Hybrid analytic-numeric method for light through a bounded planar dielectric structure

    Research output: Contribution to journalArticleAcademicpeer-review

    4 Citations (Scopus)
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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 numerical 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 (TIBCs) 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.
    Original languageUndefined
    Pages (from-to)161-176
    Number of pages16
    JournalJournal of nonlinear optical physics & materials
    Volume14
    Issue number2
    DOIs
    Publication statusPublished - Jun 2005

    Keywords

    • hybrid analytic-numeric method
    • IR-53376
    • EWI-13936
    • Transparent-Influx Boundary Conditions
    • Dirichlet-to-Neumann operator
    • Helmholtz problems
    • METIS-226023
    • Finite Element Method

    Cite this

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    title = "Hybrid analytic-numeric method for light through a bounded planar dielectric structure",
    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 numerical 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 (TIBCs) 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.",
    keywords = "hybrid analytic-numeric method, IR-53376, EWI-13936, Transparent-Influx Boundary Conditions, Dirichlet-to-Neumann operator, Helmholtz problems, METIS-226023, Finite Element Method",
    author = "J.B. Nicolau and {van Groesen}, {Embrecht W.C.}",
    year = "2005",
    month = "6",
    doi = "10.1142/S021886350500261X",
    language = "Undefined",
    volume = "14",
    pages = "161--176",
    journal = "Journal of nonlinear optical physics & materials",
    issn = "0218-8635",
    publisher = "World Scientific Publishing Co. Pte Ltd",
    number = "2",

    }

    Hybrid analytic-numeric method for light through a bounded planar dielectric structure. / Nicolau, J.B.; van Groesen, Embrecht W.C.

    In: Journal of nonlinear optical physics & materials, Vol. 14, No. 2, 06.2005, p. 161-176.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Hybrid analytic-numeric method for light through a bounded planar dielectric structure

    AU - Nicolau, J.B.

    AU - van Groesen, Embrecht W.C.

    PY - 2005/6

    Y1 - 2005/6

    N2 - 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 numerical 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 (TIBCs) 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.

    AB - 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 numerical 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 (TIBCs) 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.

    KW - hybrid analytic-numeric method

    KW - IR-53376

    KW - EWI-13936

    KW - Transparent-Influx Boundary Conditions

    KW - Dirichlet-to-Neumann operator

    KW - Helmholtz problems

    KW - METIS-226023

    KW - Finite Element Method

    U2 - 10.1142/S021886350500261X

    DO - 10.1142/S021886350500261X

    M3 - Article

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    SP - 161

    EP - 176

    JO - Journal of nonlinear optical physics & materials

    JF - Journal of nonlinear optical physics & materials

    SN - 0218-8635

    IS - 2

    ER -