Fig. 1. Basic process of GS algorithm

Fig. 2. Schematic of the geometric phases of the Poincaré sphere

Fig. 3. Schematic of the polarization multiplexing metasurface

Fig. 4. Designed phase distribution and target academic holographic image of the metasurface

Fig. 5. Schematic of the all-silicon rectangular column element structure

Fig. 6. Transmittances and phase shifts of the metasurface elements

Fig. 7. Simulation results of geometric phase control and polarization conversion efficiency of the selected element

Fig. 8. Intensity and phase and normalized intensity distribution at x=0 in y-direction under RCP analysis of geometric phase control

Fig. 9. Intensity and phase and normalized intensity distribution at x=0 in y-direction under LCP analysis of geometric phase control

Fig. 10. Intensity and phase and normalized intensity distribution at x=0 in y-direction at different incident frequencies under RCP analysis of geometric phase control

Fig. 11. Intensity and phase and normalized intensity distribution at x=0 in y-direction under LCP analysis of geometric phase and propagation phase control simultaneously

Fig. 12. Intensity and phase and normalized intensity distribution at x=0 in y-direction under RCP analysis of geometric phase and propagation phase control simultaneously