Rapid approximation to the Voigt/Faddeeva function and its derivatives

被引：170

作者：

Wells, RJ ^{[1
]}

机构：

[1] Clarendon Lab, Oxford OX1 3PU, England

来源：

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER | 1999年 / 62卷 / 01期

关键词：

D O I：

10.1016/S0022-4073(97)00231-8

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Existing algorithms for the calculation of the Voigt/Faddeeva function are adapted to produce a method which is more efficient for atmospheric line-by-line calculations. The approach allows greater computational speed to be obtained if the maximum relative error criteria can be relaxed. A supplementary algorithm to calculate the partial derivatives of the Voigt function simultaneously with the Faddeeva function is also specified. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

收藏

页码：29 / 48

页数：20

相关论文

共 17 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS

[2] SPECTRUM LINE PROFILES - VOIGT FUNCTION [J].

ARMSTRONG, BH .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1967, 7 (01) :61-+

[3] SPECTRAL-LINE SHAPE CONSIDERATIONS FOR LIMB TEMPERATURE SOUNDERS [J].

EDWARDS, DP ;

STROW, LL .

JOURNAL OF GEOPHYSICAL RESEARCH-ATMOSPHERES, 1991, 96 (D11) :20859-20868

[4]

EDWARDS DP, 1992, NCARTN367 STR

[5]

HEINZEL P, 1978, B ASTRON I CZECH, V29, P159

[6] RAPID COMPUTATION OF VOIGT AND COMPLEX ERROR FUNCTIONS [J].

HUI, AK ;

ARMSTRONG, BH ;

WRAY, AA .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1978, 19 (05) :509-516

[7] OPTIMIZED COMPUTATION OF THE VOIGT AND COMPLEX PROBABILITY FUNCTIONS [J].

HUMLICEK, J .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1982, 27 (04) :437-444

[8] EFFICIENT METHOD FOR EVALUATION OF THE COMPLEX PROBABILITY FUNCTION - VOIGT FUNCTION AND ITS DERIVATIVES [J].

HUMLICEK, J .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1979, 21 (04) :309-313

[9] THE NUMERICAL COMPUTATION OF THE VOIGT FUNCTION BY A CORRECTED MIDPOINT QUADRATURE RULE FOR (INFINITY, INFINITY) [J].

LETHER, FG ;

WENSTON, PR .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1991, 34 (01) :75-92

[10] IMPLEMENTATION OF AN EFFICIENT ANALYTICAL APPROXIMATION TO THE VOIGT FUNCTION FOR PHOTOEMISSION LINESHAPE ANALYSIS [J].

MCLEAN, AB ;

MITCHELL, CEJ ;

SWANSTON, DM .

JOURNAL OF ELECTRON SPECTROSCOPY AND RELATED PHENOMENA, 1994, 69 (02) :125-132