Abstract
We present analytic expressions for the temporal autocorrelation functions
(ACF's) of the polarization mode dispersion (PMD) vector, the squared differential
group delay (DGD) and the state of polarization (SOP) in the hinge model for
stochastically varying hinges. We also derive the continuous limit of the
temporal ACF of the squared DGD. Our studies demonstrate that for large time
offsets, the ACF of the PMD vector approaches a constant value that depends
principally on the DGD of the last fiber section but is also affected to a
diminishing degree by the DGD of preceding fiber sections. We also show that
sinusoidal perturbations of the hinge rotation angles do not significantly
alter the results. The accuracy of the procedure is further established through
comparison with numerical simulations.
© 2013 IEEE
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