Large spatial Goos-Hänchen shifts from quasicrystals with graphene.

• Quasicrystals with graphene can enhance the reflection of the band edge states. • Goos-Hänchen shifts could be as high as 104 times of wavelength. • Goos-Hänchen shifts may be tuned by incident wavelength and angle. We investigate the spatial Goos-Hänchen (GH) shift of reflected beam from quasicrystals composed of Fibonacci dielectrics and graphene. The quasicrystals are composed of two symmetrical Fibonacci dielectrics and graphene is embedded in the center of the quasicrystals. The compound structure could induce enhanced band edge states, around which the complex phases of reflection coefficients change dramatically with the light wavelength. Consequently, large spatial GH shifts which may be negative and positive are achieved. Furthermore, the signs of GH shifts may be tuned by the incident wavelength conveniently. This may have potential applications for highly sensitive sensors. [ABSTRACT FROM AUTHOR]