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Title : |
Mathematical Analysis of the Guided Modes of an Optical Fiber |
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Year : |
1990 |
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Type : |
paper in peer-reviewed journal |
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Authors : |
A. Bamberger, A.-S. Bonnet-BenDhia |
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Abstract : |
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. |
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Themes : |
Wave guides
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Reference : |
SIAM Journal on Mathematical Analysis - vol. 21(6) (pp 1487-1510 ) |
