Abstract
A two-stream approximation is applied to the equation of infrared (IR) radiative transfer in order to compute the detailed structure of fluxes and cooling/heating rates in inhomogeneous, cloudy atmospheres. The spectrum between 4 and 400 μm is split into 50 bands, and absorption of water vapour, uniformly mixed gases, ozone, water vapour polymers and water droplets are taken into account. Allowance is made for scattering by water droplets in the atmospheric window region (8–12.8 μm) where the delta function approximation is used. The backward scattering coefficient is calculated from the asymmetry parameter by means of a new simple formula. The model is compared to other radiative transfer schemes and some applications are presented.
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References
Chandrasekhar, S. (1960),Radiative Transfer (Dover Publ. Ind., New York) 393 pp.
Cox, S. K. (1973),Infra-red Heating Calculations with a Water Vapour Pressure Broadened Continuum, Quart. J. R. Met. Soc.99, 669–679.
Graßl, H. (1976),A New Type of Absorption in the Atmospheric Infrared Window due to Water Vapor Polymers, Beitr. Phys. Atmosph.49, 225–236.
Gruenzel, R. (1978),Mathematical Expressions for Molecular Absorption in Lowtran B, Appl. Opt.17, 2591–2593.
Hale, G. M., andQuerry, M. R. (1973),Optical Constants of Water in the 200 nm to 200 m Wavelength Region, Appl. Optics12, 555–563.
Hansen, J. (1969),Exact and Approximate Solutions for Multiple Scattering by Cloudy and Hazy Planetary Atmospheres, J. Atmos. Sci.27, 943–949.
Hansen, J. E. (1971),Multiple Scattering of Polarized Light in Planetary Atmospheres. Part 2: Sunlight Reflected by Terrestrial Water Clouds, J. Atmos. Sci.28, 1400–1426.
IAMAP (1977),Report of the IAMAP Radiation Commission Working Group on a Standard Radiation Atmosphere (Seattle, Wash., 29 August 1977).
Janßen, Th. (1975),Abkühlung der planetarischen Grenzschicht durch Wärmestrahlung, Diplomarbeit am Institut für Geophysik und Meteorologie der Universität zu Köln.
Jung, H. J. (1975),Berechnung infraroter Strahlungsdivergenzen in wolkenfreien und bewölkten Atmosphärenmodellen, Diplomarbeit am Institut für Geophysik und Meteorologie der Universität zu Köln.
Kahn, P. H., andBusinger, J. A. (1979),The Effect of Radiative Flux Divergence on Entrainment of a Saturated Convective Boundary Layer, Quart. J. R. Met. Soc.105, 303–305.
Kondratyev, K. Ya. (1969),Radiation in the Atmosphere (Academic Press, New York-London) 912 pp.
Rorb, G. J., Welch, R. M., andZdunkowski, W. G. (1975),An Approximate Method for the Determination of Infrared Radiative Fluxes in Scattering and Absorbing Media, Beitr. Phys. Atmosph.48, 85–94.
Lenoble, J. (1975),Standard Procedures to Compute Atmospheric Radiative Transfer in a Scattering Atmosphere, Vol. I, IAMAP Radiation Commission.
Lilly, D. K., andSchubert, W. H. (1980),The Effects of Radiative Cooling in a Cloud Topped Mixed Layer, J. Atmos. Sci.37, 482–487.
Pierluissi, J. H., Tomiyama, K., andGomez, R. (1979),Analysis of the Lowtran Transmission Functions, Appl. Opt.18, 1607–1612.
Platt, C., Reynolds, D., andAbshire, N. (1980),Satellite and Lidar Observations of the Albedo, Emittance and Optical Depth of Cirrus Compared to Model Calculations, Mon. Wea. Rev.108, 195–204.
Pollard, R. T. (1978),The Joint Air-Sea Interaction Experiment—Jasin 1978, Bull. Amer. Meteor. Soc.59, 1310–1318.
Potter, J. F. (1970),The Delta Function Approximation in Radiative Transfer Theory, J. Atmos. Sci.27, 943–949.
Randall, D. A. (1980),Entrainment into a Stratocumulus Layer with Distributed Radiative Cooling, J. Atmos. Sci.37, 148–159.
Roach, W. T., andSlingo, A. (1979),A High Resolution Radiative Transfer Scheme to Study the Interaction of Radiation with Cloud, Quart. J. R. Met. Soc.105, 603–614.
Schaller, E. (1979),A Delta-two-stream Approximation in Radiative Flux Calculations, Beitr. Phys. Atmosph.52, 17–26
Schaller, E. (1980),Die Rolle von Strahlungsprozessen in einem Modell für abgehobene Inversionen, Bericht des Deutschen Wetterdienstes Nr. 151.
Selby, J., Kneizys, F., Chetwynd, J., andMcClatchey, R. (1978),Atmospheric Transmittance/Radiance: Computer Code Lowtran 4, AFGL-TR-78-0053, Air Force Geophysics Laboratory, Hanscom Mass.
Slingo, A., Brown, R., andWrench, C. L. (1980),A Field Study of Nocturnal Stratocumulus: III. High Resolution Radiative and Microphysical Observations, submitted to Quart. J. R. Met. Soc.
Stephens, G. (1980),Radiative Properties of Cirrus Clouds in the Infrared Region J. Atmos. Sci.37, 435–446.
Wang, W., andDomoto, G. A. (1974),The Radiative Effect of Aerosols in the Earth's Atmosphere, J. Appl. Meteor.13, 521–534.
Widger, W. K., andWoodall, M. P. (1976),Integration of the Planck Blackbody Radiation Function, Bull. Amer. Meteor. Soc.57, 1217–1219.
Wiscombe, W. J., andGrams, G. W. (1976),The Backscattered Fraction in Two-Stream Approximations, J. Atmos. Sci.33, 2440–2451.
Yueh, W. R., andChameides, W. L. (1979),A Perturbative Treatment of Aerosol Scattering of Infrared Radiation, J. Atmos. Sci.36, 1997–2005.
Zdunkowski, W. G., Korb, G. J., andDavis, C. T. (1974),Radiative Transfer in Model Clouds of Variable and Height Constant Liquid Water Content as Computed by Approximate and Exact Methods, Beitr. Phys. Atmosph.47, 157–186.
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Schmetz, J., Raschke, E. An approximate computation of infrared radiative fluxes in a cloudy atmosphere. PAGEOPH 119, 248–258 (1980). https://doi.org/10.1007/BF00877764
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DOI: https://doi.org/10.1007/BF00877764