Simulation of dielectric resonator for high-T_c radio frequency superconducting quantum interference device

Nowadays, the high-critical-temperature radio frequency superconducting quantum interference device (high-T_\rm c rf SQUID) is usually coupled to a dielectric resonator that is a standard 10\times 10\times 1 mm³ SrTiO₃ (STO) substrate with a YBa₂Cu₃O_7 - \delta (YBCO) thin-film flux focuser deposited on it. Recently, we have simulated a dielectric resonator for the high-T_\rm c rf SQUID by using the ANSOFT High Frequency Structure Simulator (ANSOFT HFSS). We simulate the resonant frequency and the quality factor of our dielectric resonator when it is unloaded or matches a 50-\Omega impedance. The simulation results are quite close to the practical measurements. Our study shows that ANSOFT HFSS is quite suitable for simulating the dielectric resonator used for the high-T_c rf SQUID. Therefore, we think the ANSOFT HFSS can be very helpful for investigating the characteristics of dielectric resonators for high-T_c rf SQUIDs.