We study Mie light scattering of Laguerre-Gaussian (LG) beams remodelled using the method of far-field matching. The theoretical results are applied to examine the optical field in the near-field region for purely azimuthal LG beams characterized by the nonzero azimuthal mode number m LG . The mode number m LG is found to have a profound effect on the morphology of photonic nanojets and the near-field structure of optical vortices associated with the components of the electric field.