Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver

Manfred Hammer

    Research output: Contribution to journal › Article › Academic › peer-review

    10 Citations (Scopus)
    64 Downloads (Pure)

    Abstract

    The incidence of thin-film-guided, in-plane unguided waves at oblique angles on straight discontinuities of dielectric slab waveguides, an early problem of integrated optics, is being re-considered. The 3-D frequency domain Maxwell equations reduce to a parametrized inhomogeneous vectorial problem on a 2-D computational domain, with transparent-influx boundary conditions. We propose a rigorous vectorial solver based on simultaneous expansions into polarized local slab eigenmodes along the two orthogonal cross section coordinates (quadridirectional eigenmode propagation QUEP). The quasi-analytical scheme is applicable to configurations with — in principle — arbitrary cross section geometries. Examples for a high-contrast facet of an asymmetric slab waveguide, for the lateral excitation of a channel waveguide, and for a step discontinuity between slab waveguides of different thicknesses are discussed.
    Original languageUndefined
    Pages (from-to)447-456
    Number of pages10
    JournalOptics communications
    Volume338
    DOIs
    Publication statusPublished - 1 Mar 2015

    Keywords

    • thin-film transitions
    • vectorial eigenmode expansion
    • slab waveguide discontinuities
    • waveguide facets
    • IR-92686
    • Integrated Optics
    • numerical / analyticalmodeling
    • METIS-312452
    • EWI-25287

    Cite this

    Hammer, Manfred. / Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver. In: Optics communications. 2015 ; Vol. 338. pp. 447-456.
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    title = "Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver",
    abstract = "The incidence of thin-film-guided, in-plane unguided waves at oblique angles on straight discontinuities of dielectric slab waveguides, an early problem of integrated optics, is being re-considered. The 3-D frequency domain Maxwell equations reduce to a parametrized inhomogeneous vectorial problem on a 2-D computational domain, with transparent-influx boundary conditions. We propose a rigorous vectorial solver based on simultaneous expansions into polarized local slab eigenmodes along the two orthogonal cross section coordinates (quadridirectional eigenmode propagation QUEP). The quasi-analytical scheme is applicable to configurations with — in principle — arbitrary cross section geometries. Examples for a high-contrast facet of an asymmetric slab waveguide, for the lateral excitation of a channel waveguide, and for a step discontinuity between slab waveguides of different thicknesses are discussed.",
    keywords = "thin-film transitions, vectorial eigenmode expansion, slab waveguide discontinuities, waveguide facets, IR-92686, Integrated Optics, numerical / analyticalmodeling, METIS-312452, EWI-25287",
    author = "Manfred Hammer",
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    year = "2015",
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    day = "1",
    doi = "10.1016/j.optcom.2014.09.087",
    language = "Undefined",
    volume = "338",
    pages = "447--456",
    journal = "Optics communications",
    issn = "0030-4018",
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    Hammer, M 2015, 'Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver', Optics communications, vol. 338, pp. 447-456. https://doi.org/10.1016/j.optcom.2014.09.087

    Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver. / Hammer, Manfred.

    In: Optics communications, Vol. 338, 01.03.2015, p. 447-456.

    Research output: Contribution to journal › Article › Academic › peer-review

    TY - JOUR

    T1 - Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver

    AU - Hammer, Manfred

    N1 - eemcs-eprint-25287

    PY - 2015/3/1

    Y1 - 2015/3/1

    N2 - The incidence of thin-film-guided, in-plane unguided waves at oblique angles on straight discontinuities of dielectric slab waveguides, an early problem of integrated optics, is being re-considered. The 3-D frequency domain Maxwell equations reduce to a parametrized inhomogeneous vectorial problem on a 2-D computational domain, with transparent-influx boundary conditions. We propose a rigorous vectorial solver based on simultaneous expansions into polarized local slab eigenmodes along the two orthogonal cross section coordinates (quadridirectional eigenmode propagation QUEP). The quasi-analytical scheme is applicable to configurations with — in principle — arbitrary cross section geometries. Examples for a high-contrast facet of an asymmetric slab waveguide, for the lateral excitation of a channel waveguide, and for a step discontinuity between slab waveguides of different thicknesses are discussed.

    AB - The incidence of thin-film-guided, in-plane unguided waves at oblique angles on straight discontinuities of dielectric slab waveguides, an early problem of integrated optics, is being re-considered. The 3-D frequency domain Maxwell equations reduce to a parametrized inhomogeneous vectorial problem on a 2-D computational domain, with transparent-influx boundary conditions. We propose a rigorous vectorial solver based on simultaneous expansions into polarized local slab eigenmodes along the two orthogonal cross section coordinates (quadridirectional eigenmode propagation QUEP). The quasi-analytical scheme is applicable to configurations with — in principle — arbitrary cross section geometries. Examples for a high-contrast facet of an asymmetric slab waveguide, for the lateral excitation of a channel waveguide, and for a step discontinuity between slab waveguides of different thicknesses are discussed.

    KW - thin-film transitions

    KW - vectorial eigenmode expansion

    KW - slab waveguide discontinuities

    KW - waveguide facets

    KW - IR-92686

    KW - Integrated Optics

    KW - numerical / analyticalmodeling

    KW - METIS-312452

    KW - EWI-25287

    U2 - 10.1016/j.optcom.2014.09.087

    DO - 10.1016/j.optcom.2014.09.087

    M3 - Article

    VL - 338

    SP - 447

    EP - 456

    JO - Optics communications

    JF - Optics communications

    SN - 0030-4018

    ER -

    Hammer M. Oblique incidence of semi-guided waves on rectangular slab waveguide discontinuities: A vectorial QUEP solver. Optics communications. 2015 Mar 1;338:447-456. https://doi.org/10.1016/j.optcom.2014.09.087

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