Rigorous analysis of scattering by a periodic array of cylindrical objects

Periodic arrays of cylindrical objects are widely used as the wavelength selective or polarization selective components in microwave and optical wave regions. Various theoretical approaches have been developed to solve the periodic boundary-value problems. The generalized recursive algorithm (T-matrix approach) can be applied to analyze a periodic array. In this case, the scattered fields are calculated using the T-matrix of the isolated group of scatterers within the unit cell of an array and the lattice sums characterizing the periodic configuration. Recently, an efficient and accurate method to calculate the lattice sums was presented. According to this method, the lattice sums are evaluated using an integration of elementary functions that give a possibility to reduce the computation time substantially. In this paper, we present an algorithm connecting the T-matrix representation for group scatterers and the lattice sums, that is attractive from the practical point of view for obtaining the desired frequency or polarization selective characteristics. We applied this algorithm to study the scattering properties of various arrays composed of periodic cells, containing two circular cylindrical objects, which can be dielectric, metallic or a mixture of both and different dimensions.