| Graphene, a novel two dimensional material, has quite interesting electrical and optical properties. Starting from the band structure and dielectric dispersion, we discussed the advantages of graphene and its plasmonic applications in infrared and terahertz bands. We summarized some recent progresses of graphene for waveguides, gratings and metamaterials in the past few years. The concept of Fano resonance and its progress in plasmonics are discussed. Based on the different properties of graphene and metal, we designed a hybrid graphene-metal grating which could be employed to tune the Fano resonance actively. Mechanism behind was explained from the points of transition phase and the dipole moments in different materials in one grating unit. This grating system has abundant tunability and is applicable in THz communications. In addition, we also briefly reviewed some recent research on waveguide bending. A graphene based anisotropic metamaterial was proposed for perfect bending. The related function was analyzed with Maxwell equations together with the Finite Element Method. Arbitrary bending was achieved for transverse magnetic wave within a quite large frequency band. |