  Meta-materials are one of the important discussions of condensed matters
which have unusual optical properties. They can be used to regulate light and
wave propagation. Natural hyperbolic and non-convex plasmons are the
characteristics of meta-materials that are observed in these materials. In this
paper, we have studied Beryllium-Graphene-Beryllium (BeCBe) three-layer optical
properties and have shown this material has hyperbolic plasmon in the THz
frequency region and non-convex plasmons. We have shown most of the plasmon
energy propagation along the $q_y$ axis for the hyperbolic region. Also, it can
be seen that there is an elliptic case only in 1029.71 THz frequency. The
starting point of the hyperbolic region occurs at the frequency of 289.31 THz,
which is the first and the narrowest hyperbolic window. Due to the existence of
far more free electrons in the BeCBe plasmonic material, the presence of the
visible region in the third hyperbolic window causes a high plasma frequency.
