On effective index approximations of photonic crystal slabs

Manfred Hammer, Alyona Ivanova

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

    22 Citations (Scopus)
    13 Downloads (Pure)

    Abstract

    To assess the quality of effective index approximations for photonic crystal slabs, we consider a reduction of 2-D problems for waveguide Bragg gratings to 1-D, and compare with rigorous 2-D solutions. A variational procedure permits to establish reasonable effective indices even if locally no guided modes exist.
    Original languageUndefined
    Title of host publicationThe XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling
    Place of PublicationJena
    PublisherFraunhofer Institute for Applied Optics and Precision Engineering
    Pages7
    Number of pages1
    ISBN (Print)978-3-00-027521-0
    Publication statusPublished - 17 Apr 2009
    Event18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009 - Jena, Germany
    Duration: 17 Apr 200918 Apr 2009
    Conference number: 18
    https://www.owtnm-workshop.org/

    Publication series

    NamePhotonic Crystals
    PublisherFraunhofer Institute for Applied Optics and Precision Engineering
    VolumeSession 2 - Paper 2

    Conference

    Conference18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009
    Abbreviated titleOWTNM
    CountryGermany
    CityJena
    Period17/04/0918/04/09
    Internet address

    Keywords

    • METIS-266528
    • EWI-17848
    • IR-71245

    Cite this

    Hammer, M., & Ivanova, A. (2009). On effective index approximations of photonic crystal slabs. In The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling (pp. 7). (Photonic Crystals; Vol. Session 2 - Paper 2). Jena: Fraunhofer Institute for Applied Optics and Precision Engineering.
    Hammer, Manfred ; Ivanova, Alyona. / On effective index approximations of photonic crystal slabs. The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling. Jena : Fraunhofer Institute for Applied Optics and Precision Engineering, 2009. pp. 7 (Photonic Crystals).
    @inproceedings{288ad0ee43c244009b4d9ee2a5f33ce0,
    title = "On effective index approximations of photonic crystal slabs",
    abstract = "To assess the quality of effective index approximations for photonic crystal slabs, we consider a reduction of 2-D problems for waveguide Bragg gratings to 1-D, and compare with rigorous 2-D solutions. A variational procedure permits to establish reasonable effective indices even if locally no guided modes exist.",
    keywords = "METIS-266528, EWI-17848, IR-71245",
    author = "Manfred Hammer and Alyona Ivanova",
    year = "2009",
    month = "4",
    day = "17",
    language = "Undefined",
    isbn = "978-3-00-027521-0",
    series = "Photonic Crystals",
    publisher = "Fraunhofer Institute for Applied Optics and Precision Engineering",
    pages = "7",
    booktitle = "The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling",

    }

    Hammer, M & Ivanova, A 2009, On effective index approximations of photonic crystal slabs. in The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling. Photonic Crystals, vol. Session 2 - Paper 2, Fraunhofer Institute for Applied Optics and Precision Engineering, Jena, pp. 7, 18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009, Jena, Germany, 17/04/09.

    On effective index approximations of photonic crystal slabs. / Hammer, Manfred; Ivanova, Alyona.

    The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling. Jena : Fraunhofer Institute for Applied Optics and Precision Engineering, 2009. p. 7 (Photonic Crystals; Vol. Session 2 - Paper 2).

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

    TY - GEN

    T1 - On effective index approximations of photonic crystal slabs

    AU - Hammer, Manfred

    AU - Ivanova, Alyona

    PY - 2009/4/17

    Y1 - 2009/4/17

    N2 - To assess the quality of effective index approximations for photonic crystal slabs, we consider a reduction of 2-D problems for waveguide Bragg gratings to 1-D, and compare with rigorous 2-D solutions. A variational procedure permits to establish reasonable effective indices even if locally no guided modes exist.

    AB - To assess the quality of effective index approximations for photonic crystal slabs, we consider a reduction of 2-D problems for waveguide Bragg gratings to 1-D, and compare with rigorous 2-D solutions. A variational procedure permits to establish reasonable effective indices even if locally no guided modes exist.

    KW - METIS-266528

    KW - EWI-17848

    KW - IR-71245

    M3 - Conference contribution

    SN - 978-3-00-027521-0

    T3 - Photonic Crystals

    SP - 7

    BT - The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling

    PB - Fraunhofer Institute for Applied Optics and Precision Engineering

    CY - Jena

    ER -

    Hammer M, Ivanova A. On effective index approximations of photonic crystal slabs. In The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling. Jena: Fraunhofer Institute for Applied Optics and Precision Engineering. 2009. p. 7. (Photonic Crystals).