The differential cross-sections of the light scattering by the director inhomogeneity near small spherical and cylindrical particles in nematic liquid crystals are calculated in the Rayleigh-Gans approximation. We use the Percus-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 scattering cross-section is studied.