• Chinese Optics Letters
  • Vol. 14, Issue 8, 080501 (2016)
Shiyao Fu1, Tonglu Wang2, Yan Gao1, and Chunqing Gao1、*
Author Affiliations
  • 1School of Opto-Electronics, Beijing Institute of Technology, Beijing 100081, China
  • 2School of Physics, Beijing Institute of Technology, Beijing 100081, China
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    DOI: 10.3788/COL201614.080501 Cite this Article Set citation alerts
    Shiyao Fu, Tonglu Wang, Yan Gao, Chunqing Gao. Diagnostics of the topological charge of optical vortex by a phase-diffractive element[J]. Chinese Optics Letters, 2016, 14(8): 080501 Copy Citation Text show less

    Abstract

    A phase-diffractive optical element is designed to measure the topological charge of optical vortices. We use the scalar diffraction theory to calculate the far-field diffraction patterns. The simulation results show that almost all of the power of the incident beams is diffracted to the same diffraction order, and this approach is also effective for multi-ring optical vortices. We upload this phase-diffractive optical element on the liquid crystal spatial light modulator to do the experiment. The observed far-field diffraction patterns fit well with the simulation results.
    ϕ(x,y)=2π·frac(xa+by),(1)

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    {N=a+by1,n=a+by2,(2)

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    U(x,y)=exp(jkd)jλdU0(x0,y0)·exp{jk2d[(xx0)2+(yy0)2]}dx0dy0,(3)

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    U(x,y)=F1{F[U0(x0,y0)]·exp[jkd(1x2+y22d2)]},(4)

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    φ(x,y)=k·x2+y22f,(5)

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    U0=Gexp(iϕ)·exp(iφ).(6)

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    |l|=[W/(p+1)(p+1)],(7)

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    Shiyao Fu, Tonglu Wang, Yan Gao, Chunqing Gao. Diagnostics of the topological charge of optical vortex by a phase-diffractive element[J]. Chinese Optics Letters, 2016, 14(8): 080501
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