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research article

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

Mohammadi, Zohreh  
•
Heugel, Toni L.
•
Miller, James M. L.
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September 1, 2020
New Journal Of Physics

Resonant sensors based on micro- and 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 effectiveQ(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 thatQis 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 artificialQ-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.

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Type
research article
DOI
10.1088/1367-2630/abb1dd
Web of Science ID

WOS:000575215400001

Author(s)
Mohammadi, Zohreh  
Heugel, Toni L.
Miller, James M. L.
Shin, Dongsuk D.
Kwon, Hyun-Keun
Kenny, Thomas W.
Chitra, Ramasubramanian
Zilberberg, Oded
Villanueva, Luis Guillermo  
Date Issued

2020-09-01

Published in
New Journal Of Physics
Volume

22

Issue

9

Article Number

093049

Subjects

Physics, Multidisciplinary

•

Physics

•

resonant sensors

•

mems

•

nems

•

feedback q control

•

parametric pumping

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noise

•

oscillator

•

sensors

Note

Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence.

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

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Available on Infoscience
October 17, 2020
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/172597
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