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Coupled oscillators driven with difference-frequency parametric position feedback

Case, William B. and Tjossem, Paul J. H. and Abrams, Katherine G. and St. Germaine-Fuller, James F. (2017) Coupled oscillators driven with difference-frequency parametric position feedback. Journal of Applied Physics, 122 (12). Art. No. 124905. ISSN 0021-8979. https://resolver.caltech.edu/CaltechAUTHORS:20171023-141028944

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Abstract

We examine theoretically and measure experimentally the instability regions for a pair of parametrically driven mechanical oscillators on an air track. We take the position of the second mass, multiply it by cos (ω_Dt), and apply it to the first mass. We show that this leads to an instability for both normal modes of the coupled oscillator system when ω_D is close to the difference of the normal mode frequencies. Such an instability mechanism is of special interest because the input frequency, ω_D, can be much lower than the output frequencies of the system. In addition, we consider the case where cos (ω_Dt) is replaced by a negative constant, which also leads to instability, but at a single frequency. This study of the difference frequency oscillator system was motivated by the QASER system described in Svidzinsky, Yuan and Scully [Phys. Rev. X 3, 041001 (2013)].


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.4991887DOIArticle
http://aip.scitation.org/doi/10.1063/1.4991887PublisherArticle
ORCID:
AuthorORCID
Tjossem, Paul J. H.0000-0002-4002-3990
Additional Information:© 2017 AIP Publishing. Received 23 June 2017; accepted 14 September 2017; published online 29 September 2017. The authors would like to thank Professors Wolfgang Schleich and Marlan Scully for fruitful and spirited discussions on the QASER mechanism and the topic of difference frequency oscillations.
Issue or Number:12
Record Number:CaltechAUTHORS:20171023-141028944
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171023-141028944
Official Citation:Coupled oscillators driven with difference-frequency parametric position feedback. William B. Case, Paul J. H. Tjossem, Katherine G. Abrams, and James F. St. Germaine-Fuller. Journal of Applied Physics 2017 122:12
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82592
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Oct 2017 18:17
Last Modified:03 Oct 2019 18:56

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