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Laser Physics

Phase-dependent Kerr nonlinearity of a dielectric slab doped by Λ-type atoms

B. Younessi, Mostafa Sahrai, R. Aghbulaghi, J. B. Poursamad

Published Sep 1, 2017• 5 citations
Publisher

Abstract

Abstract We investigate the linear and nonlinear dispersion and absorption properties of a weak probe field in a dielectric slab doped with Λ -type atoms. The effect of a relative phase between applied fields on linear and nonlinear dispersion, absorption and Kerr nonlinearity is discussed. It is demonstrated that the system is phase sensitive when spontaneously generated coherence and an incoherent pump exist simultaneously. The effect of the coupling field intensity on the Kerr nonlinearity is also presented.

DOI
10.1088/1555-6611/aa7cdb

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Abstract We investigate the linear and nonlinear dispersion and absorption properties of a weak probe field in a dielectric slab doped with Λ -type atoms. The effect of a relative phase between applied fields on linear and nonlinear dispersion, absorption and Kerr nonlinearity is discussed. It is demonstrated that the system is phase sensitive when spontaneously generated coherence and an incoherent pump exist simultaneously. The effect of the coupling field intensity on the Kerr nonlinearity is also presented.
We investigate the linear and nonlinear dispersion and absorption properties of a weak probe field in a slab doped with V-type atoms. The effect of relative phase between applied fields on linear and nonlinear dispersion and absorption is discussed. It is demonstrated that the system is phase-sensitive when spontaneously generated coherence (SGC) exists. The effects of coupling field intensity, incoherent pump, and phase difference between probe and coupling fields on Kerr nonlinearity are also presented.
We study phase control of linear and nonlinear optical responses in a three-level atomic system in V-configuration exhibiting spontaneously generated coherence (SGC). Because of the SGC effect, the strength of Kerr nonlinearity strongly depends upon the relative phase between the probe and control fields as well as the absorptions. By controlling the relative phase appropriately, large Kerr nonlinearity can be achieved with canceled linear and nonlinear absorptions. Combining with the phase modulation, the strict decay condition of spontaneous decay rates is not needed.
A theoretical investigation is carried out into the effect of spontaneously generated coherence on the Kerr nonlinearity of general three-level systems of Lambda, ladder, and V-shape types. It is found, with spontaneously generated coherence present, that the Kerr nonlinearity can be clearly enhanced. In the Lambda- and ladder-type systems, the maximal Kerr nonlinearity increases and at the same time enters the electromagnetically induced transparency window as the spontaneously generated coherence intensifies. As for the V-type system, the absorption property is significantly modified and therefore enhanced Kerr nonlinearity without absorption occurs for certain probe detunings. We attribute the enhancement of Kerr nonlinearity mainly to the presence of an extra atomic coherence induced by the spontaneously generated coherence.
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.
A theoretical investigation is carried out into the effect of applied coherent fields on electromagnetically induced transparency(EIT) and Kerr nonlinearity in the four-level Y-type energy atom system.It is found that the Absorption curve of the atom system changes from one EIT window to a gain interval which has two transparency points when the intensity of coupling field and pumping field changes from equality to inequality.The position of transparency points,the magnitude of gain value together with the width of gain interval are all closely connected with the changed Rabi frequency of applied fields.It is also found that Kerr nonlinearity is enhanced but accompanied by linear Absorption when applied fields are all weak and their relative intensity reduces.When the intensity of applied fields is enlarged,Kerr nonlinearity is enhanced significantly and its peak moves to the position of transparency point with the enlargement of their relative intensity.That is to say,giant Kerr nonlinearity accompanied by vanishing linear Absorption is obtained.Finally,we find that the effect of the intensity variation of the pumping field on the enhancement of Kerr nonlinearity is more remarkable than that of the coupling field.