Transparent-influx boundary conditions for FEM based modelling of 2D Helmholtz problems in optics

J.B. Nicolau, Embrecht W.C. van Groesen, Manfred Hammer

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    Abstract

    A numerical method for the analysis of the 2D Helmholtz equation is presented, which incorporates Transparent-Influx Boundary Conditions into a variational formulation of the Helmholtz problem. For rectangular geometries, the non-locality of those boundaries can be efficiently handled by using Fourier decomposition. The Finite Element Method is used to discretize the interior and the nonlocal Dirichlet-to-Neumann operators arising from the formulation of Transparent-Influx Boundary Conditions.
    Original languageUndefined
    Title of host publicationProceedings of the 12th International Workshop on Optical Waveguide Theory and Numerical Modelling (OWTNM)
    Place of PublicationGhent
    PublisherGhent University
    Pages26-26
    Number of pages1
    ISBN (Print)9076546037
    Publication statusPublished - Mar 2004
    Event12th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2004 - Ghent, Belgium
    Duration: 22 Mar 200423 Mar 2004
    Conference number: 12
    https://www.owtnm-workshop.org/

    Conference

    Conference12th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2004
    Abbreviated titleOWTNM
    CountryBelgium
    CityGhent
    Period22/03/0423/03/04
    Internet address

    Keywords

    • Dirichlet-to-Neumann operator
    • IR-47540
    • Helmholtz problems
    • EWI-13948
    • METIS-218095
    • TIBCs
    • FEM

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