Semiconductor Physics, Quantum Electronics & Optoelectronics. 2012. V. 15, N 3. P. 204-208.
DOI: https://doi.org/10.15407/spqeo15.03.204


Resonance scattering and absorption of light by finite two-period gratings of circular silver nanowires
D.M. Natarov1, R. Sauleau2, A.I. Nosich1

1Institute of Radio-Physics and Electronics, NAS of Ukraine, 12, Proskury str. 61085 Kharkiv, Ukraine E-mail: den.natarov@gmail.com
2IETR, University of Rennes 1, Campus Beaulieu, bat 11-D, 35042 Rennes Cedex, France E-mail: ronan.sauleau@univ-rennes1.fr

Abstract. We consider the two-dimensional scattering of the H-polarized electromagnetic plane waves of the visible range by three types of gratings made of periodically arranged circular cylindrical sub-wavelength wires. Using the field expansions in local coordinates and addition theorems for cylindrical functions, we obtain a block-type matrix equation for the field expansion coefficients. This equation is of the Fredholm second-kind form that guarantees convergence of numerical solution. The scattering and absorption cross-sections and the near-field patterns are computed. The interplay of plasmon and grating-type resonances is studied for two and three-layer gratings of identical periods, stacked two-period gratings, and in-line two-period gratings made of nano-diameter silver wires.

Keywords: plasmon resonance, grating resonance, finite grating, nanowire, scattering, absorption, cross-section.

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