Plane wave scattering from frequency-selective surfaces by the finite-element method

This paper presents the application of the finite-element method (FEM) to the analysis of reflection and transmission coefficients, effective permittivity, and permeability of periodic structures to incident plane waves. The problem domain is reduced to a unit cell by using linked boundary conditions (LBCs) and the accuracy and efficiency of the procedure is improved by using the scattered field formulation and perfectly matched layers (PMLs). Examples of the analysis of frequency-selective surfaces (FSSs) derived from photonic bandgap materials (PBGs) and composite materials with negative effective permeability and permittivity are presented.