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在分布放大传输系统中建立了随机色散模型，利用自伴算符法研究了随机色散的影响． 结果表明：随机色散与放大的自发辐射噪音联合作用增大了传输系统的时间抖动，其中与传输距离有关的随机色散具有长距离效应，而与孤子频移有关的随机色散具有短距离效应．
In the system of distributed amplification transmission, a random dispersion model is established, and the effect of random dispersion is studied by using the self-adjoint operator method. The results show that the combined effect of stochastic dispersion and amplified spontaneous emission noise increases the time jitter of the transmission system. The stochastic dispersion related to the transmission distance has a long distance effect, while the stochastic dispersion related to the soliton frequency shift has a short distance effect.