Voigt line infrared atmospheric transmittance calculations by Fourier transform

Statistics – Computation

Scientific paper

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Atmospheric Attenuation, Infrared Windows, Line Spectra, Transmittance, Voigt Effect, Absorptivity, Atmospheric Radiation, Carbon Dioxide, Doppler Effect, Fast Fourier Transformations, Spectral Line Width

Scientific paper

The absorption coefficient space of an IR atmospheric path contains the linear superposition of many Voigt spectral lines. This paper discusses the practical application of Karp's method to the simulation of satellite transmittance and radiance observations by using fast Fourier transforms on the recursively generated Voigt transforms. Although the procedure is physically straightforward, it is nonetheless computationally demanding and suited primarily to narrow isolated Q-branch regions. Performing the calculation on a 2.4/cm wide 15-micron CO2 Q-branch region demonstrates that 4% of the total absorption takes place above 0.1 mb. This absorption is in the cold mesopause and results in a 1-2% radiation deficit with its inclusion in a satellite radiation calculation.

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