. By using the expressions of the phase and power gain, the influence of initial phase and frequency on the disturbance The effect of gain. The results show that the initial phase of the disturbance has an important influence on the initial value of the disturbance gain and the evolution of the initial stage. Depending on the initial phase of the disturbance, the perturbation gain of any one frequency may reach a common maximum. The unstable positive dispersion region and the negative dispersion region whose disturbance frequency is greater than the cut-off frequency, the disturbance gain oscillates with distance; in the negative dispersion region where the modulation frequency is less than the cut-off frequency, the frequency is the same and the initial phase is different Disturbance gain will experience different forms of evolution tend to the same positive value.