| Issue |
ESAIM: M2AN
Volume 39, Number 6, November-December 2005
|
|
|---|---|---|
| Page(s) | 1271 - 1284 | |
| DOI | https://doi.org/10.1051/m2an:2005045 | |
| Published online | 15 November 2005 | |
About asymptotic approximations in thin waveguides
1
Laboratoire de Modélisation, Matériaux et Structures. UPMC,
Case 161, 4, place Jussieu, 75005 Paris, France. turbe@ccr.jussieu.fr
2
Invited research engineer (currently at EDF/R&D/AMA) LM2S, Case
161, 4, place Jussieu, 75005 Paris, France. louis@ratier.net
Received:
8
July
2003
Revised:
5
April
2005
Revised:
18
July
2005
We study the propagation of electromagnetic waves in a guide the section of which is a thin annulus. Owing to the presence of a small parameter, explicit approximations of the TM and TE eigenmodes are obtained. The cases of smooth and non smooth boundaries are presented.
Mathematics Subject Classification: 35P15 / 74J05
Key words: Closed thin waveguides / asymptotic approximations.
© EDP Sciences, SMAI, 2005
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