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In this paper, we study and simulate AND and OR logic gates in a new structure of plasmonic two-dimensional waveguide. Using periodic arrays of graphene and silicon, an anisotropic structure is designed for the clad of waveguide. Plasmon wave in this waveguide is propagated in a core of MgF2 which is surrounded between two graphene-silicon anisotropic arrays. Then with the change of graphene chemical potential in order to control the length of plasmon wave propagation in the waveguide, AND and OR logic gates are designed. The simulations in the frequency of 30 THz, has been performed using the finite element method (FEM) with the help of COMSOL software.
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