High-accuracy approximation of the complex probability function by Fourier expansion of exponential multiplier

被引：10

作者：

Abrarov, S. M. ^{[1
]}

Quine, B. M. ^{[1
,2
]}

Jagpal, R. K. ^{[2
]}

机构：

[1] York Univ, Dept Earth & Space Sci & Engn, Toronto, ON M3J 1F3, Canada

[2] York Univ, Dept Phys & Astron, Toronto, ON M3J 1F3, Canada

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 05期

关键词：

Complex probability function; Voigt function; Faddeeva function; Complex error function; Plasma dispersion function; Fourier expansion series; Spectral line broadening; VOIGT PROFILE FUNCTION; HUMLICEK ALGORITHM; ERROR FUNCTION; COMPUTATION; IMPLEMENTATION;

D O I：

10.1016/j.cpc.2009.12.024

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The real K(x, y) and imaginary L(x, y) parts of the complex probability function are approximated as rapidly convergent series, based on the Fourier expansion of the exponential multiplier. This approach provides rapid and accurate calculations of the Voigt and complex error functions in the most challenging Humlicek regions 3 and 4. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：876 / 882

页数：7

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