Distribution of Deformations in the Oscillating X-Ray Acoustic Element Based on the X-Cut Quartz Crystal

Abstract

The mechanical deformations in the quartz X-ray acoustic element arising by the excitation of resonant thickness ultrasound oscillations are investigated experimentally and theoretically. Experiments were carried out using the X-ray topography and double-crystal diffractometry, and theoretical computations were performed using the mathematical modeling by the finite element method. It follows from the computations that the mechanical deformation arising in the resonator as a result of the excitation of thickness variations, is strongly stratified and represents a series of maxima, the distance between which depends on the crystallographic direction. The large number of nodes and antinodes of the oscillations directly depends on the resonant frequency of the X-ray acoustic element. The obtained experimental results are in good agreement with theoretical computations.