In this paper, the surface modes in a layered structure containing graphene based on quasiperiodic Fibonacci generations in the THz frequency range have been investigated. This investigation indicates the formation of surface modes in the transverse electric polarization. It is shown that these modes are tunable by varying the quasiperiodic generation orders. We will show that by increasing the generation orders, surface modes is shifted to lower frequencies. In addition, the electric field distribution of these modes is more localized in generations with lower orders.
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