Fig. 1. Schematic diagrams. (a) FG; (b) FMGPG

Fig. 2. Comparison of far-field diffraction intensities for FMGPG and FG. (a) Diffraction pattern of FMGPG; (b) diffraction pattern of FG; (c) corresponding axis diffraction intensity distribution for Fig. (a); (d) corresponding axis diffraction intensity distribution for Fig. (b)

Fig. 3. Far-field axis diffraction intensity distributions of FMGPG with different R values. (a) R=3 μm; (b) R=7 μm; (c) R=11 μm

Fig. 4. Far-field axis diffraction intensity distributions of FMGPG with different d values. (a) d=40 μm; (b) d=50 μm; (c) d=80 μm

Fig. 5. Far-field axis diffraction intensity distributions of FMGPG with different S values. (a) S=50 mm²; (b) S=80 mm²

Fig. 6. Optical microscope images. (a) FMGPG; (b) FG

Fig. 7. Experimental setup

Fig. 8. Comparison of far-field diffraction intensities for FMGPG and FG in experiment. (a) Diffraction pattern of FMGPG; (b) diffraction pattern of FG; (c) corresponding axis diffraction intensity distribution for Fig. (a); (d) corresponding axis diffraction intensity distribution for Fig. (b)

Fig. 9. Comparison of interference fringe of the vortex generated by FMGPG spread through the cylindrical lens with different TC values. (a) TC is 6; (b) TC is 8; (c) TC is 10; (d) cross-sectional intensity distribution along the red line in Fig. (a); (e) cross-sectional intensity distribution along the red line in Fig. (b); (f) cross-sectional intensity distribution along the red line in Fig. (c)