Sharp focusing of a hybridly polarized optical vortex

In this work, using the Richards-Wolf formalism, we consider the sharp focusing of optical vortices with hybrid polarization, which combines the properties of azimuthal and circular polarizations. It is shown that these beams have a number of unique properties: the intensity pattern in such beams is rotating with distance from the focal spot and the longitudinal component of the spin angular momentum is asymmetrically shaped.