Analytical circuit modeling of 1D and 2D planar metal gratings embedded in stratified dielectric structures

The development of circuit-like models for the study of periodic 1D and 2D distributions of planar metallic scatterers has a long tradition in the microwaves and antenna literature, specially in the frame of the characterization of frequency-selective surfaces. In recent years, there have been developed improved models that account for extraordinary transmission/reflection phenomena and incorporate the presence of finite thickness dielectric slabs in a very accurate manner. The topology and parameters of these models are systematically derived from simplified integral equation formulations, which give rise to equivalent circuits that overcome some drawbacks of commonly used circuit analogues. In particular, dynamic effects related to the presence of the finite thickness slabs and higher-order mode interactions are accounted for.