Goos-Hänchen shifts in reflection and transmission of gain assisted parity time symmetric conductive medium

Abstract

The theoretical study of the manuscript explores the coefficients of reflection, transmission and their corresponding GH-shifts in a parity time (PT)-symmetric gain assisted four-level conductive medium. The dielectric function of a conductive medium is calculated using density matrix formalism and Maxwell's equations. The conductivity dependent coefficients of reflection, transmission and their corresponding GH-shifts are calculated from dielectric function of two media and free space permittivity. The reflection and transmission spectra obey PT-symmetry conditions and at the interface of a lossy medium of and polystyrene. Enhancement in GH-shifts is calculated with phase and amplitude of conductivity. Giant positive and negative GH-shifts in reflection are calculated to and . Similarly, giant positive and negative GH-shifts in transmission are calculated to and . The GH-shifts in reflection and transmission spectra also satisfy PT-symmetry conditions and . The results of the manuscript are useful for nano-processor technology.