  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.
