Stroboscopic X-ray topography of quartz resonators

AT-cut quartz resonators containing dislocations, etch channels or growth bands have been studied by stroboscopic X-ray topography using synchrotron radiation. Experimental images and simulated ones presented here show that the acoustic wave is perturbed in the vicinity of dislocations and indicate that nonlinear terms have to be considered to describe the acoustic deformation field near dislocations. Similar experimental results were obtained in vibrating resonators containing etch channels and suggest that the influence of etch channels may be more important than that of dislocations. Classic X-ray topographs using the synchrotron radiation are also presented to show coupled modes in AT-cut quartz resonators. In particular the u₂ and u₃ components of the acoustic displacement were visualized simultaneously with the main thickness-shear component u ₁. An interesting mechanism of the mode coupling was evidenced