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Trapped modes in cylindrical waveguides
journal contribution
posted on 2013-02-27, 08:58 authored by Christopher LintonChristopher Linton, Maureen McIverWe prove the existence of trapped modes in the presence of two classes of obstacles in cylindrical acoustic waveguides. First we prove that trapped modes exist whenever the obstacle is thin and has a normal which is everywhere perpendicular to the generators of the cylinder. Secondly we prove that for the case of a circular cylindrical guide containing an axisymmetric obstacle, an infinite sequence of trapped modes exists, the frequency of the modes tending to infinity. In each case we consider an example where the trapped mode frequencies can be calculated numerically using the residue calculus method.
History
School
- Science
Department
- Mathematical Sciences
Citation
LINTON, C.M. and MCIVER, M., 1998. Trapped modes in cylindrical waveguides. Quarterly Journal of Mechanics and Applied Mathematics, 51 (3), pp.389-412.Publisher
© Oxford University PressVersion
- VoR (Version of Record)
Publication date
1998Notes
This article is closed access.ISSN
0033-5614eISSN
1464-3855Publisher version
Language
- en