Variational characterization of resonant states in some integrated optical devices

Embrecht W.C. van Groesen

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    Abstract

    Two examples from integrated optics are described that motivate the use of explicit variational characterizations for physical parameters that are relevant for the functioning of optical devices. For 1D optical gratings the boundary of the bandgaps, and for 2D square micro-resonators the resonant frequency, are fromulated as eigenvalues of the governing Helmholtz equation. This requires to define the set on which the corresponding functional is optimised in an appropriate way, depending on the application
    Original languageEnglish
    Title of host publicationIndustrial Mathematics
    EditorsMohan C. Joshi, Amiya Kumar Pani, Sanjeev V. Sanjeev
    Place of PublicationNew Delhi
    PublisherNarosa Publishing House
    Pages195-204
    Number of pages10
    ISBN (Print)81-7319-577-3
    Publication statusPublished - 2006

    Keywords

    • EWI-8875
    • IR-55106
    • METIS-230171

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