A simple pseudo-Voigt/complex error function

Abstract

In this work we present a simple approximation for the Voigt/comp-lex error function based on fitting with set of the exponential functions of form ${\alpha _n}{\left| t \right|^n}{e^{ - {\beta _n}\left| t \right|}}$, where ${\alpha _n}$ and ${\beta _n}$ are the expansion coefficients. The computational test reveals that the largest absolute differences for the real and imaginary parts of the complex error function are $0.037$ and $0.036$, respectively.