title: Acoustic scattering in flexible waveguide involving step discontinuity.
abstract: In this paper, the propagation and scattering of acoustic waves in a flexible wave-guide involving step discontinuity at an interface is considered. The emerging boundary value problem is non-Sturm-Liouville and is solved by employing a hybrid mode-matching technique. The physical scattering process and attenuation of duct modes versus frequency regime and change of height is studied. Moreover, the mode-matching solution is validated through a series of numerical experiments by testifying the power conservation identity and matching interface conditions.
authors.affiliation: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.
authors.forename: Muhammad
authors.initials: M
authors.lastname: Afzal
authors.affiliation: Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, Pakistan.
authors.forename: Rab
authors.initials: R
authors.lastname: Nawaz
authors.affiliation: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.
authors.forename: Muhammad
authors.initials: M
authors.lastname: Ayub
authors.affiliation: Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, Pakistan.
authors.forename: Abdul
authors.initials: A
authors.lastname: Wahab
mesh_terms: D000162:Acoustics; D008962:Models, Theoretical; D013016:Sound
references.citation: J Acoust Soc Am. 2008 Nov;124(5):2952-62
references.pmid: 19045783
references.citation: J Acoust Soc Am. 2013 Sep;134(3):1939-49
references.pmid: 23967927
references.citation: PLoS One. 2014 Apr 22;9(4):e92566
references.pmid: 24755624