Voigt Function


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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 Breit-Wigner, 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(-z2)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.

H(a,v) profiles

H(a,v) for smaller a.

H(a,v) for larger a

Derivative with respect to "a" profiles, dH/da

dH/da for smaller a

dH/da for larger a

Derivative with respect to "v" profiles, dH/dv

dH/dv for smaller a

dH/dv for larger a


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 co-authorship as appropriate.