• Laser & Optoelectronics Progress
  • Vol. 61, Issue 5, 0501002 (2024)
Kun Wei1, Zhiguo Fan1、*, Haihong Jin1、2, Ceding Gui1, and Wanjuan Dong1
Author Affiliations
  • 1School of Computer Science and Information Engineering, Hefei University of Technology, Hefei 230601, Anhui , China
  • 2School of Electronic and Information Engineering, Anhui Jianzhu University, Hefei 230601, Anhui , China
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    DOI: 10.3788/LOP230748 Cite this Article Set citation alerts
    Kun Wei, Zhiguo Fan, Haihong Jin, Ceding Gui, Wanjuan Dong. Skylight Polarization Patterns Modelling Method Under Influence of Dawn and Twilight[J]. Laser & Optoelectronics Progress, 2024, 61(5): 0501002 Copy Citation Text show less

    Abstract

    Existing theoretical models of skylight polarization patterns have problems that only consider the influence of the sun or the moon alone and could not adequately describe the polarization patterns of the sky during the transition between dawn and dusk in clear weather. Therefore, a modelling method of skylight polarization patterns under the influence of dawn and twilight is proposed. The method introduces the influence of the sun and the moon and calculates the Stokes vectors using the position of the sun and the moon. Considering the factors of multiple scattering of atmospheric particles in the actual sky, the influence weights of the sun and the moon are determined by Stokes vector optimization. In addition, the obtained angle of polarization is used to characterize the skylight polarization patterns. The experimental results show that the simulation results of the proposed model and the measured angle of polarization have the same distribution and variation characteristics, and maintain a high degree of similarity, which can effectively characterize the skylight polarization patterns influenced by dawn and twilight.
    Stotal=αSs+βSm
    Stotal=ItotalQtotalUtotal=αIsQsUs+βImQmUm=αIs+βImαQs+βQmαUs+βUm
    χtotal=12arctanαUs+βUmαQs+βQm
    Ptotal=αQs+βQm2+αUs+βUm2αIs+βIm
    P=Pmaxsin2γs1+cos2γs
    tanχ=sinθcosθs-cosθcos(φ-φs)sinθssinφ-φssinθs
    cosγs=cosθcosθs+sinθsinθscosφ-φs
    I=341+cos2γs
    P=Q2+U2/I
    χ=arctanU/Q/2
    Qs=34Pmaxsin2γssinφ-φssinθs2-sinθcosθs-cosθcosφ-φssinθs2sinφ-φssinθs2+sinθcosθs-cosθcosφ-φssinθs2
    Us=34Pmaxsin2γs2sinφ-φssinθssinθcosθs-cosθcosφ-φssinθssinφ-φssinθs2+sinθcosθs-cosθcosφ-φssinθs2
    Q*=1-cQ+ cΩM2,:Idγ
    U*=1-cU + cΩM3,:Idγ
    M(γ)=Δ31+cos2γ/4-3sin2γ/400-3sin2γ/431+cos2γ/400003cosγ/20000Δ'3cosγ/2+1-Δ1000000000000000
    β=EmoonEmoon+Esun
    Emoon=EffEfull
    α+β=1
    Eff=1-cosfπ/20.29
    f=12cosϕ+1
    I=2I0+I60+I120/3 Q=22I0-I60-I120/3U=23I60-I120/3
    χsimilarity=Nχmeasurement-χsimulation<ςNAAll
    Kun Wei, Zhiguo Fan, Haihong Jin, Ceding Gui, Wanjuan Dong. Skylight Polarization Patterns Modelling Method Under Influence of Dawn and Twilight[J]. Laser & Optoelectronics Progress, 2024, 61(5): 0501002
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