A simple interpolating algorithm for the rapid and accurate calculation of the Voigt function

A simple interpolating algorithm for rapid calculation of the Voigt function with high accuracy is presented. It can utilize any existing rapid algorithm as a subprogram for the pre-computation of the selected points. Such approach is particularly efficient for massive input arrays and, compared to the Wells algorithm, accelerates the computation, improves the accuracy, and increases the input vector size by factors greater than 35, 7, and 10, respectively. The calculated results were compared with exponential and arctangent expansion approximations of the Voigt function. It is found that the relative error in the Wells algorithm slightly exceeds the supposed accuracy of 10−5.