

Home Astronomy research Software instruments Stellar equation of states EOS with ionization EOS for supernovae Chemical potentials Stellar atmospheres Voigt Function Jeans escape Polytropic stars Cold white dwarfs Hotter white dwarfs Cold neutron stars Stellar opacities Neutrino energy loss rates Ephemeris routines FermiDirac functions Galactic chemical evolution Coating an ellipsoid Universal twobody problem Nuclear reaction networks Nuclear statistical equilibrium Laminar deflagrations CJ detonations ZND detonations Fitting to conic sections Unusual linear algebra Derivatives on uneven grids Pentadiagonal solver Quadratics, Cubics, Quartics Supernova light curves Exact Riemann solutions 1D PPM hydrodynamics Verification problems Plane  cube Intersection Phyllotaxis The pendulum Circular and elliptical 3 body MESA MESAWeb FLASH Zingale's software Brown's dStar GR1D code Iliadis' STARLIB database Herwig's NuGRID Meyer's NetNuc Presentations Illustrations Videos Bicycle adventures AAS Journals 2017 MESA Marketplace 2017 MESA Summer School 2017 ASU+EdX AST111x Teaching materials Education and Public Outreach Contact: F.X.Timmes my one page vitae, full vitae, research statement, and teaching statement. 
The Voigt profile is a spectral line profile named after Woldemar Voigt in which a spectral line is broadened by two mechanisms, one being a Gaussian profile (e.g., Doppler broadening), and another being a Lorentzian, a BreitWigner, a Cauchy profile (e.g., collision broadening). The driver and subroutines in test_voigt02.f compute the Voigt function H(a,v) given by M.R. Zaghloul in MNRAS, 375, 1043, 2007 , where "a" is the ratio of the natural width to the Doppler width and "v", distance from line center in units of the Doppler width. I've made a modest contribution by adding the derivatives dH/da and dH/dv, and showing how the damped sinusoid integrals may be accurately calculated. The Voigt function is also the real part of w(z)=exp(z^{2})erfc(iz), the Faddeeva function, the complex probability function, the plasma dispersion function. One may want to compare the answers produced by code offered above to those produced by the TOMS 680.
Derivative with respect to "a" profiles, dH/da
Derivative with respect to "v" profiles, dH/dv



Please cite the relevant references if you publish a piece of work that use these codes, pieces of these codes, or modified versions of them. Offer coauthorship as appropriate. 
