Affiliation
Univ Arizona, Dept Mat Sci & EngnIssue Date
2016-11-18
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NATURE PUBLISHING GROUPCitation
Giant frequency down-conversion of the dancing acoustic bubble 2016, 6:37385 Scientific ReportsJournal
Scientific ReportsRights
Copyright © The Author(s) 2016. This work is licensed under a Creative Commons Attribution 4.0 International License.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
We have demonstrated experimentally the existence of a giant frequency down-conversion of the translational oscillatory motion of individual submillimeter acoustic bubbles in water in the presence of a high frequency (500 kHz) ultrasonic standing wave. The frequency of the translational oscillations (similar to 170 Hz) is more than three orders of magnitude smaller than that of the driving acoustic wave. We elucidate the mechanism of this very slow oscillation with an analytical model leading to an equation of translational motion of a bubble taking the form of Mathieu's equation. This equation illuminates the origin of the giant down conversion in frequency as arising from an unstable equilibrium. We also show that bubbles that form chains along the direction of the acoustic standing wave due to radiation interaction forces exhibit also translation oscillations that form a spectral band. This band extends approximately from 130 Hz up to nearly 370 Hz, a frequency range that is still at least three orders of magnitude lower than the frequency of the driving acoustic wave.Note
Published open access.ISSN
2045-2322PubMed ID
27857217Version
Final published versionAdditional Links
http://www.nature.com/articles/srep37385ae974a485f413a2113503eed53cd6c53
10.1038/srep37385
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Except where otherwise noted, this item's license is described as Copyright © The Author(s) 2016. This work is licensed under a Creative Commons Attribution 4.0 International License.
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