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 ${\alpha }_n{\left|t\right|}^n{e}^{-{\beta }_n|t|}$, 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.

6 pages