Optical and Quantum Electronics

, Volume 37, Issue 1–3, pp 107–119 | Cite as

Fourier modal methods for modeling optical dielectric waveguides

  • J. P. Hugonin
  • P. Lalanne
  • I. Del. Villar
  • I. R. Matias


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.


electromagnetic theory Fourier expansion techniques optical mode solver 


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Copyright information

© Springer 2005

Authors and Affiliations

  • J. P. Hugonin
    • 1
  • P. Lalanne
    • 1
  • I. Del. Villar
    • 2
  • I. R. Matias
    • 2
  1. 1.Laboratoire Charles Fabry de l’Institut d’Optique, Centre National de la Recherche ScientifiqueUniversité Paris Sud BâtOrsay CedexFrance
  2. 2.Departamento de Ingeniería Eléctrica y ElectrónicaUniversidad Pública de NavarraPamplonaSpain

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