Tunable GH shift based on hyperbolic metamaterials composed of graphene and dielectric

We theoretically analyze the enhancement and regulation of Goos-Hänchen (GH) shift in hyperbolic metamaterials in the near-infrared band. For a given incident wavelength, photonic crystals composed of graphene and dielectric present hyperbolic dispersion characteristics by modulating the Fermi energy of graphene. The phase of the reflection coefficient changes dramatically near the phase transition from hyperbolic dispersion to elliptic dispersion, and subsequently giant GH shift is achieved at the resonant angle. The largest GH shift is as high as 300λ. Great GH shift can be effectively realized by regulating the layers of graphene and the thickness of the dielectric as well. It is hoped that this research may provide theoretical guidance for the design of high-sensitivity sensors based on the GH shift effect in hyperbolic metamaterials.