• Photonics Research
  • Vol. 12, Issue 1, 33 (2024)
Zhuoyi Wang1, Xingyuan Lu1、5、*, Jianbo Gao1, Xuechun Zhao1, Qiwen Zhan2, Yangjian Cai3、4、6、*, and Chengliang Zhao1、7、*
Author Affiliations
  • 1School of Physical Science and Technology, Soochow University, Suzhou 215006, China
  • 2School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
  • 3Shandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250358, China
  • 4Shandong Joint Research Center of Light Manipulation Science and Photonics Integrated Chip of East China Normal University and Shandong Normal University, East China Normal University, Shanghai 200241, China
  • 5e-mail: xylu@suda.edu.cn
  • 6e-mail: yangjian_cai@163.com
  • 7e-mail: zhaochengliang@suda.edu.cn
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    DOI: 10.1364/PRJ.499520 Cite this Article Set citation alerts
    Zhuoyi Wang, Xingyuan Lu, Jianbo Gao, Xuechun Zhao, Qiwen Zhan, Yangjian Cai, Chengliang Zhao. Coherence phase spectrum analyzer for a randomly fluctuated fractional vortex beam[J]. Photonics Research, 2024, 12(1): 33 Copy Citation Text show less

    Abstract

    Fractional vortex beams exhibit a higher degree of modulation dimensions than conventional vortices, thus inheriting superior anti-turbulent transmission properties through the incorporation of additional coherence modulation. However, aliasing the mixed modes induced by coherence degradation makes the quantitative measurement of the topological charge in fractional vortex beams challenging. In this study, a coherence phase spectrum was introduced, and experimental demonstrations to quantitatively determine the fractional topological charge of partially coherent fractional vortex beams were performed. By leveraging the four-dimensional measurement of a partially coherent light field, the source coherence function was inversely reconstructed, and fractional topological charges were determined with high precision by extracting the phase spectrum of the coherence function. Laguerre–Gaussian, elliptical Gaussian, and plane-wave-fraction vortex beams with various degrees of coherence were used to demonstrate measurement precision. The proposed method is applicable to X-rays and electron vortices. It has potential applications in optical encryption, high-capacity optical communication, and quantum entanglement.
    W(r1,θ1,r2,θ2)=A(r1)A(r2)exp[(r1r2)/(2δ02)]exp(ilθ1+ilθ2),

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    exp(ilθ)=exp(ilπ)sin(πl)πm=+exp(imθ)lm,

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    Pm=|exp(ilθ)exp(imθ)dθ|.

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    l=l0Pl0+l1Pl1Pl0+Pl1.

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    ψni(k)=I0(k)n=1Nψni(k)ψn*i(k)ψni(k),Eni+1(ρ)=Eni(ρ)+βO*(ρ)|O(ρ)|max2[Φni(ρ)Φni(ρ)],

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    Zhuoyi Wang, Xingyuan Lu, Jianbo Gao, Xuechun Zhao, Qiwen Zhan, Yangjian Cai, Chengliang Zhao. Coherence phase spectrum analyzer for a randomly fluctuated fractional vortex beam[J]. Photonics Research, 2024, 12(1): 33
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