About asymptotic approximations in thin waveguides
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 39, Issue: 6, page 1271-1284
- ISSN: 0764-583X
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topTurbe, Nicole, and Ratier, Louis. "About asymptotic approximations in thin waveguides." ESAIM: Mathematical Modelling and Numerical Analysis 39.6 (2010): 1271-1284. <http://eudml.org/doc/194304>.
@article{Turbe2010,
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.
},
author = {Turbe, Nicole, Ratier, Louis},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Closed thin waveguides; asymptotic approximations.; closed thin waveguides; asymptotic approximations},
language = {eng},
month = {3},
number = {6},
pages = {1271-1284},
publisher = {EDP Sciences},
title = {About asymptotic approximations in thin waveguides},
url = {http://eudml.org/doc/194304},
volume = {39},
year = {2010},
}
TY - JOUR
AU - Turbe, Nicole
AU - Ratier, Louis
TI - About asymptotic approximations in thin waveguides
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 39
IS - 6
SP - 1271
EP - 1284
AB -
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.
LA - eng
KW - Closed thin waveguides; asymptotic approximations.; closed thin waveguides; asymptotic approximations
UR - http://eudml.org/doc/194304
ER -
References
top- R. Dautray and J.L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques. Masson, Paris (1988).
- P. Joly and C. Poirier, Mathematical analysis of electromagnetic open waveguides. RAIRO Modél. Math. Anal. Numér.29 (1995) 505–575.
- 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).
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