Abstract
This chapter is dedicated to lattice resonances (LRs) in metasurfaces (MSs). It presents basic concepts used for explaining LR appearance, in particular, excitation of surface waves by radiating elementary resonances and diffraction of these waves at interaction with MS lattices. General phenomena related to LRs are described: LR strengthening at approaching Rayleigh anomalies, sharp line shapes in resonance spectra, and red shifting of resonances at increasing lattice constants. Specific effects, controlled by MSs’ configurations, are also discussed; in particular, overlapping of magnetic and electric resonances in square-latticed MSs without opening transmission windows and characteristics for Kerker’s conditions. In MSs with rectangular unit cells, coincidence of resonances due to red shifting supports transmission and also marks a reversal of the resonant scattering type. In field patterns, LRs are marked by enhancement of electric fields near the resonators. These fields do not affect the strength of dipolar resonances, but take part in coherent oscillations with dipolar fields.
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