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arXiv 1901.08366physics.comp-phastro-ph.IM
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注:对Voigt函数的某些封闭形式表达式的评估III:洛伦兹函数和高斯函数的组合

Notes: An assessment of some closed-form expressions for the Voigt function III: Combinations of the Lorentz and Gauss functions

Franz Schreier

摘要:

已经提出了各种“伪Voigt”函数,即洛伦兹函数和高斯函数的线性组合(偶尔增加校正项),作为洛伦兹函数和高斯函数的卷积的封闭形式近似,称为Voigt函数。首先,一个紧凑的审查几个近似使用一致的符号。与准确参考值的比较表明相对误差高达百分之几。

英文摘要:

A variety of "pseudo-Voigt" functions, i.e. a linear combination of the Lorentz and Gauss function (occasionally augmented with a correction term), have been proposed as a closed-form approximation for the convolution of the Lorentz and Gauss function known as the Voigt function. First, a compact review of several approximations using a consistent notation is presented. The comparison with accurate reference values indicates relative errors as large as some percent.

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