A general theory is used to describe the correlation properties of polarization mode dispersion (PMD) in a birefringent, linear, dispersive medium such as optical fibers. The theory includes the effects of frequency dependence of birefringence on all orders, and it is capable of providing statistical information about second- and higher-order correlations among the polarization and PMD vectors. We apply the general theory to study pulse broadening induced by different-order PMD and PMD-induced pulse distortion through the third- and fourth-order temporal moments (related to skewness and flatness, respectively). Our analytic results are in good agreement with numerical simulations.
© 2003 Optical Society of America
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.4510) Fiber optics and optical communications : Optical communications
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(260.2030) Physical optics : Dispersion
(260.5430) Physical optics : Polarization
Qiang Lin and Govind P. Agrawal, "Correlation theory of polarization mode dispersion in optical fibers," J. Opt. Soc. Am. B 20, 292-301 (2003)