Effects of rotation on a phononic crystal operated in whispering gallery modes

In this paper, the effects of rotation on a phononic crystal (PnC) operated in whispering-gallery modes (WGMs) are investigated for the first time. According to the results of a finite element method, the vibration pattern of the WGMs under the action of rotation will undergo a linear precession with the integral of rotation, which agrees with the theoretical models. In addition, the precession of WGMs will linearly induce a phase difference between the transmissive waves with a fixed phase gain. The difference displacement is utilized to characterize the effects of rotation on the transmissive wave, showing periodicity, linearity, and directionality as theoretical predictions. These findings offer a rate-integrating scheme to sense rotation and have promising applications, especially in high-performance SAW gyroscopes.