基于快速傅里叶变换和汉克耳变换的逆阿贝尔变换

Inverted Abel Transform Based on FFT and Hankel Transform

激光等离子体实验中的轴对称的Ｘ光的体发射强度及光学全息干涉的测量，需要采用逆阿贝尔（Ａｂｅｌ）变换。用快速傅里叶变换（ＦＦＴ）和汉克耳（Ｈａｎｋｅｌ）变换的算法数值求解逆阿贝尔变换，具有精度高。

The inverted Abel transform is necessary for computing the X ray emission radial distribution and opical holographic interferometric data. A new algorithm to calculate the inverse Abel transform is introduced, which performs fast Fourier transform (FFT) first and then Hankel transform. This algorithm offer higher accuracy and it can be filtered in frequence space.