Summary
This paper correctly derives an efficient convolution formula for calculating the composite k-distribution for a gas mixture. The explicit derivation for the composite k-distribution shows that the convolution theorem directly results from the multiplication property. In a chosen example of CO2 + H2O gas mixture in [600, 700] cm−1, the fractional errors in the composite k-distribution derived from the convolution formula are 1 ~ 2%, which yield a maximum error in the band absorption of < 1%.
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Zhu, X. On overlapping absorption of a gas mixture. Theor Appl Climatol 52, 135–142 (1995). https://doi.org/10.1007/BF00864037
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DOI: https://doi.org/10.1007/BF00864037