| Summary: | This paper focuses on the problem of monochromatic terahertz TE-polarized wave propagation in a special type of circle cylindrical waveguides, the so-called Goubau line. The outer shell of the waveguide is covered with graphene characterized by complex surface conductivity. This covering affects electromagnetic wave propagation due to the generation of a surface current in graphene. The nonlinear interaction of graphene with the electromagnetic field is taken into account via a nonlinear term involving in graphene conductivity. Starting from the rigorous formulation for Maxwell’s equations with appropriate boundary and transmission conditions, we derive the dispersion equation for propagation constants. We discuss this result and point out some methods of studying the dispersion equation analytically. At the same time, we suggest numerical experiments shedding light on how cubic nonlinearity affects electromagnetic wave propagation.
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