Spectral-domain analysis of frequency selective surfaces comprised of periodic arrays of cross dipoles and Jerusalem crosses

TLDR

The study presents a full‑wave spectral‑domain analysis of scattering from frequency‑selective surfaces composed of periodic arrays of cross dipoles and Jerusalem crosses. The authors formulate the problem in the spectral domain, reducing the convolution integral equation to an algebraic form, solve it with Galerkin’s method, and employ entire‑domain junction basis functions to capture current discontinuities at the cross junctions. The resulting method is computationally efficient and its accuracy is confirmed by close agreement between theoretical predictions and experimental data reported by other researchers.

Abstract

A full-wave analysis for the problem of scattering frequency selective surfaces from (FSS) comprised of periodic arrays of cross dipoles and Jerusalem crosses is presented. The formulation is carried out in the spectral domain where the convolution form of the integral equation for the induced current is reduced to an algebraic one. The equation is then solved using the Galerkin's procedure applied in the spectral domain. A set of entire-domain type "junction basis functions," which, is demonstrated in this paper to be essential to account correctly for the discontinuous nature of the induced current at the junction of the cross, is included in the expansion for the unknown induced current. This analysis is computationally efficient, and its accuracy is verified by the agreement between the computed theoretical data and the experimental results reported by other authors.