Synchronization in a mechanical resonator array coupled quadratically to a common electromagnetic field mode

Aveleyra, G. Leon, Holmes, C.A. and Milburn, G. J. (2014) Synchronization in a mechanical resonator array coupled quadratically to a common electromagnetic field mode. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 89 6: 062912-1-062912-9. doi:10.1103/PhysRevE.89.062912

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads
UQ333832.pdf Full text (open access) application/pdf 3.51MB 0

Author Aveleyra, G. Leon
Holmes, C.A.
Milburn, G. J.
Title Synchronization in a mechanical resonator array coupled quadratically to a common electromagnetic field mode
Journal name Physical Review E - Statistical, Nonlinear, and Soft Matter Physics   Check publisher's open access policy
ISSN 1550-2376
1539-3755
Publication date 2014-06-11
Year available 2014
Sub-type Article (original research)
DOI 10.1103/PhysRevE.89.062912
Open Access Status File (Publisher version)
Volume 89
Issue 6
Start page 062912-1
End page 062912-9
Total pages 9
Place of publication College Park MD, United States
Publisher American Physical Society
Language eng
Abstract Optomechanical systems are based on the nonlinear coupling between the electromagnetic (EM) field in a resonator and one or more bulk mechanical resonators such that the frequency of the EM field resonator depends on the displacement coordinates of each of the mechanical resonators. In this paper we consider the case of multiple mechanical resonators interacting with a common field for which the frequency of the EM resonance is tuned to depend quadratically (to lowest order) on the displacement of the resonators. By using the method of amplitude equations around a critical point, it is shown that groups of near-identical bulk mechanical resonators with low driving fail to synchronize unless their natural frequencies are identical, in which case the resulting system can exhibit multistability.
Keyword Physics, Fluids & Plasmas
Physics, Mathematical
Physics
PHYSICS, FLUIDS & PLASMAS
PHYSICS, MATHEMATICAL
Q-Index Code C1
Q-Index Status Confirmed Code
Grant ID FF0776191
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 2 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 2 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Tue, 01 Jul 2014, 10:20:08 EST by System User on behalf of School of Mathematics & Physics