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Optik

Coherent manipulation of Brewster angles and phase shifts for both left right circularly polarized beams in chiral medium

Zeeshan Ahmad, Muhammad Bilal, Ebrahem A. Algehyne, Wafa F. Alfwzan

Published May 15, 2024• 0 citations
Publisher
DOI
10.1016/j.ijleo.2024.171865

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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.

Scientific Reports•Apr 17, 2025•0 citations
A four level chiral medium is considered to analyze and investigate theoretically the reflection/transmission coefficients of right circularly polarized (RCP) beam and left circularly polarized (LCP) beam as well as their corresponding GH-shifts under the effect of compton scattering. Density matrix formalism is used for calculation of electric and magnetic probe fields coherence. The polarization and magnetization are calculated from probes coherence terms in the chiral medium. The electric and magnetic susceptibilities as well as chiral coefficients are related with polarization and magnetization. The refractive indices of RCP and LCP beams under compton scattering effect is modified from the electric/magnetic susceptibilities, chiral coefficients, mass and charge of electron as well as compton scattering angle. The giant positive and negative birefringent Goos–Hänchen (GH) shifts in reflection and transmission beams are investigated in this manuscript under Compton scattering effect. The RCP and LCP beams obey the normalization condition ∣R(+,−)∣+∣T(+,−)∣=1|R^{(+,-)}|+|T^{(+,-)}|=1∣R(+,−)∣+∣T(+,−)∣=1 at the interface of a lossy chiral medium of ∣A(+,−)∣≃0|A^{(+,-)}|\simeq 0∣A(+,−)∣≃0 and a thin sheet of balsa wood under the effect of compton scattering angle, incident angle, probe field detuning, control field Rabi frequency, phases of electric and magnetic fields and phase of superposition states. Significant positive/negative giant GH-shifts in reflection and transmission beams are investigated. The results show potential applications in modification of cloaking devices, image coding, polarizing filters and LCD displays.
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|R^{(R,L)}|+|T^{(R,L)}|=1∣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)∣≃0|A^{(R,L)}|\simeq 0∣A(R,L)∣≃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 Sr(R,L)=−10λS^{(R,L)}_{r}=-10\lambdaSr(R,L)​=−10λ and that in the transmission is measured to St(R,L)=10λS^{(R,L)}_{t}=10\lambdaSt(R,L)​=10λ with forward and backward currents of complex conductivity. Furthermore, maximum values of GH-shifts in reflection and transmission of LCP beams are calculated to ±40λ\pm 40\lambda±40λ and RCP beams are calculated to ±10λ\pm 10\lambda±10λ with control field Rabi frequency and backward current variation. The results indicate possible uses in the designing of optical and conductive sensors.