The birefringence of reflection and transmission as well as their corresponding Goos–Hänchen shifts are investigated with complex conductivity in a four level chiral atomic medium. The left circularly polarized (LCP) beam and right circularly polarized (RCP) beam obey the normalization condition \(|R^{(R,L)}|+|T^{(R,L)}|=1\) with forward and backward currents as well as coupled driving fields parameters at the interface of a lossy chiral medium of \(|A^{(R,L)}|\simeq 0\) and polystyrene. For the birefringent transmission, the positive GH-shifts are reported while for the birefringent reflection, the negative GH-shifts are measured. The maximum GH-shift in reflections of RCP and LCP beams is measured to \(S^{(R,L)}_{r}=-10\lambda\) and that in the transmission is measured to \(S^{(R,L)}_{t}=10\lambda\) with forward and backward currents of complex conductivity. Furthermore, maximum values of GH-shifts in reflection and transmission of LCP beams are calculated to \(\pm 40\lambda\) and RCP beams are calculated to \(\pm 10\lambda\) with control field Rabi frequency and backward current variation. The results indicate possible uses in the designing of optical and conductive sensors.
