A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations

Remco Stoffer, A. Sopaheluwakan, Manfred Hammer, Embrecht W.C. van Groesen

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    Abstract

    By combining Dirichlet to Neumann (DtN) operators and Perfectly Matched Layers (PML’s) as boundary conditions on a rectangular domain on which the Helmholtz equation is solved, the disadvantages of both methods are greatly diminished. Due to the DtN operators, light may be accurately fluxed into the domain, while the PML’s absorb light that is reflected from the corners of the domain when only DtN boundaries are used.
    Original languageUndefined
    Title of host publicationProceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08
    Place of PublicationPiscataway
    PublisherIEEE
    Pages124-126
    Number of pages3
    ISBN (Print)978-1-4244-2284-5
    DOIs
    Publication statusPublished - 2008

    Publication series

    Name
    PublisherIEEE
    NumberSupplement
    VolumeIEEE: CFP0

    Keywords

    • EWI-13423
    • METIS-251176
    • IR-64976

    Cite this

    Stoffer, R., Sopaheluwakan, A., Hammer, M., & van Groesen, E. W. C. (2008). A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations. In Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08 (pp. 124-126). [10.1109/MMET.2008.4580911] Piscataway: IEEE. https://doi.org/10.1109/MMET.2008.4580911
    Stoffer, Remco ; Sopaheluwakan, A. ; Hammer, Manfred ; van Groesen, Embrecht W.C. / A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations. Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08. Piscataway : IEEE, 2008. pp. 124-126
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    abstract = "By combining Dirichlet to Neumann (DtN) operators and Perfectly Matched Layers (PML’s) as boundary conditions on a rectangular domain on which the Helmholtz equation is solved, the disadvantages of both methods are greatly diminished. Due to the DtN operators, light may be accurately fluxed into the domain, while the PML’s absorb light that is reflected from the corners of the domain when only DtN boundaries are used.",
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    author = "Remco Stoffer and A. Sopaheluwakan and Manfred Hammer and {van Groesen}, {Embrecht W.C.}",
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    year = "2008",
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    Stoffer, R, Sopaheluwakan, A, Hammer, M & van Groesen, EWC 2008, A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations. in Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08., 10.1109/MMET.2008.4580911, IEEE, Piscataway, pp. 124-126. https://doi.org/10.1109/MMET.2008.4580911

    A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations. / Stoffer, Remco; Sopaheluwakan, A.; Hammer, Manfred; van Groesen, Embrecht W.C.

    Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08. Piscataway : IEEE, 2008. p. 124-126 10.1109/MMET.2008.4580911.

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    AB - By combining Dirichlet to Neumann (DtN) operators and Perfectly Matched Layers (PML’s) as boundary conditions on a rectangular domain on which the Helmholtz equation is solved, the disadvantages of both methods are greatly diminished. Due to the DtN operators, light may be accurately fluxed into the domain, while the PML’s absorb light that is reflected from the corners of the domain when only DtN boundaries are used.

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    Stoffer R, Sopaheluwakan A, Hammer M, van Groesen EWC. A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations. In Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08. Piscataway: IEEE. 2008. p. 124-126. 10.1109/MMET.2008.4580911 https://doi.org/10.1109/MMET.2008.4580911