P1F-2 Effects of Electromagnetic Radiation on the Q of Quartz Resonators

Two finite element models of a resonator were employed to investigated electromagnetic radiation on the resonator Q. The two models employed the governing equations for viscopiezoelectricity and viscopiezoelectromagnetism, respectively. The models showed decreasing Q with frequency increase. The Q of the viscopiezoelectric model compared well with the empirical formula for the Q of quartz AT-cut resonators. At frequencies in excess of 2 GHz, the Q of the viscopiezoelectromagnetic model showed increasing difference from the Q of the viscopiezoelectric model. The electromagnetic radiation loss took up an increasing percentage in the loss of Q with frequency increase in excess of 2 GHz. At 3.3 GHz, it took up about 14% of the loss in Q.