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Optics Letters

Optical control of an Airy beam via four-wave mixing and six-wave mixing

Xinghua Li, Yuxuan Gao, Yixin Lin, Wannian Fang, Jinjing Zhang, Zhiguo Wang, Yanpeng Zhang

Published Apr 22, 2020• 13 citations
Publisher

Abstract

We use a conventional linear Airy beam to prepare a nonlinear Airy beam via four-wave mixing (FWM) and six-wave mixing (SWM) processes in an atomic vapor. We find that its ballistic trajectory is a result of the competition between the transverse self-acceleration and nonlinear phase shift, and the intensity of Airy beam's sub lobes or main lobe is suppressed due to destructive interference of the FWM and SWM processes. By controlling the nonlinear overlap area of the linear Airy beam and two Gaussian beams, we find that the Airy beam's profile varies from one-dimensional (1D) to two-dimensional (2D). The profile evolution process can be applied to create a new (to our knowledge) type of nonlinear filter. In addition, we also observe the Airy beam's pattern in momentum space with electromagnetically induced transparency (EIT) in an atomic vapor. Our research results open up new possibilities for manipulating Airy beams that cannot be achieved with a conventional Airy beam.

DOI
10.1364/ol.393566

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We use a conventional linear Airy beam to prepare a nonlinear Airy beam via four-wave mixing (FWM) and six-wave mixing (SWM) processes in an atomic vapor. We find that its ballistic trajectory is a result of the competition between the transverse self-acceleration and nonlinear phase shift, and the intensity of Airy beam's sub lobes or main lobe is suppressed due to destructive interference of the FWM and SWM processes. By controlling the nonlinear overlap area of the linear Airy beam and two Gaussian beams, we find that the Airy beam's profile varies from one-dimensional (1D) to two-dimensional (2D). The profile evolution process can be applied to create a new (to our knowledge) type of nonlinear filter. In addition, we also observe the Airy beam's pattern in momentum space with electromagnetically induced transparency (EIT) in an atomic vapor. Our research results open up new possibilities for manipulating Airy beams that cannot be achieved with a conventional Airy beam.
Airy vortex beams, which integrate orbital angular momentum with diffraction-resistant and self-accelerating characteristics of Airy beams, offer unique capabilities for high-capacity optical communication and high-resolution imaging. Here, we experimentally demonstrate the generation and manipulation of frequency-converted Airy vortex beams through four-wave mixing in hot Rb vapor. A 780 nm vortex beam and a 776 nm two-dimensional Airy beam coherently participate in the four-wave mixing process, generating a 420 nm output beam that combines the orbital angular momentum of the vortex beam with the spatial structure of the Airy beam. The generated beam exhibits pronounced quasi-nondiffracting propagation and self-acceleration, with an intensity decay rate reduced by a factor of ∼1.88 relative to the input vortex beam and a transverse acceleration ∼1.84 times that of the input Airy beam. Moreover, both the intensity and the spatial profile of the generated beam are flexibly manipulated by varying the Rb vapor temperature and the pump beam power. This work provides a versatile approach for generating and controlling structured light at what we believe are new wavelengths, opening opportunities for short-wavelength optical manipulation and optical information processing.
We report on an experimental generation of Airy beams by four-wave mixing (FWM) in atomic vapor cells. This is achieved by using a non-degenerate FWM process, which occurs with two Gaussian pump beams and one Airy signal beam in hot Rubidium vapor. After satisfying the phase matching condition, a FWM field with the profile of an Airy beam can be generated. In our experiment, the diffraction-free and self-healing behaviors of the generated FWM beam are examined. The results shown that the generated FWM beam is an Airy beam. The nonlinear generation process can be extended to other configurations in the atomic medium, which will be useful for manipulation and application of Airy beams in atomic systems.
Using phase control between four-wave mixing (FWM) and six-wave mixing (SWM) channels in a four-level atomic system, we demonstrate temporal and spatial interferences between these two nonlinear optical processes. Efficient and coexisting FWM and SWM signals are produced in the same electromagnetically induced transparency window via atomic coherence. The temporal interference has a femtosecond time scale corresponding to the optical transition frequency. Such studies of intermixing between different order nonlinear optical processes with a controllable phase delay can have important applications in high-precision measurements, coherence quantum control, and quantum information processing.
We investigate the interplay between six-wave mixing (SWM) and four-wave mixing (FWM) resulting from atomic coherence and polarization beat in a four-level atomic system. The dressed FWM evolution and competition pathways can be controlled by the coupling field to exhibit two FWM and SWM turning points, FWM+SWM, and FWM+FWM interference regions. Quantum interference between two FWM or one FWM and one SWM channels leads to nonlinear signal enhancement and suppression under different conditions. The fifth-order nonlinear response can be obtained by the phase control of the polarization beat between the FWM and SWM signals.