About asymptotic approximations in thin waveguides

Nicole Turbe; Louis Ratier

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2005)

  • Volume: 39, Issue: 6, page 1271-1284
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Turbe, Nicole, and Ratier, Louis. "About asymptotic approximations in thin waveguides." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 39.6 (2005): 1271-1284. <http://eudml.org/doc/245428>.

@article{Turbe2005,
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 - Modélisation Mathématique et Analyse Numérique},
keywords = {closed thin waveguides; asymptotic approximations},
language = {eng},
number = {6},
pages = {1271-1284},
publisher = {EDP-Sciences},
title = {About asymptotic approximations in thin waveguides},
url = {http://eudml.org/doc/245428},
volume = {39},
year = {2005},
}

TY - JOUR
AU - Turbe, Nicole
AU - Ratier, Louis
TI - About asymptotic approximations in thin waveguides
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2005
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
UR - http://eudml.org/doc/245428
ER -

References

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  1. [1] R. Dautray and J.L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques. Masson, Paris (1988). Zbl0642.35001
  2. [2] P. Joly and C. Poirier, Mathematical analysis of electromagnetic open waveguides. RAIRO Modél. Math. Anal. Numér. 29 (1995) 505–575. Zbl0834.35126
  3. [3] W. Magnus and S. Winkler, Hill’s Equation. Interscience, New York (1966). Zbl0158.09604
  4. [4] E. Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory. Springer, Berlin (1980). Zbl0432.70002
  5. [5] J. Sanchez-Hubert and E. Sanchez-Palencia, Vibrations and coupling of continuous systems. Asymptotic methods. Springer, Berlin (1989). Zbl0698.70003

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