Evaluation of the Electric Polarizability for Planar Frequency Selective Arrays

This paper presents a method to estimate the static electric polarizability of two-dimensional infinitely periodic metal patch arrays with dielectric substrate. The main features of the proposed method is its numerical efficiency and a deep insight into the physics of the fields interacting with the structure. We provide derivation and analysis of the method, and its verification against two another commercial solver-based approaches for various structure geometries. Additionally, we suggest the guidelines for applying the method to bandwidth optimization of frequency selective structures and illustrate this with an example.