Fig. 1. Electric field distributions of LGB(a)-(d) and PLGB (e)-(h). (a) p=0,l=0; (b) p=0,l=-1; (c) p=0,l=-2; (d) p=2,l=-2; (e) p=0,l=0; (f) p=0,l=-1; (g) p=0,l=-2; (h) p=2,l=-2

Fig. 2. Polarization singular light fields generated by the same beam type. (a), (b) are the Lemon structure and Star structure polarization singular light fields based on PLGB, respectively; (c), (d) are the Lemon structure and Star structure polarization singular light fields based on LGB, respectively

Fig. 3. Polarization singular light fields with different topological charges. (a), (b) are the V-points with topological charges of +1 and -1 based on PLGB, respectively; (c), (d) are the V-points with topological charges of +1 and -1 based on LGB, respectively

Fig. 4. Polarization state distributions of polarized singular light fields with topological charge being +1/2 or -1/2 on the initial plane. (a) Lemon structure of left-handed polarization; (b) Star structure of right-handed polarization; (c) Star structure with both left-handed and right-handed polarizations; (d) Lemon structure with both left-handed and right-handed polarizations

Fig. 5. Polarization state distributions of polarized singular light fields with topological charge being +1 or -1 on the initial plane. (a) EL is LGB with p=0, l=1 and ER is PLGB with p=0, l=-1; (b) EL is PLGB with p=0, l=-1 and ER is LGB with p=0, l=1

Fig. 6. Stokes phase and ellipticity of the quasi high-order polarization singularity light field. (a) Stokes phase field; (b) distribution of ellipticity

Fig. 7. High-order polarization singularity light field when EL is the PLGB with p=0, l=0, and ER is the PLGB with p=0, l=-2. (a) Polarization states of the light field; (b) Stokes phase field of the light field; (c) ellipticity of the light field

Fig. 8. Polarization states of perfect polarization singularities at different distances during free propagation(the upper row is C-points and the down row is V-points). (a) Propagation distance z = 100 mm; (b) propagation distance z = 300 mm; (c) propagation distance z = 1000 mm