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Optics Letters

Propagation and modulation of Airy beams through a four-level electromagnetic induced transparency atomic vapor

Fei Zhuang, Jianqi Shen, Xinyue Du, Daomu Zhao

Published Jul 16, 2012• 32 citations
Publisher

Abstract

We study the propagation properties of an Airy beam through a four-level electromagnetic induced transparency (EIT) atomic vapor. The analytical expression for the Airy beam passing through the ABCD optical system of the EIT vapor is deduced and employed to analyze the propagation characteristics of the beam. It is shown that both the deflection position and the intensity of the Airy beam can be modulated by the Rabi frequency of the control light. Such a tunable optical behavior may have some potential applications in medicine science.

DOI
10.1364/ol.37.003054

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We study the propagation properties of an Airy beam through a four-level electromagnetic induced transparency (EIT) atomic vapor. The analytical expression for the Airy beam passing through the ABCD optical system of the EIT vapor is deduced and employed to analyze the propagation characteristics of the beam. It is shown that both the deflection position and the intensity of the Airy beam can be modulated by the Rabi frequency of the control light. Such a tunable optical behavior may have some potential applications in medicine science.
Abstract This study investigates the propagation properties of two-dimensional Airy vortex beams in an electromagnetically induced transparency (EIT) medium, based on a four-level rubidium atomic vapor system controlled by dual coupling Rabi frequencies. By establishing the ABCD transmission matrix of the EIT medium and employing the Collins integral formula, analytical expression for the propagation of the Airy vortex beam in the EIT medium is derived. Using the obtained analytical solution, this study further examines the beam’s intensity distribution, phase evolution characteristics, and their dependencies on several key parameters such as transverse scale, truncation factor, and vortex center position. Results demonstrate that the intensity of the Airy vortex beam can be modulated by the coupling Rabi frequency: with the change of the coupling Rabi frequency, the Airy vortex beam will be focused, and the main lobe will form a quasi-focus, accompanied by the reproduction of phase singularities. Moreover, the transverse deflection of the beam will be reduced when the coupled Rabi frequency is increased. At the same time, the vortex position, truncation factor and transverse scale also affect the field intensity distribution of the beam. These research results could have potential application value in the fields of optical bullets and optical micromanipulation.
We numerically investigate the dynamics of inward circular finite-energy Airy beams carrying different orbital angular momentum (OAM) numbers in a close-Λ three-level atomic vapor with the electromagnetically induced transparency (EIT) window. We report that due to the EIT induced by the microwave field, the transverse intensity distribution properties of Airy beam can be feasibly manipulated and modulated through adjusting OAM numbers l and the frequency detuning, as well as the propagation distance, in the multi-level atomic systems. What’s more, the rotation of the beam also can be observed with different positions in atomic ensembles. The investigation may provide a useful tool for studying particle manipulation, signal processing and propagation in graded-index (GRIN) fibers.
Propagation of generalized multi-Gaussian correlated Schell-model (GMGCSM) beams through four-level electromagnetically induced transparency (EIT) atomic vapor is investigated for the first time. Analytical expression for the GMGCSM beam passing through an ABCD optical system of EIT vapor is deduced and employed to analyze its propagation properties. It is demonstrated that intensity evolution of the targeted GMGCSM beam through EIT atomic vapor is dependent on the coupling Rabi frequency of the control light, the beam’s index and coherence length. Moreover, analysis shows that degree of coherence of the beam can also be regulated by the coupling Rabi frequency. Additionally, it is shown that, selecting appropriate coherence length, GMGCSM beams of the first kind would form a shift from a dark-centered distribution known as “optical cage”, to a peak-centered distribution; GMGCSM beams of the second kind would shift from a flat-topped distribution to a Gaussian distribution. Therefore, EIT atomic vapor provides a method to regulate the coherence of partially coherent beams. Results obtained here could be expected applications in free-space optical communications, material thermal processing, and optical trapping.
Analytical expression is obtained for the cross-spectral density function of a Gaussian Schell-model (GSM) beam passing through an electromagnetic induced transparency (EIT) atomic vapor. The formula can be used in the study of the changes in the spectral density and spectral degree of coherence of the beam through the EIT atomic vapor. Numerical examples show that both the spectral density and the spectral degree of coherence of the GSM beam can be modulated by the Rabi frequency of the control light.
We propose a scheme for guiding light by the modulated electromagnetically induced transparency (EIT) in a three-level atomic system. By using a periodically modulated control field, the linear and nonlinear susceptibilities are changed cyclically for the probe field, which results in the deflection of propagation direction of the probe beam. Propagation direction/path and output position of the probe soliton in the modulated EIT medium can be controlled precisely via adjusting the modulation period of the control field. By changing its initial amplitude, the probe beam can also be guided to a desired output position in the atomic system, driven by a periodic control field. These properties offer a novel way of soliton control, based on the modulated EIT effect.