Open AccessOn the calculation of the Voigt line profile: a single proper integral with a damped sine integrand
Author(s) -
Zaghloul Mofreh R.
Publication year - 2007
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1111/j.1365-2966.2006.11377.x
Subject(s) - sine , physics , voigt profile , line (geometry) , function (biology) , simplicity , mathematics , mathematical analysis , line integral , integral equation , spectral line , geometry , quantum mechanics , evolutionary biology , biology
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.