Quasicrystal metasurface for dual functionality of holography and diffraction generation

Quasicrystal has attracted lots of attention since its discovery because of the mathematically non-periodic arrangement and physically unique diffraction patterns. By combining the quasi-periodic features of quasicrystal and the special rotational symmetry with metasurface, many novel phenomena and applications are proposed such as optical spin-Hall effect, non-linear far-field radiation control, and broadband polarization conversion. However, the additional functions and effects brought by phase and amplitude modulation on quasicrystal arrangement still lack research. Here, we design and fabricate a dielectric quasicrystal metasurface which can simultaneously reconstruct holographic images and exhibit diffraction patterns by assembling the nanostructures in a quasi-periodic array. Most importantly, we combine the global arrangement of metasurfaces with the local responses (phase and amplitude) of meta-atoms for achieving the dual functionality. Furthermore, we also suppress the zero diffraction order in the far-field based on the quasi-momentum matching rule. The proposed method has great mathematical importance and explores new possibilities for multifunctional meta-devices for holographic display, optical switching and anti-counterfeiting.