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dc.contributor.author
Ammari, Habib
dc.contributor.author
Challa, Durga Prasad
dc.contributor.author
Choudhury, Anupam Pal
dc.contributor.author
Sini, Mourad
dc.date.accessioned
2020-08-25T08:48:14Z
dc.date.available
2020-07-23T05:24:31Z
dc.date.available
2020-08-25T08:48:14Z
dc.date.issued
2020-01
dc.identifier.issn
1540-3459
dc.identifier.issn
1540-3467
dc.identifier.other
10.1137/19M1237259
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/428076
dc.description.abstract
We deal with the point-interaction approximations for the acoustic wave fields generated by a cluster of highly contrasted bubbles for a wide range of densities and bulk moduli contrasts. We derive the equivalent fields when the cluster of bubbles is appropriately distributed (but not necessarily periodically) in a bounded domain $\Omega$ of $\mathbb{R}^3$. We handle two situations. (1) In the first one, we distribute the bubbles to occupy a three dimensional domain. For this case, we show that the equivalent speed of propagation changes sign when the medium is excited with frequencies smaller or larger than (but not necessarily close to) the Minnaert resonance. As a consequence, this medium behaves as reflective or absorbing depending on whether the used frequency is smaller or larger than this resonance. In addition, if the used frequency is extremely close to this resonance, for a cluster of bubbles with density above a certain threshold, then the medium behaves as a “wall,” i.e., allowing no incident sound to penetrate. (2) In the second one, we distribute the bubbles to occupy a two dimensional (open or closed) surface, not necessarily flat. For this case, we show that the equivalent medium is modeled by a Dirac potential supported on that surface. The sign of the surface potential changes for frequencies smaller or larger than the Minnaert resonance, i.e., it behaves as a smart metasurface reducing or amplifying the transmitted sound across it. As in the three dimensional case, if the used frequency is extremely close to this resonance, for a cluster of bubbles with density above an appropriate threshold, then the surface allows no incident sound to be transmitted across the surface, i.e., it behaves as a white screen. © 2020 Society for Industrial and Applied Mathematics.
en_US
dc.language.iso
en
en_US
dc.publisher
SIAM
dc.subject
Bubbly media
en_US
dc.subject
Foldy-Lax approximation
en_US
dc.subject
Effective medium theory
en_US
dc.subject
Metamaterials
en_US
dc.subject
Metascreen
en_US
dc.title
The Equivalent Media Generated by Bubbles of High Contrasts: Volumetric Metamaterials and Metasurfaces
en_US
dc.type
Journal Article
dc.date.published
2020-02-19
ethz.journal.title
Multiscale Modeling & Simulation
ethz.journal.volume
18
en_US
ethz.journal.issue
1
en_US
ethz.journal.abbreviated
Multiscale model. simul.
ethz.pages.start
240
en_US
ethz.pages.end
293
en_US
ethz.identifier.wos
ethz.publication.place
Philadelphia, PA
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::09504 - Ammari, Habib / Ammari, Habib
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::09504 - Ammari, Habib / Ammari, Habib
ethz.relation.isNewVersionOf
handle/20.500.11850/307271
ethz.date.deposited
2020-07-23T05:24:36Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2020-08-25T08:48:27Z
ethz.rosetta.lastUpdated
2024-02-02T11:55:14Z
ethz.rosetta.versionExported
true
ethz.COinS
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