经过理论分析和数值计算，发现样品对光束横截面上产生的非线性相移非常近似于高斯分布。
With theoretical analysis and numeric calculation, it is found that the transverse nonlinear phase shift caused by the sample can be very well fitted by a Gaussian function.
结果表明：自相位调制不影响混沌信号脉冲的形状，但能产生非线性相移使混沌信号频谱展宽；
Self-phase modulation of fiber does not affect the pulse shape of chaotic signal, however, its product of nonlinear phase shift can widen the chaotic signal spectrum.
证明了光纤的交叉相位调制是限制激光混沌在光纤传输中同步的主要原因，导出了系统传输的非线性相移。
Chaotic laser synchronization is mainly limited by cross phase modulation in the fiber and the propagation nonlinear phase shift is educed.
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