Modelling the acoustical response of lossy lamella-crystals.

Johan Christensen, N. Asger Mortensen, Morten Willatzen

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

The sound propagation properties of lossy lamella-crystals are analysed theoretically utilizing a rig- orous wave expansion formalism and an effective medium approach. We investigate both sup- ported and free-standing crystal slab structures and predict high absorption for a broad range of frequencies. A detailed derivation of the formalism is presented, and we show how the results obtained in the subwavelength and superwavelength regimes qualitatively can be reproduced by homogenizing the lamella-crystals. We come to the conclusion that treating this structure within the metamaterial limit only makes sense if the crystal filling fraction is sufficiently large to satisfy an effective medium approach.
OriginalsprogEngelsk
Artikelnummer163508
TidsskriftJournal of Applied Physics
Vol/bind116
Udgave nummer16
Antal sider6
ISSN0021-8979
DOI
StatusUdgivet - 2014
Udgivet eksterntJa

Fingeraftryk

lamella
crystals
formalism
sound propagation
homogenizing
elastic waves
slabs
derivation

Citer dette

Christensen, Johan ; Mortensen, N. Asger ; Willatzen, Morten. / Modelling the acoustical response of lossy lamella-crystals. I: Journal of Applied Physics. 2014 ; Bind 116, Nr. 16.
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Modelling the acoustical response of lossy lamella-crystals. / Christensen, Johan; Mortensen, N. Asger; Willatzen, Morten.

I: Journal of Applied Physics, Bind 116, Nr. 16, 163508, 2014.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

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AU - Mortensen, N. Asger

AU - Willatzen, Morten

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N2 - The sound propagation properties of lossy lamella-crystals are analysed theoretically utilizing a rig- orous wave expansion formalism and an effective medium approach. We investigate both sup- ported and free-standing crystal slab structures and predict high absorption for a broad range of frequencies. A detailed derivation of the formalism is presented, and we show how the results obtained in the subwavelength and superwavelength regimes qualitatively can be reproduced by homogenizing the lamella-crystals. We come to the conclusion that treating this structure within the metamaterial limit only makes sense if the crystal filling fraction is sufficiently large to satisfy an effective medium approach.

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