Journal of NanophotonicsCollective resonant modes of a metasurface<xref ref-type="fn" rid="fn1" /<
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A periodic layer of resonant scatterers was considered in the dipolar approximation. The field diffracted by the layer has an asymptotic expression in terms of an impedance operator, which leads to a description of the layer by means of effective properties. Surface Bloch modes appear as a collective effect due to the resonances of the scatterers.