Fourth-order variational mode solving for anisotropic planar structures

H.P. Uranus, Hugo Hoekstra, Embrecht W.C. van Groesen

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    A variational method that gives 4th-order accuracy by only using linear basis functions within the computational domain is proposed for the mode solving of anisotropic planar stratified waveguides with diagonal permitivity tensor. A non-uniform mesh is used to get rid of the necessity of incorporating interface corrections and higher-order basis functions, while Richardson-like extrapolation is used to obtain 4th-order accuracy. The scheme was derived for both TE and TM mode analysis and completed with infinite elements as transparent boundary conditions. The use of a simple extrapolation technique to further refine the results by using two consecutive calculated results is also demonstrated.
    Original languageUndefined
    Pages (from-to)247-261
    Number of pages15
    JournalJournal of nonlinear optical physics & materials
    Issue number2
    Publication statusPublished - 2003


    • anisotropic waveguide
    • Variational method
    • high accuracy scheme
    • planar waveguide
    • IR-45406
    • EWI-11558
    • METIS-212169
    • transparent boundary conditions

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