A rational approximation for the Dawson's integral of real argument
This provides an efficient computational tool for scientists needing high-precision Voigt function calculations in a specific parameter range.
The paper presents a rational approximation for Dawson's integral, enabling accurate and rapid computation of the Voigt function for small y, achieving accuracy exceeding 10^{-10} in the domain 0 ≤ x ≤ 15 and 0 ≤ y ≤ 10^{-6} without deceleration.
We present a rational approximation for the Dawson's integral of real argument and show how it can be implemented for accurate and rapid computation of the Voigt function at small $y < < 1$. The algorithm based on this approach enables computation with accuracy exceeding ${10^{ - 10}}$ within the domain $0 \le x \le 15$ and $0 \le y \le {10^{ - 6}}$. Due to rapid performance the proposed rational approximation runs the algorithm without deceleration.