Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/25633
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dc.contributor.authorLawrie, JB-
dc.contributor.authorNennig, B-
dc.contributor.authorPerrey-Debain, E-
dc.date.accessioned2022-12-14T12:39:12Z-
dc.date.available2022-12-14T12:39:12Z-
dc.date.issued2022-12-21-
dc.identifierORCiD: Jane B Lawrie https://orcid.org/0000-0003-3674-5605-
dc.identifierORCiD: Benoit Nennig https://orcid.org/0000-0002-0309-7165-
dc.identifier.citationLawrie, J.B., Nennig, B. and Perrey-Debain, E. (2022) 'Analytic mode-matching for accurate handling of exceptional points in a lined acoustic waveguide', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478 (2268), pp. 1 - 24. doi: 10.1098/rspa.2022.0484.en_US
dc.identifier.issn1364-5021-
dc.identifier.urihttps://bura.brunel.ac.uk/handle/2438/25633-
dc.descriptionData accessibility: The paper contains no experimental data. All codes repositories address are available from the reference section.en_US
dc.description.abstractExceptional points (which occur when two or more modes coalesce) have long been associated with optimal attenuation in lined acoustic waveguides. In recent years, with a view to optimizing sound absorption, some effort has gone into designing liners that generate exceptional points (EPs) at specified frequencies. However, analytic modelling of acoustic scattering in the presence of an EP is not well developed, with most authors relying on standard methods applied close to (but not at) EP conditions. Indeed, exact treatment requires care since the mathematical system under-pinning the scattering process is degenerate. This article presents an analytic mode-matching approach to modelling the scattering of a plane wave travelling towards the junction of a rigid duct with a lined duct at EP conditions. Both EP2 and EP3 (coalescence of two and three modes respectively) are considered. The enhanced mode-matching scheme is shown to be valid and numerically robust, and it is anticipated that it will be straightforward to adapt to a wide range of applications involving complex symmetric operators.en_US
dc.format.extent1 - 24-
dc.format.mediumPrint-Electronic-
dc.language.isoenen_US
dc.publisherRoyal Society Publishing-
dc.rightsAttribution 4.0 International-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.subjectexceptional pointen_US
dc.subjectcomplex symmetric operatoren_US
dc.subjectwaveguideen_US
dc.subjectmode-matchingen_US
dc.subjectpoint-wise convergenceen_US
dc.subjecttransmission lossen_US
dc.titleAnalytic mode-matching for accurate handling of exceptional points in a lined acoustic waveguideen_US
dc.typeArticleen_US
dc.date.dateAccepted2022-11-18-
dc.identifier.doihttps://doi.org/10.1098/rspa.2022.0484-
dc.relation.isPartOfProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences-
pubs.issue2268-
pubs.publication-statusPublished-
pubs.volume478-
dc.identifier.eissn1471-2946-
dc.rights.licensehttps://creativecommons.org/licenses/by/4.0/legalcode.en-
dc.rights.holderThe Authors-
Appears in Collections:Dept of Mathematics Research Papers

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