Efficient and accurate method for radiation transfer problems |
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| Institution: | 1. School of Atmospheric Sciences and Guangdong Province Key Laboratory for Climate Change and Natural Disaster Studies, Sun Yat-Sen University and Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai 519082, China;2. Key Laboratory of Middle Atmosphere and Global Environment Observation, Institute of Atmospheric Physics (LAGEO/IAP), Chinese Academy of Sciences, Beijing 100029, China;3. Department of Physics, University of Maryland at Baltimore County (UMBC), Baltimore, MD 21250, United States;4. Key Laboratory of Radiometric Calibration and Validation for Environmental Satellites (LRCVES/CMA), National Satellite Meteorological Center, China Meteorological Administration (NSMC/CMA), Beijing 100081, China;5. State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing (LIESMARS), Wuhan University, Wuhan 430072, China;6. Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin 130033, China;1. CORIA-UMR 6614- Normandie Université;2. CNRS-Université et INSA de Rouen;3. Campus Universitaire du Madrillet 76800, Saint-Etienne-du Rouvray, France |
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| Abstract: | An efficient method of analysis, which utilizes trial functions based on Case's eigenvalues, is developed for solving radiation transfer in an absorbing and scattering homogeneous semi-infinite plane-parallel medium subjected to externally incident radiation. Expressions for the forward and backward intensities, reflectivity and total radiation intensity are included. Numerical results are given and compared involving different forms of the externally incident radiation on the boundary surface. It is shown that the solution converges rapidly to the exact results and that lower-order solutions predict values of the physical parameters that are accurate to five figures in all values of the single-scattering albedos in the range 0.1 ≤ ω ≤ 1. The method has been also used to get approximate formulae for calculating Chandrasekhar's characteristic H-functions and their moments. |
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