• Photonics Research
  • Vol. 9, Issue 3, 331 (2021)
Hui Yang1, Zhenwei Xie1、2、4, Guanhai Li3, Kai Ou3, Feilong Yu3, Hairong He1, Hong Wang2, and Xiaocong Yuan1、*
Author Affiliations
  • 1Nanophotonics Research Center, Shenzhen Key Laboratory of Microscale Optical Information Technology, Institute of Microscale Optoelectronics, Shenzhen University, Shenzhen 518060, China
  • 2School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
  • 3National Laboratory for Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China
  • 4e-mail: ayst3_1415926@sina.com
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    DOI: 10.1364/PRJ.411503 Cite this Article Set citation alerts
    Hui Yang, Zhenwei Xie, Guanhai Li, Kai Ou, Feilong Yu, Hairong He, Hong Wang, Xiaocong Yuan. All-dielectric metasurface for fully resolving arbitrary beams on a higher-order Poincaré sphere[J]. Photonics Research, 2021, 9(3): 331 Copy Citation Text show less

    Abstract

    Characterizing the amplitude, phase profile, and polarization of optical beams is critical in modern optics. With a series of cascaded optical components, one can accurately resolve the optical singularity and polarization state in traditional polarimetry systems. However, complicated optical setups and bulky configurations inevitably hinder future applications for integration. Here, we demonstrate a metadevice that fully resolves arbitrary beams on a higher-order Poincaré sphere (HOPS) via a single-layer all-silicon metasurface. The device is compact and capable of detecting optical singularities and higher-order Stokes parameters simultaneously through a single intensity measurement. To verify the validity of the proposed metadevice, different beams on HOPS0,0 and HOPS1,-1 are illuminated on the metadevices. The beams are fully resolved, and the reconstructed higher-order Stokes parameters show good agreement with the original ones. Taking the signal-to-noise ratio into account, the numerical simulations indicate that the design strategy can be extended to fully resolve arbitrary beams on HOPS with order up to 4. Because of the advantages of compact configuration and compatibility with current semiconductor technology, the metadevice will facilitate potential applications in information processing and optical communications.
    |ψm,n=ARm|Rm+ALn|Ln,

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    |Rm=exp(imφ)(x^iσy^)/2,

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    |Ln=exp(inφ)(x^+iσy^)/2,

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    S0m,n=|ARm|2+|ALn|2,

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    S1m,n=2|ARm||ALn|cosφ,

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    S2m,n=2|ARm||ALn|sinφ,

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    S3m,n=|ARm|2|ALn|2,

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    φ(x,y)=arg{i=1nELiexp[iφLi+ilLiθ(x,y)]}+arg{i=1nERiexp[iφRi+ilRiθ(x,y)]},

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    φLi=2πλ[(xxLi)2+(yyLi)2+f2fLi],φRi=2πλ[(xxRi)2+(yyRi)2+f2fRi],

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    fRi=xRi2+yRi2+f2,fLi=xLi2+yLi2+f2,θ(x,y)=arctan(y/x),

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    φx=(φL+φR)/2,(A1)

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    φy=(φL+φR)/2π,(A2)

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    θ=(φRφL)/4,(A3)

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    ε=|tx·exp(iφx)exp(iφ1)|+|ty·exp(iφy)exp(iφ2)|,(A4)

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    P=[4321×43210432104321×],(B1)

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    S0m,n=|ARm|2+|ALn|2I,(D1)

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    S1m,n=2|ARm||ALn|cosφ=|AXm,n|2|AYm,n|2,(D2)

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    S2m,n=2|ARm||ALn|sinφ=|ADm,n|2|AAm,n|2,(D3)

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    S3m,n=|ARm|2|ALn|2,(D4)

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    IRm=|ARm|2,(D5)

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    ILn=|ALn|2,(D6)

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    IXm,n=12(|ARm|2+|ALn|2+2ARmALncosφ),(D7)

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    IDm,n=12(|ARm|2+|ALn|2+2ARmALnsinφ).(D8)

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    (S0m,nS1m,nS2m,nS3m,n)=Mm,n·(IRmILnIXm,nIDm,n)=(1100112011021100)·(IRmILnIXm,nIDm,n).(D9)

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    (BRmBLnBXm,nBDm,n)=Nm,n·(IRmILnIXm,nIDm,n),(D10)

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    (I1m,nI2m,nI3m,nI4m,n)(BRmBLnBXm,nBDm,n)=(IRmILnIXm,nIDm,n),(D11)

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    Sm,n=Mm,n·I0m,n=Mm,n·(E+Nm,n)1·Im,n=Dm,n·Im,n,(D12)

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    D0,0=[0.17030.17080.01510.00030.23410.23640.35730.00430.22670.22410.01360.35820.18340.21910.00180.0285],(D13)

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    D1,1=[0.11250.11280.05570.04080.12570.13630.77290.56500.10320.09220.68330.83060.13280.13990.02070.0251].(D14)

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    Hui Yang, Zhenwei Xie, Guanhai Li, Kai Ou, Feilong Yu, Hairong He, Hong Wang, Xiaocong Yuan. All-dielectric metasurface for fully resolving arbitrary beams on a higher-order Poincaré sphere[J]. Photonics Research, 2021, 9(3): 331
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