Abstract :
The modeling of 1D and 2D distributions of planar metallic scatterers (strips or patches) or apertures (slits or slots) made in thin metal screens has been carried out by using a variety of quasi-analytical to purely numerical methods along several decades. The advantages of analytical approaches are obvious, but their scope use to be limited to a number of relatively simple situations. The analytical or quasi-analytical point of view has been traditionally associated with the development of circuit models, and this is still an active research area (R. Rodríguez-Berral et al., IEEE Trans. Mic. Theory Tech., 60, 2012, pp. 3908–3918; F. Costa et al., IEEE Trans. Antennas & Propagat., 61, 2013, pp. 1201–1209). One the typical restrictions of most circuit models available in the literature is that they are conceived for structures excited by plane waves impinging normally or along principal planes of symmetry of periodic distributions of highly symmetrical scatterers. As a result, the reflected and transmitted zeroth-order plane wave has the same polarization as the incident wave. In such cases the equivalent circuits have a single input and a single output transmission line. Moreover, the effect of the scatterers use to be embedded in simple frequency-independent lumped circuits made of inductors, capacitors and, if required, resistors.
