Fig. 1. Simulation of the seventh order of IG mode. (a) Ie(7,1,2); (b) Io(7,5,3); (c) Ie(7,1,2)ex+Io(7,5,3)ey

Fig. 2. Schematic of the generation of IG vector mode

Fig. 3. Schematic of the masks. (a) Ie(4,4,1) mode; (b) Io(4,2,3) mode

Fig. 4. Experimental intensity of six different kinds of polarization when p=4. (a) Horizontal polarization; (b) right circular polarization; (c) diagonal polarization; (d) vertical polarization; (e) left circular polarization; (f) anti-diagonal polarization

Fig. 5. Intensity distribution of the IG vector field when p=4. (a) Experimental; (b) theoretical

Fig. 6. Superposition of orthogonal odd and even modes when p=5. (a) Mask of even mode; (b) horizontal polarization; (c) right circular polarization; (d) diagonal polarization; (e) mask of odd mode; (f) vertical polarization; (g) left circular polarization; (h) anti-diagonal polarization; (i) experimental intensity; (j) theoretical intensity

Fig. 7. Superposition of orthogonal odd and even modes when p=6. (a) Mask of even mode; (b) horizontal polarization; (c) right circular polarization; (d) diagonal polarization; (e) mask of odd mode; (f) vertical polarization; (g) left circular polarization; (h) anti-diagonal polarization; (i) experimental intensity; (j) theoretical intensity