dc.date.accessioned | 2023-08-17T15:22:58Z | |
dc.date.available | 2023-08-17T15:22:58Z | |
dc.date.created | 2011-12-14T16:39:53Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Holm, Sverre Näsholm, Sven Peter . A causal and fractional all-frequency wave equation for lossy media. Journal of the Acoustical Society of America. 2011, 130(4), 2195-2202 | |
dc.identifier.uri | http://hdl.handle.net/10852/103311 | |
dc.description.abstract | This work presents a lossy partial differential acoustic wave equation including fractional derivative terms. It is derived from first principles of physics (mass and momentum conservation) and an equation of state given by the fractional Zener stress-strain constitutive relation. For a derivative order α in the fractional Zener relation, the resulting absorption αk obeys frequency power-laws as αk ∝ ω1+α in a low-frequency regime, αk ∝ ω1–α/2 in an intermediate-frequency regime, and αk ∝ ω1–α in a high-frequency regime. The value α = 1 corresponds to the case of a single relaxation process. The wave equation is causal for all frequencies. In addition the sound speed does not diverge as the frequency approaches infinity. This is an improvement over a previously published wave equation building on the fractional Kelvin–Voigt constitutive relation. | |
dc.language | EN | |
dc.title | A causal and fractional all-frequency wave equation for lossy media | |
dc.title.alternative | ENEngelskEnglishA causal and fractional all-frequency wave equation for lossy media | |
dc.type | Journal article | |
dc.creator.author | Holm, Sverre | |
dc.creator.author | Näsholm, Sven Peter | |
cristin.unitcode | 185,15,5,51 | |
cristin.unitname | Forskningsgruppen for digital signalbehandling og bildeanalyse | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 868182 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal of the Acoustical Society of America&rft.volume=130&rft.spage=2195&rft.date=2011 | |
dc.identifier.jtitle | Journal of the Acoustical Society of America | |
dc.identifier.volume | 130 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 2195 | |
dc.identifier.endpage | 2202 | |
dc.identifier.doi | https://doi.org/10.1121/1.3631626 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0001-4966 | |
dc.type.version | PublishedVersion | |