期刊文献+

三种逆阿贝尔变换方法比较

COMPARISION OF THREE METHODS FOR ABEL INVERSION
原文传递
导出
摘要 本文基于z-箍缩条件下的两种等离子体密度分布形式:高斯分布和双峰分布,详细比较了逆阿贝尔变换的三种方法,发现傅里叶汉克尔变换方法对噪声不敏感,对两种等离子体分布形式均有同等好的表现,并好于数据经过降噪处理后的其它两种变换方法,同时该方法程序实现更为简单. Comparision of three methods for abel inversion based on two profiles of z-pinch plasma: the Ganssian profile and the double-peak profile.Results show that Fourier-Hankel method is insensitive to noise and same effective for two profiles of plasma. In addition,Fourier- Hankel method is found to outperform two other methods,and the method programmed is simpler than others.
出处 《数值计算与计算机应用》 CSCD 2007年第3期221-229,共9页 Journal on Numerical Methods and Computer Applications
关键词 z-箍缩 逆阿贝尔变换 傅里叶汉克尔变换 z-pinch,abel inversion,Fourier-Hankel transform
  • 相关文献

参考文献13

  • 1Ramsey A T, Diesso M. Abel inversions: error propagation and inversion reliability[J]. Rev. Sci. Instrum., 1999, 70(1): 380-383.
  • 2阮怀林,万宝年,张先梅,刘建坤.用勒让德级数处理Abel变换[J].物理学报,2001,50(12):2393-2397. 被引量:2
  • 3郑坚 俞昌旋 等.全息干涉诊断等离子体电子密度的数值研究[J].强激光与粒子束,1997,9(2):173-177.
  • 4Freeman M, Katz S. Determination of radiance-coefficient profile from the observed asymmetric radiance distribution of an optically thin radiating medium[J]. J. Opt. Soc. Am., 1963, 53(10): 1172-1179.
  • 5Minerbo G, Levy M E. Inversion of abel's integral equation by means of orthogonal polynomials[J]. SIAM J. Numer. Anal., 1969, 6(4): 598-616.
  • 6Piessens R. Calculation of the radial distribution of emitters in cylindrical source[J]. Compute. Phys. Commun., 1973, 5: 294-298.
  • 7Nestor O H, Olsen H N. Numerical method for reducing line and surface probe data[J]. SIAM Review, 1960, 2(3): 200-207.
  • 8Cremers C J, Birkebak R C. Application of the abel integral equation to spectrographic data[J]. Appl. Optics., 1966, 5(6): 1057-1064.
  • 9Alvarez R, Rodero A, Quintero M C. An abel inversion method for radially resolved measurements in the axial injection torch[J]. ACTA Spectrochmica B., 2002, 57: 1665-1680.
  • 10Bockasten K. Tranformation of observed radiances into radial distribution of the emission of a plasma[J]. J. Opt. Soc. Am., 1961, 51(9): 943-947.

二级参考文献2

共引文献4

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部