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

Frank Falco, Theodor Tamir, K. Ming Leung

    Research output: Contribution to journalArticlepeer-review


    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
    Issue number9
    StatePublished - Sep 2004

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Atomic and Molecular Physics, and Optics
    • Computer Vision and Pattern Recognition


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