Fig. 1. Phase distribution of source field, intensity distribution of source filed and intensity distribution after 1 m propagation under different beams. (a1)-(a3) Vortex beam (l=3); (b1)-(b3) asymmetric PEPV beam(l=3, n=2); (c1)-(c3) RPEPV beam (l=3, n=2)

Fig. 2. Schematic diagram of tight focusing

Fig. 3. Intensity distribution of tightly focused partially coherent radially polarized RPEPV beams with different coherence widths δ at M=7 and n=2. (a)-(d) δ=5.0 mm; (e)-(h) δ=2.0 mm; (i)-(l) δ=0.8 mm; (m)-(p) δ=0.5 mm

Fig. 4. Intensity distribution of tightly focused partially coherent radially polarized RPEPV beams with different topological charges l at M=7 and δ=5.0 mm. (a)-(d) l=3; (e)-(h) l=4; (i)-(l) l=5; (m)-(p) l=6

Fig. 5. Intensity distribution of tightly focused partially coherent radially polarized RPEPV beams with different beam indexes M atl=3 and n=2. (a)-(d) M=2; (e)-(h) M=5; (i)-(l) M=7; (m)-(p) M=10

Fig. 6. Polarization degree distribution on focal plane of partially coherent radially polarized RPEPV beams with different beam orders M at δ=0.5 mm. (a1)(a2) M=2; (b1)(b2) M=5; (c1)(c2) M=7; (d1) (d2) M=10

Fig. 7. Polarization degree distribution on focal plane of partially coherent radially polarized RPEPV beams with different coherence widths δ at M=7. (a1)(a2) δ=5.0 mm; (b1)(b2) δ=2.0 mm; (c1)(c2) δ=0.8 mm; （d1）（d2） δ=0.5 mm

Fig. 8. Distribution of coherence between different components on focal plane of partially polarized radially coherent RPEPV beam at δ=5.0 mm. (a)-(d) |μ_xy|; (e)-(h) |μ_xz|; (i)-(l) |μ_yz|

Fig. 9. Distribution of coherence between different components on focal plane of partially polarized radially coherent RPEPV beam at M=5. (a)-(d) |μ_xy|; (e)-(h) |μ_xz|; (i)-(l) |μ_yz|