| 用偶幂级数处理Abel变换问题 |
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| 引用本文： | 张连根,郭其良,童兴德,高翔. 用偶幂级数处理Abel变换问题[J]. 核聚变与等离子体物理, 1989, 0(2) |
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| 作者姓名： | 张连根 郭其良 童兴德 高翔 |
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| 作者单位： | 中国科学院等离子体物理研究所，中国科学院等离子体物理研究所，中国科学院等离子体物理研究所，中国科学院等离子体物理研究所 安徽 合肥，安徽 合肥，安徽 合肥，安徽 合肥 |
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| 摘 要： | 本文提出了用偶幂级数代替对称分布函数,使其线积分成为递推可积,从而简化了Abel逆变换。引进权函数使本方法简单地过渡到非对称问题。对一组假想相移信号进行变换,获得了可靠的密度分布结果,并对影响变换精度的各种因素作了讨论。
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| 关 键 词： | Abcl变换 最小二乘法拟合 权函数 标准误差 |
USING EVEN POWER SERIES TO TREAT ABEL INVERSION |
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| ZHANG Liangen GUO Qilian TONG Xingde GAO Xiang. USING EVEN POWER SERIES TO TREAT ABEL INVERSION[J]. Nuclear Fusion and Plasma Physics, 1989, 0(2) |
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| Authors: | ZHANG Liangen GUO Qilian TONG Xingde GAO Xiang |
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| Abstract: | A new method is presented in which a even power series replaces the symmetrical function so that the Abel inversion can be done easily. A weight function is introduced to expand this method into asymmetrical region. A very believable local density distribution is obtained when this method is applied to an artificial phaseshift function. Some factors influencing the inversion accuracy are discussed. |
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| Keywords: | Abel inversion Least square fits Standard error. |
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