| 辐射迁移方程--一个K-辛空间上的正则方程 |
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| 引用本文： | 祁月盈,丁培柱.辐射迁移方程--一个K-辛空间上的正则方程[J].嘉兴学院学报,2005,17(6):41-43. |
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| 作者姓名： | 祁月盈 丁培柱 |
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| 作者单位： | 1. 嘉兴学院机电工程学院,浙江,嘉兴,314001
2. 吉林大学原子与分子物理研究所,吉林,长春,130012 |
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| 基金项目： | 本文为国家自然科学基金（10171039,10074019）和国家重大基础研究专项经费（G1999032804）资助课题部分研究成果 |
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| 摘 要： | 说明了均匀、轴对称、无源介质是一个K-辛空间上的Hamilton系统，Hamilton函数是系统的守恒量；数值计算辐射强度角分布的合理途径是将辐射迁移方程离散成以离散Hamilton函数为守恒量的有限维K-辛空间上的正则方程，并采用保离散Hamilton函数守恒的K-辛算法数值求解．
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| 关 键 词： | 辐射迁移方程 K-辛空间 正则方程 |
| 文章编号： | 1008-6781（2005）06-0041-03 |
| 收稿时间： | 2005-01-28 |
| 修稿时间： | 2005年1月28日 |
Radiative Transfer Equation--A Canonical Equation in K-Symplectic Space |
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| QI Yue-ying,DING Pei-zhu.Radiative Transfer Equation--A Canonical Equation in K-Symplectic Space[J].Journal of Jiaxing College,2005,17(6):41-43. |
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| Authors: | QI Yue-ying DING Pei-zhu |
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| Institution: | 1. School of Mechanism and Electrics, Jiaxing University, Jiaxing Zhejiang 314001; 2. Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012 |
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| Abstract: | This paper shows that the homogeneous, axis-symmetric and no-source medium are a Hamiltonian system on K -symplectic space, whose Hamiltonian function is a conservation quantity; the reasonable approach of the numerical computation for the angular distribution of radiative intensity is that the radiative transfer equation is discretized into canonical e-quation on finite dimensional K -symplectic space and that this K -symplectic canonical equation is numerically solved by using the K -symplectic schemes which keep the discrete Hamiltonian's conservation. |
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| Keywords: | radiative transfer equation K- symplectic space K-symplectic canonical equation |
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