JIANG Shao-en, LIU Zhong-li, TANG Dao-yuan, ZHENG Zhi-jian . Inverted Abel transform based on cubic spline functions[J]. Editorial Office of Optics and Precision Engineering, 2000,(2): 181-184
JIANG Shao-en, LIU Zhong-li, TANG Dao-yuan, ZHENG Zhi-jian . Inverted Abel transform based on cubic spline functions[J]. Editorial Office of Optics and Precision Engineering, 2000,(2): 181-184DOI:
Inverted Abel transform based on cubic spline functions
The radial distributions of plasma parameters are very important in plasma physics. If the plasma distribution is axial symmetrical and optically thin
the radial distribution of some physical parameters are obtainded by using Abel inversion from measured integral value along radial direction. The inverted Abel transform is necessarily used to compute the X-ray emission radial distribution and measure the electronic temperature and density through multichannel method in laser produced plasma expeirments. Using the cubic spline function method
the inverted Abel transform is numerically calculated from two typical distribution that are gaussian and off-axial distribution. The simulated results show that this algorithm is high accurate
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