Analytical Modeling of Microwave Transmission Through Metasurfaces Made of Perforated Metal Plates, Arrays of Metal Patches, and Wire Grids

The availability of accurate analytical models for the prediction of microwave transmission through subwavelength metasurfaces is of particular interest in the design phase for performance optimization. To this purpose, this article proposes new analytical expressions of the effective admittance of both the inductive and capacitive screens. The effective capacitance of a periodic array of metal patches on a dielectric layer is obtained as a function of the effective inductance of the complementary surface made of a period array of square apertures on a metal plate. The effective inductance of a wire grid is given from the one of the equivalent mesh strip grid, performing the same transmission and reflection characteristics. The proposed formulations are applied to the prediction of the microwave transmission performances of the considered screen configurations. The obtained results are validated by comparison with the ones given by a full-wave numerical code and with data reported in the literature.