An Accurate Semi-Analytical Model for Periodic Tunable Metasurfaces Electromagnetic Response

Tunable metasurfaces, that is, 2D metamaterial structures with programmable functionalities have been a significant subject of research. The consideration of non-local effects in metasurfaces has been proven to be highly important in modeling the electromagnetic response of such structures. In this paper a highly accurate semi-analytical model is presented, taking into consideration the non-local effects of a periodic metasurface. The model is validated through comparison with full wave simulations of tunable metasurfaces' supercells, providing accurate calculations of the radiating Floquet modes. The efficiency of the proposed model allows optimization algorithms to run fast, without multiple repeats of full wave simulations, rendering an effortless extraction of the tunable variables' pattern for the desired response. This advantage is used for the design of programmable anomalous reflectors' for V2X communications.