For short-length-scale randomness the dominant effect is due to phase-velocity birefringenceand produces a probabilistic uncertainty that increases with propagation distance for the expected valueof the pulse's polarization state. An approximate evolution equation for the probability distribution of thepolarization state was derived previously [Physica D 55, 166 (1992)]. Comparisons between this distributionand Monte Carlo simulations are presented that demonstrate the validity of the analytical results. The simulationsalso show that the polarization state of a pulse is completely randomized on the longer soliton-periodlength scale. This provides justification for the assumption of a uniformly distributed polarization stateused in previous analyses of this problem Furthermore, the higher-order effects of group birefringence are assessed. In particular, the polarizationstatefluctuations induced by the randomness are shown to reduce significantly the effects of pulse splittingand dispersive radiation loss caused by group-velocity birefringence.
|Original language||English (US)|
|Number of pages||8|
|Journal||Journal of the Optical Society of America B: Optical Physics|
|State||Published - May 1994|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Atomic and Molecular Physics, and Optics