Calculations are presented for second-order fluctuations of Stokes par
ameters that result from singly scattered, coherent, polarized radiati
on by an ensemble of small spheroidal particles which are randomly ori
ented in space. The form of the second-order non-Gaussian enhancements
are obtained and discussed, but attention is also given to terms desc
ribing amplitude fluctuations that are present in the Gaussian scatter
ing regime. These terms provide a generalized Siegert relationship for
polarized radiation. The possibility of using measurements of fluctua
tions to characterize the particle shape is considered.