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Journal of the Optical Society of America B

Giant lateral shift via atom–cavity coupling

Salman Khan, Farrah Shafiq, Syed Arif Ullah

Published Jan 23, 2019• 5 citations
Publisher

Abstract

We propose a scheme to modify the susceptibility of a two-level coherently driven atomic medium enclosed inside a cavity and to enhance the Goos–Hänchen shift of a probe field via atom–cavity coupling and their detuning. The numerical simulation of the analytical results show that a suitably designed cavity leads to transparency windows both under off- and on-resonance conditions of the probe field. The scheme leads to considerably enhanced lateral shifts, of the order of 760 times the wavelength used, both positive and negative in the transmitted and reflected beams.

DOI
10.1364/josab.36.000383

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We propose a scheme to modify the susceptibility of a two-level coherently driven atomic medium enclosed inside a cavity and to enhance the Goos–Hänchen shift of a probe field via atom–cavity coupling and their detuning. The numerical simulation of the analytical results show that a suitably designed cavity leads to transparency windows both under off- and on-resonance conditions of the probe field. The scheme leads to considerably enhanced lateral shifts, of the order of 760 times the wavelength used, both positive and negative in the transmitted and reflected beams.
The susceptibility of a two-level atomic medium enclosed in a cavity is controlled and modified by a control driving field and cavity coupling. The susceptibility of the medium is related to the dielectric function, and reflection & transmission coefficients. The transmission and reflection coefficients are related to Goos–Hänchen Shifts in the reflection and transmission beam. Negative and positive lateral GH-shifts, and Giant shifts in the transmission and reflection beams are investigated under the effect of cavity coupling and Kerr nonlinearity. A giant shift of 2000λ in the reflection and 1000λ in the transmission beam is calculated. It is clear that both modified Giant shifts and lateral shifts are influenced by changes in the refractive index. So it will have potential applications in sensing and trapping of the optical data. The controlled and considerably enhanced GH shift show the importance of utilizing the proposed scheme for the construction of optical sensors and optical devices.
We present a proposal to manipulate the Goos-H\"anchen shift of a light beam via a coherent control field, which is injected into a cavity configuration containing the two-level atomic medium. It is found that the lateral shifts of the reflected and transmitted probe beams can be easily controlled by adjusting the intensity and detuning of the control field. Using this scheme, the lateral shift at the fixed incident angle can be enhanced (positive or negative) under the suitable conditions on the control field, without changing the structure of the cavity.
This paper hints at the Goos-Hänchen shift properties of a cavity containing an ensemble of atoms using a four-level atomic system involving a Rydberg state. By means of the stationary phase theory and density matrix formalism in quantum optics, we study theoretically the Goos-Hänchen shifts in both reflected and transmitted light beams. It is realized that as a result of the interaction between Rydberg and excited states in such a four-level atom-light coupling scheme the maximum positive and negative Goos-Hänchen shifts can be obtained in reflected and transmitted light beams owning to the effect of the Rydberg electromagnetically induced transparency (EIT) or Rydberg electromagnetically induced absorption. In particular, when the switching field is absent and the Rydberg EIT is dominant in the medium, a giant Goos-Hänchen shift can be achieved for both reflected and transmitted light beams.
The influence of spontaneous generated coherence (SGC) on the Goos–Hänchen (GH) shift in the reflected light is presented. A weak probe light is incident on a cavity containing three-level gaseous atomic medium consist of 85Rb atoms. The atom–field interaction follows electromagnetically induced transparency configuration, and the SGC modifies the dispersion and absorption properties of a system [Y. Niu and S. Gong, Phys. Rev. A 73, 053811 (2006)]. The SGC enhances the Kerr nonlinearity which leads to giant negative and positive GH shifts in the reflected light. Further, the control of negative and positive GH shifts is achieved via manipulation of probe field detuning.
Abstract In this work, a four-level sodium atomic medium coupled to a single mode cavity is used to investigate the Goos-Hänchen (GH) shift. Using collective phase of the control fields and intensity of Rabi oscillation, the positive as well as negative GH-shift in transmission and reflection beams are examined. In the transmission beam, a maximum GH-shift of ±6λ is observed. Furthermore, GH-shift in both reflection and transmission beams in a four-level sodium atomic medium is significantly enhanced by photon number density as well as by the cavity coupling strength. By varying the collective phase of the control fields and the probe field frequency, GH-shift in reflection exhibits a maximum value of ±2λ. Our findings may open up significant applications in micro-optics, sensers, photonic crystals and nano processor technology.
In this paper, we proposed a cavity containing an intracavity medium of five-level double-ladder-type atoms with electromagnetically induced transparency to enhance Goos-Hänchen shifts of reflected and transmitted light beams. The dependence of the Goos-Hänchen shifts has been analyzed. It is shown that Goos-Hänchen shifts can be controlled by modifying the intensity and detuning of the coherent control field without changing material and the structure of the dielectric interface. This work has considerable potential for applications such as optical devices in information processing, flexible optical-beam steering and alignment, optical sensors and optical switches.