Using the method of separation of variables in the cylindrical coordinate system, the problem of propagation of electromagnetic waves in a 2D periodic lattice of ZnO nanwaveguides covered with a thin metal film is solved. Comparison of calculation results with results of simulation with the use of the COMSOL Multiphysics™ package based on the finite-element method is performed. The obtained results are used for forecasting the resonance wavelengths of a 2D periodic lattice of ZnO nanorods grown on a dielectric substrate.
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