D. Eliyahu, STATISTICS OF STOKES VARIABLES FOR CORRELATED GAUSSIAN FIELDS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(3), 1994, pp. 2381-2384
The joint and marginal probability distribution functions of the Stoke
s variables are derived for correlated Gaussian fields [an extension o
f D. Eliyahu, Phys. Rev. E 47, 2881 (1993)]. The statistics depend onl
y on the first moment (averaged) Stokes variables and have a universal
form for S-1, S-2, and S-3. The statistics of the variables describin
g the Cartesian coordinates of the Poincare sphere are given also.