Transmission property of one-dimensional multilayer graphene–dielectric stack

The transmission property and field distribution of one-dimensional multilayer containing graphene sheets separated by dielectric slabs are theoretically studied in terahertz. It is shown that the multilayer graphene–dielectric stack supports a series of passband and stopband whose number increases with the dielectric thickness. The field distributions show that the transmission resonances in the passband are attributed to Fabry–Perot resonances in the dielectric layer and the node numbers that appear in the field distribution in each graphene–dielectric–graphene cavity can be quantitatively given. It is also noticed that these resonances lie within a certain characteristic frequency bands which are independent of the number of unit cells making up the structure. The low frequency edge of the passband is highly tunable by the Fermi energy and the layer number of graphene sheets, while the high frequency edge is just determined by the dielectric slab. When an impurity is introduced, a defect mode can appear inside the stopband and it can be adjusted by Fermi energy of graphene controlled via a gate voltage.