|
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
|
|
Référence : |
SIAM Journal on Mathematical Analysis - vol. 21(6) (pp 1487-1510 ) |
