中文摘要：

为了评估随机变化的偏振模色散（PMD）（包括一阶和二阶PMD）使系统信号裂化的程度,降低其对高速光纤通信系统传输速率和传输容量的不利影响,在斯托克斯空间中推导了偏振模色散（PMD）矢量的数学表达式。对PMD效应所导致的脉冲展宽进行了数学分析,给出了差分群时延（DGD）的变化、一阶PMD矢量和二阶PMD矢量方向的变化对脉冲展宽的影响。通过数学推导得出,在大多数情况下,二阶PMD无法完全补偿,需通过控制单元的调整使其对系统的影响达到极小值。通过实验分析,得到了和数学推导中同样的结果,从而证明了模型的正确性。

英文摘要：

To evaluate the worsening degree of the transmission signals owing to the random polarization mode dispersion（including 1st and 2nd PMD） and reduce the adverse influence on the transmission rate and capacity of the high-bit optical fiber communication system,the mathematical expressions for the polarization mode dispersion（PMD） vector is derived in the stokes space.The explicit expressions for PMD-induced pulse broadening is obtained,and meanwhile,through the analysis on the expressions in different situations,the relationships between the change of the differential group delay（DGD） and the pulse broadening,the change of the direction for 1st and 2nd PMD and the pulse broadening are obtained.From the derivation,it is shown that 2nd PMD can not be compensated completely in most situations,only by adjusting the controlling unit can make the influence on the transmission system attain to minimum.Through the experiment,the same result can be obtained,which can demonstrate the validity of the mathematical module.