Line-by-line computation of the atmospheric absorption spectrum using the decomposed Voigt line shape

Mathematics – Probability

Scientific paper

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Absorption Spectra, Absorptivity, Atmospheric Attenuation, Atmospheric Radiation, Line Shape, Voigt Effect, Earth Atmosphere, Probability Distribution Functions

Scientific paper

A new line-by-line method has been developed to calculate the spectral absorption coefficients of absorption lines with a Voigt line shape in the terrestrial atmosphere. In the method, the Voigt line shape is decomposed into several subfunctions, with even quadratic functions used as subfunctions. This functional form allows for easy estimation of the half-width of the subfunction. The final spectral absorption is obtained by the superposition of independent spectral absorption coefficients. The finer details of the absorption spectrum have then been examined to determine if they are zero or not at every grid point. This procedure eliminates the need for unnecessary calculations in interpolations of absorption coefficients from coarser to finer resolution and also saves storage capacity.

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