Optical properties of 1D quasiperiodic structures containing graphene-based hyperbolic metamaterials

The optical properties of quasiperiodic structures such as Fibonacci, Thu-Morse, and Cantor sequences containing graphene-based hyperbolic metamaterial have been investigated using the transfer matrix method and the effective medium theory at the THz region. The hyperbolic metamaterials were considered as a homogeneous anisotropic medium with their optical axis tilted with respect to the interface of the layers. It is shown that these structures may have some band gaps in both the hyperbolic and elliptical frequency regions. Moreover, the effects of the hyperbolic metamaterial layers, optical axis orientation and the graphene surface conductivity on the transmission and absorption properties are discussed. It is found that the transmission and absorption of all selected structures for both TE and TM polarizations are different. Also, the transmission and absorption for TM polarization depend on both graphene chemical potential and the optical axis orientation of the hyperbolic metamaterial. However, in the TE polarization case, these optical properties of the structures only depend on graphene chemical potential. These interesting results may be used to design controllable terahertz polarizers or filters.

Automated summary

The optical properties of quasiperiodic structures with graphene-based hyperbolic metamaterial were studied in the THz region. These structures exhibited band gaps in both the hyperbolic and elliptical frequency regions. The effects of the hyperbolic metamaterial layers, optical axis orientation, and graphene surface conductivity on transmission and absorption properties were discussed. The results suggest potential applications in designing controllable terahertz polarizers or filters.