Calculation of reciprocal velocity curves of intrinsic surface acoustic wave in quartz crystal

Abstract

Quartz crystal has excellent piezoelectric properties, it can be used as substrates of surface acoustic wave (SAW) devices, for example delay line, filter, oscillator, convolver, acousto-optic (AO) device and so on. In this paper, Intrinsic SAW basic equation group and SAW mechanical boundary condition equation group are deduced from character equation of the crystal. Intrinsic SAW velocities are calculated using circle iterative method in three coordinate planes of quartz crystal systematically. Stiffness coefficient of piezoelectric crystal can be changed by piezoelectric effect and it is named as piezoelectric modified stiffness coefficient. Reciprocal velocity curves of quartz crystal in the three coordinate planes using the non-modified stiffness coefficients and the piezoelectric modified stiffness coefficients are drawn respectively. Configurations and periods of the curves are similar to projection figures of crystal lattice of the triangle crystal system in same coordinate planes. It means that there is internal relationship between the SAW properties and point group symmetries of the crystal. Research results lay a solid base for design and manufacture of the SAW device. It has theoretical significance and practical value.