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Vector radiative transfer numerical model of coupled ocean-atmosphere system using matrix-operator method
作者姓名:HE XianQiang      PAN DeLu  BAI Yan    ZHU QianKun & GONG Fang State Key Laboratory of Satellite Ocean Environment Dynamics  Second Institute of Oceanography  State Oceanic Administration  Hangzhou  China  Shanghai Institute of Technical Physics  Chinese Academy of Sciences  Shanghai  China  Graduate University of Chinese Academy of Sciences  Beijing  China
作者单位:HE XianQiang1,2,3,PAN DeLu1,BAI Yan2,3,ZHU QianKun1 & GONG Fang1 1 State Key Laboratory of Satellite Ocean Environment Dynamics,Second Institute of Oceanography,State Oceanic Administration,Hangzhou 310012,China; 2 Shanghai Institute of Technical Physics,Chinese Academy of Sciences,Shanghai 200083,China; 3 Graduate University of Chinese Academy of Sciences,Beijing 100039,China
摘    要:A vector radiative transfer numerical model of the coupled ocean-atmosphere system is developed based on the matrix-operator method, which is named PCOART. Using the Fourier analysis, the vector radiative transfer equation (VRTE) is separated into a set of equations depending only on the observa-tion zenith angle. Using the Gaussian-Quadrature method, VRTE is finally transferred into the matrix equation solved by the adding-doubling method. According to the reflective and refractive properties of the ocean-atmosphere interface, the vector radiative transfer numerical model of the ocean and at-mosphere is coupled in PCOART. Compared with the exact Rayleigh scattering look-up tables of MODIS (Moderate-resolution Imaging Spectroradiometer), it is shown that PCOART is an exactly numerical model, and the processing methods of the multi-scattering and polarization are correct. Also, validated with the standard problems of the radiative transfer in water, it is shown that PCOART can be used to calculate the underwater radiative transfer problems. Therefore, PCOART is a useful tool for exactly calculating the vector radiative transfer of the coupled ocean-atmosphere system, which can be used to study the polarization properties of the radiance in the whole ocean-atmosphere system and the remote sensing of the atmosphere and ocean.

收稿时间:6 September 2005
修稿时间:27 February 2006

Vector radiative transfer numerical model of coupled ocean-atmosphere system using matrix-operator method
HE XianQiang,,,PAN DeLu,BAI Yan,,ZHU QianKun & GONG Fang State Key Laboratory of Satellite Ocean Environment Dynamics,Second Institute of Oceanography,State Oceanic Administration,Hangzhou ,China, Shanghai Institute of Technical Physics,Chinese Academy of Sciences,Shanghai ,China, Graduate University of Chinese Academy of Sciences,Beijing ,China.Vector radiative transfer numerical model of coupled ocean-atmosphere system using matrix-operator method[J].Science in China(Earth Sciences),2007,50(3):442-452.
Authors:He XianQiang  Pan DeLu  Bai Yan  Zhu QianKun  Gong Fang
Institution:1. State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China;Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China;Graduate University of Chinese Academy of Sciences, Beijing 100039, China
2. State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China
3. Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China;Graduate University of Chinese Academy of Sciences, Beijing 100039, China
Abstract:A vector radiative transfer numerical model of the coupled ocean-atmosphere system is developed based on the matrix-operator method, which is named PCOART. Using the Fourier analysis, the vector radiative transfer equation (VRTE) is separated into a set of equations depending only on the observa- tion zenith angle. Using the Gaussian-Quadrature method, VRTE is finally transferred into the matrix equation solved by the adding-doubling method. According to the reflective and refractive properties of the ocean-atmosphere interface, the vector radiative transfer numerical model of the ocean and at- mosphere is coupled in PCOART. Compared with the exact Rayleigh scattering look-up tables of MODIS (Moderate-resolution Imaging Spectroradiometer), it is shown that PCOART is an exactly numerical model, and the processing methods of the multi-scattering and polarization are correct. Also, validated with the standard problems of the radiative transfer in water, it is shown that PCOART can be used to calculate the underwater radiative transfer problems. Therefore, PCOART is a useful tool for exactly calculating the vector radiative transfer of the coupled ocean-atmosphere system, which can be used to study the polarization properties of the radiance in the whole ocean-atmosphere system and the remote sensing of the atmosphere and ocean.
Keywords:vector radiative transfer  numerical model  coupled ocean-atmosphere system  matrix-operator method  adding-doubling method  polarization remote sensing
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