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DC Field | Value | Language |
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dc.contributor.author | Perrey-Debain, E | - |
dc.contributor.author | Nennig, B | - |
dc.contributor.author | Lawrie, JB | - |
dc.date.accessioned | 2021-10-04T17:13:45Z | - |
dc.date.available | 2021-10-04T17:13:45Z | - |
dc.date.issued | 2021-10-02 | - |
dc.identifier | ORCID iD: E. Perrey-Debain https://orcid.org/0000-0003-0445-8492 | - |
dc.identifier | ORCID iD: B. Nennig https://orcid.org/0000-0002-0309-7165 | - |
dc.identifier | ORCID iD: J.B. Lawrie https://orcid.org/0000-0003-3674-5605 | - |
dc.identifier | 116510 | - |
dc.identifier.citation | Perrey-Debain, E., Nennig, B. and Lawrie, J.B. (2022) 'Mode coalescence and the Green’s function in a two-dimensional waveguide with arbitrary admittance boundary conditions', Journal of Sound and Vibration, 516, 116510, pp. 1 - 13. doi: 10.1016/j.jsv.2021.116510. | en_US |
dc.identifier.issn | 0022-460X | - |
dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/23301 | - |
dc.description.abstract | This study focuses on sound attenuation in a two-dimensional waveguide with arbitrary admittance boundary conditions on both sides of the guide. The emphasis is on understanding the formation and potential applications of the exceptional points (EPs) which arise when two (EP2) or three (EP3) modes degenerate into a single mode. A perturbation approach is used to obtain asymptotic expressions for the trajectories of the axial wavenumbers in the complex plane as they coalesce to form an EP. The numerical results presented herein suggest that the first triple root (EP3) assures maximum modal attenuation along the waveguide. Further, it is demonstrated that the classical Green’s function is degenerate at an EP. Modified Green’s functions which are valid at EP2 and EP3 are presented. | - |
dc.format.extent | 1 -13 | - |
dc.format.medium | Print-Electronic | - |
dc.language.iso | en_US | en_US |
dc.publisher | Elsevier | - |
dc.rights | Copyright © 2021 Elsevier. All rights reserved. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1016/j.jsv.2021.116510, made available on this repository under a Creative Commons CC BY-NC-ND attribution licence (https://creativecommons.org/licenses/by-nc-nd/4.0/). | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.subject | duct acoustics | en_US |
dc.subject | guided waves | en_US |
dc.subject | exceptional point | en_US |
dc.subject | puiseux series | en_US |
dc.subject | Green’s function | en_US |
dc.subject | non-Hermitian physics | en_US |
dc.title | Mode coalescence and the Green’s function in a two-dimensional waveguide with arbitrary admittance boundary conditions | en_US |
dc.type | Article | en_US |
dc.identifier.doi | https://doi.org/10.1016/j.jsv.2021.116510 | - |
dc.relation.isPartOf | Journal of Sound and Vibration | - |
pubs.publication-status | Published | - |
pubs.volume | 516 | - |
dc.identifier.eissn | 1095-8568 | - |
dc.rights.holder | Elsevier | - |
Appears in Collections: | Dept of Mathematics Research Papers |
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FullText.pdf | Copyright © 2021 Elsevier. All rights reserved. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1016/j.jsv.2021.116510, made available on this repository under a Creative Commons CC BY-NC-ND attribution licence (https://creativecommons.org/licenses/by-nc-nd/4.0/). | 1.69 MB | Adobe PDF | View/Open |
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