非对称Abel逆变换研究及其在等离子体辐射功率分析中的应用

ASYMMETRICAL ABEL INVERSION STUDY AND APPLICATION TO PLASMA RADIATION POWER ANALYSIS

一、引言 在实验等离子体物理中,常遇到测量量是待求物理量沿等离子体截面弦的线积分值,为待求量,L为弦长。从测量到的I(x)值,求出i r值的Abel逆变换,在等离子体诊断的数据处理中得到了广泛应用。 在假定等离子体截面为中心对称的前提条件下。

In this paper we present an approximate algorithm for symmetrical function Abel inversion,an algorithm of isopleth concentric circle. It has been compared with the Barr algorithm and the even power series algorithm. By using separation of variables, it is expanded into asymmetrical region. This algorithm has been applied to the power measurement of radiation,and variation with time-space is obtained.