Dependence of Goos-Hänchen shifts on Fermi energy and scattering time of monolayer graphene

Abstract

We determine the dependence of the Goos-H ̈anchen shifts on the Fermi energy (E_F) and scattering time (Ï„) of a monolayer graphene under external reflection. We use the conductivity of the graphene at terahertz range,σ = 2e² /πħ² iE_f / ω+ Ï„/i . We observe that the dimensionless spatial Goos-Hänchen shift and the Fermi energy were inversely related to each other when using p-polarized light. The angular Goos-Hänchen shift of an s-polarized light, on the other hand,is directly related to the scattering time of the graphene. 3 4 {\displaystyle {\tfrac {3}{4}}}  3 4 {\displaystyle {\tfrac {3}{4}}}  3 4 {\displaystyle {\tfrac {3}{4}}}  3 4 {\displaystyle {\tfrac {3}{4} 3 4 {\displaystyle {\tfrac {3}{4}}} 3 4 {\displaystyle {\tfrac {