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dc.contributor.authorDeymier, P. A.
dc.contributor.authorKeswani, M.
dc.contributor.authorJenkins, N.
dc.contributor.authorTang, C.
dc.contributor.authorRunge, K.
dc.date.accessioned2017-02-03T23:03:50Z
dc.date.available2017-02-03T23:03:50Z
dc.date.issued2016-11-18
dc.identifier.citationGiant frequency down-conversion of the dancing acoustic bubble 2016, 6:37385 Scientific Reportsen
dc.identifier.issn2045-2322
dc.identifier.pmid27857217
dc.identifier.doi10.1038/srep37385
dc.identifier.urihttp://hdl.handle.net/10150/622416
dc.description.abstractWe 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.
dc.language.isoenen
dc.publisherNATURE PUBLISHING GROUPen
dc.relation.urlhttp://www.nature.com/articles/srep37385en
dc.rightsThis work is licensed under a Creative Commons Attribution 4.0 International License.en
dc.titleGiant frequency down-conversion of the dancing acoustic bubbleen
dc.typeArticleen
dc.contributor.departmentUniv Arizona, Dept Mat Sci & Engnen
dc.identifier.journalScientific Reportsen
dc.description.notePublished open access.en
dc.description.collectioninformationThis 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.en
dc.eprint.versionFinal published versionen
refterms.dateFOA2018-09-11T17:25:16Z
html.description.abstractWe 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.


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