Approximation of the product error made in calculating atmospheric band transmittances

Details Approximation of the product error made in calculating atmospheric band transmittances Approximation of the product error made in calculating atmospheric band transmittances

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jqsrt..31..315g&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 31, April 1984, p. 315-322.

Physics

Optics

Atmospheric Optics, Error Analysis, Monochromatic Radiation, Transmittance, Atmospheric Stratification, Frequency Ranges, Gas Density, Integral Equations, Pressure Dependence, Temperature Dependence

Scientific paper

The error was modeled for the assumption that the band transmittance at the n + 1st level in a layered atmosphere is the nth level band transmittance times the band transmittance through the nth layer. A good approximation of this error was found to be a power of the band transmittance at the nth level, with the exponent being a function of the temperature, pressure, gas densities, and the layer band transmittance of the nth layer. The model was tested using six standard atmospheric profiles at five frequencies. The rms error for the entire transmittance profiles for all tests was 0.00167.

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