Design of highly transmissive all-dielectric metasurface based on silicon nanodisks

Using the developed discrete dipole approximation method, we investigate the behavior of silicon nanodisks acting as Huygens sources. First, we study the correlation between the radius of a silicon nanodisk and its electric resonance and also between the height of a nanodisk and its magnetic resonance and find a significant correlation between them. Then, we investigate the transmission of an array of silicon nanodisks. Using the overlap between the electric and magnetic resonances, we obtain a nearly perfect impedance match between the environment and silicon nanodisk array. We achieve a transmission above 99% over the entire phase range of 0-2π radians at the wavelength of 1190 nm. Our results can be extended to microwave, terahertz and optical frequencies and be used to design metasurfaces for different applications such as beam shaping lenses, beam deflectors and holograms.