The vector of polarization mode dispersion

Investigating the Miller matrix in optical fiber, this paper derives, for the first time, the expression of the vector of PMD (polarization mode dispersion), expression of the Stocks vector of Principal State of Polarization (PSP), and expression of the high-order vector of PMD, which are determined by the parameters of 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-circle birefringence wave-guide, we prove theoretically that it is impossible to compensate PMD by use of a piece of uniform non-circle birefringence wave-guide, such as one piece of polarization maintaining fiber. A novel PMD compensation scheme based on PMD vector and adjustment algorithm are given. All conclusions are very helpful to PMD compensation.