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

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  • Fu, Xin
  • Wu, Shan
  • Li, Cuicui
  • Xie, Min
  • Duan, Zhenglu
  • Fan, Bixuan

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.

Suggested Citation

  • Fu, Xin & Wu, Shan & Li, Cuicui & Xie, Min & Duan, Zhenglu & Fan, Bixuan, 2025. "Vibrational resonance and antiresonance in a membrane-in-the-middle optomechanical system," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
  • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006654
    DOI: 10.1016/j.chaos.2025.116652
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    References listed on IDEAS

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    1. J. D. Thompson & B. M. Zwickl & A. M. Jayich & Florian Marquardt & S. M. Girvin & J. G. E. Harris, 2008. "Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane," Nature, Nature, vol. 452(7183), pages 72-75, March.
    2. Wang, Peiyu & Zhang, Mei, 2021. "Passive synchronization in optomechanical resonators coupled through an optical field," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    3. Lukas Tenbrake & Alexander Faßbender & Sebastian Hofferberth & Stefan Linden & Hannes Pfeifer, 2024. "Direct laser-written optomechanical membranes in fiber Fabry-Perot cavities," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
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