no. 6
About asymptotic approximations in thin waveguides
ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 6, pp. 1271-1284.

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.

DOI : 10.1051/m2an:2005045
Classification : 35P15, 74J05
Mots clés : closed thin waveguides, asymptotic approximations 
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     title = {About asymptotic approximations in thin waveguides},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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Turbe, Nicole; Ratier, Louis. About asymptotic approximations in thin waveguides. ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 6, pp. 1271-1284. doi : 10.1051/m2an:2005045. http://www.numdam.org/articles/10.1051/m2an:2005045/

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