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The constitutive effective parameters of two-dimensional multilayered dielectric grating slab

The 2D regular lattice of multilayered dielectric resonant inclusions made from different dielectric and/or magnetic material embedded in the slab is considered in this paper. An equivalent magneto-dielectric slab is found using the first-principles homogeneous theory for extracting the effective permittivity and permeability. Example is presented to study the relationship between the physical parameters of multilayered dielectric inclusions arranged in 2D lattice and their effective parameters. This study can be used as a tool for designing metamaterials with negative permittivity and/or permeability using multilayered dielectric grating slab.