Entire-Domain Basis Function MoM Formulation for a Substrate Backed Periodically Loaded Array of Narrow Strips

Wait´s entire-domain basis function method of moments matrix formulation for modeling scattering from periodically loaded wires in free space is modified using the current edge approximation and extended to include a multilayer substrate. From this matrix formulation, novel analytical formulations for the current and the effective transfer impedance are obtained. The convergence of the matrix and analytical formulations is improved with the aid of an expression by VanKoughnett. Furthermore, for the case of an electrically dense array, the analytical expression of the effective transfer impedance leads to a simple impedance model which is more general than previously published expressions.