The Mueller scattering matrix for sickle cell hemoglobin polymers is calculated using the coupled-dipole approximation method, The complex polarizability of the fiber is calculated using the absorption spectrum of hemoglobin to obtain the imaginary part and a Kramer-Kronig transform to obtain the real part. An anisotropy in the polarizability is calculated based on previous work using linear dichroism. The results of the polarized light scattering calculations are compared to previous measurements of total intensity light scattering and circular intensity differential scattering (CIDS) made on sickle red blood cells. Calculations of CIDS are found to be very sensitive to structural and optical parameters but reasonable agreement between experimental measurements and calculations are obtained. Further measurements and calculations should provide new structural information concerning the sickle fiber.