Fig. 1. Scheme of correlated triple amplitude and phase holography. The two amplitude holograms (H1 and H2) and the phase hologram (H3) are shown in the right panel. The cyan blocks represent transmission at λ1=510  nm; the orange ones represent transmission at λ2=720  nm, while H3 is obtained by the exclusive (XOR) operation of H1 and H2. That is H1=H2∪H3. The arrows indicate the incident and transmitted polarization selection.

Fig. 2. Flowchart of correlated Gerchberg–Saxton (CGS) holographic algorithm. (a) Binary amplitude holographic CBGS algorithm. (b) Traditional phase hologram generation by GS algorithm. (c) Flowchart of correlated triple hologram algorithm with rigorous mathematical relations.

Fig. 3. Three kinds of selected nanofins. (a) Three optimized nanofins, with one anisotropic cross-section and two isotropic cross-sections. (b) Intensity map of swept square length. (c)–(e) Co- and cross-polarization transmission (Tll, Trl) efficiency curves of three units. Two green dotted lines mark the two working wavelengths. (f), (g) Encoding three kinds of nanofins to form the correlated amplitude and phase holograms.

Fig. 4. Metasurface samples and experimental optical setup. (a) and (b) Scanning electron microscope (SEM) images with top view and 45° tilt view, scale bar: 4 μm. (c) Experimental optical setup: LP1, LP2, linear polarizer; QWP1, QWP2, quarter-wave plate; CMOS, complementary metal-oxide-semiconductor. (d) Co-polarization and cross-polarization transmission efficiency of metasurface sample.

Fig. 5. Simulations and experimental results of triple amplitude phase holography using different wavelength and polarization combinations. (a) Simulation in co-polarization Tll, at λ1=510  nm. (b) Simulation in co-polarization Tll, at λ2=720  nm. (c) Simulation in cross-polarization Trl, at λ2=720  nm. (d) Experimental result in co-polarization Tll, at λ1=510  nm. (e) Experimental result in co-polarization Tll, at λ2=720  nm. (f) Experimental result in cross-polarization Trl, at λ2=720  nm.

Fig. 6. Simulations and experimental results of triple amplitude phase holography of the new sample using different wavelength and polarization combinations. (a) Simulation in co-polarization Tll, at λ1=510  nm. (b) Simulation in co-polarization Tll, at λ2=720  nm. (c) Simulation in cross-polarization Trl, at λ2=720  nm. (d) Experimental result in co-polarization Tll, at λ1=510  nm. (e) Experimental result in co-polarization Tll, at λ2=720  nm. (f) Experimental result in cross-polarization Trl, at λ2=720  nm.

Fig. 7. Experimental results of broadband holographic reconstruction of Sample 1 in far-field co-polarization (Tll) channel.

Fig. 8. Experimental results of broadband holographic reconstruction of Sample 2 in far-field co-polarization (Tll) channel.

Fig. 9. Experimental results of broadband holographic reconstruction of Sample 1 in far-field cross-polarization (Trl) channel.

Fig. 10. Experimental results of broadband holographic reconstruction of Sample 2 in far-field cross-polarization (Trl) channel.