• Laser & Optoelectronics Progress
  • Vol. 59, Issue 4, 0429001 (2022)
Xinglong Xiong*, Jie Wang, Kui Liu, and Yuzhao Ma
Author Affiliations
  • Key Laboratory for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300, China
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    DOI: 10.3788/LOP202259.0429001 Cite this Article Set citation alerts
    Xinglong Xiong, Jie Wang, Kui Liu, Yuzhao Ma. Lidar Slant-Range Visibility Retrieval Method Based on Effect of Multiple Scattering[J]. Laser & Optoelectronics Progress, 2022, 59(4): 0429001 Copy Citation Text show less

    Abstract

    Aiming at the effect of multiple scattering under low visibility weather conditions, an improved method is proposed for inverting slant-range visibility based on the multiple scattering lidar equation. First, the semi-analytical Monte Carlo method is used to calculate the ratio m of multiple scattering to single scattering based on the backscattering peak fitting the scattering phase function. Second, using the Collis method, the visibility level value is obtained, and the corresponding m value is substituted into the multiple scattering lidar equation. Then, the Fernald method is used to invert the extinction coefficient and solve the slant-range visibility. Experiments were performed on the echo signals of haze and heavy rain with different visibility levels detected by lidar, and the slant-range visibility results obtained using the fitting method in this paper and the commonly used Henyey-Greenstein (HG) function method were compared. The results show that the slant-range visibility difference is 10.9% under haze conditions and 5.6% under heavy rain conditions. The proposed method improves slant-range visibility accuracy inverted by the backscattering lidar.
    Sr,α=Cr-2βmr+βar1+mrexp-20rσmr0+σar0dr0
    σar=-SaSmσmr+Prexp2SaSm-1rr1σmr0dr0Prmσarm+SaSmσmrm+2rrmPr'exp2SaSm-1rr1σmr''dr''dr',
    0Rσrdr=lnBtBw1εBt-BgBt-1+1A
    PMieθ=S12+S22n=12n+1an2+bn2,
    PHGθ=1-g21+g2-2gcos θ3/2,
    PRHG(θ)=1-g21+g2-2gcos θ3/2+31-g41+cos θ2+g-1
    D0=ux,0uy,0uz,0=sin θ0cos φ0sin θ0sin φ0cos θ0,
    s=-ln ξσt,
    xp,yp,zp=xp-1+sux,p-1,yp-1+suy,p-1,zp-1+suz,p-1
    θ1=arccos12g(1-g2)2(1-g+2gξθ)2-(1+g2)
    θp=arccos12g(1+g2)-(1-g2)2(1-g+2gξθ)2
    Dp=ux,puy,puz,p=sin θp(ux,p-1uz,p-1cos φp-uy,p-1sin φp)1-u2z,p-1+ux,p-1cos θpsin θp(uy,p-1uz,p-1cos φp+ux,p-1sin φp)1-u2z,p-1+uy,p-1cos θp-sin θpcos φp1-u2z,p-1+uz,p-1cos θp
    ωp=ωp-1exp-σas
    P=pn(θ)4πexp-σarp+i=1psp,
    Xinglong Xiong, Jie Wang, Kui Liu, Yuzhao Ma. Lidar Slant-Range Visibility Retrieval Method Based on Effect of Multiple Scattering[J]. Laser & Optoelectronics Progress, 2022, 59(4): 0429001
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