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Communications in Theoretical Physics

Coherent Control of the Goos—Hänchen Shifts in a Four-Level N Type Atomic Medium

Parisa Maboodi, Soheila Hemmatzadeh Saeedabad, Seyyed Hossein Asadpour, HAMID RAHIMPOUR SOLEIMANI

Published Dec 1, 2014• 7 citations
Publisher

Abstract

The behavior of the Goos—Hänchen (GH) shifts of the reflected and transmitted probe light beams is theoretically investigated. In a fixed geometrical configuration, the effect of quantum interference induced by spontaneous emission on the phase control of the GH shifts is analyzed in this paper. It is found that in a four-level N-type atomic system as an intracavity medium, the GH shifts of the reflected and transmitted probe light beam are completely phase dependent.

DOI
10.1088/0253-6102/62/6/14

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The behavior of the Goos—Hänchen (GH) shifts of the reflected and transmitted probe light beams is theoretically investigated. In a fixed geometrical configuration, the effect of quantum interference induced by spontaneous emission on the phase control of the GH shifts is analyzed in this paper. It is found that in a four-level N-type atomic system as an intracavity medium, the GH shifts of the reflected and transmitted probe light beam are completely phase dependent.
The behavior of the Goos-Hanchen (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
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.
Abstract The impact of spontaneously generated coherence (SGC) on the Goos–Hänchen (GH) shifts of transmitted and reflected light beams from a cavity with a four-level rubidium atom with a Rydberg state are discussed. Using the quantum mechanical density matrix method, we first discuss the absorption and dispersion properties of the medium, then analyze the GH shifts of transmitted and reflected light beams, respectively. We find that quantum interference from SGC can modify the absorption–dispersion properties, which leads to enhancement in GH shifts in transmitted and reflected light beams. Moreover, the effects of coupling light and its detuning on the properties of GH shifts have been discussed.
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.
Goss-Hänchen (GH) shifts due to its potential applications in geometrical optics has been proposed by Goos and Hänchen in 1974 [1]. There are many usages of GH shifts in optical measurement and sensing [2]. Infact, GH shifts are resulted from total reflection at the junction of the two medium due to lateraling shift in position of the reflected and transmitted lights [3]. Several theoretical and experimental configurations have been proposed for analyzing of GH shifts in reflected and transmitted lights [4, 5]. The GH shifts in most of those proposals have been occurred by changing the geometrical configurations of materials. These features make the mentioned studies have not suitable for applications in geometrical science. In this study, we propose a new model for manipulating the GH shifts in reflected and transmitted lights in a fixed configuration. We assume that the intracavity contains of four-level quantum system near a plasmonic nanostructure which located at distance d from quantum system. The optical features of quantum systems in the presence of some nanostructures have been discussed by many groups [6–8].