کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5426942 1508613 2017 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An assessment of some closed-form expressions for the Voigt function II: Utilizing rational approximations for the Gauss function
موضوعات مرتبط
مهندسی و علوم پایه شیمی طیف سنجی
پیش نمایش صفحه اول مقاله
An assessment of some closed-form expressions for the Voigt function II: Utilizing rational approximations for the Gauss function
چکیده انگلیسی


- Closed-form analytical approximations of Voigt function in terms of rational functions, inverse tangents and logarithms.
- Reasonable for large y, but substantial accuracy problems for small y.
- Moderate computational efficiency.

Rational approximations for the Gauss function can be used to construct closed-form 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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Quantitative Spectroscopy and Radiative Transfer - Volume 202, November 2017, Pages 81-89
نویسندگان
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