On the calculation of the Voigt line profile: a single proper integral with a damped sine integrand


  • Mofreh R. Zaghloul

    Corresponding author
    1. Department of Physics, College of Science, United Arab Emirates University, PO Box 17551, Al-Ain, United Arab Emirates
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Permanent address: Department of Physics and Engineering Mathematics, College of Engineering, Zagazig University, Zagazig, Egypt.

E-mail: m.zaghloul@uaeu.ac.ae


We provide a remedy for a recently published formulation of the Voigt function by reformulating the function into a single proper integral with a damped sine integrand. The present formulation clears up concerns highlighted about the original formulation. The reduction of the Voigt function to a single proper integral enables the use of algorithms available in the literature and included in many software packages to integrate the function and to evaluate the line profile with relative simplicity and superior accuracy. Evidence of the usefulness and superior accuracy of the new formulation is provided.