Scattering properties of particles placed on a metal film deposited on a glass prism are studied in detail using a computer implementation of the discrete source method. The presence of scattering cross-section resonances in the region of angles of incidence of a plane wave has been established. The possibility of controlling the radiation directionality in the resonance range is demonstrated. Conditions that permit one to increase the resonance intensity by an order of magnitude have been found.
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