Analysis of inhomogeneous meta-surfaces under oblique incidents

Abstract

A semi-analytical method for analyzing inhomogeneous meta-surfaces under oblique incidence based on the polarizabilities of constituent particles and interaction constants is presented. The inhomogeneity is proposed in which a meta-surface is considered as a periodic array of repetitive super-cells. Our proposed method provides effective polarizabilities and therefore it gives a comprehensive view of meta-surface behavior. To validate our proposed method, several examples are illustrated, which include different cases of isotropic and bi-anisotropic arrays. In the first example, an array of different sizes of Gold spherical Nano-particles is considered. In the second example, a combined array of Gold (Plasmonic) and Si (dielectric) particles is analyzed and the third example includes an array of different sizes of mutually coupled Gold Nano-disks. The effective polarizabilities of all these arrays are computed under the illumination of oblique incident waves with different incident angles. The accuracy of this method is verified by comparing the computed reflection and transmission coefficients to the results produced by the HFSS software.