偏振模色散矢量的研究

Investigation on the vector of polarization mode dispersion

研究了无损光纤的密勒矩阵 ,进而得出了偏振模色散矢量的解析表达式、主偏振态对应的斯托克斯矢量的解析表达式 ,以及高阶偏振模色散矢量的解析表达式 .这些解析表达式是由光纤参数决定的 .讨论了局部偏振模色散矢量与整体偏振模色散矢量的关系 ,讨论了利用偏振模色散矢量进行偏振模色散补偿的原理 .引入了偏振模色散补偿元件的偏振模色散补偿矢量C ,具体计算了正规的非圆光波导类的补偿元件的C .从理论上证明了仅仅利用一个正规的非圆光波导类的补偿元件 ,例如一根保偏光纤或是一个双折射晶体 。

This paper investigates the Miller matrix in an optical fiber, and derives the expression of the vector of polarization mode dispersion (PMD), expression of the Stocks vector of principal state of polarization, and expression of the high order vector of PMD, which are determined by the parameters of the fiber. Then the relationship between vectors of local and whole PMD and the principle of PMD compensation are also discussed. Introducing the vector of compensating PMD and calculating the vector of compensating PMD of a piece of uniform non circular birefringence wave guide, we prove theoretically that it is impossible to compensate PMD by use of a piece of uniform non circular birefringence wave guide, such as one piece of polarization maintaining fiber.