A Two-Domain MATLAB Implementation for Efficient Computation of the Voigt/Complex Error Function

Abstract

In this work we develop a new algorithm for the efficient computation of the Voigt/complex error function. In particular, in this approach we propose a two-domain scheme where the number of the interpolation grid-points is dependent on the input parameter y. The error analysis we performed shows that the MATLAB implementation meets the requirements for radiative transfer applications involving the HITRAN molecular spectroscopic database. The run-time test shows that this MATLAB implementation provides rapid computation, especially at smaller ranges of the parameter x.

Keywords

• complex error function
• Faddeeva function
• Voigt function
• interpolation