• Chinese Optics Letters
  • Vol. 20, Issue 11, 110501 (2022)
Jingyin Zhao1、2、3, Yunxia Jin1、3、4、*, Fanyu Kong1、3, Dongbing He1、3, Hongchao Cao1、3, Wang Hao1、2、3, Yubo Wu1、2、3, and Jianda Shao1、3、4、5
Author Affiliations
  • 1Thin Film Optics Laboratory, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Key Laboratory of High Power Laser Materials, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 4CAS Center for Excellence in Ultra-Intense Laser Science, Chinese Academy of Sciences, Shanghai 201800, China
  • 5Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou 310024, China
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    DOI: 10.3788/COL202220.110501 Cite this Article Set citation alerts
    Jingyin Zhao, Yunxia Jin, Fanyu Kong, Dongbing He, Hongchao Cao, Wang Hao, Yubo Wu, Jianda Shao. Measuring the topological charge of optical vortices with a single plate[J]. Chinese Optics Letters, 2022, 20(11): 110501 Copy Citation Text show less

    Abstract

    Measuring the topological charge (TC) of optical vortex beams by the edge-diffraction pattern of a single plate is proposed and demonstrated. The diffraction fringes can keep well discernible in a wide three-dimensional range in this method. The redundant fringes of the diffracted fork-shaped pattern in the near-field can determine the TC value, and the orientation of the fork tells the handedness of the vortex. The plate can be opaque or translucent, and the requirement of the translucent plate for TC measurement is analyzed. Measurement of TCs up to ±40 is experimentally demonstrated by subtracting the upper and lower fringe numbers with respect to the center of the light. The plate is easy to get, and this feasible measurement can bring great convenience and efficiency for researchers.
    u0(x0,y0,0)u0(x0,y0)=A(x0+iσy0)|l|exp(x02+y02w02),

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    T(x0,y0)={1,x0cosθs+y0sinθs<rsαexp(iΦ),else,

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    d(xs)=d0sin(ϕ1+ϕ2)sin(ϕ1)sin(ϕ2)(xsrs),

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    xs=x0cosθsy0sinθs,ys=x0sinθs+y0cosθs.

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    d(xs)=d0+2tan(β/2)(xsrs).

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    u(x,y,z)=eikziλzdy0u0(x0,y0)T(x0,y0)dx0×exp{ik2z[(xx0)2+(yy0)2]}.

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    u(x,y,z)=eikziλzexp[ik2z(x2+y2)]×F{u0(xs,ys)T(xs,ys)eik2z(xs2+ys2)}=E(x,y,z)·[u1(x,y,z)+αu2(x,y,z)],

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    E(x,y,z)=Aeilθseikziλzexp[ik(x2+y22z)],

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    u1(x,y,z)=dysrsdxs(xs+iσys)|l|×exp[(ik2z1w02)(xs2+ys2)]×exp[ikz(xxs+yys)],

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    u2(x,y,z)=dysrsdxs(xs+iσys)|l|einkd(xs)×exp[(ik2z1w02)(xs2+ys2)]×exp[ikz(xxs+yys)],

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    rmax=|l|/2w0.

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    Jingyin Zhao, Yunxia Jin, Fanyu Kong, Dongbing He, Hongchao Cao, Wang Hao, Yubo Wu, Jianda Shao. Measuring the topological charge of optical vortices with a single plate[J]. Chinese Optics Letters, 2022, 20(11): 110501
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