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We provide an analytical solution to the problem of scattering ofelectromagnetic radiation by a square-wave grating with a flat graphene sheeton top. We show that for deep groves there is a strong plasmonic response withlight absorption in the graphene sheet reaching more than 45%, due to theexcitation of surface plasmon-polaritons. The case of grating with a graphenesheet presenting an induced periodic modulation of the conductivity is alsodiscussed.

Exact solution for square-wave grating covered with graphene: Surface plasmon-polaritons in the THz range