On Weakly Coupled Resonant MEMS Transducers Operating in the Modal Overlap Regime

Hemin Zhang*, Milind Pandit, Jiangkun Sun, Dongyang Chen, Guillermo Sobreviela, Chun Zhao, Ashwin A. Seshia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Miniaturized physical transducers based on weakly coupled resonators have previously demonstrated the twin benefits of high parametric sensitivity and the first-order common-mode rejection of environmental effects. Current approaches to sensing based on coupled resonator transducers employ strong coupling where the modal overlap of the responses is avoided. This strong coupling limits the sensitivity for such mode-localized sensors that utilize an amplitude ratio (AR) output metric as opposed to tracking resonant frequency shifts. In this article, this limitation is broken through by theoretically and experimentally demonstrating the operation of the weakly coupled resonators in the weak-coupling (modal overlap) regime. Especially, a prototype microelectromechanical systems (MEMS) sensor based on this principle is employed to detect shifts in stiffness, with a stiffness bias instability of 10.3\mu \text{N} /m (9.5 ppb) and a corresponding noise floor of 7.1\mu \text{N} /m/ \surd Hz (6.8 ppb/ \surd Hz). The linear dynamic range of such AR readout sensors is first explored and found to be defined by the dynamic range of the secondary resonator. The proposed method provides a promising approach for high-performance resonant force and inertial sensors.

Original languageEnglish
Article number9212390
Pages (from-to)1448-1457
Number of pages10
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume68
Issue number4
DOIs
Publication statusPublished - 5 Oct 2020

Bibliographical note

Funding Information:
Manuscript received August 14, 2020; accepted September 30, 2020. Date of publication October 5, 2020; date of current version March 26, 2021. This work was supported in part by Innovate U.K., in part by the Natural Environment Research Council, U.K., and in part Silicon Microgravity. This article was presented at the 2020 IEEE 33rd International Conference on Micro Electro Mechanical Systems (MEMS) [1]. (Corresponding author: Hemin Zhang.) Hemin Zhang, Jiangkun Sun, Dongyang Chen, and Ashwin A. Seshia are with The Nanoscience Centre, Department of Engineering, University of Cambridge, Cambridge CB3 0FF, U.K. (e-mail: hz358. .

Publisher Copyright:
© 1986-2012 IEEE.

Keywords

  • Amplitude ratio (AR)
  • modal overlap
  • vibration mode localization
  • weakly coupled resonators

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