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Proceedings Paper

Resonance diffraction of electromagnetic waves on impedance gratings under grazing incidence
Author(s): Nataliya A. Balakhonova; Alexandre V. Kats
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Paper Abstract

As it is well known, the diffraction of p- polarized wave on metal gratings may be accompa-nied by Wood type anomalies, caused by resonance excitation of surface plasmon polaritons. In the report we present the results of the analytical and numerical investigation of the reso-nance diffraction for grazing incidence on the gratings with period larger than the wavelength. In this case a number of diffracted orders, corresponding to evanescent waves may be close to the resonance simultaneously, i.e., we have multiple resonance case. We consider the high conducting plane surface with harmonically modulated surface impedance, presenting small parameter of the theory. Contrary to the case of single or double resonance case, the infinite set of the linear algebraic equations for the diffracted wave ampli-tudes cannot be reduced to one or two equations for the resonance wave amplitudes. But for the harmonic grating, the matrix of the system is Jacobi one and thus the solution may be presented in the continued fractions form. The results are analyzed as functions of the wavelength to grating period ratio 0.1...0.0003, and grazing angle 0...30 deg. It is shown that a number of evanescent wave am-plitudes can exceed amplitude of the incident wave and possess complicated behavior as func-tion of parameters. The specular reflectivity is of complicated behavior also and in some cases it is similar to the one obtained in numerical calculations and experiments for deep profile gratings.

Paper Details

Date Published: 16 October 2003
PDF: 8 pages
Proc. SPIE 5189, Surface Scattering and Diffraction III, (16 October 2003); doi: 10.1117/12.505047
Show Author Affiliations
Nataliya A. Balakhonova, Kharkiv Military Univ. (Ukraine)
Alexandre V. Kats, Usikov Institute for Radiophysics and Electronics (Ukraine)

Published in SPIE Proceedings Vol. 5189:
Surface Scattering and Diffraction III
Zu-Han Gu; Alexei A. Maradudin, Editor(s)

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