• Photonics Research
  • Vol. 9, Issue 7, 1204 (2021)
Domenico Bongiovanni1、2、†, Denghui Li1、†, Mihalis Goutsoulas3, Hao Wu1, Yi Hu1, Daohong Song1, Roberto Morandotti1、4、7、*, Nikolaos K. Efremidis1、3、5, and Zhigang Chen1、6、8、*
Author Affiliations
  • 1MOE Key Laboratory of Weak-Light Nonlinear Photonics, TEDA Applied Physics Institute and School of Physics, Nankai University, Tianjin 300457, China
  • 2INRS-EMT, 1650 Blvd. Lionel-Boulet, Varennes, Quebec J3X 1S2, Canada
  • 3Department of Applied Mathematics, University of Crete, Heraklion, Crete 71409, Greece
  • 4Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China
  • 5Institute of Applied and Computational Mathematics, FORTH, Heraklion, Crete 70013, Greece
  • 6Department of Physics & Astronomy, San Francisco State University, San Francisco, California 94132, USA
  • 7e-mail: morandotti@emt.inrs.ca
  • 8e-mail: zgchen@nankai.edu.cn
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    DOI: 10.1364/PRJ.420872 Cite this Article Set citation alerts
    Domenico Bongiovanni, Denghui Li, Mihalis Goutsoulas, Hao Wu, Yi Hu, Daohong Song, Roberto Morandotti, Nikolaos K. Efremidis, Zhigang Chen, "Free-space realization of tunable pin-like optical vortex beams," Photonics Res. 9, 1204 (2021) Copy Citation Text show less

    Abstract

    We demonstrate, both analytically and experimentally, free-space pin-like optical vortex beams (POVBs). Such angular-momentum-carrying beams feature tunable peak intensity and undergo robust antidiffracting propagation, realized by judiciously modulating both the amplitude and the phase profile of a standard laser beam. Specifically, they are generated by superimposing a radially symmetric power-law phase on a helical phase structure, which allows the inclusion of an orbital angular momentum term to the POVBs. During propagation in free space, these POVBs initially exhibit autofocusing dynamics, and subsequently their amplitude patterns morph into a high-order Bessel-like profile characterized by a hollow core and an annular main lobe with a constant or tunable width during propagation. In contrast with numerous previous endeavors on Bessel beams, our work represents the first demonstration of long-distance free-space generation of optical vortex “pins” with their peak intensity evolution controlled by the impressed amplitude structure. Both the Poynting vectors and the optical radiation forces associated with these beams are also numerically analyzed, revealing novel properties that may be useful for a wide range of applications.
    iψz+12k(2ψr2+1rψr+1r22ψθ2)=0.

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    ψ(r,θ,z)=ik2πz0r02πA(ρ)exp[iϕ(ρ,φ)]eikr2+ρ22ρrcos(φϑ)2zρdρdφ,

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    ψ(r,z)=i|l|2πk2γA[ρ(z)]Jl[kr(Cγzγ1)12γ](Cγzγ2)12γ×exp{i[kr22z+(C2γ2zγ)12γk2(12γ)π4(1+2|l|)lθ]},

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    A(ρ)=APOVB(ρ)i|l|ργ/22γ2πγkC,

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    R(z)=Rl02k(Cγzγ1)12γ,

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    APOVB(ρ)=3.23I[ρ2γ/(Cγ)]/I0,

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    S=12μ0(E×B*+E*×B)=ω2μ0[i(ψψ*ψ*ψ)+2k|ψ|2z^],

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    Fscat(r,θ,z)=nmcCprSz,

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    Cpr=Cscat=83πk4a6(m21m2+2)2,

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    Fgrad(r,θ,z)=2πnma3c(m21m2+2)I(r,θ,z).

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    Domenico Bongiovanni, Denghui Li, Mihalis Goutsoulas, Hao Wu, Yi Hu, Daohong Song, Roberto Morandotti, Nikolaos K. Efremidis, Zhigang Chen, "Free-space realization of tunable pin-like optical vortex beams," Photonics Res. 9, 1204 (2021)
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