The evaluation and characterization of voigt lineshape

Parthasarathi, Viraraghavan; Ganapathy, S.; McDowell, C. A.

doi:10.1016/0022-2860(80)80112-8

Cited by 2 publications

(2 citation statements)

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“…Finn and Mugglestone [20] used Simpson quadrature to compile a table of Voigt function values (for y ≥ 0.01), exploiting a modified integrand for small x values. Parthasarathi et al [24] considered the infinite integral (1) difficult for numerical integration and used Newton-Cotes quadrature of the finite integral resulting from the transformation t = u/(1 − u). Afonin et al [25] concluded that a Fast Fourier transform approach is more efficient than an adaptive quadrature procedure.…”

Section: Discussionmentioning

confidence: 99%

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An assessment of some closed-form expressions for the Voigt function II: Utilizing rational approximations for the Gauss function

Schreier

2017

Journal of Quantitative Spectroscopy and Radiative Transfer

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Rational approximations for the Gauss function can be used to construct closedform expressions of the Voigt function K(x, y) in terms of rational functions, logarithms and inverse trigonometric functions. The comparison with accurate reference values indicates a relative accuracy in the percent range for y 1, but serious problems for smaller y. Furthermore, these expressions are not competitive with other algorithms with respect to computational speed. Both accuracy and speed tests indicate that supposedly "good" approximations of the integrand do not necessarily provide good approximations of the integral, i.e. Voigt function.

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Section: Discussionmentioning

confidence: 99%

“…6,19].) Numerical quadrature of the convolution integral can also be used [1,[20][21][22][23][24][25][26][27][28][29], but algorithms based on Gauss-Hermite quadrature [1,21,28,29] are confined to large arguments only and are therefore not considered as closed-form.…”

Section: Introductionmentioning

confidence: 99%