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等离子体有关参数的径向分布 ,在等离子体研究中十分有意义的。只要等离子体具有轴对称和光性薄的性质 ,那么利用 Abel逆变换便可以从所测量得到的某种物理量 ,沿测量方向的积分求出径向分布值。激光等离子体实验中的轴对称的 X光体发射强度分布及通过多通道方法可测量电子密度和温度分布 ,需要采用逆阿贝尔 ( Abel)变换。本文采用三次样条函数近似方法计算逆 Abel变换 ,并对两种有代表性的分布进行了计算 ,数值模拟结果表明 :此方法反演的精度高 ,计算也比较简便 ,程序实现很容易。
The radial distribution of plasma-related parameters is of great interest in plasma research. As long as the plasma is of axisymmetric and light-thin nature, the radial distribution can be obtained from an integral of the measured physical quantity along the measuring direction using the Abel inverse transform. Axisymmetric X-ray emission intensity distribution in laser plasma experiments and measurement of electron density and temperature distribution by multi-channel methods require inverse Abel transformation. In this paper, we use the cubic spline approximation method to calculate the inverse Abel transform, and calculate the two representative distributions. The numerical simulation results show that this method has the advantages of high precision, simple calculation and easy implementation.