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On the effect of linear feedback and parametric pumping on a resonator's frequency stability

Mohammadi, Z ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1088/1367-2630/abb1dd
  3. Publisher: IOP Publishing Ltd , 2020
  4. Abstract:
  5. Resonant sensors based on micro- A nd nano-electro mechanical systems (M/NEMS) are ubiquitous in many sensing applications due to their outstanding performance capabilities, which are directly proportional to the quality factor (Q) of the devices. We address here a recurrent question in the field: Do dynamical techniques that modify the effective Q (namely parametric pumping and direct drive velocity feedback) affect the performance of said sensors? We develop analytical models of both cases, while remaining in the linear regime, and introduce noise in the system from two separate sources: Thermomechanical and amplifier (read-out) noise. We observe that parametric pumping enhances the quality factor in the amplitude response, but worsens it in the phase response on the resonator. In the case of feedback, we find that Q is enhanced in both cases. Then, we establish a solution for the noisy problem with direct drive and parametric pumping simultaneously. We also find that, in the case when thermomechanical noise dominates, no benefit can be obtained from either artificial Q-enhancement technique. However, in the case when amplifier noise dominates, we surprisingly observe that a significant advantage can only be achieved using parametric pumping in the squeezing region. © 2020 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft
  6. Keywords:
  7. Feedback Q control ; MEMS ; NEMS ; Resonant sensors ; Parametric amplifiers ; Resonators ; Thermomechanical treatment ; Amplitude response ; Nano electromechanical systems ; Parametric pumping ; Performance capability ; Q-enhancement techniques ; Sensing applications ; Thermomechanical noise ; Velocity feedback ; Feedback
  8. Source: New Journal of Physics ; Volume 22, Issue 9 , September , 2020
  9. URL: https://iopscience.iop.org/article/10.1088/1367-2630/abb1dd