Numerical method for computing the resonant frequencies and Q-factor in microwave dielectric resonator

The dielectric resonators (DRs) with dielectric properties are widely used in microwave integrated circuit (MICs) and monolithic microwave integrated circuits (MMICs). The variational method as numerical simulation scheme would be applied to calculate the resonant frequencies(f_r) and Q-factors of microwave dielectric resonators. The dielectric resonator with a cylindrical “puck” structure of high dielectric material is modeled in this simulation. The parameters, such as the diameter, the height, and the dielectric constant of dielectric resonator, would determine the resonant frequency and the and Q-factor. The relationship between these parameters would effect each other to evaluate the approximate resonant frequency. This simulation method by the variational formula is very effective to calculate f_r and Q-factor in high frequency microwave dielectric resonator. The error rate of the simulation results and the measured results would be considered to design the microwave dielectric resonators