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About asymptotic approximations in thin waveguides

Published online by Cambridge University Press:  15 November 2005

Nicole Turbe  and
Louis Ratier
Nicole Turbe
Affiliation:
Laboratoire de Modélisation, Matériaux et Structures. UPMC, Case 161, 4, place Jussieu, 75005 Paris, France. turbe@ccr.jussieu.fr
Louis Ratier
Affiliation:
Invited research engineer (currently at EDF/R&D/AMA) LM2S, Case 161, 4, place Jussieu, 75005 Paris, France. louis@ratier.net
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Abstract

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.

Keywords

Closed thin waveguidesasymptotic approximations.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 6 , November 2005 , pp. 1271 - 1284
Copyright
© EDP Sciences, SMAI, 2005

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References

R. Dautray and J.L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques. Masson, Paris (1988).
Joly, P. and Poirier, C., Mathematical analysis of electromagnetic open waveguides. RAIRO Modél. Math. Anal. Numér. 29 (1995) 505–575. CrossRef
W. Magnus and S. Winkler, Hill's Equation. Interscience, New York (1966).
E. Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory. Springer, Berlin (1980).
J. Sanchez-Hubert and E. Sanchez-Palencia, Vibrations and coupling of continuous systems. Asymptotic methods. Springer, Berlin (1989).