HCMT models of optical microring-resonator circuits

Manfred Hammer

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    Circuits of dielectric integrated optical microring resonators are addressed through a two-dimensional hybrid analytical/numerical coupled mode theory (HCMT) model. Analytical modes of all straight and curved cores form templates for the optical fields of the entire circuits. Our variational technique then generates solutions for the amplitude functions in their natural Cartesian and polar coordinates, discretized by one-dimensional finite elements. Bidirectional wave propagation through all channels and pronounced reflections can be taken into account. The series of examples includes rings coupled in parallel, rows of cavities (coupled resonator optical waveguides) of varying lengths, a triangular photonic molecule, and a resonator with a slit ring to illustrate the role of intra-cavity reflections.
    Original languageUndefined
    Pages (from-to)2237-2246
    Number of pages10
    JournalJournal of the Optical Society of America. B: Optical physics
    Volume27
    Issue number11
    DOIs
    Publication statusPublished - 2010

    Keywords

    • EWI-18576
    • numerical / analyticalmodeling
    • IR-73761
    • Coupled mode theory
    • METIS-276115
    • Opticalmicroring-resonators

    Cite this

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    title = "HCMT models of optical microring-resonator circuits",
    abstract = "Circuits of dielectric integrated optical microring resonators are addressed through a two-dimensional hybrid analytical/numerical coupled mode theory (HCMT) model. Analytical modes of all straight and curved cores form templates for the optical fields of the entire circuits. Our variational technique then generates solutions for the amplitude functions in their natural Cartesian and polar coordinates, discretized by one-dimensional finite elements. Bidirectional wave propagation through all channels and pronounced reflections can be taken into account. The series of examples includes rings coupled in parallel, rows of cavities (coupled resonator optical waveguides) of varying lengths, a triangular photonic molecule, and a resonator with a slit ring to illustrate the role of intra-cavity reflections.",
    keywords = "EWI-18576, numerical / analyticalmodeling, IR-73761, Coupled mode theory, METIS-276115, Opticalmicroring-resonators",
    author = "Manfred Hammer",
    note = "10.1364/JOSAB.27.002237",
    year = "2010",
    doi = "10.1364/JOSAB.27.002237",
    language = "Undefined",
    volume = "27",
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    HCMT models of optical microring-resonator circuits. / Hammer, Manfred.

    In: Journal of the Optical Society of America. B: Optical physics, Vol. 27, No. 11, 2010, p. 2237-2246.

    Research output: Contribution to journalArticleAcademicpeer-review

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    T1 - HCMT models of optical microring-resonator circuits

    AU - Hammer, Manfred

    N1 - 10.1364/JOSAB.27.002237

    PY - 2010

    Y1 - 2010

    N2 - Circuits of dielectric integrated optical microring resonators are addressed through a two-dimensional hybrid analytical/numerical coupled mode theory (HCMT) model. Analytical modes of all straight and curved cores form templates for the optical fields of the entire circuits. Our variational technique then generates solutions for the amplitude functions in their natural Cartesian and polar coordinates, discretized by one-dimensional finite elements. Bidirectional wave propagation through all channels and pronounced reflections can be taken into account. The series of examples includes rings coupled in parallel, rows of cavities (coupled resonator optical waveguides) of varying lengths, a triangular photonic molecule, and a resonator with a slit ring to illustrate the role of intra-cavity reflections.

    AB - Circuits of dielectric integrated optical microring resonators are addressed through a two-dimensional hybrid analytical/numerical coupled mode theory (HCMT) model. Analytical modes of all straight and curved cores form templates for the optical fields of the entire circuits. Our variational technique then generates solutions for the amplitude functions in their natural Cartesian and polar coordinates, discretized by one-dimensional finite elements. Bidirectional wave propagation through all channels and pronounced reflections can be taken into account. The series of examples includes rings coupled in parallel, rows of cavities (coupled resonator optical waveguides) of varying lengths, a triangular photonic molecule, and a resonator with a slit ring to illustrate the role of intra-cavity reflections.

    KW - EWI-18576

    KW - numerical / analyticalmodeling

    KW - IR-73761

    KW - Coupled mode theory

    KW - METIS-276115

    KW - Opticalmicroring-resonators

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    DO - 10.1364/JOSAB.27.002237

    M3 - Article

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    JO - Journal of the Optical Society of America. B: Optical physics

    JF - Journal of the Optical Society of America. B: Optical physics

    SN - 0740-3224

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    ER -