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用偶幂级数处理Abel变换问题
USING EVEN POWER SERIES TO TREAT ABEL INVERSION
【摘要】 本文提出了用偶幂级数代替对称分布函数,使其线积分成为递推可积,从而简化了Abel逆变换。引进权函数使本方法简单地过渡到非对称问题。对一组假想相移信号进行变换,获得了可靠的密度分布结果,并对影响变换精度的各种因素作了讨论。
【Abstract】 A new method is presented in which a even power series replaces the symmetrical function so that the Abel inversion can be done easily. A weight function is introduced to expand this method into asymmetrical region. A very believable local density distribution is obtained when this method is applied to an artificial phaseshift function. Some factors influencing the inversion accuracy are discussed.
- 【文献出处】 核聚变与等离子体物理 ,Nuclear Fusion and Plasma Physics , 编辑部邮箱 ,1989年02期
- 【被引频次】7
- 【下载频次】63