Titre : |
Mathematical Analysis of the Guided Modes of an Optical Fiber |
Année : |
1990 |
Type : |
article (revue avec comité de lecture) |
Auteurs : |
A. Bamberger, A.-S. Bonnet-BenDhia |
Résumé : |
A mathematical formulation for the guided modes of an optical fiber is derived from Maxwell’s equations: this formulation leads to an eigenvalue problem for a family of self-adjoint noncompact operators. The main spectral properties of these operators are established. Then the min-max principle provides an expression of the nonlinear dispersion relation, which connects the propagation constants of guided modes to the frequency. Various existence results are finally proved and a complete description of the dispersion curves (monotonicity, asymptotic behavior, existence of cutoff values) is carried out. |
Thèmes : |
Guides d'ondes
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Référence : |
SIAM Journal on Mathematical Analysis - vol. 21(6) (pp 1487-1510 ) |