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Meta-materials are one of the important discussions of condensed matterswhich have unusual optical properties. They can be used to regulate light andwave propagation. Natural hyperbolic and non-convex plasmons are thecharacteristics of meta-materials that are observed in these materials. In thispaper, we have studied Beryllium-Graphene-Beryllium (BeCBe) three-layer opticalproperties and have shown this material has hyperbolic plasmon in the THzfrequency region and non-convex plasmons. We have shown most of the plasmonenergy propagation along the $q_y$ axis for the hyperbolic region. Also, it canbe seen that there is an elliptic case only in 1029.71 THz frequency. Thestarting 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 offar more free electrons in the BeCBe plasmonic material, the presence of thevisible region in the third hyperbolic window causes a high plasma frequency.

The transition from non-convex region to hyperbolic region and vice versa in the Beryllium-Graphene-Beryllium three-layer structure: Plasmonics