Wave Scattering through Step Down Cascading Junctions

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dc.authoridAli, Hadia/0000-0002-8815-2513
dc.contributor.authorAli, Hadia
dc.contributor.authorMahmood-ul-Hassan, Ali
dc.contributor.authorAkgul, Ali
dc.contributor.authorAlshomrani, Ali Saleh
dc.date.accessioned2024-12-24T19:33:42Z
dc.date.available2024-12-24T19:33:42Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we present the scattering of plane waves through two junctions with step-down cascading discontinuities. The solutions in the form of trapped modes corresponding to discrete eigen values are also presented. We illustrate the matching of continuity of pressure and velocity at the edges, conservation of energy, convergence/error of reflection, and reflection and transmission of the incident wave that go through the wider region. We discuss the reflection and transmission amplitudes by varying dimensions of wave-guide structure against wave number. We plot the surface and contour plots along with absolute potential solutions at different frequencies where extrema of field amplitudes occur. We also derive the results of extra ordinary acoustic transmission (EAT) for existing models. We apply the Mode Matching Method (MMM) to tackle the problem. Our model would be beneficial to structure the old and new models containing cavities and junctions. However, these structure models cannot retrieve our proposed geometrical model. The results will be helpful to model the practical exhaust system in noise reduction theory.
dc.description.sponsorshipInstitutional Fund Projects [IFPIP:1271-130-1443]; Ministry of Education; King Abdulaziz University, DSR, Jeddah, Saudi Arabia
dc.description.sponsorshipThis research work was funded by Institutional Fund Projects under grant no. (IFPIP:1271-130-1443). The authors gratefully acknowledge technical and financial support provided by the Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia.
dc.identifier.doi10.3390/math11092027
dc.identifier.issn2227-7390
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85159155492
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math11092027
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8237
dc.identifier.volume11
dc.identifier.wosWOS:000987498400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectwave-guide
dc.subjecteigen function expansion
dc.subjectcascaded-discontinuity
dc.subjectwave-scattering
dc.subjectextra ordinary acoustic transmission
dc.titleWave Scattering through Step Down Cascading Junctions
dc.typeArticle

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