Exploiting Analytic Transfer Matrices to Engineer Resonances in Patterned Dielectric Periodic Surfaces

Designing periodic structures with prescribed resonant frequencies is a difficult task if a theoretical model is unavailable. In this paper, it is shown that analytic transfer matrices can be used to engineer resonance properties of an all-dielectric periodic 2D structure that exhibits a sharp transition in reflection-transmission properties at resonance frequencies in the range 1500–1800 GHz, dependent on the angle of incidence of electromagnetic waves between 5 and 85 degrees. The operation of the structure is assessed by full-wave simulation. The proposed all-dielectric periodic surface has potential application to sensors.