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Optics Communications

Enhancement of the Goos–Hänchen shift by electromagnetically induced transparency with amplification

Wenwu Deng, Shaoping Wu, Gao‐xiang Li

Published Feb 9, 2012• 35 citations
Publisher
DOI
10.1016/j.optcom.2012.01.045

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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 Goos–Hänchen shift of the reflected beam in a standing-wave coupled electromagnetically induced transparency medium is investigated. We adopt the three-level Λ system as a model of Rb87 atomic media. Under the influence of two counterpropagating coupling fields, the incident beam is converted into a reflected one, with the Goos–Hänchen shift. We briefly discuss the rules for obtaining efficient reflection in such an atomic system, and carefully investigate the Goos–Hänchen shift and its dependence on the beam width of the incident field. Both the cases with and without Doppler broadening are considered. In order to provide a clearer physical picture on the large shift that could be realized, the concept of penetration depth is used to analyze the shift phenomenologically.