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Scientific Reports

Controlling the Goos-Hänchen shift in a double prism structure using three-level Raman gain medium

Saeed Asiri, Li‐Gang Wang

Published Dec 20, 2023• 10 citations
Publisher

Abstract

We propose a scheme to control the Goos-Hänchen (GH) shift of TE and TM reflected light beams in a double-prism structure, where a three-level Raman gain medium is filling the gap between the two prisms. We find that it is possible to control the GH shift in this structure by externally adjusting the optical properties of the Raman gain atomic medium while the gap width between the two prisms is fixed. Inspired by recent successful implementation of the double-prism configuration with an air gap to measure the GH shift, we expected that our proposal to control the GH shift can be achieved experimentally and used in different potential applications of the GH shift.

DOI
10.1038/s41598-023-50254-6

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We propose a scheme to control the Goos-Hänchen (GH) shift of TE and TM reflected light beams in a double-prism structure, where a three-level Raman gain medium is filling the gap between the two prisms. We find that it is possible to control the GH shift in this structure by externally adjusting the optical properties of the Raman gain atomic medium while the gap width between the two prisms is fixed. Inspired by recent successful implementation of the double-prism configuration with an air gap to measure the GH shift, we expected that our proposal to control the GH shift can be achieved experimentally and used in different potential applications of the GH shift.
We investigate controlling the lateral Goos-Hänchen (GH) shift for a TM-polarized field reflected from Otto structure containing four level N-type atomic medium. The N-type atomic configuration can be formed by coupling the standard three-level ΛΛΛ system to an additional upper energy level through a coherent driving field. The medium can then be switched from transparent to absorptive under the effect of the driving field. In the Otto structure, an air gap typically separates a dielectric prism from a metal film. We show that the sign and magnitude of the GH shift can be highly controlled when the air gap is replaced by the coherent atomic medium. This can be achieved by adjusting the strength of the applied fields to the atomic medium, while the geometrical characteristics of the proposed structure are unchanged.
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.
The influence of the Kerr nonlinearity on the group index of a dispersive intracavity medium is revisited using a Raman gain based scheme to obtain amplitude control of the Goos–Hänchen (GH) shift in the reflected light. The intracavity medium exhibits a Raman gain process which is accompanied by anomalous dispersion, i.e., superluminal pulse propagation (Dogariu et al 2000 Nature 406 277). In the presence of a Kerr field, the gain–dispersion properties of the intracavity medium are modified, which leads to enhancement in the positive and negative group indices of the medium. The behavior of the GH shift in the reflected light due to the enhancement in the group indices in the presence of the Kerr field is investigated, and relatively large positive and negative GH shifts can be obtained.
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
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].