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Trapped modes in a waveguide with a long obstacle

Khallaf, NSA; Parnovski, L; Vassiliev, D; (2000) Trapped modes in a waveguide with a long obstacle. J FLUID MECH , 403 251 - 261. 10.1017/S0022112099007028. Green open access

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Abstract

Consider an infinite two-dimensional acoustic waveguide containing a long rectangular obstacle placed symmetrically with respect to the centreline. We search for trapped modes, i.e. modes of oscillation at particular frequencies which decay down the waveguide. We provide analytic estimates for trapped mode frequencies and prove that the number of trapped modes is asymptotically proportional to the length of the obstacle.

Type: Article
Title: Trapped modes in a waveguide with a long obstacle
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112099007028
Publisher version: http://dx.doi.org/10.1017/S0022112099007028
Language: English
Additional information: © 2000 Cambridge University Press
Keywords: WAVE-GUIDES
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/82935
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