Fig. 1. Fresnel lenses and T-M vortex lenses with the topological charges of l=0, 2, 5, respectively. (a)-(c) Equivalent periodic Fresnel vortex lenses with the same number of zones; (d)-(f) T-M vortex lens based on the T-M sequence of order 5

Fig. 2. Irradiance evolution of Fresnel lenses and T-M vortex lenses with the topological charges of l=0, 2, 5, respectively. (a)-(c) Evolution of the transverse irradiance of the Fresnel lens of order 5; (d)-(e)evolution of the transverse irradiance of the T-M vortex lens of order 5

Fig. 3. (a)-(b) Phase distribution in the two focal planes marked with 1 and 4 in Fig. 2(f); (c)-(d) transverse intensity distribution in the two focal planes marked with 1 and 4 in Fig. 2(f); (e)-(f) intensity profiles along the white dotted lines showed in Fig.3 (c) and Fig.3 (d)

Fig. 4. Schematic of the experimental setup

Fig. 5. (a)-(d) Simulated transverse irradiance distributions at the focal planes marked with 1, 2, 3 and 4 in Fig.2 (e)

Fig. 6. (a)-(d)Experimental transverse irradiance at the focal planes marked with 1, 2, 3 and 4 in Fig.2 (e)