On an application of a 2D transparent-influx boundary condition for photonic crystals

J.B. Nicolau, A. Sopaheluwakan, Embrecht W.C. van Groesen

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    Abstract

    We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerically calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate Transparent-Influx Boundary Conditions (TIBC’s) on the boundaries of the square; these are incorporated into a variational formulation of the Helmholtz equation to obtain a FEM-implementation for the interior calculations. We illustrate the method for a two-dimensional finite photonic crystal formed by dielectric rods with a defect, and study the response of the structure for given influx.
    Original languageEnglish
    Title of host publicationProceedings of the 13th International Workshop on Optical Waveguide Theory and Numerical Modeling (OWTNM)
    EditorsX. Letartre
    Place of PublicationLyon
    PublisherEcole Centrale de Lyon
    Pages-
    Number of pages1
    ISBN (Print)not assigned
    Publication statusPublished - Apr 2005
    Event13th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2005 - Grenoble, France
    Duration: 8 Apr 20059 Apr 2005
    Conference number: 13
    https://www.owtnm-workshop.org/

    Conference

    Conference13th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2005
    Abbreviated titleOWTNM
    CountryFrance
    CityGrenoble
    Period8/04/059/04/05
    Internet address

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    Keywords

    • Transparent-Influx Boundary Conditions
    • IR-65067
    • METIS-226040
    • Finite Element Method
    • Helmholtz problems
    • Dirichlet-to-Neumann operator
    • Photonic crystals
    • hybrid analytic-numeric method
    • EWI-13931

    Cite this

    Nicolau, J. B., Sopaheluwakan, A., & van Groesen, E. W. C. (2005). On an application of a 2D transparent-influx boundary condition for photonic crystals. In X. Letartre (Ed.), Proceedings of the 13th International Workshop on Optical Waveguide Theory and Numerical Modeling (OWTNM) (pp. -). Lyon: Ecole Centrale de Lyon.