Fig. 1. Focusing model of vector beams

Fig. 2. Intensity and polarization distributions of input Bessel-Gaussian beam with r₀=0.4w₀ off-aixal polarization singularity and intensity distributions in the y-z plane for the incidences of radially polarized beams with different off-axial distances

Fig. 3. Intensity and phase distributions in the focal plane generated from the tightly focusing of radially polarized beams with different off-axial distances. Insets: intensity distributions in the y-z plane

Fig. 4. Spin Angular Momentum (SAM) density distributions in different transverse planes

Fig. 5. Intensity and phase distributions in the focal plane generated from the tightly focusing of azimuthally polarized beams with different off-axial distances, and spin-dependent splitting induced by off-axial polarization singularity. Insets: intensity distributions in the y-z plane

Fig. 6. Tightly focusing properites of generally polarized beams with ϕ₀=24° but different off-axial polarization singularities

Fig. 7. Intensity distributions at the focal plane of 2nd-order cylindrically polarized field with different off-axial polarization singularity

Fig. 8. Intensity distributions at the focal plane of 3rd-order cylindrically polarized field with different off-axial displaced polarization singularity

Fig. 9. Spin angular momentum (SAM) density distributions in the focal plane of the l=2 and 3 vector beams