The Fourier expansion approximation for high-accuracy computation of the Voigt/complex error function at small imaginary argument
arXiv:1606.078711.22 citationsh-index: 19
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It provides a practical solution for researchers needing high-accuracy computation of the Voigt function in spectroscopy and related fields, though the improvement is incremental.
The paper presents a Fourier expansion approximation for computing the Voigt/complex error function accurately at small imaginary arguments (y << 1), resolving a known computational bottleneck.
It is known that the computation of the Voigt/complex error function is problematic for highly accurate and rapid computation at small imaginary argument $y << 1$, where $y = \operatorname{Im} \left[ z \right]$. In this paper we consider an approximation based on the Fourier expansion that can be used to resolve effectively such a problem when $y \to 0$.