• Acta Photonica Sinica
  • Vol. 49, Issue 10, 1001001 (2020)
Yin-chao ZHANG, Chen WANG, He CHEN*, Si-ying CHEN, and Pan GUO
Author Affiliations
  • Key Laboratory of Photoelectronic Imaging Technology and System,Ministry of Education,School of Optoelectronics,Beijing Institute of Technology,Beijing 100081,China
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    DOI: 10.3788/gzxb20204910.1001001 Cite this Article
    Yin-chao ZHANG, Chen WANG, He CHEN, Si-ying CHEN, Pan GUO. Calculation Method of Lidar Geometric Factor Based on Field of View[J]. Acta Photonica Sinica, 2020, 49(10): 1001001 Copy Citation Text show less

    Abstract

    In order to solve the problem of deviation in the calculation method of traditional lidar geometric factors, the full field and half field of view functions in the telescope are derived through geometric optics, and the geometric factor is obtained by the ratio of the double integral of the field of view function of the uniformly emitted laser beam area to the cross-sectional area of the laser beam. Considering the effect of the laser optical axis tilt misalignment, the geometric factor calculation equation for the atmospheric detection coaxial lidar is derived. According to the proposed calculation equation, the geometric factor of the typical atmospheric detection coaxial lidar is calculated and compared with the traditional method result. The result shows that the minimum full overlap distance is consistent. Finally, the effects of laser beam diameter, divergence angle, and laser optical axis tilt angle related to excitation-emission on geometric factors are analyzed. The results show that the influence of the laser divergence angle is greater than that of the beam diameter. The method is suitable for the rapid calculation of the lidar geometric factor of the uniformly distributed laser emission beam and can provide a reference for the design of the lidar.
    Prz=P0cΔτ2βzAz2Oz×exp-20zαrdr

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    Oz=EdetzEscatz

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    Gz=DL+zθL2

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    vz=ωz

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    1z+1zi=1f

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    ri=yziz

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    R1=zi-fziD12=fD12z

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    R2=fD22z

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    e=frz

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    Fr,z=0                 eR1+s or 0e<R2-ss2-R22R12-R22            0e<s-R2  R2sR1+R2/2 or 0eR1- sR1+R2/2sR1πs2-AR2,s;eπR12-πR22        0<R2-s<e<R2+s or R2<s<R1-R22s-R2<          e<R2+s or R1-r2<s<R1+r2s-r<e<R1-sAR1,s;e-πR22πR12-πR22       R1+R22<s<R1R1-ses-R2 or 0<s-          R1<e<s-R2s2R12-R22           sR1-R22R2+seR1-sAR1,s;e-AR2,s;eπR12-πR22    R1-seR2+sR1-R22<s<R1+R22 or s-        R2es+R2sR1+R22AR1,s;eπR12-πR22          R1-s<e<R1+ssR1-R22 or R2+s<e<R1+        ss>R1-R221              es-R1  s>R1

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    AR,s;e=R2arccose2+R2-s22eR+s2arccose2+s2-R22es-12R+s2-e2e2-R-s2

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    Oz=2×0πdθ0φθFr,zrdrπG2

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    Yin-chao ZHANG, Chen WANG, He CHEN, Si-ying CHEN, Pan GUO. Calculation Method of Lidar Geometric Factor Based on Field of View[J]. Acta Photonica Sinica, 2020, 49(10): 1001001
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