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

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 [Formula: see text] and [Formula: see text] at the interface of a lossy medium of [Formula: see text] 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 [Formula: see text] and [Formula: see text]. Similarly, giant positive and negative GH-shifts in transmission are calculated to [Formula: see text] and [Formula: see text]. The GH-shifts in reflection and transmission spectra also satisfy PT-symmetry conditions [Formula: see text] and [Formula: see text]. The results of the manuscript are useful for nano-processor technology.