Resonant Frequencies of Circular Substrate Integrated Resonators

In this letter, the characterization of circular resonators realized in substrate integrated waveguide technology is presented. Resonances are found by setting up the equations of the scattering for an ensemble of metallic posts in parallel plates waveguide and considering the nontrivial solution to the corresponding homogeneous problem. Resonant frequencies are then located by means of an efficient strategy, based on an estimate of the minimum singular value. In the last part of the letter a data fit formula of practical use is presented for circular resonators with a wide range of geometrical and electrical parameters resonating on TM₀₁₀ and TM₁₁₀ modes.