Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization

In this work, the sharp focusing of a laser beam whose initial polarization pattern is formed by superposition cylindrical mth-order vector and homogeneous linearly polarized considered theoretically numerically. Although in source plane such both angular spin momentum third Stokes parameter are equal to zero, we reveal that given odd m, subwavelength local regions focal plane, where transverse vortex energy flows occur (the on-axis component momentum) non-zero. Thus, at focus there – sub-regions with elliptical light alternating handedness adjacent (clockwise counterclockwise). This phenomenon can be interpreted as variant an optical Hall effect. We note even field every point no flow observed.