Polarized control of Goos–Hänchen shifts in four-level quantized graphene nanostructures

In this paper, we discuss Goos–Hänchen (GH) shifts of both reflected and transmitted light beams through a cavity containing single-layer graphene nanostructures. The Landau levels of a single layer graphene medium under a strong magnetic field can interact with infrared and terahertz signal radiation. Therefore, the GH shifts in both reflected and transmitted light beams can be obtained in the infrared and terahertz regions of radiation. We have realized that by controlling some adjustable parameters of the system, such as frequency detuning of applied fields, the Rabi frequency of a coupling field and the polarization of coupling light, the GH shifts can be manipulated in the infrared and terahertz regions. Moreover, the thickness of the intracavity medium is also considered as an important parameter on the behavior of GH shifts spectra.