Main > Acta Optica Sinica >  Volume 40 >  Issue 24 >  Page 2401003 > Article
  • Abstract
  • Abstract
  • View Summary
  • Figures (6)
  • Tables (6)
  • Equations (0)
  • References (23)
  • Get PDF(in Chinese)
  • Paper Information
  • Received: May. 27, 2020

    Accepted: Sep. 28, 2020

    Posted: Dec. 1, 2020

    Published Online: Nov. 24, 2020

    The Author Email: Yan Junhua (

    DOI: 10.3788/AOS202040.2401003

  • Get Citation
  • Copy Citation Text

    Yin Zhang, Hao Yan, Jun Ma, Junhua Yan, Xiyang Zhi, Jinnan Gong. Multiple-Scattering Approximation Model Among Horizontally Adjacent Fields for Three-Dimensional Radiative Transfer in Cloud Remote Sensing[J]. Acta Optica Sinica, 2020, 40(24): 2401003

    Download Citation

  • Category
  • Atmospheric Optics and Oceanic Optics
  • Share
Acta Optica Sinica, Vol. 40, Issue 24, 2401003 (2020)

Multiple-Scattering Approximation Model Among Horizontally Adjacent Fields for Three-Dimensional Radiative Transfer in Cloud Remote Sensing

Zhang Yin1, Yan Hao1, Ma Jun1, Yan Junhua1,*, Zhi Xiyang2, and Gong Jinnan2

Author Affiliations

  • 1Key Laboratory of Space Photoelectric Detection and Perception, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China
  • 2Research Center for Space Optical Engineering, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China


An approximation model of multiple-scattering among horizontally adjacent fields is proposed as a means of improving the three-dimensional (3D) radiative transfer calculation for clouds in remote-sensing applications. Horizontal radiative-exchange equations are established after analyzing the mechanism of radiation flux density variation among horizontally adjacent cloud units. By introducing the solar-compensation function, the influence of the solar incidence angle upon radiative transfer is corrected. The experiment is conducted using I3RC Phase Ⅱ cumulus (Cu), stratocumulus (Sc) and altocumulus (Ac) data generated by the multi-scale superposition fractal algorithm based on actual observation and correction. The experimental results show that compared with the independent pixel approximation (IPA) and combined strict single-scattering and Eddington multiple-scattering (SSEddMS) models, the mean relative error of the upwelling source function (USF) calculated using the proposed model is better than 13% when the solar zenith angle is in the range of 0°-60°. The accuracy of the proposed model is improved by even more than 15% under low solar zenith angles. The accuracy of the pixel-level-radiance calculation of the proposed model falls within 5% under different observational conditions. Furthermore, it can be applied to 3D clouds with different optical thicknesses and horizontal non-uniformities. This has obvious advantages for stability, applicability, and accuracy.


Please Enter Your Email: