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Titre : |
Spectral approximation of a boundary condition for an eigenvalue problem |
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Année : |
1995 |
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Type : |
article (revue avec comité de lecture) |
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Auteurs : |
A.-S. Bonnet-BenDhia, N. Gmati |
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Résumé : |
To compute the guided modes of an optical fiber, the authors use a scalar approximation of Maxwell’s equations. This formulation leads to a bidimensional eigenvalue problem set in an unbounded domain. An equivalent formulation set in a bounded domain is derived. The boundary condition involves a Fourier series expansion. For the numerical treatment, only a finite number N of terms of the series is retained. The authors prove that the error on the eigenvalues and the eigenfunctions decreases faster than any power of ${1 / N}$.
Copyright © 1995 Society for Industrial and Applied Mathematics |
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Thèmes : |
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Référence : |
SIAM Journal on Numerical Analysis - vol. 32(4) (pp 1263-1279 ) |
