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Surpassing Fundamental Limits of Oscillators Using Nonlinear Resonators

Villanueva, L. G. and Kenig, E. and Karabalin, R. B. and Matheny, M. H. and Lifshitz, Ron and Cross, M. C. and Roukes, M. L. (2013) Surpassing Fundamental Limits of Oscillators Using Nonlinear Resonators. Physical Review Letters, 110 (17). Art. No. 177208. ISSN 0031-9007. PMCID PMC3839326. doi:10.1103/PhysRevLett.110.177208.

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In its most basic form an oscillator consists of a resonator driven on resonance, through feedback, to create a periodic signal sustained by a static energy source. The generation of a stable frequency, the basic function of oscillators, is typically achieved by increasing the amplitude of motion of the resonator while remaining within its linear, harmonic regime. Contrary to this conventional paradigm, in this Letter we show that by operating the oscillator at special points in the resonator’s anharmonic regime we can overcome fundamental limitations of oscillator performance due to thermodynamic noise as well as practical limitations due to noise from the sustaining circuit. We develop a comprehensive model that accounts for the major contributions to the phase noise of the nonlinear oscillator. Using a nanoelectromechanical system based oscillator, we experimentally verify the existence of a special region in the operational parameter space that enables suppressing the most significant contributions to the oscillator’s phase noise, as predicted by our model.

Item Type:Article
Related URLs:
URLURL TypeDescription DOIArticle CentralArticle Paper
Matheny, M. H.0000-0002-3488-1083
Lifshitz, Ron0000-0002-8829-5506
Roukes, M. L.0000-0002-2916-6026
Additional Information:© 2013 American Physical Society. Received 19 October 2012; revised manuscript received 11 December 2012; published 26 April 2013. This work was supported by the Defense Advanced Research Projects Agency Microsystems Technology Office, Dynamic Enabled Frequency Sources Program (DEFYS) through Department of Interior (FA8650-10-1- 7029). L. G.V. acknowledges financial support from the European Commission (PIOF-GA-2008-220682).
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)FA8650-10-1-7029
Marie Curie FellowshipPIOF-GA-2008-220682
Issue or Number:17
Classification Code:PACS: 85.85.+j, 05.40.-a, 62.25.-g, 84.30.-r
PubMed Central ID:PMC3839326
Record Number:CaltechAUTHORS:20130122-143413954
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:36517
Deposited By: Ruth Sustaita
Deposited On:22 Jan 2013 22:49
Last Modified:09 Nov 2021 23:22

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