Optomechanical gyroscope with parametric resonance

Optomechanical gyroscopes offer a promising route toward compact and high-precision rotation sensing; however, their performance is often limited by signal-to-noise ratio (SNR). In this work, we propose a parametric-resonance-enhanced optomechanical gyroscope in which the stiffness of the mechanical resonator is sinusoidally modulated at twice its natural frequency. Under optimal modulation conditions, parametric resonance leads to a significant amplification of the Coriolis-force-induced mechanical response, thereby enhancing the detected gyroscopic signal. Theoretical analysis demonstrates that, under appropriate stiffness modulation conditions, the SNR of the gyroscope can be doubled. Simulations further confirm that the increase in signal power due to parametric resonance substantially exceeds the growth in noise power. As a result, the gyroscope becomes capable of detecting angular velocities that were previously beyond its resolution. This work proposes what we believe to be a novel strategy for the development of high-precision, miniaturized optomechanical gyroscopes.