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Journal of the Optical Society of America B

Phase-controlled optical Faraday rotation in a closed-loop atomic system

Mariye Veisi, Azar Vafafard, Mohammad Mahmoudi

Published Dec 23, 2014• 13 citations
Publisher

Abstract

We investigate the nonlinear optical Faraday rotation (OFR) of a probe field passing through a double V–type closed-loop atomic system in the absence of an external static magnetic field. Enhancement OFR is obtained by applying the control fields to establish the closed-loop configuration. It is shown that the scattering of both control fields into the probe field mode via wave mixing induce an OFR enhancement. We find that the rotation of the polarization plane in the nonlinear OFR depends on the intensity and relative phase of applied fields and can be controlled by these parameters. It is demonstrated that applying a microwave field to the system has a constructive role in enhancement of phase-controlled nonlinear OFR.

DOI
10.1364/josab.32.000167

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We investigate the nonlinear optical Faraday rotation (OFR) of a probe field passing through a double V–type closed-loop atomic system in the absence of an external static magnetic field. Enhancement OFR is obtained by applying the control fields to establish the closed-loop configuration. It is shown that the scattering of both control fields into the probe field mode via wave mixing induce an OFR enhancement. We find that the rotation of the polarization plane in the nonlinear OFR depends on the intensity and relative phase of applied fields and can be controlled by these parameters. It is demonstrated that applying a microwave field to the system has a constructive role in enhancement of phase-controlled nonlinear OFR.
We investigate an all-optical, pump-probe scheme for the polarization rotation of linearly polarized light in an atomic medium. A circularly polarized control light is shown to play the role of a static magnetic field via a Zeeman-like ac Stark interaction and to induce the optical Faraday rotation (OFR) of the probe light. As a model system, we consider a stationary atom with $nS\text{\ensuremath{-}}nP\text{\ensuremath{-}}nD$ level scheme without electronic or nuclear spin. In addition to OFR, we find that electromagnetically induced transparency for the three-level atom and circular dichroism also contribute to the polarization change. We characterize these three effects over different frequency ranges through an explicit calculation of the fractional transmission and the output polarization of the probe light. Our results are compared with the $nS\text{\ensuremath{-}}nP\text{\ensuremath{-}}(n+1)S$ scheme, which has been previously studied both theoretically and experimentally. We also compare the optically induced Faraday effect with the Faraday effect from a static magnetic field. We propose an experimental situation to test the theory and address the possibility of producing an atomic medium that is both optically active and transparent.
We theoretically investigate the optical and magneto-optical Faraday and Kerr rotations of a probe field that propagates through a nonmagnetic dielectric slab doped with double-V type atoms. Both rotations and corresponding ellipticities, as well as the intensities of transmitted and reflected beams, are modified by quantum coherence induced in the atomic system. We show that applying a control laser field makes the system optically active and simultaneously, transparent to one component of the probe field. We demonstrate that the response of the slab can be modified both electrically and magnetically. Applying the second control laser field with different Rabi frequencies improves the optical properties of the slab due to the induced coherent effects. We present analytical expressions for facilitating the detailed study of the system behaviors. Magneto-optical Faraday rotation 45° with transmission close to [Formula: see text] and large Kerr rotation with high reflection are significant results from the influence of both the control and magnetic fields on such a small structure. By prevailing over the tradeoff between reflection and rotation, the proposed model could be considered as a special candidate for rotating the polarization plane of the transmitted and reflected beams, simultaneously.
We theoretically investigate magneto-optical rotation (MOR) of a linearly polarized probe field in the four-level N-type cold atoms. By applying a static magnetic field and a weak coupling field, it is shown that the birefringence enhancement is induced in the system. Moreover, we show that the static magnetic field has a major role in switching the dichroism to enhanced birefringence in the system. We also obtain a large intensity for the output field with nearly perpendicular MOR angle by 88 degrees with subnatural width. It is demonstrated that Doppler broadening has a destructive effect on the MOR of the polarization direction of the probe field. The results of our study can be used for selecting narrow band of wavelengths and polarization converter for efficient switching of TM/TE polarization modes in optical communication, the depolarization backscattering lidar, polarization spectroscopy and precision measurements.
By using multiple-scale methods, we study analytically the propagation properties of the weak linear polarization probe optical field in a cold lifetime-broadened five-level V type atomic system via electromagnetically induced transparency. It is shown that with the strength of the coupling field increasing, the absorption of the probe optical field decreases rapidly and the group velocity of the probe optical field increases quickly under the consideration of linear effect. However, the velocity is several orders of magnitude slower than the light speed in vacuum. Meanwhile, we find that for the same magnetic field the nonlinear Faraday rotation direction is opposite to linear Faraday rotation, and its rotation angle grows bigger than that of linear Faraday rotation. These results mean that the Faraday rotation of the electromagnetically induced transparency medium can be controlled by the nonlinear effect.
We examine the magneto-optical and image state rotation (MOR) of left and right circularly plane-polarized light pulse through a double Λ-type four-level configuration of Rubidium atom via Kerr field and Doppler broadening in the presence of the static magnetic field. The medium’s behavior is different for both orthogonal components of the probe beam, causing linear dichroism or circular birefringence. Enhanced and lossless MOR is obtained by applying the control field through a closed-loop birefringent system. We observe a magnified angle of rotation of probe field in Doppler broadened medium. It is shown that due to the Kerr nonlinearity, the rotation angle of the probe beam is generated and modified through cold and Doppler broadened medium. Moreover, almost complete polarization rotation is observed for a particular set of parameters. The MOR can be effectively utilized in designing new TM/TE polarization modes, optical communication, polarization spectroscopy, lider with backscattering depolarization, precision measurements, and magnetometry.
The electromagnetically induced grating is investigated in a four-level double V-type quantum system. It is shown that the electromagnetically induced transparency established by the cross-Kerr nonlinear effect can be canceled by the four-wave mixing in a closed-loop atomic system and that the diffraction of the probe beam depends on the relative phase of the applied fields and can be controlled by this parameter. We find that an additional nonlinear contribution is established in the medium response by applying a microwave field to the system and that the electromagnetically induced absorption grating turns to the electromagnetically induced phase grating. This contribution leads to 100% diffraction efficiency in the first-order direction, so we can say that the proposed grating could be considered as a special candidate for the optical networking and communication.