Parametric Amplification of Acoustically Actuated Micro Beams Using Fringing Electrostatic Fields

Stella Lulinsky, Ben Torteman, Bojan R. Ilic, Slava Krylov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We report on theoretical and experimental investigation of parametric amplification of acoustically excited vibrations in micromachined single-crystal silicon cantilevers electrostatically actuated by fringing fields. The device dynamics are analyzed using the Mathieu–Duffing equation, obtained using the Galerkin order reduction technique. Our experimental results show that omnidirectional acoustic pressure used as a noncontact source for linear harmonic driving is a convenient and versatile tool for the mechanical dynamic characterization of unpackaged, nonintegrated microstructures. The fringing field’s electrostatic actuation allows for efficient parametric amplification of an acoustic signal. The suggested amplification approach may have applications in a wide variety of micromechanical devices, including resonant sensors, microphones and microphone arrays, and hearing aids. It can be used also for upward frequency tuning.

Original languageEnglish
Article number257
Issue number2
StatePublished - Feb 2024


FundersFunder number
Henry and Dinah Krongold of Microelectronics
Ministry of Science, Technology and Space3-14411


    • acoustic sensor
    • cantilever
    • electrostatic actuation
    • MEMS
    • parametric amplification


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