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Fourier modal methods for modeling optical dielectric waveguides

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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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Authors and Affiliations

  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

    J. P. Hugonin & P. Lalanne

  2. Departamento de Ingeniería Eléctrica y Electrónica, Universidad Pública de Navarra, 31006, Pamplona, Spain

    I. Del. Villar & I. R. Matias

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  1. J. P. Hugonin
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  2. P. Lalanne
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  3. I. Del. Villar
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  4. I. R. Matias
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Correspondence to P. Lalanne.

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Hugonin, J.P., Lalanne, P., Villar, I.D. et al. Fourier modal methods for modeling optical dielectric waveguides. Opt Quant Electron 37, 107–119 (2005). https://doi.org/10.1007/s11082-005-1127-2

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