Homogenization of All-Dielectric Metasurfaces: Theory and Applications

In this contribution, we describe a simple and powerful analytical approach to homogenize all-dielectric metasurfaces. The proposed model is based on a combination of the Mie scattering theory of the individual scatterer with a bi-dimensional homogenization approach accounting for the interaction between the electric and magnetic dipoles excited by the external field. Through full-wave simulations, we show that the proposed approach is able to effectively characterize the electromagnetic response of an array of Mie resonators, even for small inter-element separation distances. Several applications of analytically-designed all-dielectric metasurfaces at optical and microwave frequencies are also discussed.