Comment on “A new procedure for obtaining the Voigt function dependent upon the complex error function”

The numerical solution of Eq. (1) relating the Voigt, Lorentzian, and Gaussian full-widths at half-maximum, as shown in Fig. 2 of the article A new procedure for obtaining the Voigt function dependent upon the complex error function by Luque, Calzada and Saez (JQSRT 2005; 94:151-161), is not valid in some parts of the computational domain. The problem resides within a physical domain that is of current spectroscopic interest for the diagnostics of low temperature (∼300 K), high pressure (∼1 atm) dielectric barrier discharge plasmas. The purpose here is to identify the deficiency and to demonstrate a well-conditioned numerical approach for this domain of interest.