Amplitude control of the Goos–Hänchen shift via a Kerr nonlinearity

Abstract

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.

Giant Goos–Hänchen shift via spontaneous generated coherence

“…In these investigations [19][20][21][22][23][24], positive and negative GH shifts are observed for the corresponding positive and negative group index of the intracavity medium, respectively. In a very recent investigation [22], where a four-level Raman gain medium is considered in a cavity and investigated giant negative and positive GH shifts in the reflected light via Kerr field. Actually, the Kerr field enhances the group index of the medium which can lead to giant GH shift.…”

“…It has already been reported in [19][20][21][22][23][24] that the GH shift is directly dependent on the group index of the intracavity medium. In these investigations [19][20][21][22][23][24], positive and negative GH shifts are observed for the corresponding positive and negative group index of the intracavity medium, respectively.…”

“…The GH shift has also potential applications in optical sensing, for example, measuring the refractive index, beam angle, probing irregularities, and roughness on the surface of a dispersive medium [7,17]. Recently, the tunable GH shifts in the reflected and transmitted lights have been studied using atomic medium in a cavity [18][19][20][21][22][23][24]. In these investigations, the negative and positive GH shifts have been reported for the corresponding negative and positive group index of the intracavity medium, respectively.…”

“…Now, the measurement of the GH shift is a difficult task due to its small amplitude in optical regime and it will be more convenient to enhance the magnitude of the GH shift via external parameter. Very recently, the giant negative and positive GH shifts in the reflected light are investigated via manipulation of the external control (Kerr) field in the optical regime by considering a four-level Raman gain medium in a cavity [22]. * Email: ziauddin@comsats.edu.pk In addition, a lot of interest has been emerged to study the spontaneous generated coherence (SGC) and the related effects.…”

Giant Goos-Hänchen shift usingPTsymmetry

“…The GH shift has also been applied in optical sensing, for example, measuring refractive index, beam angle, irregularities, and roughness on the surface of dispersive medium [7,17] using the tunable GH with a fix configuration. The tunable GH shift in the reflected light has been investigated for a fixed cavity using different atomic systems in recent years [18][19][20][21][22][23][24]. The notable point in all these investigations is that in the optical regime the measurement of the GH shift is a difficult task due to its small magnitude.…”