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%.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Abramowitz, M. J., Stegun, I. A., 1965:Handbook of Mathematical Functions. New York: Dover.
Arking, A., Grossman, K., 1972: The influence of line shape and band structure on temperature in planetary atmospheres.J. Atmos. Sci. 29, 937–949.
Chou, M. D., Kratz, K. P., Ridgway, W., 1991: Infrared radiation parameterizations in numerical climate models.J. Climate 4, 424–437.
Crisp, D., Fels, S. B., Schwarzkopf, M. D., 1986: Approximate methods for finding CO2 15-µm band transmission in planetary atmosphere.J. Geophys. Res. 91, 11, 851–11, 866.
Domoto, G. A., 1974: Frequency integration for radiative transfer problems involving homogeneous non-gray gases: The inverse transmission function.J. Quant. Spectrosc. Radiat. Transfer 14, 935–942.
Fu, Q., Liou, K. N., 1992: On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres.J. Atmos. Sci. 49, 2139–2156.
Gerstell, M. F., 1993: Obtaining the cumulative k-distribution of a gas mixture from those of its components.J. Quant. Spectrosc. Radiat. Transfer 49, 15–38.
Goody, R. M., 1952: A statistical model for watervapour absorption.Quart. J. Roy Meteor. Soc. 78, 165–169.
Goody, R., West, R., Chen, L., Crisp, D., 1989: The correlated-k method for radiation calculations in nonhomogeneous atmospheres.J. Quant. Spectrosc. Radiat. Transfer 42, 539–550.
Goody, R. M., Yung, Y. L., 1989:Atmospheric Radiation: Theoretical Basis 2nd edn. New York, Oxford: Oxford Univ. Press, 519 pp.
Lacis, A. A., Oinas, V., 1991: A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres.J. Geophys. Res. 96(D5), 9027–9063.
Rothman, L. S., Gamache, R. R., Goldman, A., Brown, L. R., Toth, R. A., Pickett, H. M., Poynter, R. L., Flaud, J. M., Camy-Peyret, C., Barbe, A., Husson, N., Rinsland, C. P., Smith, M. A. H., 1987: The HITRAN database: 1986 edition.Appl. Opt. 26, 4058–4097.
Wehrbein, W. M., Leovy, C. B., 1982: An accurate radiative heating and cooling algorithm for use in a dynamical model of the middle atmosphere.J. Atmos. Sci. 39, 1532–1544.
West, R., Crisp, D., Chen, L., 1990: Mapping transformations for broadband atmospheric radiation calculations.J. Quant. Spectrosc. Radiat. Transfer 43, 191–199.
Zhu, X., 1992: The correlated-k coefficients calculated by random band models.J. Quant. Spectrosc. Radiat. Transfer 47, 159–170.
Zhu, X., 1994: An accurate and efficient radiation algorithm for middle atmosphere models.J. Atmos. Sci. 51, 3593–3614.
Zhu, X., Summers, M. E., Strobel, D. F., 1992: Calculation of CO2 15µm band atmospheric cooling rates by Curtis matrix interpolation of correlated-k coefficients.J. Geophys. Res. 97 (D12), 12, 787-12, 797.
With 5 Figures
About this article
Cite this article
Zhu, X. On overlapping absorption of a gas mixture. Theor Appl Climatol 52, 135–142 (1995). https://doi.org/10.1007/BF00864037
- Climate Change
- Waste Water
- Band Absorption
- Water Management
- Water Pollution