Investigation of the Goos–Hänchen shift in a multilayered bi-anisotropic structure coated with a graphene monolayer

This study presents a theoretical analysis of the Goos–Hänchen shift for both co- and cross-components of s- and p-polarized light waves incident on a multilayered bi-anisotropic structure consisting of three slabs coated with a graphene monolayer. By utilizing the transfer matrix method, we analyze the reflectance properties of the system and systematically investigate the impact of key parameters, including the Fermi energy, slab thicknesses, and the position of the graphene layer within the structure. Our findings indicate that tuning the Fermi energy affects the shift’s amplitude with the fact that a significant shift is obtained for the co-component of the p-polarized light wave. Variations in graphene layer position and slab thicknesses provide smooth behavior of shift for co-polarized light waves, while more oscillations have been shown for the cross-polarized light wave. As a validation of our model, we recover previously published results for the reflectance of bi-anisotropic multilayered slabs by setting the graphene conductivity to zero.