Fig. 1. Intensity and phase distribution of circular Airy beam and circular Airyprime beam. (a) Intensity distribution of circular Airy beam; (b) phase distribution of circular Airy beam; (c) intensity distribution of circular Airyprime beam; (d) phase distribution of circular Airyprime beam

Fig. 2. Intensity and phase distribution of circular Airy vortex beam and circular Airyprime vortex beam. (a) Intensity distribution of circular Airy vortex beam; (b) phase distribution of circular Airy vortex beam; (c) intensity distribution of circular Airyprime vortex beam; (d) phase distribution of circular Airyprime vortex beam

Fig. 3. Intensity and phase distribution of circular Airyprime vortex beam when freely propagating in space. (a) Intensity profile in xoz plane; (b) intensity distribution at autofocusing focus; (c) phase distribution at autofocusing focus

Fig. 4. Low-order polarization singularities based on circular Airyprime vortex beam. (a) Low-order vector light field based on right-handed circular Airyprime beam and left-handed circular Airyprime vortex beam with l=1; (b) quasi-lemon structure based on right-handed circular Airy beam and left-handed circular Airyprime vortex beam with l=1

Fig. 5. High-order polarization singularities based on circular Airyprime vortex beam. (a) V-point based on right-handed circular Airyprime vortex beam with l=-1 and left-handed circular Airyprime vortex beam with l=1; (b) quasi-high-order polarization singularities based on right-handed circular Airy vortex beam with l=1 and left-handed circular Airyprime vortex beam with l=-2

Fig. 6. Distribution of polarization states of quasi-lemon structure at different free propagation distances. (a) z=100mm; (b) z=1000mm; (c) z=2300mm; (d) z=2700mm

Fig. 7. Standard polarization singularities during propagation. (a) Standard lemon structure at distance z=2000mm; (b) standard high-order polarization singularities at distance z=2000mm

Fig. 8. Distribution of polarization states of V-point at different free propagation distances. (a) z=1000mm; (b) z=2300mm

Fig. 9. Distribution of polarization states of low-order vector fields at different free propagation distances. (a) z=1000mm; (b) z=2300mm