Plasmonic systems of two- and three-dimensional ordered arrays of metallic nanodisks are studied by means of full-electrodynamic calculations using the layer-multiple-scattering method. In particular, we investigate the electromagnetic interaction of waveguide modes of an indium tin oxide film on a quartz substrate with collective-plasmon modes of a two-dimensional periodic overlayer of gold nanodisks and obtain excellent quantitative agreement with experiment. Moreover, we report a thorough analysis of the optical properties of three-dimensional photonic crystals of metallic nanodisks.
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