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Physica Scripta

Microwave assisted efficient non-degenerate four-wave mixing in pulsed regime

Nawaz Sarif Mallick, Priyabrata Seth, Sankar De

Published May 31, 2024• 9 citations
Publisher

Abstract

Abstract We theoretically investigate a N-type 87Rb atomic system for efficient generation and control of a non-degenerate four wave mixing (FWM) signal in pulsed regime. The susceptibility of the atomic medium is customized as a gain profile by a weak probe pulse and two strong continuous wave control fields which allow us to generate the pulsed FWM signal. We study the propagation dynamics of the generated FWM signal inside the nonlinear medium. The FWM signal obtains the exact shape of the probe pulse and travels without changing the shape whereas, the probe pulse is absorbed inside the nonlinear medium. The conversion efficiency of this scheme without a MW field is 5.36%. However, a MW field that couples two metastable ground states enhances the conversion efficiency to 20.6%. The generation and control of such FWM signal in pulsed regime has important applications in signal processing, optical communication and information science.

DOI
10.1088/1402-4896/ad5301

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Abstract We theoretically investigate a N-type 87Rb atomic system for efficient generation and control of a non-degenerate four wave mixing (FWM) signal in pulsed regime. The susceptibility of the atomic medium is customized as a gain profile by a weak probe pulse and two strong continuous wave control fields which allow us to generate the pulsed FWM signal. We study the propagation dynamics of the generated FWM signal inside the nonlinear medium. The FWM signal obtains the exact shape of the probe pulse and travels without changing the shape whereas, the probe pulse is absorbed inside the nonlinear medium. The conversion efficiency of this scheme without a MW field is 5.36%. However, a MW field that couples two metastable ground states enhances the conversion efficiency to 20.6%. The generation and control of such FWM signal in pulsed regime has important applications in signal processing, optical communication and information science.
We theoretically investigate a N-type 87Rb atomic system for efficient generation and control of a non-degenerate Four wave mixing (FWM) signal in pulsed regime. The susceptibility of the atomic medium is customized as a gain profile by a weak probe field and two strong control fields which allow us to generate the pulsed FWM signal. We study the propagation dynamics of the generated FWM signal inside the nonlinear medium. The FWM signal obtains the exact shape of probe pulse and travels without changing the shape whereas the probe pulse is absorbed inside the nonlinear medium. The conversion efficiency of this scheme without a MW field is 5.8% which can be enhanced further by changing the control field intensity and optical depth. However, a MW field that couples two metastable ground states enhances the conversion efficiency three times (15.55%). The generation and control of such FWM signal in pulsed regime has important applications in signal processing, optical communication and quantum information science.
Abstract We present an efficient scheme for the generation and control of a non-degenerate four-wave mixing (FWM) signal in an N -type inhomogeneously broadened 87 Rb atomic system. We observe the propagation dynamics of the generated FWM signal along with the probe pulse under the condition of electromagnetically induced transparency. The FWM signal acquiring the scaled shape of the probe field travels through the medium without changing its shape and intensity. We have also shown that a time-dependent control field permits the storage and retrieval of these optical signals without losing their identity. This work allows us to generate, control, store and retrieve FWM signals of complicated shape.
Abstract We investigate the nonlinear frequency conversion of non-diffracting optical modes via non-degenerate four-wave mixing(FWM) process in rubidium vapor. In this process, two strong control fields and a weak probe field mutually interact via afour-level double-Λ type atomic system to produce a new frequency weak Stokes field which is a phase conjugate to probe. We show that any arbitrary mode such as Airy, Bessel, Mathieu, and Weber beams encoded initially in the spatial envelope of probe field are efficiently transferred to FWM Stokes field by satisfying the phase matching condition. Interestingly, we found that the transmitted intensity profiles of Stokes beam are identical to that of probe beam while phase profile is complimentary.The phase conjugation property of output beams is revealed by interfering them with a copropagating plane wave. We further found the fidelity in terms of structural similarity between two transmitted modes of about 99%, which substantiates the high efficiency of FWM process. The efficient transfer and frequency conversion of such diffraction-free beams may have potential applications in nonlinear optical and quantum technologies.
We propose a new scheme of the resonant four-wave mixing (FWM) for the frequency up or down conversion, which is more efficient than the commonly-used scheme of the non-resonant FWM. In this new scheme, two control fields are spatially varied such that a probe field at the input can be converted to a signal field at the output. The efficiency of probe-to-signal energy conversion can be 90% at medium's optical depth of about 100. Our proposed scheme works for both the continuous-wave and pulse cases, and is flexible in choosing the control field intensity. This work provides a very useful tool in the nonlinear frequency conversion.
We investigate the nonlinear frequency conversion of nondiffracting optical modes via a nondegenerate four-wave mixing (FWM) process in rubidium vapor. In this process, two strong control fields and a weak probe field mutually interact via a four-level double-$\mathrm{\ensuremath{\Lambda}}$ type atomic system to produce a low frequency weak Stokes field which is a phase conjugate to probe. We show that any arbitrary mode such as Airy, Bessel, Mathieu, and Weber beams encoded initially in the spatial envelope of the probe field are efficiently transferred to the FWM Stokes field by satisfying the phase-matching condition. Interestingly, we found that the transmitted intensity profiles of the Stokes beam are identical to that of the probe beam, while the phase profile is complementary. The phase conjugation property of output beams is revealed by interfering them with a copropagating plane wave. We further found the fidelity in terms of structural similarity between two transmitted modes of about 9999%99, which substantiates the high efficiency of the FWM process. The efficient transfer and frequency conversion of such diffraction-free beams may have potential applications in nonlinear optical and quantum technologies.
In a four-level system of ultracold 87 Rb atoms, through analytical and numerical calculations we propose an efficient scheme to achieve the enhanced four-wave mixing process and demonstrate its dynamical control by various parameters such as the travel distance z , probe detuning δ and the probe pulse width τ. In particular, we find that the maximal intensity of the nonlinearly generated signal pulse can be about 80% of the initial input probe under the optimal condition. This greatly enhanced conversion efficiency occurs due to the constructive quantum interference between two different components of the generated signal pulse.