| 一种半解析的Abel转换方法 |
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| 引用本文： | 陆宏玖,陈国雄,徐学基.一种半解析的Abel转换方法[J].复旦学报(自然科学版),1986(4). |
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| 作者姓名： | 陆宏玖 陈国雄 徐学基 |
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| 作者单位： | 复旦大学电光源研究所，复旦大学电光源研究所，复旦大学电光源研究所 八三级硕士研究生 |
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| 摘 要： | 本文提出了一个改进的半解析Abel转换的方法,用分段多项式拟合实验数据,以最小二乘法确定多项式系数,得到了转换结果的解析表达式。在输入数据精度不高的情况下,就转换精度而言,本方法优于数值积分方法和CB(Cremersand Birkebak)方法。
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| 关 键 词： | 测量 等离子体诊断 Abel积分方程 |
A SEMI-ANALYTICAL METHOD FOR ABEL INVERSION |
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| Lu Hongjiu,Chen Guoxiong,Xu Xueji.A SEMI-ANALYTICAL METHOD FOR ABEL INVERSION[J].Journal of Fudan University(Natural Science),1986(4). |
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| Authors: | Lu Hongjiu Chen Guoxiong Xu Xueji |
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| Institution: | Institute of Electric Light Sources |
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| Abstract: | In this paper, an improved semi-analytical method for Abel Inversion is proposed. A piece-wise polynomial is used to fit the experimental data, and the related coefficients are determined with the least-squares method. As a result, an analytical expression of the inverted result is obtained. In the case where the precision of the input data is not very high, the inversion precision of this method is higher than those of the Numerical Integration and the OB (Cremers and Birkebak) Method. |
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| Keywords: | measurements plasma diagnostics Abel integral equation |
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