| 基于Zernicke多项式展开的逆阿贝尔变换 |
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| 引用本文： | 江少恩,刘忠礼,唐道源,郑志坚.基于Zernicke多项式展开的逆阿贝尔变换[J].核电子学与探测技术,1999,19(1):15-19. |
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| 作者姓名： | 江少恩 刘忠礼 唐道源 郑志坚 |
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| 作者单位： | 中国工程物理研究院核物理与化学研究所,成都525信箱,610003 |
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| 摘 要： | 激光等离子体实验中的轴对称的Ｘ光体发射强度及光学全息干涉的测量，需要采用逆Ａｂｅｌ变换。本文采用Ｚｅｒｎｉｃｋｅ多项式展开算法数值求解逆Ａｂｅｌ变换，展开系数由最小二乘方原理求出。由于Ｚｅｒｎｉｃｋｅ多项式的积分为解析函数，因此这种算法比较简便。
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| 关 键 词： | Abel(阿贝尔)变换 Zernicke多项式 最小二乘方 |
| 修稿时间： | :1997－10－05 |
Inverted Abel Transform Based on Zernicke Polynomials Expansion |
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| Jiang Shaoen,Liu Zhongli,Tang Daoyuan,Zheng Zhijian.Inverted Abel Transform Based on Zernicke Polynomials Expansion[J].Nuclear Electronics & Detection Technology,1999,19(1):15-19. |
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| Authors: | Jiang Shaoen Liu Zhongli Tang Daoyuan Zheng Zhijian |
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| Abstract: | The
inverted Abel transform is necessarily used to compute the X-ray emission r adial
distribution and optical holographic interfermetric data. Using the Zernic ke polynomial
exapnsion method, the inverted Abel transform is numerically calcu lated. The expansion
coefficients are solved by least squres method. Because the line integrals of Zernicke
polynomials is analysed functions, this method is ve ry simple. |
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| Keywords: | Abel transform Zernicke polynomials Least squre method |
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