  We derive the power spectrum of photons generated by charged particle moving
in parallel direction to the graphene-like structure with index of refraction
n. While the graphene sheet is conductive, some graphene-like structures, for
instance graphene with implanted ions, or, also 2D-glasses, are dielectric
media, and it means that it enables the experimental realization of the
Cerenkov radiation. We calculate it from the viewpoint of the Schwinger theory
of sources.
