Display options
Cite
Falco F, Tamir T, Leung KM. Grating diffraction and Wood's anomalies at two-dimensionally periodic impedance surfaces. J Opt Soc Am A Opt Image Sci Vis. 2004;21(9):1621-34doi: 10.1364/josaa.21.001621.
Falco, F., Tamir, T., & Leung, K. M. (2004). Grating diffraction and Wood's anomalies at two-dimensionally periodic impedance surfaces. Journal of the Optical Society of America. A, Optics, image science, and vision, 21(9), 1621-34. https://doi.org/10.1364/josaa.21.001621
Falco, Frank, et al. "Grating diffraction and Wood's anomalies at two-dimensionally periodic impedance surfaces." Journal of the Optical Society of America. A, Optics, image science, and vision vol. 21,9 (2004): 1621-34. doi: https://doi.org/10.1364/josaa.21.001621
Falco F, Tamir T, Leung KM. Grating diffraction and Wood's anomalies at two-dimensionally periodic impedance surfaces. J Opt Soc Am A Opt Image Sci Vis. 2004 Sep;21(9):1621-34. doi: 10.1364/josaa.21.001621. PMID: 15384428.
Copy Download .nbib Format: NLM
Share it on

J Opt Soc Am A Opt Image Sci Vis. 2004 Sep;21(9):1621-34. doi: 10.1364/josaa.21.001621.

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

Journal of the Optical Society of America. A, Optics, image science, and vision

Frank Falco, Theodor Tamir, K Ming Leung

Affiliations

  1. Electromagnetic Sciences Directorate, Riverside Research Institute, 156 William Street, New York, New York 10038, USA. [email protected]

PMID: 15384428 DOI: 10.1364/josaa.21.001621

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.

Publication Types