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

J.B. Nicolau, 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 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

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