Vibrational resonance and antiresonance in a membrane-in-the-middle optomechanical system

Abstract

We investigated the phenomena of VR and VAR in a membrane-in-the-middle optomechanical system driven by a coherent optical field, weak low-frequency mechanical signal, and strong high-frequency mechanical signal. The method of direct separation of fast and slow motions was used to derive an analytical expression for the response amplitude $Q$ to the low-frequency signal, which was consistent with numerical simulations in the low-response regime. The numerical results demonstrated that the low-frequency signal was significantly amplified by the high-frequency signal via the VR mechanism. Furthermore, we numerically observed the emergence of VAR, which considerably suppressed the weak signal across a wide range of amplitudes of the high-frequency signal. These findings provide theoretical guidance for controlling the amplification and suppression of weak force signals in optomechanical systems, with potential applications in precision sensing and signal processing.