Broadband permittivity and loss tangent measurements using a split-cylinder resonator

We summarize a theoretical model for the split-cylinder resonator, based on the mode-matching method, for non-destructively measuring permittivity and loss tangent with the split-cylinder resonator. This new model correctly accounts for the fringing electric and magnetic fields, thereby improving the measurement accuracy of the technique. Previously, the split-cylinder resonator has been used for single-frequency permittivity and loss tangent measurements using only the fundamental TE 011 resonant mode. Using higher-order TE 0np modes, we demonstrated how to measure the permittivity and loss tangent of dielectric substrates over an extended frequency range. We validated the new model by measuring the permittivity and loss tangent from 10 to 50 GHz of fused-silica substrates and compared them with measurement data obtained with a circular-cylindrical cavity, a dielectric-post resonator, and several split-post resonators.