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Journal of Engineering Mathematics

, Volume 59, Issue 4, pp 419–435 | Cite as

Wave propagation in a bifurcated impedance-lined cylindrical waveguide

  • Anthony D. RawlinsEmail author
Article

Abstract

The radiation of a cylindrical-surface-wave mode which propagates towards the mouth of a semi- infinite cylindrical waveguide which supports surface waves is considered. This semi-infinite cylindrical waveguide is symmetrically located inside an infinite cylindrical waveguide whose surfaces are lined with an absorbent material. The whole system constitutes a new bifurcated cylindrical-waveguide boundary-value problem that has application in acoustics and electromagnetism. The mathematical model results in a scalar Wiener–Hopf problem which can be rigorously solved to give a closed-form solution.

Keywords

Cylindrically lined ducts Diffraction Lined waveguides Wiener–Hopf technique 

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Copyright information

© Springer Science + Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of Mathematical SciencesBrunel UniversityUxbridgeUK

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