Rapidly convergent series for high-accuracy calculation of the Voigt function |
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| Authors: | S.M. Abrarov B.M. Quine R.K. Jagpal |
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| Affiliation: | a Department of Earth and Space Science and Engineering, York University, 4700 Keele Street, Toronto M3J 1P3, Canada
b Department of Physics and Astronomy, York University, 4700 Keele Street, Toronto M3J 1P3, Canada |
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| Abstract: | A rapidly convergent series, based on Fourier expansion of the exponential multiplier, is presented for highly accurate approximation of the Voigt function (VF). The corresponding algorithm enables the rapid calculation, required for its implementation as a subprogram in an interpolation approach. The numerical analysis of this VF approximation suggests that it may be more accurate than 10−9 in the Humlí?ek regions 3 and 4. |
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| Keywords: | Voigt function Fourier series Complex probability function Complex error function Plasma dispersion function |
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