TRAPPED MODES IN ACOUSTIC WAVE-GUIDES

Authors
DAVIES EB PARNOVSKI L
Citation
Eb. Davies et L. Parnovski, TRAPPED MODES IN ACOUSTIC WAVE-GUIDES, Quarterly Journal of Mechanics and Applied Mathematics, 51, 1998, pp. 477-492
Citations number
8
Categorie Soggetti
Mathematics,Mechanics,Mathematics
Journal title
Quarterly Journal of Mechanics and Applied Mathematics → ACNP
ISSN journal
00335614
Volume
51
Year of publication
1998
Part
3
Pages
477 - 492
Database
ISI
SICI code
0033-5614(1998)51:<477:TMIAW>2.0.ZU;2-5
Abstract
We consider the eigenvalue problem for the Laplacian on a cylinder per turbed by a compact obstacle (with Neumann boundary conditions) and lo ok for eigenvalues of such a problem. In the case of a two-dimensional cylinder with symmetric obstacle we give sufficient conditions for bo th existence and non-existence of an eigenvalue. We also prove that in the case of a thin obstacle, parallel to the axis of the cylinder, th ere always exists an eigenvalue.