Mathematics – Functional Analysis
Scientific paper
Jul 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jqsrt..16..611d&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 16, July 1976, p. 611-614. NOAA-NASA-supported research.
Mathematics
Functional Analysis
65
Computer Programs, Functional Analysis, Numerical Integration, Transmittance, Voigt Effect, Atmospheric Attenuation, Atmospheric Refraction, Chebyshev Approximation, Entire Functions, Fortran, Subroutines
Scientific paper
Computational procedures for evaluating the Voigt profile function with maximum relative error about one part in ten thousand are discussed. The computational region is split up into four subregions, each of which is worked on with a different computational technique (Chebyshev expansion, continued fraction expansion, 2-point Gauss-Hermite quadrature, and 4-point Gauss-Hermite quadrature). The overall procedure is designed for line-by-line transmittance calculations and similar applications, and an efficient FORTRAN IV subprogram is outlined in an appendix.
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