Theoretical and an experimental research of polarizing transformations in uniaxial crystals for generation cylindrical vector beams of high orders

We analytically and numerically investigate formation of cylindrical vector beams by birefringent crystal in accordance with two schemes: with one combined focus, and with two focuses. In the case with two focuses at presence of a vortical phase in incident beam with circular polarization in one of focuses the radially-polarized distribution is generated, and in another - azimuthally-polarized. The results are generalized on a case of formation radially- and аzimuthally-polarized laser beams of the higher orders. Experiments with a crystal of Icelandic spar confirm results of simulations.