A model of the cumulative distribution function for wide band radiative properties

Improved band parameters for a simplified wide band cumulative absorption coefficient distribution model for H2O and CO2

“…Wide band spectral intervals can be classified into three distinct categories -single, overlapped and multiple [7]. For single and overlapped bands, Marin and Buckius [7] develop limiting forms of the wide band absorption coefficient distribution for small and large pressures.…”

“…For single and overlapped bands, Marin and Buckius [7] develop limiting forms of the wide band absorption coefficient distribution for small and large pressures. Extending this approach, a continuous stepwise formulation [5,6] for the cumulative distribution function is proposed as…”

“…[6,7], the 4.3 lm band of CO 2 is more accurately represented as a multiple, separated band characterized by the presence of distinct and independent rotational-vibrational transitions. A multiple band formulation is employed in the form of…”

“…Marin and Buckius [7] indicate that the appropriate band parameters are dependent on the particular benchmark results employed, and a different database would yield a slightly different parameter set. The previous parameters presented in Refs.…”

“…Based upon the exact expressions of the cumulative distribution function for small and large pressure limits [7], the model employs the exponential wide band model [8] together with the Malkmus model [9] plus additional physically-justified approximations. The model also introduces a fitting function to extend the pressure range to intermediate values.…”