Tuning surface waves in graphene-covered metamaterial by varying the chemical potential of graphene

Highlights: • Obtained the correct characteristic equations and numerical results. • Explained the propagation of surface waves in GHz range. • Surface mode transforms to bulk one under some condition. In this work, we have studied the surface waves propagating on the interface of graphene-covered metamaterial in GHz range. We have used the equations of electromagnetic field and impedance boundary condition approach to obtain the characteristic equation. The surface waves are not supported in all frequency ranges, and the dispersive curves of TM and TE polarized wave do not overlap in same wave vector spaces. The numerical solution can explain the propagation behavior of electromagnetic waves very well. The results show that it is able to tune surface waves through changing the chemical potential of graphene. We also have discussed the effective wavenumber and the propagation length as the chemical potential is changed. TM polarized waves is more sensitive when changing the chemical potential.