Grating diffraction and Wood's anomalies at two-dimensionally periodic impedance surfaces

Frank Falco, Theodor Tamir, Kok-Ming Leung

    Research output: Contribution to journalArticle

    Abstract

    We address the problem of plane-wave scattering and Wood's anomalies at two-dimensional (2-D) periodic surfaces by employing a simplified grating model given by a planar surface whose impedance varies sinusoidally along two orthogonal directions. We obtain a rigorous solution to the corresponding boundary-value problem in terms of an infinite set of coupled recurrence equations. When truncated for computational purposes, this solution is in the form of a banded matrix, which we solve by direct methods and also by a highly efficient iterated matrix procedure. Numerical results are presented for symmetric and nonsymmetric incidence cases, and we show that certain diffracted fields do not depolarize in the former case. The expected Wood's anomalies of both Rayleigh and leaky-wave types are confirmed, and their location in wavelength space is numerically demonstrated for 2-D periodic configurations.

    Original languageEnglish (US)
    Pages (from-to)1621-1634
    Number of pages14
    JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
    Volume21
    Issue number9
    DOIs
    StatePublished - 2004

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    Diffraction gratings
    Electric Impedance
    Wood
    Boundary value problems
    Scattering
    Recurrence
    Wavelength
    Incidence
    Direction compound

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Computer Vision and Pattern Recognition

    Cite this

    Grating diffraction and Wood's anomalies at two-dimensionally periodic impedance surfaces. / Falco, Frank; Tamir, Theodor; Leung, Kok-Ming.

    In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 21, No. 9, 2004, p. 1621-1634.

    Research output: Contribution to journalArticle

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