Total band absorptance and k-distribution function for atmospheric gases

Computer Science

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Absorptance, Atmospheric Attenuation, Atmospheric Composition, Atmospheric Models, Spectral Bands, Absorption Spectra, Broadband, Carbon Dioxide, Molecular Rotation, Narrowband, Water

Scientific paper

Analytical expressions for the total band absorptance and absorption-coefficient distribution function for radiatively-important, atmospheric gases are derived from the Malkmus narrow-band model and the wide-band approximation of Edwards and Menard (1964). For individual absorption bands, the expressions are functions of the bandwidth, the mean line-half-width to spacing ratio, and two parameters describing the spectral variation of the mean line intensity. Procedures to calculate these absorption band parameters directly from the AFGL absorption line data are presented. The accuracy of the formulation is demonstrated by good agreement in the 15-micron CO2 band, the H2O rotational band and the 9.6-micron O3 band for the absorptances calculated from analytical expressions, line-by-line calculations, and available measurements. This formulation thus provides a useful approach to calculate the coupled radiative processes of absorption and multiple scattering due to atmospheric gases and particles.

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