We provide an analytical solution to the problem of scattering of electromagnetic radiation by a square-wave grating with a flat graphene sheet on top. We show that for deep groves there is a strong plasmonic response with light absorption in the graphene sheet reaching more than 45%, due to the excitation of surface plasmon-polaritons. The case of grating with a graphene sheet presenting an induced periodic modulation of the conductivity is also discussed.
@article{arxiv.1211.6358,
title = {Exact solution for square-wave grating covered with graphene: Surface plasmon-polaritons in the THz range},
author = {N. M. R. Peres and Yuliy V. Bludov and A. Ferreira and Mikhail I. Vasilevskiy},
journal= {arXiv preprint arXiv:1211.6358},
year = {2013}
}