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Physical Review A

Comment on “Control of the Goos-Hänchen shift using a duplicated two-level atomic medium”

F. A. Hashmi, M. A. Bouchène

Published Oct 11, 2013• 1 citation
Publisher

Abstract

The recent paper by Ziauddin and Qamar [Phys. Rev. A 85, 055804 (2012)] proposes control of the Goos-H\"anchen shift of a Gaussian field incident on a cavity containing duplicated two-level atoms. This control relies on phase control of the optical response of the intracavity medium that has been demonstrated earlier [Phys. Rev. Lett. 101, 213601 (2008)]. We show that the authors make an incorrect use of the results of this latter paper.

DOI
10.1103/physreva.88.047801

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Reply to “Comment on ‘Control of the Goos-Hänchen shift using a duplicated two-level atomic medium’ ”

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The concept behind using a Gaussian-shaped probe beam to control the Goos-H\"anchen shift using a duplicated two-level atomic medium inside a cavity [Phys. Rev. A 85, 055804 (2012)] is presented. It is obvious from the analysis that by using certain approximations, the required conditions can be imposed on the probe field corresponding to the Gaussian-shaped incident beam and control field driving the intracavity atomic medium.

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Acta Physica Sinica•Jan 1, 2012•3 citations
The recent paper by Ziauddin and Qamar [Phys. Rev. A 85, 055804 (2012)] proposes control of the Goos-H"anchen shift of a Gaussian field incident on a cavity containing duplicated two-level atoms. This control relies on phase control of the optical response of the intracavity medium that has been demonstrated earlier [Phys. Rev. Lett. 101, 213601 (2008)]. We show that the authors make an incorrect use of the results of this latter paper.
Control of Goos-H$\stackrel{\ifmmode \ddot{}\else \"{}\fi{}}{\text{a}}$nchen (GH) shift in reflected and transmitted light is revisited for a Gaussian light incident on a cavity. The intracavity atomic medium follows duplicated two-level atomic configurations where two fields, i.e., a strong control field and a relatively weak probe field are employed [F. A. Hashmi and M. A. Bouchene, Phys. Rev. Lett. 101, 213601 (2008)]. The coherent control is achieved via phase shift $\ensuremath{\phi}$ between control and probe fields. The effect of incident light width on negative or positive GH shifts and distortion in the reflected and transmitted light is investigated.
The behavior of the Goos-H\"anchen (GH) shifts in the reflected and transmitted light beam which is incident on a cavity containing an intracavity medium of three-level or four-level atoms with electromagnetically induced transparency (EIT) is discussed. We report a coherent control of the GH shift in a fixed configuration or device via superluminal and subluminal wave propagation. For superluminal wave propagation, we observe negative GH shifts in the reflected part of the incident light whereas the shifts are positive in the transmitted light beam. This corresponds to the negative group index of the cavity in the former case and positive group index of the cavity in the latter. For subluminal wave propagation, the behavior of the GH shifts in the reflected light changes and positive shifts appear; however, the GH shifts in the transmitted light remains positive. The corresponding group index of the cavity is positive in both cases.
A gain-assisted model is considered to study the Goos-H$\stackrel{\ifmmode \ddot{}\else \"{}\fi{}}{\text{a}}$nchen (GH) shift behavior in the reflected and transmitted light. In this model, a probe light is incident on a cavity containing three-level dilute gaseous atomic medium. The atom-field interaction follows two-photon Raman transitions, and the dielectric susceptibility of the medium exhibits dispersion and gain properties [L. J. Wang, A. Kuzmich, and A. Dogariu, Nature (London) 406, 227 (2000)]. Under appropriate conditions, two gain peaks are observed with anomalous dispersion between the peaks, whereas normal dispersion can be observed at and around the gain maxima. The manipulation of the detuning associated with the probe light field which interacts with the intracavity medium during its propagation through the cavity can lead to a control over negative and positive GH shift in the reflected and transmitted light beam via the anomalous and normal dispersion of the medium.
We study the Goos-Hänchen shift (GHS) of a reflected light beam from a cavity containing a double-[Formula: see text] atomic medium that is bounded by two glass slabs. Applying both coherent and incoherent fields to the atomic medium leads to positive and negative controllability of GHS. For some specific values of the parameters of the system, the amplitude of the GHS becomes large, namely, in the order of [Formula: see text] times the wavelength of the incident light beam. These large shifts are found at more than one angle of incidence with a wide range of parameters of the atomic medium.
The manipulation of the Goos-Hnchen shifts in the reflected and transmitted light beam through a cavity containing four-level atomic medium is investigated by modifying the dispersion-absorption properties of the intracavity medium. Via two external coherent control fields, the Goos-Hnchen shifts of the reflected and transmitted beam can be easily controlled. It is found that around the transparent region of the medium, the Goos-Hnchen shifts are very sensitive and can be enhanced as compared with strong absorption and amplification.