Tight Focusing of Optical Vortices with Hybrid Polarization

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 in such beams rotates with distance from the focal spot, and the longitudinal component of the spin angular momentum has an asymmetric appearance.