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Physica Scripta

Tunnelling based birefringent phase sensitivity through dynamic chiral medium

Syed Muhammad Arif, Bakht Amin Bacha, Umer Wahid, Arif Ullah, Muhammad Haneef

Published Dec 30, 2020• 25 citations
Publisher

Abstract

Abstract The absorption coefficients, refractive/group indices, phase shifts and fractional change of birefringence beams through dynamic chiral atomic medium are investigated under the effect of quantum tunnelling. The birefringence of phase indices Δ n = n r ( + ) − n r ( − ) and group indices Δ n g = n g ( + ) − n g ( − ) are controlled and modified through induced dynamic chiral medium by tunnelling effect. The group indices n g ( ± ) = ± 500 and group velocities v g ( ± ) = ± c / 500 are reported with the tunnelling effect. The maximum change in birefringent phase shifts is calculated to 5 microradian with tunnelling frequency at a speed of v = 10 cm/s of the chiral medium in the right circularly polarized (RCP) and left circularly polarized (LCP) beams. A 60% fractional change in the phase shift of RCP and LCP beams are investigated through induced chiral medium when the medium is at rest and when it is moving with the speed of v = 10 cm/s. These results will play an important role in scatterplate phase shifting interferometry.

DOI
10.1088/1402-4896/abd792

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Abstract The absorption coefficients, refractive/group indices, phase shifts and fractional change of birefringence beams through dynamic chiral atomic medium are investigated under the effect of quantum tunnelling. The birefringence of phase indices Δ n = n r ( + ) − n r ( − ) and group indices Δ n g = n g ( + ) − n g ( − ) are controlled and modified through induced dynamic chiral medium by tunnelling effect. The group indices n g ( ± ) = ± 500 and group velocities v g ( ± ) = ± c / 500 are reported with the tunnelling effect. The maximum change in birefringent phase shifts is calculated to 5 microradian with tunnelling frequency at a speed of v = 10 cm/s of the chiral medium in the right circularly polarized (RCP) and left circularly polarized (LCP) beams. A 60% fractional change in the phase shift of RCP and LCP beams are investigated through induced chiral medium when the medium is at rest and when it is moving with the speed of v = 10 cm/s. These results will play an important role in scatterplate phase shifting interferometry.
Abstract We theoretically investigate birefringence of lateral Goos-Hänchen (GH) shift in a tunnelling chiral atomic medium. The Milnor polynomial of controlled fields and tunnelling modulate the light-mater interactions. We analyze the GH shift for right- and left-circularly polarized (RCP and LCP) beams for varying incident angles. We found a lossless condition R (+) + T (+) = 1 for RCP beams at the incident angle θ i = π /3, while LCP beams shows loss R (−) + T (−) + A (−) = 1 and A (−) = 0.2. The lateral shift in reflection of RCP beam varies in range of 0 λ ≤ S r ( + ) ≤ 60 λ and transmission of RCP beam varies in the range of 0 λ ≤ S t ( + ) ≤ 100 λ at θ i = π /3, while the shift in LCP beam decreases 0 λ ≤ S r ( − ) ≤ 40 λ and transmission increases 0 λ ≤ S t ( − ) ≤ 150 λ for the same parameters. Further, for incident angle θ i = π /4, we found an increase in lateral shifts S r , t ( − ) ≤ 150 λ for RCP and 0 λ ≤ S r , t (
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Abstract The birefringence of rotary photon drags is investigated through induced chiral atomic medium. The birefringence of refractive and group indices, divergent angle and rotary photon drags were controlled and modified with detuning, phases and strength of Rabi frequencies of the driving fields. The value of divergent angle oscillated between ±0.01 radian with phases of control fields φ 3,4 and is minimum at φ 3 = π , while maximum at φ 4 = π . The right and left circularly polarized beams are drag clockwise due clockwise spinning of the medium in the normal dispersive region, while the right and left circularly polarized beams are drag clockwise due anticlockwise spinning of the medium in anomalous dispersive region. The maximum rotary photon drags of birefringent beams of light is calculated to ±5 milli radian. The results show advancement in molecular structure, dual image coding and image designing technology.
Abstract We have theoretically investigated two-dimensional atom localization using the absorption spectra of birefringence beams of light in a single wavelength domain. The atom localization is controlled and modified through tunneling effect in a conductive chiral atomic medium with absorption spectra of birefringent beams. The significant localization peaks are investigated in the left and right circularly polarized beam. Single and double localized peaks are observed in different quadrants with minimum uncertainty and significant probability. The localized probability is modified by controlling birefringence and tunneling conditions. These results may be useful for the capability of optical microscopy and atom imaging.
Abstract This study examines the phenomenon birefringence of anomalous rotary photon drag in a chiralatomic medium by analyzing the effects on left and right circularly polarized beams. The maximumanomalous rotary photon drags for RCP beam is measured to −6.2 nanoradian and for LCP beamis measured to −11 nanoradian. Detuning and Rabi frequencies of control fields reduce dragon LCP and RCP beams. The anomalous rotary photon drag for RCP beam maximized to −8nanoradian and LCP beam is maximized to −11 nanoradian at the control field Rabi frequency,while at other control Rabi frequency are maximized to −9.5 nanoradian and −30 nanoradianforRCP/LCP beams. The results shows signeficant application imaging coding technology.
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.