• Chinese Optics Letters
  • Vol. 16, Issue 3, 030501 (2018)
Wuhong Zhang and Lixiang Chen*
Author Affiliations
  • Department of Physics, College of Physics Science and Technology, Xiamen University, Xiamen 361005, China
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    DOI: 10.3788/COL201816.030501 Cite this Article Set citation alerts
    Wuhong Zhang, Lixiang Chen. High-harmonic-generation-inspired preparation of optical vortex arrays with arbitrary-order topological charges[J]. Chinese Optics Letters, 2018, 16(3): 030501 Copy Citation Text show less

    Abstract

    In the process of high-harmonic generation with a Laguerre-Gaussian (LG) mode, it was well established that the topological charge could be of an N-fold increase due to angular momentum conservation. Here, by mimicking the effect of high-harmonic generation, we devise a simple algorithm to generate optical vortex arrays carrying arbitrary topological charges with a single phase-only spatial light modulator. By initially preparing a coaxial superposition of suitable low-order LG modes, we demonstrate experimentally that the topological charges of the embedded vortices can be multiplied and transformed into arbitrarily high orders on demand, while the array structure remains unchanged. Our algorithm offers a concise way to efficiently manipulate the structured light beams and holds promise in optical micromanipulation and remote sensing.
    LGp(ρ,ϕ)=Rp(ρ)exp(iϕ),(1)

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    Rp(ρ)=Ap,(2ρω)||exp(ρ2ω2)Lp||(2ρ2ω2),(2)

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    EN(ρ,ϕ)=η[E1(ρ,ϕ)]N=ηA1N(ρ)exp(iNϕ),(3)

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    EN(ρ,ϕ)=[,pa,pLGp(ρ,ϕ)]N,(4)

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    Wuhong Zhang, Lixiang Chen. High-harmonic-generation-inspired preparation of optical vortex arrays with arbitrary-order topological charges[J]. Chinese Optics Letters, 2018, 16(3): 030501
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