Honeycomb-lattice Minnaert bubbles
dc.contributor.author
Ammari, Habib
dc.contributor.author
Fitzpatrick, Brian
dc.contributor.author
Lee, Hyundae
dc.contributor.author
Orvehed Hiltunen, Erik
dc.contributor.author
Yu, Sanghyeon
dc.date.accessioned
2022-09-21T09:32:12Z
dc.date.available
2018-11-29T12:24:36Z
dc.date.available
2018-11-29T15:36:41Z
dc.date.available
2018-11-29T16:12:33Z
dc.date.available
2022-09-21T09:32:12Z
dc.date.issued
2018-11
dc.identifier.uri
http://hdl.handle.net/20.500.11850/307273
dc.description.abstract
The aim of this paper is to rigorously show the existence of a Dirac dispersion cone in a bubbly honeycomb phononic crystal comprised of bubbles of arbitrary shape. The main result is an asymptotic formula for the quasi-periodic Minnaert resonance frequencies close to the symmetry points K in the Brilloun zone. This shows the linear dispersion relation of a Dirac cone. Our findings in this paper are illustrated in the case of circular bubbles, where the multipole expansion method provides an efficient technique for computing the band structure.
en_US
dc.language.iso
en
en_US
dc.publisher
Seminar for Applied Mathematics, ETH Zurich
en_US
dc.subject
Honeycomb lattice
en_US
dc.subject
Dirac cone
en_US
dc.subject
bubble
en_US
dc.subject
Minnaert resonance
en_US
dc.subject
subwavelength bandgap
en_US
dc.title
Honeycomb-lattice Minnaert bubbles
en_US
dc.type
Report
ethz.journal.title
SAM Research Report
ethz.journal.volume
2018-42
en_US
ethz.size
20 p.
en_US
ethz.publication.place
Zurich
en_US
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
en_US
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
en_US
ethz.identifier.url
https://www.math.ethz.ch/sam/research/reports.html?id=796
ethz.relation.isPreviousVersionOf
20.500.11850/455380
ethz.date.deposited
2018-11-29T12:24:37Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2018-11-29T15:36:51Z
ethz.rosetta.lastUpdated
2023-02-07T06:28:05Z
ethz.rosetta.versionExported
true
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