Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization

Alyona Ivanova, Remco Stoffer, L.J. Kauppinen, Manfred Hammer

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

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    Abstract

    In order to reduce the computational effort we develop a method for 3D-to-2D dimensionality reduction of scattering problems in photonics. Contrary to the `standard' Effective Index Method the effective parameters of the reduced problem are always rigorously defined using the variational technique, based on the vectorial 3D Maxwell equations. Results for a photonic crystal slab waveguide show that this approach predicts the location of the bandgap and other spectral features much more precisely than any `standard' EIM approximation.
    Original languageUndefined
    Title of host publicationPIERS 2009 Moscow Proceedings
    PublisherThe Electromagnetics Academy
    Pages1038-1042
    Number of pages5
    ISBN (Print)978-1-934142-10-3
    Publication statusPublished - 2009

    Publication series

    Name
    PublisherThe Electromagnetics Academy

    Keywords

    • METIS-264021
    • EWI-16053
    • IR-67593

    Cite this

    Ivanova, A., Stoffer, R., Kauppinen, L. J., & Hammer, M. (2009). Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization. In PIERS 2009 Moscow Proceedings (pp. 1038-1042). The Electromagnetics Academy.
    Ivanova, Alyona ; Stoffer, Remco ; Kauppinen, L.J. ; Hammer, Manfred. / Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization. PIERS 2009 Moscow Proceedings. The Electromagnetics Academy, 2009. pp. 1038-1042
    @inproceedings{bd314595413545ad9b7c25fd20e3b16d,
    title = "Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization",
    abstract = "In order to reduce the computational effort we develop a method for 3D-to-2D dimensionality reduction of scattering problems in photonics. Contrary to the `standard' Effective Index Method the effective parameters of the reduced problem are always rigorously defined using the variational technique, based on the vectorial 3D Maxwell equations. Results for a photonic crystal slab waveguide show that this approach predicts the location of the bandgap and other spectral features much more precisely than any `standard' EIM approximation.",
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    author = "Alyona Ivanova and Remco Stoffer and L.J. Kauppinen and Manfred Hammer",
    year = "2009",
    language = "Undefined",
    isbn = "978-1-934142-10-3",
    publisher = "The Electromagnetics Academy",
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    Ivanova, A, Stoffer, R, Kauppinen, LJ & Hammer, M 2009, Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization. in PIERS 2009 Moscow Proceedings. The Electromagnetics Academy, pp. 1038-1042.

    Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization. / Ivanova, Alyona; Stoffer, Remco; Kauppinen, L.J.; Hammer, Manfred.

    PIERS 2009 Moscow Proceedings. The Electromagnetics Academy, 2009. p. 1038-1042.

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

    TY - GEN

    T1 - Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization

    AU - Ivanova, Alyona

    AU - Stoffer, Remco

    AU - Kauppinen, L.J.

    AU - Hammer, Manfred

    PY - 2009

    Y1 - 2009

    N2 - In order to reduce the computational effort we develop a method for 3D-to-2D dimensionality reduction of scattering problems in photonics. Contrary to the `standard' Effective Index Method the effective parameters of the reduced problem are always rigorously defined using the variational technique, based on the vectorial 3D Maxwell equations. Results for a photonic crystal slab waveguide show that this approach predicts the location of the bandgap and other spectral features much more precisely than any `standard' EIM approximation.

    AB - In order to reduce the computational effort we develop a method for 3D-to-2D dimensionality reduction of scattering problems in photonics. Contrary to the `standard' Effective Index Method the effective parameters of the reduced problem are always rigorously defined using the variational technique, based on the vectorial 3D Maxwell equations. Results for a photonic crystal slab waveguide show that this approach predicts the location of the bandgap and other spectral features much more precisely than any `standard' EIM approximation.

    KW - METIS-264021

    KW - EWI-16053

    KW - IR-67593

    M3 - Conference contribution

    SN - 978-1-934142-10-3

    SP - 1038

    EP - 1042

    BT - PIERS 2009 Moscow Proceedings

    PB - The Electromagnetics Academy

    ER -

    Ivanova A, Stoffer R, Kauppinen LJ, Hammer M. Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization. In PIERS 2009 Moscow Proceedings. The Electromagnetics Academy. 2009. p. 1038-1042