About asymptotic approximations in thin waveguides
Laboratoire de Modélisation, Matériaux et Structures. UPMC,
Case 161, 4, place Jussieu, 75005 Paris, France. firstname.lastname@example.org
2 Invited research engineer (currently at EDF/R&D/AMA) LM2S, Case 161, 4, place Jussieu, 75005 Paris, France. email@example.com
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