Fourier modal methods for modeling optical dielectric waveguides |
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Authors: | J. P. Hugonin P. Lalanne I. Del. Villar I. R. Matias |
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Affiliation: | (1) Laboratoire Charles Fabry de l’Institut d’Optique, Centre National de la Recherche Scientifique, Université Paris Sud Bât, 503 F-91403 Orsay Cedex, France;(2) Departamento de Ingeniería Eléctrica y Electrónica, Universidad Pública de Navarra, 31006 Pamplona, Spain |
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Abstract: | This work contains new materials relative to the use of Fourier expansion techniques, also called plane-wave expansion techniques, for modelling normal modes of optical waveguides. Two rigorous fully vectorial methods are presented and benchmarked for a classical rib waveguide geometry well studied in the literature. The first method relies on a pole extraction and on a one-dimensional expansion scheme. A four-digit accuracy for the normalized propagation constant B is obtained for the dominant TE and TM modes of the benchmark problem and for a small number of retained Fourier harmonics. Better accuracy is anticipated for larger truncation ranks. The second method relies on a two-dimensional expansion scheme in Fourier space and provides a three-digit accuracy for the normalized propagation constant. |
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Keywords: | electromagnetic theory Fourier expansion techniques optical mode solver |
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