An analysis of frequency spectrum of the convex piezoelectric resonator of thickness-shear vibrations

The mathematical model is discussed of the lateral field excited crystal resonator employing thickness-shear vibrations of the even anharmonic mode. The resonator is combined with a convex piezoelectric plate and with two one-sided electrodes of the relevant shape. The influence of the electrode boundaries on the frequency spectrum is taken into account based on perturbation theory, which allows consideration of arbitrary electrode shapes. We show that the theoretical model fits well with the experimental data provided in ITR for the crystal resonator with lateral excitation field.