To show how apertures affect measurements of the circularly polarized
components of light scattered to a detector, we develop two methods of
averaging the V and I Stokes parameters over a circular aperture that
collects light scattered from an optically active sphere. One method
uses a two-dimensional numerical integration that is appropriate for s
mall apertures, and the other gives analytical expressions for scatter
ing into a solid angle of any size. We identify the aperture locations
that, independent of aperture size, give an average V land an effecti
ve degree of circular polarization) of zero for scattering from an opt
ically inactive sphere and of nonzero for scattering from an optically
active sphere. OCIS codes: 010.1110, 260.2110, 260.5430, 290.0290, 29
0.4020.