Numerical evaluation of the line broadening function H(a, v)

Details Numerical evaluation of the line broadening function H(a, v) Numerical evaluation of the line broadening function H(a, v)

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ap%26ss.147..229m&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 147, no. 2, Aug. 1988, p. 229-234. SECYT-supported research.

Astronomy and Astrophysics

Astrophysics

2

Line Spectra, Spectral Line Width, Spectrum Analysis, Voigt Effect, Doppler Effect, Hermitian Polynomial, Numerical Integration, Quadratures

Scientific paper

An efficient and accurate method for evaluating the line-broadening Voigt function H(a, v) is proposed which performs well using large as well as small computers. The method allows Gaussian quadrature formulas to be employed for most values of a and v, achieving a higher level of accuracy than Hermite's quadrature formula for improper integrals. The number of correct significant figures obtained for H(a, v) is determined as a function of a and v.

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