Master-slave algorithm for highly accurate and rapid computation of the Voigt/complex error function

We obtain a rational approximation of the Voigt/complex error function by Fourier expansion of the exponential function e−(t−2σ) 2 and present master-slave algorithm for its efficient computation. The error analysis shows that at y> 10−5 the computed values match with highly accurate references up to the last decimal digits. The common problem that occurs at y → 0 is effectively resolved by main and supplementary approximations running compu-tation flow in a master-slave mode. Since the proposed approximation is rational function, it can be implemente