Abstract

The homogenization of the transverse parameters of metasurfaces is introduced through the concept of covariant permittivity tensor averaging. The proposed scheme is based on a covariant form of Maxwell’s equations written in the matched coordinates system. Therefore, the average characteristics of the periodic structure take into account not only all of the physical boundary conditions, but also the geometrical details of the periodic structure that affect the electromagnetic field propagation. The proposed method is successfully applied to analyze the extraordinary optical transmission through a thick layer subwavelength periodic annular slit array.

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