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Hybrid composed method associating conformal transformation with matrix formulation for computing eigenvalues and eigenvectors in bended optical waveguides

Abstract : A fast hybrid composed and numerical method for the calculation of eigenvalues (effective indices) and eigenvectors (optical modes) of a slab waveguide presenting a radius of curvature is presented in this letter. This compound method combines a conformal transformation of the complex plane plus a multilayer matrix formalism addressing directly the modified index profile obtained by the conformal transformation; the matrix formalism is then applied in second step so as to discretize and slice the profile in a virtual multilayer structure. This method being conveniently operable on a personal computer in a short amount of time and is easy to implement. Its results are then compared to values afforded with the commercial vectorial software COMSOL 3D so as to discuss their accuracy.
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Dernière modification le : jeudi 15 avril 2021 - 15:59:22
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Lucas Garnier, C Saavedra, Rigoberto Castro -Beltran, José Luis Lucio, Etienne Gaviot, et al.. Hybrid composed method associating conformal transformation with matrix formulation for computing eigenvalues and eigenvectors in bended optical waveguides. Optik, Elsevier, 2017, 142, pp.536-540. ⟨10.1016/j.ijleo.2017.06.035⟩. ⟨hal-01538177⟩

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