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Optimal operating points of oscillators using nonlinear resonators

Kenig, Eyal and Cross, M. C. and Villanueva, L. G. and Karabalin, R. B. and Matheny, M. H. and Lifshitz, Ron and Roukes, M. L. (2012) Optimal operating points of oscillators using nonlinear resonators. Physical Review E, 86 (5). Art. No. 056207. ISSN 1539-3755. PMCID PMC3839322. https://resolver.caltech.edu/CaltechAUTHORS:20121219-133958687

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Abstract

We demonstrate an analytical method for calculating the phase sensitivity of a class of oscillators whose phase does not affect the time evolution of the other dynamic variables. We show that such oscillators possess the possibility for complete phase noise elimination. We apply the method to a feedback oscillator which employs a high Q weakly nonlinear resonator and provide explicit parameter values for which the feedback phase noise is completely eliminated and others for which there is no amplitude-phase noise conversion. We then establish an operational mode of the oscillator which optimizes its performance by diminishing the feedback noise in both quadratures, thermal noise, and quality factor fluctuations. We also study the spectrum of the oscillator and provide specific results for the case of 1/f noise sources.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevE.86.056207 DOIArticle
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3839322/PubMed CentralArticle
https://arxiv.org/abs/1211.1088arXivDiscussion Paper
ORCID:
AuthorORCID
Matheny, M. H.0000-0002-3488-1083
Lifshitz, Ron0000-0002-8829-5506
Roukes, M. L.0000-0002-2916-6026
Additional Information:© 2012 American Physical Society. Received 16 August 2012; published 13 November 2012. This research was supported by DARPA through the DEFYS program.
Funders:
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Issue or Number:5
Classification Code:PACS: 05.45.-a, 85.85.+j, 62.25.-g, 47.52.+j
PubMed Central ID:PMC3839322
Record Number:CaltechAUTHORS:20121219-133958687
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20121219-133958687
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:36055
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Dec 2012 21:46
Last Modified:09 Mar 2020 13:19

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