• Acta Photonica Sinica
  • Vol. 49, Issue 12, 180 (2020)
Yin ZHANG1、2, Jun MA1、2, Jun-hua YAN1、2、*, Hao YAN1、2, Xi-yang ZHI3, and Jin-nan GONG3
Author Affiliations
  • 1Key Laboratory of Space Photoelectric Detection and Perception, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics, Nanjing206, China
  • 2College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing11106, China
  • 3Research Center of Space Optical Engineering, Harbin Institute of Technology, Harbin150001, China
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    DOI: 10.3788/gzxb20204912.1229001 Cite this Article
    Yin ZHANG, Jun MA, Jun-hua YAN, Hao YAN, Xi-yang ZHI, Jin-nan GONG. Approximate Model of Three-dimensional Clouds Multiple Scattering Based on Finitely Adjacent-cloud Radiative Transfer[J]. Acta Photonica Sinica, 2020, 49(12): 180 Copy Citation Text show less
    Contrastive diagrams of the traditional one-dimensional radiation model and the radiation model based on horizontally adjacent cells
    Fig. 1. Contrastive diagrams of the traditional one-dimensional radiation model and the radiation model based on horizontally adjacent cells
    Schematic diagram of finitely adjacent-cloud in a vertical section of a three-dimensional space which contained clouds
    Fig. 2. Schematic diagram of finitely adjacent-cloud in a vertical section of a three-dimensional space which contained clouds
    Schematic diagram of position and direction for the horizontal flux density
    Fig. 3. Schematic diagram of position and direction for the horizontal flux density
    Schematic diagram of optical thicknesses for the vertically and horizontally adjacent cells
    Fig. 4. Schematic diagram of optical thicknesses for the vertically and horizontally adjacent cells
    Spatial distribution of extinction coefficient for three-dimensional cumulus field
    Fig. 5. Spatial distribution of extinction coefficient for three-dimensional cumulus field
    Spectral radiance image under observing condition U-2 at solar zenith angle 30°
    Fig. 6. Spectral radiance image under observing condition U-2 at solar zenith angle 30°
    Spectral radiance image under observing condition D-2 at solar zenith angle 30°
    Fig. 7. Spectral radiance image under observing condition D-2 at solar zenith angle 30°
    Mean relative errors of intensity for IPA, EMSS and the proposed model under different solar zenith angles and observing conditions
    Fig. 8. Mean relative errors of intensity for IPA, EMSS and the proposed model under different solar zenith angles and observing conditions
    ParameterNumerical value
    Grid size100×100×36
    Grid resolution/m66.7×66.7×40.0
    Horizontal domain size/km26.7×6.7
    Vertical domain range/km1.02~2.42
    Average extinction coefficient/km-173.9
    Cloud coverage/%5.7
    Table 1. Main parameters for three-dimensional cumulus field
    Solar zenith angle/(°)Source functionMean relative error
    IPA/%EMSS/%

    The proposed model

    /%

    Improvement with EMSS/%
    0USF58.7653.3828.2725.11
    DSF34.0332.7517.3615.39
    15USF93.9787.9940.6047.39
    DSF67.5063.3530.4632.89
    30USF120.85111.6067.5644.04
    DSF100.2790.9757.0433.93
    45USF136.52121.5493.2728.27
    DSF126.34109.9883.4726.51
    60USF120.05103.4195.218.20
    DSF120.5499.7789.1210.65
    Table 2. Mean relative errors of USF and DSF for IPA, EMSS and the proposed model under different solar zenith angles
    Solar zenith angle/(°)Computational time
    IPA/sEMSS/sThe proposed model/sSHDOM/s
    05.98.78.6147.4
    156.38.99.0155.1
    306.49.29.1155.0
    456.69.29.5160.0
    606.79.59.4108.9
    Mean6.49.19.1145.3
    Table 3. Computational times of source function for IPA, EMSS, the proposed model and SHDOM under different solar zenith angles
    ConditionField of view/°Zenith/°Azimuth/°X coordinate /kmY coordinate /kmAltitude/km
    U-11.44101803.3753.375402.420
    U-240-253.740308.838
    D-115.3631803.3750.050
    D-21402.7520.277
    Table 4. Observing conditions of the detector
    Yin ZHANG, Jun MA, Jun-hua YAN, Hao YAN, Xi-yang ZHI, Jin-nan GONG. Approximate Model of Three-dimensional Clouds Multiple Scattering Based on Finitely Adjacent-cloud Radiative Transfer[J]. Acta Photonica Sinica, 2020, 49(12): 180
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