Fig. 1. Near- and far-field multiplexing display principle of planar LC device. (a) Modulation relationship between intensity (solid line)/geometric phase (dashed line) and orientation angle of LC molecule (horizontal dashed line: quaternary geometric phases corresponding to the same intensity); (b) distribution diagram of orientation angles of quadruply-degenerate LC molecules; (c) diagram of multiplexing display of LC devices in the near and far fields (the dark and light arrows represent the polarization filtering directions of the incident and the transmitted light fields, respectively)

Fig. 2. Design algorithm of angle of orientation of near- and far-field multiplexing display LC devices

Fig. 3. Relationship between the intensity range of near-field images and far-field conjugated images. (a) Quadruply-degenerate orientation angles (θ₁, θ₂, θ₃, and θ₄) and quaternary geometric phases (φ₁, φ₂, φ₃,_{and φ4) correspond to the intensity I0 far from the half peak (solid and dashed lines: modulation relationships between intensity/geometric phase and orientation angle of LC molecules; horizontal dashed line: quaternary geometric phases corresponding to the same intensity); (b)-(d) numerically simulated results with different r(the first line is the orientation distributions of the LC molecules. The second and third lines correspond to the results of the near- and far-field images, respectively. The inset images with white frame are target images in the near and far fields)}

Fig. 4. Conversion efficiency ηand phase delay difference δof transmitted components with different polarization varying with external electric voltage at 633 nm, 733 nm, and 833 nm

Fig. 5. Preparation of liquid crystal devices. (a) Structure diagram of LC devices; (b) preparation process; (c) experimental samples

Fig. 6. Experimental setup [BE is beam expander, AS is small hole diaphragm, QWP is quarter-wave plate, P₁ and P₂ are horizontal and vertical polarizers, lens is convex lens ( f=10 cm), LM is microscopic objective (20×), A, B and C are polarizing micrographs of samples, A and C are samples with binary and full gray, respectively, B is sample with limited gray range of r=0.2, and scale is 0.5 μm]

Fig. 7. Dual-channel multiplexing experimental results of four samples at 633-nm wavelength (the first and second lines are the near- and far-field display results of three samples A-C, respectively)

Fig. 8. Changes of near- and far-field display of sample A with the external electric field at 633-nm, 533-nm, and 483-nm wavelengths (C₁ and C₂ are near- and far-field imaging channels, respectively)