Mapping transformations for broadband atmospheric radiation calculations

Two methods of mapping the line-by-line absorption coefficient (k) spectrum onto a new variable to produce a set of k coefficients which can be used for accurate and efficient broadband radiative transfer calculations in vertically inhomogeneous, nongray scattering atmospheres are described. These methods are intended for applications for which the less accurate correlated-k method is inadequate. These methods are tested for model atmospheres containing CO2 and H2O, with pressure in the range 0.05-0.9 bar. The results obtained differed by no more than 1 or 2 percent from the line-by-line results if the number of k coefficients was about 100 times less than the number required for the line-by-line calculation. These algorithms can be used for gas mixtures and for a variety of pressure-temperature profiles.