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Optics Express

High-contrast nonlinear spiral phase contrast imaging via four-wave mixing in atomic medium

Wei Gao, Sandan Wang, Jinpeng Yuan, Lirong Wang, Liantuan Xiao, Suotang Jia

Published Aug 22, 2025• 5 citations
Publisher

Abstract

Nonlinear spiral phase contrast imaging serves as a powerful tool for high-performance image edge detection in optical imaging. Compared to conventional computer-based digital imaging methods, it offers numerous possibilities for optical image processing with superior speed, lower energy consumption, and high information capacity. Here, we experimentally demonstrate the high-contrast nonlinear spiral phase contrast imaging in a diamond-type atomic system. A pump vortex-filtered beam (780 nm) and a signal beam with object image (776 nm) simultaneously interact with Rb atomic medium. As a result, a 420 nm beam is generated via the nonlinear four-wave mixing process, carrying the edge information of asymmetric Arabic numeral patterns. The geometric patterns such as triangle, circle, and square are further utilized to validate the effectiveness of nonlinear spiral phase contrast imaging. The high image contrast of ∼95.8% is achieved owing to the stringent phase matching conditions via the atomic four-wave mixing process. Moreover, the directional nonlinear spiral phase contrast imaging of circle and square patterns at 420 nm are realized by employing a Laguerre-Gaussian composite vortex filter on the 780 nm pump beam. This work establishes a versatile platform for multi-wavelength optical image analysis and provides a robust foundation for developing optical information processing methods.

DOI
10.1364/oe.572157

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Nonlinear spiral phase contrast imaging serves as a powerful tool for high-performance image edge detection in optical imaging. Compared to conventional computer-based digital imaging methods, it offers numerous possibilities for optical image processing with superior speed, lower energy consumption, and high information capacity. Here, we experimentally demonstrate the high-contrast nonlinear spiral phase contrast imaging in a diamond-type atomic system. A pump vortex-filtered beam (780 nm) and a signal beam with object image (776 nm) simultaneously interact with Rb atomic medium. As a result, a 420 nm beam is generated via the nonlinear four-wave mixing process, carrying the edge information of asymmetric Arabic numeral patterns. The geometric patterns such as triangle, circle, and square are further utilized to validate the effectiveness of nonlinear spiral phase contrast imaging. The high image contrast of ∼95.8% is achieved owing to the stringent phase matching conditions via the atomic four-wave mixing process. Moreover, the directional nonlinear spiral phase contrast imaging of circle and square patterns at 420 nm are realized by employing a Laguerre-Gaussian composite vortex filter on the 780 nm pump beam. This work establishes a versatile platform for multi-wavelength optical image analysis and provides a robust foundation for developing optical information processing methods.
Atomic vapours are an experimentally simple and efficient system in which to study nonlinear wave mixing. We study a four-wave mixing (FWM) process in rubidium vapour which efficiently converts 780 and 776 nm light to 420 nm and 5.2 μm fields. In particular, we quantitatively investigate the transfer of orbital angular momentum (OAM) between the FWM fields. OAM, and structured light more generally, is an important research tool for optical manipulation, imaging and communication. Phase-matched nonlinear processes are both longitudinally and transversely phase coherent, and therefore OAM, which is associated with spiral phase fronts, must be conserved between the pump and generated fields. This makes wave mixing an ideal tool for frequency conversion and generation of a variety of OAM states for use in both classical and quantum communication.
Abstract Laguerre-Gauss beams, and more generally the orbital angular momentum of light (OAM) provide valuable research tools for optical manipulation, processing, imaging and communication. High-efficiency frequency conversion of OAM is possible via four-wave mixing in rubidium vapour. Conservation of the OAM in the two pump beams determines the total OAM shared by the generated light fields at 420 nm and 5.2 μm—but not its distribution between them. Here we experimentally investigate the spiral bandwidth of the generated light modes as a function of pump OAM. A small pump OAM is transferred almost completely to the 420 nm beam. Increasing the total pump OAM broadens the OAM spectrum of the generated light, indicating OAM entanglement between the generated light fields. This clears the path to high-efficiency OAM entanglement between widely disparate wavelengths.
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.
Abstract The spatial structure and propagation of vortex Four-Wave mixing (FWM) generated in a cascade three-level atomic system when Laguerre-Gaussian (LG) beams are used as the incident pump fields are studied. Firstly, by solving the third-order density matrix elements in the steady state, the intensity expression of the vortex FWM signal is obtained. Next, their spatial image and phase during the propagation process are researched. It is shown that with the increase of propagation distance, its image of the intensity tends to a Gaussian beam, and the center of the spot gradually deviates from the original optical singularity. Furthermore, after superposing multiple topological charge (TC) numbers, the intensity and phase images present entirely different light spots at various positions. The TC number can rapidly increase the capacity of the signal for carrying information. This type of signal can be utilized in quantum communication and information, offering a scalable light source for high-dimensional quantum storage.
Considering the fact that the orbital angular momentum of light can be transferred through light-matter interactions, we experimentally induced a dressed vortex four-wave mixing (FWM) with the interaction between a vortex probe beam and an inverted Y-type four-level atomic system with a photonic band gap. Further, the Kerr-nonlinearity-modulated propagation behaviors of the probe and the dressed FWM vortices are investigated, including the spatial shift, splitting, and incompleteness of the vortex shape. Strikingly, the propagation behaviors of the vortex beams can be influenced by the interaction between the nonlinear phase and the spiral phase. This study would promote the development of optical computing and information processing science related to the interactions between optical vortices and samples.
The Airy beam in the short-wavelength regime, endowed with tunable physical properties of self-acceleration, non-diffraction, and self-healing, holds significant promise for advancing high-resolution optical trapping and imaging.Here, we experimentally demonstrate a tunable blue-violet Airy beam generator based on a non-degenerate four-wave mixing process in a diamondtype energy level system of Rb atoms.The 420 nm signal two-dimensional Airy beam is generated when the 780 nm Gaussian pump and the 776 nm probe Airy beams simultaneously interact with the atomic medium.The physical properties of the Airy beam are transferred from the near-infrared (776 nm) to the blue-violet (420 nm) wavelength via the non-degenerate fourwave mixing process.Compared to the input 776 nm probe Airy beam, the generated 420 nm Airy beam exhibits ∼1.86 times reduction in non-diffraction distance and ∼1.83 times increase in acceleration owing to the nonlinear frequency conversion.Additionally, the self-healing property of the generated 420 nm Airy beam is verified by the robust reappearance of the blocked beam main lobe.The all-optical control of the generated 420 nm Airy beam is achieved by tuning the Rb vapor temperature and the pump beam power, enabling dynamic manipulation of beam intensity and spatial profile.Our work establishes a versatile platform for generating a tunable short-wavelength structured light field by nonlinear light-matter interactions, opening avenues for applications in optical information processing and precision microfabrication.