A NEW METHOD FOR NUMERICAL ABEL-INVERSION

被引：139

作者：

PRETZLER, G

机构：

[1] Institut für Expetydrimental physik, Technische Universität Graz, Austria

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 1991年 / 46卷 / 07期

关键词：

D O I：

10.1515/zna-1991-0715

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A new numerical solution of Abel-type integral equations is presented which is based on the principle of Fourier-analysis. The unknown radial distribution is expanded in a series of cosine-functions, the amplitudes of which are calculated by least-squares-fitting of the Abel-transformed series to the measured data. Advantages and applications of the new method are discussed, followed by a short comparison with methods, commonly used for Abel-inversion.

引用

页码：639 / 641

页数：3

共 6 条

[1]

Abel, 1823, EUVRES COMPLETES, V1, P11

[2] NUMERICAL-SOLUTION OF ABEL INTEGRAL-EQUATION - APPLICATION TO PLASMA SPECTROSCOPY [J].