Enhanced Goos-Hänchen shift of graphene via hybrid structure with dielectric grating, metallic layer and photonic crystal

Abstract

Despite the Goos-Hänchen (GH) shifts have recently been discussed in metallic multilayer or dielectric grating structure with monolayer graphene, its investigation on their combined structure is quite limited. In this work, we theoretically propose a new hybrid structure consisting of single layer graphene (SLG), a dielectric grating, a metal film , and one-dimensional photonic crystal (1DPC) and reveal this structure can achieve the GH shift as high as 7430 times of the incident wavelength, which is induced by the surface plasmon resonance (SPR) in the metal layer and the waveguide mode in the 1DPC. Additionally, we find that the positive or negative sign of the GH shift in this structure can be engineering by Fermi energy of SLG, which is unattainable in monolayer graphene based dielectric grating structure. Our results offer the new platform for enhancing and controlling GH shifts. • The coupling of the SPR of the metallic and the waveguide mode of 1DPC successfully enhances the GH shifts of the structure. • The magnitude of the GH shift of the hybrid structure can be manipulated by the Fermi energy of monolayer graphene. • Realized the control of positive and negative sign of GH shift.