Abstract

The problem on electromagnetic waves propagation in a two-dimensional periodic array of zinc oxide nano-waveguides covered with a thin metal film is solved by the method of variables separation in cylindrical coordinates. The numerical results obtained by the method are in good agreement with the results computed by the commercial software COMSOL MultiphysicsTM over all optical range and have minor deviations for the wavelength range close to the critical wavelength. Resonances located at the amplitude-frequency characteristics of optical nano-antennas may be interpreted as resonances of circular bilayer nano-wave-guide segments with the ZnO core covered with thin metal shell. The results may also be used to predict the resonance wavelength of two-dimensional periodic arrays of ZnO nanorods , coated with a thin metal layer and grown on a dielectric substrate.

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