• Acta Photonica Sinica
  • Vol. 50, Issue 4, 66 (2021)
Xiyu GONG1、2, Peng ZHANG1、2、3, Xiaojie WU1、2, Hang NAN1、2, Daifang GUO1、2, Chao WANG1、2, and Shoufeng TONG1、2、3
Author Affiliations
  • 1College of Optoelectronics Engineering, Changchun University of Science and Technology, Changchun;30022, China
  • 2National and Local Joint Engineering Research Center of Space Optoelectronics Technology, Changchun University of Science and Technology, Changchun1300, China
  • 3Shenzhen Pengcheng Laboratory, Shenzhen, Guangdong518052, China
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    DOI: 10.3788/gzxb20215004.0401003 Cite this Article
    Xiyu GONG, Peng ZHANG, Xiaojie WU, Hang NAN, Daifang GUO, Chao WANG, Shoufeng TONG. Research on Influence of Aberration and Turbulence on Performance of 90° Space Optical Hybrid[J]. Acta Photonica Sinica, 2021, 50(4): 66 Copy Citation Text show less

    Abstract

    The optical signal is distorted in the atmospheric turbulence, after passing through the defective optical antenna and the space optical hybrid, there are problems of low hybrid efficiency and jitter. According to the influence of 90° space optical hybrid with space output and single-mode output, the hybrid efficiency model of space optical hybrid with primary aberration is derived. Then the influence of aberration and turbulence on hybrid efficiency is studied. The simulation results show that for the space output 90° space optical hybrid with a target radius of 50 μm of the detector, the tilt, spherical aberration, defocus,coma,and astigmatism with aberration of 0.2λ cause the hybrid efficiency to decrease by 9.8%, 0.6%, 0.36%, 0.02% and 0.01%, respectively. Astigmatism and coma have no effect on the hybrid efficiency. For the single-mode output hybrid, the tilt, astigmatism, defocus, coma, and spherical aberration with aberration of 0.2λ cause the hybrid efficiency to decrease by 14.11%, 8.39%, 6.35%, 2.63% and 1.13%, respectively. When the turbulence intensity Cn2<6.4×10-17 m-2/3, the hybrid efficiency of the spatial output type is more than 0.19 higher than that of the single-mode output 90° space optical hybrid, and when the turbulence intensity Cn2>6.4×10-16 m-2/3 , the hybrid efficiency of the two is close to zero. Finally, the space output and single-mode output optical hybrid are designed and processed, and the performance test platform is built. For the space output hybrid with a detector target surface radius of 50 μm, the tilt, spherical aberration, and defocus of 0.2λ cause the hybrid efficiency to decrease by 52%, 10%, and 6%; for the single-mode output hybrid, the tilt, astigmatism and defocus with aberration of 0.2λ cause the hybrid efficiency to decrease by 65%, 24% and 11%. Other aberrations have no effect on the hybrid efficiency.The experimental results of turbulence on the hybrid performance show that the standard deviation of the intermediate frequency signal value of the space output optical hybrid is 21.388, which is much lower than that of single-mode output standard deviation 247.442.
    ES=AS[r,θ]exp[i-ωSt+φS]EL=AL[r,θ]exp[i-ωLt+φL](1)

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    I=AS2+AL2+2ASALcosφS-φL(2)

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    i2=eηGhυ202π0r02ALr,θASr,θcosΔφrdrdθ2(3)

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    iN2=2Be2ηG2hυ02π0r0ALr,θ2rdrdθ(4)

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    SNR=2ηPSBhυ02π0r02ALr,θASr,θcosΔφrdrdθ202π0r0ALr,θ2rdrdθ02π0ASr,θ2rdrdθ(5)

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    γ=02π0r02ASr,θALr,θcosΔφrdrdθ202π0ASr,θ2rdrdθ02π0r0ALr,θ2rdrdθ(6)

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    η=02π0r0Ar,θMr,θrdrdθ202π0Ar,θ2rdrdθ02π0r0Mr,θ2rdrdθ(7)

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    02π0Mr2rdrdθ=1Mr=2πωs2exp-r2ωs2(8)

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    ηs=4ωs20r0EsrMrrdr20Esr2rdrηL=4ωs20r0ELrMrrdr20ELr2rdr(9)

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    ηSL=As2π2d4ωs2λs2f20r0J1πrFλSπrFλSexp-r2ω'02rdrdθ2+4AL2ωs20r0exp-r2ω'02exp-r2ω's2rdrdθ2As2π2d44λs2f20J1πrFλSπrFλS2rdr+AL20exp-r2ω'022rdr(10)

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    γSMF=ηSLηLγ(11)

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    φr,θ=a0+k=1NakZkr,θ(12)

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    Zevenkr,θ=2n+1Rnmrcosmθ     m0Zoddkr,θ=2n+1Rnmrsinmθ       m0Zkr,θ=2n+1Rn0r                             m=0(13)

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    Rnmr=sn-m/2-1sn-s!s!n+m/2-s!×n-m/2-s!rn-2s        m<n,n-m=even(14)

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    Wtiltρ,θ=kρcosθ=k2Z1-1Wdefocusρ,θ=kρ2=kZ20+323Wastigmatismρ,θ=kρ2cosθ=kZ226Wcomaρ,θ=kρ3cosθ=kZ31+3Z1138Wspherical aberrationρ,θ=kρ4=k6Z405+3Z20+2(15)

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    γ=02π0r02ASr,θALr,θcoskWXρ,θrdrdθ202π0ASr,θ2rdrdθ02π0r0ALr,θ2rdrdθ(16)

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    γW=02π0r0J1πrFλSπrFλSexp-r2ω'02coskSWXρ,θrdrdθ202π0J1πrFλSπrFλS2rdrdθ02π0r0exp-r2ω'022rdrdθ(17)

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    φT2=0.782Lk2Cn2L05/3(18)

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    γT=02π0r0J1πrFλSπrFλSexp-r2ω'02cosφTrdrdθ202π0J1πrFλSπrFλS2rdrdθ02π0r0exp-r2ω'022rdrdθ(19)

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    Xiyu GONG, Peng ZHANG, Xiaojie WU, Hang NAN, Daifang GUO, Chao WANG, Shoufeng TONG. Research on Influence of Aberration and Turbulence on Performance of 90° Space Optical Hybrid[J]. Acta Photonica Sinica, 2021, 50(4): 66
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