Academic Journal
On the effect of linear feedback and parametric pumping on a resonator’s frequency stability
| Title: | On the effect of linear feedback and parametric pumping on a resonator’s frequency stability |
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| Authors: | Zohreh Mohammadi, Toni L Heugel, James M L Miller, Dongsuk D Shin, Hyun-Keun Kwon, Thomas W Kenny, Ramasubramanian Chitra, Oded Zilberberg, Luis Guillermo Villanueva |
| Source: | New Journal of Physics, Vol 22, Iss 9, p 093049 (2020) |
| Publisher Information: | IOP Publishing, 2020. |
| Publication Year: | 2020 |
| Collection: | LCC:Science LCC:Physics |
| Subject Terms: | resonant sensors, MEMS, NEMS, feedback Q control, parametric pumping, Science, Physics, QC1-999 |
| More Details: | 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 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. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English |
| ISSN: | 1367-2630 |
| Relation: | https://doaj.org/toc/1367-2630 |
| DOI: | 10.1088/1367-2630/abb1dd |
| Access URL: | https://doaj.org/article/82cb00b940224f279d9ddfee5fbfaae3 |
| Accession Number: | edsdoj.82cb00b940224f279d9ddfee5fbfaae3 |
| Database: | Directory of Open Access Journals |
| ISSN: | 13672630 |
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| DOI: | 10.1088/1367-2630/abb1dd |
| Published in: | New Journal of Physics |
| Language: | English |