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dc.contributor.author
Feppon, Florian
dc.contributor.author
Ammari, Habib
dc.date.accessioned
2024-06-12T08:39:29Z
dc.date.available
2024-06-11T05:30:41Z
dc.date.available
2024-06-12T08:39:29Z
dc.date.issued
2024-07
dc.identifier.other
10.1016/j.matpur.2024.05.012
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/677604
dc.description.abstract
This article provides a rigorous mathematical analysis of acoustic wave scattering induced by a high-contrast subwavelength resonator whose material density is periodically modulated in time, and with a modulation frequency that is much larger than the one of the incident wave. We find that in general, the effect of the fast modulation is averaged over time and that the system behaves as an unmodulated resonator with an apparent effective density. However, under a suitable tuning of the modulation, which achieves a matching between temporal Sturm-Liouville and spatial Neumann eigenvalues, the low frequency incident wave becomes suddenly able to excite high frequency modes in the resonator. This phenomenon leads to the generation of scattered waves carrying high frequency components in the far field, and to the existence of exponentially growing outgoing modes. From these findings, it is expected that such time-modulated system could serve as a spontaneously radiating device, or as a high harmonic generator.
en_US
dc.language.iso
en
en_US
dc.publisher
Elsevier
en_US
dc.subject
Acoustic scattering
en_US
dc.subject
Time-modulated metamaterial
en_US
dc.subject
Subwavelength resonances
en_US
dc.subject
High-contrast media
en_US
dc.subject
Sturm-Liouville eigenmodes
en_US
dc.title
Subwavelength resonant acoustic scattering in fast time-modulated media
en_US
dc.type
Journal Article
dc.date.published
2024-05-28
ethz.journal.title
Journal des Mathematiques Pures et Appliquees
ethz.journal.volume
187
en_US
ethz.pages.start
233
en_US
ethz.pages.end
293
en_US
ethz.identifier.wos
ethz.identifier.scopus
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
20.500.11850/552785
ethz.date.deposited
2024-06-11T05:30:41Z
ethz.source
SCOPUS
ethz.eth
yes
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ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2024-06-12T08:39:33Z
ethz.rosetta.lastUpdated
2024-06-12T08:39:33Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
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