{"title":"Acoustic scattering by multi-layered gratings","authors":"Shiza B. Naqvi, Lorna J. Ayton","doi":"10.1016/j.jsv.2025.119083","DOIUrl":null,"url":null,"abstract":"<div><div>Acoustic scattering by layered array gratings and diverse boundary conditions is considered by adapting the semi-analytic Fokas method to periodic geometries. The generalised Dirichlet-to-Neumann (DtN) map is solved numerically and the scattering solution is recovered through a Green’s integral representation. The boundary conditions on the array gratings include sound-hard, sound-soft and elastic. Acoustic scattering by layered array gratings with different periods is also discussed. Engineering applications include the use of layered perforated structures as anti-reflection coatings and anti-transmission coatings. The method is also presented as a baseline upon which to build a theoretical homogenisation model for effective impedance parameters for perforated structures.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"610 ","pages":"Article 119083"},"PeriodicalIF":4.9000,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Sound and Vibration","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022460X25001579","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/4/10 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
Acoustic scattering by layered array gratings and diverse boundary conditions is considered by adapting the semi-analytic Fokas method to periodic geometries. The generalised Dirichlet-to-Neumann (DtN) map is solved numerically and the scattering solution is recovered through a Green’s integral representation. The boundary conditions on the array gratings include sound-hard, sound-soft and elastic. Acoustic scattering by layered array gratings with different periods is also discussed. Engineering applications include the use of layered perforated structures as anti-reflection coatings and anti-transmission coatings. The method is also presented as a baseline upon which to build a theoretical homogenisation model for effective impedance parameters for perforated structures.
期刊介绍：
The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application.
JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.
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