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.
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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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