  We investigate the dispersion relations of TE resonances in different
graphene-dielectric structures. Previous work has shown that when a graphene
layer is brought into contact with a dielectric material, a gap can appear in
its electric band structure. This allows for the formation of TE-plasmons with
unusual dispersion relations. In addition, if the dielectric has a finite
thickness, graphene strongly modifies the behavior of the waveguiding modes by
introducing dissipation above a well-defined cutoff frequency thus providing
the possibility of mode filtering. This cutoff and the properties of
TE-plasmons are closely related to the pair-creation threshold of graphene thus
representing quantum mechanical effects that manifest themselves in the
electromagnetic response.
