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Journal of Optics

Influence of orbital angular momentum of vortex light on lateral shift behavior

Saeed Ahmad, Muqaddar Abbas, Muhammad Awais, Anwar Ali Khan, Ziauddin Ziauddin

Published Jul 21, 2021• 3 citations
Publisher

Abstract

Abstract We suggest a scheme that consists of a cavity with a four-level double Λ atomic medium as an intracavity medium. The reflection of an optical vortex light beam field that is incident on a cavity has been investigated by consideration within the coherence theory framework. We study the influence of the orbital angular momentum (OAM) of the vortex light beam on the lateral or Goos–Hänchen shift (GHS) for the reflected beam. It has been investigated that different values of OAM from the incident vortex beam enhanced positive and negative GHS. Also, we consider two fields (including incident) that carry an optical vortex interacting with the cavity. We obtain giant positive and negative GHS via manipulation of the OAM corresponding to the two optical vortex beams. To the best of our knowledge, no one has ever studied such a large GHS in a reflected beam.

DOI
10.1088/2040-8986/ac16b6

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Abstract We suggest a scheme that consists of a cavity with a four-level double Λ atomic medium as an intracavity medium. The reflection of an optical vortex light beam field that is incident on a cavity has been investigated by consideration within the coherence theory framework. We study the influence of the orbital angular momentum (OAM) of the vortex light beam on the lateral or Goos–Hänchen shift (GHS) for the reflected beam. It has been investigated that different values of OAM from the incident vortex beam enhanced positive and negative GHS. Also, we consider two fields (including incident) that carry an optical vortex interacting with the cavity. We obtain giant positive and negative GHS via manipulation of the OAM corresponding to the two optical vortex beams. To the best of our knowledge, no one has ever studied such a large GHS in a reflected beam.
Abstract The magnitude enhancement of the Goos–Hänchen shift (GHS) in reflected light (RL) is investigated. We consider a cavity in which a four-level atomic medium with a double lambda ( )-type configuration is contained. By changing the relative phase of optical fields in the four-level atomic configuration, we obtain normal and anomalous dispersions. Similarly, the manipulation of the positive and negative GHS in the RL is explored via the control of the relative phase. In addition, we investigated the GHS in the RL with and without the Doppler broadening (DB) effect. Interestingly, giant GHS in the RL is revealed for the DB medium. The role of the Doppler width on the magnitude of the GHS in RL is also studied. We find that the magnitude of the negative and positive GHS in the RL increased via increasing the Doppler width.
We study the Goos-Hänchen shift (GHS) of a reflected light beam from a cavity containing a double-[Formula: see text] atomic medium that is bounded by two glass slabs. Applying both coherent and incoherent fields to the atomic medium leads to positive and negative controllability of GHS. For some specific values of the parameters of the system, the amplitude of the GHS becomes large, namely, in the order of [Formula: see text] times the wavelength of the incident light beam. These large shifts are found at more than one angle of incidence with a wide range of parameters of the atomic medium.
The negative and positive Goos-H\"anchen (GH) shifts in reflected light are revisited for a partial coherent light incident on a cavity. A three-level dilute gaseous atomic medium, which follows two-photon Raman transitions, is considered in a cavity. The anomalous (negative group index) and normal (positive group index) dispersions of the intracavity medium lead to negative and positive GH shifts, respectively. The effects of beam width, spatial coherence, and mode index of partial coherent light fields are studied on the negative and positive GH shifts. It is observed that the amplitude of negative and positive GH shifts are relatively large for a small range of beam width and for a small value of spatial coherence of partial coherent light beams. The amplitude of GH shifts becomes small for large beam width and spatial coherence of incident light. Further, the distortion in the reflected light field increases when the amplitude of the GH shifts increases and vice versa.
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 propose a scheme to study the topic of manipulating the Goos-H\"anchen (GH) shift of the reflected beam in an optomechanical cavity (OMC). Our system consists of two mirrors where one is fixed and the other is movable and a two-level atom is trapped inside the OMC. The fixed mirror is partially reflecting, whereas the movable mirror is perfectly reflecting. We theoretically investigated the behavior of the GH shift in the reflected beam when a Gaussian beam is an incident on the OMC. We find that GH shifts can be greatly enhanced in positive or negative directions via manipulating the quantum parameters such as optomechanical strength gmc{g}_{\text{mc}}gmc​ and atom-cavity strength gac{g}_{\text{ac}}gac​ under the influence of beam width of a Gaussian beam. Besides, we study the GH shift in the case of the partially coherent light beam as an incident probe field. Giant negative GH shift is achieved for an incident partially coherent beam in the presence of gmc,gac{g}_{\text{mc}}, {g}_{\text{ac}}gmc​,gac​, a measure of global coherence and beam width of a partially coherent beam. The proposed model provides feasibility in practical experiments for studying the behavior of the GH shift.
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.