Rayleigh-Gans theory of light scattering in filled nematics

The differential cross-sections of the light scattering by the director inh omogeneity near small spherical and cylindrical particles in nematic liquid crystals are calculated in the Rayleigh-Gans approximation. We use the Per cus-Yevick approximation to account for interference effects. The influence of the boundary conditions at the particle surface as well as of external electric field on the angular dependence and magnitude of the light scatter ing cross-section is studied.