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Journal of the Optical Society of America B

Electromagnetically induced grating based on Zeeman coherence oscillations in cases beyond the multi-photon resonance condition

Azar Vafafard, Mostafa Sahrai

Published Aug 14, 2018• 8 citations
Publisher

Abstract

We present a theoretical study on the generation of an electromagnetically induced grating (EIG), based on Zeeman coherence oscillations, in a duplicated two-level atomic system. We show that the pure amplitude grating is obtained in the resonance case of multi-photon detuning. In this system, transferring of light energy from the zero order to the first order occurs by tuning the intensity and detuning of the coupling field. Physical mechanisms of the results are discussed using cases beyond the multi-photon resonance condition. Additionally, in the duplicated two-level system, we can create a two-dimensional EIG by splitting the coupling field into two orthogonal components. Optical properties of the proposed two-dimensional grating are also controlled by the intensity and detuning of the coupling field.

DOI
10.1364/josab.35.002118

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Abstract We propose a scheme for electromagnetically induced 2D grating in a mixture of two three-level Λ systems driven by two pairs of far-detuned coherent standing-wave fields. The key idea, which has been used to achieve the refractive index enhancement with vanishing absorption, is to induce two Raman resonances for the probe field, and their strength can be tuned via the two-photon detunings and the intensity of coupling field. By manipulating the absorption and gain properties of these two Raman resonances, absorption-phase grating, phase grating and gain-phase grating which effectively diffract a probe field into high-order directions can be formed in the atoms with the help of standing-wave pattern coherent fields. The diffracting power of the presented gratings strongly depends on the two-photon resonance condition and amplitude of coherent fields, hence the gratings can be used as all-optical multi-channel splitters or all-optical router in optical networking and communication.
We propose a scheme for effectively creating a type of all optical device called electromagnetically induced two-dimensional grating by utilizing a four-level coherent atomic medium, which is coherently driven by two orthogonal standing-wave fields. With a far-off resonant trigger field, a spatially modulated cross-phase modulation takes place accompanied by vanishing absorption. The resulting phase grating can diffract the probe beam into high-order directions. When a resonant trigger field is applied on the atoms, the probe obtains gain without inversion due to the atomic coherence effect. And then a gain-phase grating is formed. The diffraction efficiency can be significantly improved compared with that of phase grating. The results show that the diffraction efficiencies attainable by the gratings strongly depend on the interaction length, coherent field intensity, probe field detuning and coherent field detuning. Therefore, the proposed gratings can be used as two-dimensional multi-channel beam splitter which have potential application in optical networking and communication.
An electromagnetically induced phase grating (EIG) controlled by coherent population trapping (CPT) in a four-level Y-type atomic system is studied. The CPT condition promotes significantly the dispersion of light into the first-order diffraction in constructing a phase modulation grating by transferring energy from zero-order to first-order diffraction. The diffraction efficiency of the phase grating is enhanced by up to 30% of the total probe intensity at the first-order diffraction. The present atomic scheme takes full advantage of the microwave-driven field for generating the EIG, which induces the quantum coherence and controls linear and nonlinear behaviors of the present system. Furthermore, it is noticed that the higher-order diffraction intensities are improved via a microwave-driven field and the phase and amplitude of the microwave field can improve the efficiency of the phase grating. These novel results could find potential applications in developing new photonic devices, such as all-optical switching at low light levels.
Abstract We have theoretically studied the electromagnetically induced grating (EIG) in a three-level closed Λ-type atomic system. The upper level is coupled to the two lower levels via a strong control and a weak probe field. In addition to these two optical fields a weak microwave field is also applied to couple the lower two levels. Our results show that the relative phase of the three fields in the presence of microwave field enhances the dispersion in the medium and consequently provides control over magnitude of the diffraction intensities. We have optimized the system parameters such as strength of the fields and interaction length to attain increased first order diffraction. Furthermore, we have also studied the effects of probe detuning on diffraction intensities. Interestingly, the probe detuning results in suppression of the zeroth order intensity while increasing the higher order intensities.
Abstract A scheme for two-dimensional (2D) electromagnetically induced grating via spatial gain and phase modulation is presented in a two-level atomic system. Based on the interactions of two orthogonal standing-wave fields, the atom could diffract the weak probe beam into high-order directions and a 2D diffraction grating is generated. It is shown that the diffraction efficiency of the grating can be efficiently manipulated by controlling the Rabi frequencies of control fields, the detunings of the control and probe fields, and interaction length. Different from 2D cross-grating via electromagnetically induced transparency in a four-level atomic system, the present scheme results from the spatial modulation of gain and phase in a simple two-level system, which could lead to 2D gain-phase grating with larger diffraction intensities in the diffraction directions. The studies we present may have potential applications in developing photon devices for optical-switching, optical imaging and quantum information processing.