Quantification of the transmission properties of metasurfaces illuminated by finite-size beams

The aim of this letter is to {present analytical method to} quantitatively address the influence of a focusing illumination on the transmission /reflection properties of a {metasurface illuminated by a finite-size beam}. In fact, most theoretical and numerical studies are performed by considering an infinite periodic structure illuminated by a plane wave. In practice, one deals with a finite-size illumination and structure. Combination of the angular spectrum expansion with a monomodal modal method is performed to determine the beam size needed to acquire efficient properties of a Metasurface that behaves as Anisotropic Plate MAP Interesting results show that the beam-size can be as small as 5X5 periods to recover the results of a plane wave. Other results also show that the beam-size could be used as an extrinsic parameter to enhance the MAP performance and to finely adjust its expected properties (birefringence and/or transmission coefficient).