用龙格-库塔算法对描述超高斯脉冲在光纤中传输的微分方程组进行了数值求解,数 值结果表明归一化二阶色 散系数的大小合适且初始啁啾较小时脉冲的脉宽和频率啁啾随距离振荡演化,脉冲的频率和相位则出现随传输距离增 大而增大的抖动。求出了高斯脉冲的锐度因子为不同值(小于等于7) 能使超高斯脉冲在光纤中持续保形传输的归一 化二阶色散系数和初始啁啾大小条件(小于), 当二阶色散系数太大或太小或初始啁啾太大时脉冲在传输过程中 各重要参量都会严重偏离它们的初始值。

By using Runge-Kutta algorithm, the differential equations that describe the evolution of super-Gaussian pulse in optical fibers were calculated. The numerical result indicates that width of pulse and chirp of frequency are oscillating with the increasing of distance if normalized coefficient of the second-order dispersion is appropriate and initial chirp is small enough, and increasing jitter of frequency and phase resulted in the increase of distance. The normalized coefficient of the second-order dispersion and initial chirp () were obtained that can guarantee the conformal transmission of the pulse under circumstance of given set of values of the factor () of sharpness of super-Gaussian pulse. The important parameters of super-Gaussian pulse deviated widely from initial values in the process of transmission in optical fibers if coefficient of the second-order dispersion is too big or too small, or initial chirp is too big.