Modification of meta-film surface impedance expression for accurate scattering analysis of meta-surface using equivalent transmission line model

Abstract

Scattering properties of meta-surfaces for plane wave incidences can successfully be analyzed using their own transmission line models (TLMs). The main idea of the TLM is the decomposition of a periodic structure into a frequency selective surface (FSS) or a meta-film and dielectric slab as a spacing medium between the FSS and a ground plane. Hence, how precisely obtain the scattering property of the FSS is one of essential points. This paper modifies a surface impedance expression of the FSS composed of square patch array so as to enable us to apply for general case, and incorporates it into the equivalent transmission line model of the meta-surface. The effectiveness of the proposed model is numerically confirmed by comparing with the FDTD calculation.