Analytical modelling and experimental verification of Fabry-Pérot resonances in multilayer sub-wavelength partially-reflecting surfaces

Transmission through stacked perforated metallic screens (2-D metallic meshes) printed on thin dielectric layers is studied at microwave frequencies using simple circuit models. The physical mechanisms of the transmission resonances are clearly explained and the most relevant parameters of the circuit are accurately determined. The results of the circuit model are tested by a proper comparison with previously obtained numerical and experimental results. The observed transmission peaks and lower/upper frequency band edges of the pass-band are explained in terms of the behaviour of a finite number of strongly coupled Fabry-Pérot resonators using the circuit model.