Fig. 1. Generalized Snell's law^{[9, 39]}

Fig. 2. (a), (b) Complex refractive indices of TiO₂ and Poly–Si in visible light band^[46-47]; (c) Schematic illustration of a metasurface element with rectangle geometry

Fig. 3. Holographic display realized by dielectric metasurfaces with (a) transmission phase^[54] ; (b) Geometric phase^[46] modulations; (c) Multi-wavelength color holographic display^[55]

Fig. 4. (a-c) Experimentally reconstructed holographic patterns at the wavelengths of 633 nm, 532 nm, and 488 nm, respectively; (d) Picture quality evaluation indices. OP: Original pattern, SP: numerically reconstructed pattern, EP: experimentally reconstructed pattern. The pentagrams in the graph depict the picture quality evaluation indices of the GS algorithm with 50 iterations; (e) Annual amplitude and first-order vortex phase (inset) distributions of target field; (f) Observed interferogram and demodulated amplitude (upper inset) and phase (lower inset) distributions

Fig. 5. (a) Schematic of generating polarization-switchable optical vortex topologies via a holographic all-dielectric metasurface; (b) and (d), (c) and (e) Interferograms and reconstructed intensity and phase (insets) distributions of Trefoil knotted and Hopf linked fields at the z=0 plane, respectively; (f) and (g) Experimentally reconstructed configurations of Trefoil knot and Hopf link

Fig. 6. (a) Transmission amplitudes of selected geometries for the amplitude modulation; (b) Amplitude and phase distributions of the mask generated from spatial spectrum optimization; (c), (d) Experimentally measured 3D intensity distributions of two non-diffractive fields with uniform and oscillating profiles, respectively