中文摘要：

为了研究自相似脉冲系统中的噪声扰动，从含噪声的非线性薛定谔方程出发，推导出了时间抖动和能量抖动方差表达式。结果表明：噪声使自相似抛物线脉冲形状、频谱和啁啾的畸变非常严重，噪声扰动导致了脉冲振荡和频谱抖动。脉冲仍具有线性啁啾，但在前后沿出现起伏波动。初始阶段噪声扰动很小，可以忽略；随传输距离增大，噪声扰动的影响迅速增大。不同的正色散和增益对时间抖动和能量抖动方差影响不同．

英文摘要：

In order to investigate noise perturbation in self-similar pulse system, the variance formulae of timing and energy jitter are derived from the nonlinear SchrSdinger equation with noise. Results show that the noise greatly distorts self-similar parabolic pulse shape, optical spectrum and chirp, and noise perturbation leads to pulse oscillation and frequency spectrum jitter. The pulse still has a linear chirp, but appears fluctuation at the front and back edges. The noise disturbance is very small and can be ignored in the initial stage, and the influence of noise disturbance increases rapidly with increasing of transmission distance. The influences of different dispersion and gain on time and energy jitter variances are different.