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X. Xiang, E. A. Smith, and C. G. Justus

1978 JOURNAL OF THE ATMOSPHERIC SCIENCES VOL. 51, No. 13 A Rapid Radiative Transfer Model for Reflection of Solar Radiation X. XIANG AND E. A. SMITHDepartment of Meteorology and Supercomputer Computations Research Institute, The Florida State University, Tallahassee, Florida C. G. JUSTUSSchool of Earth and Atmospheric Sciences, Georgia

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Kuo-Nan Liou and Szu-Cheng S. Ou

DECEMBER1981 KUO-NAN LIOU AND SZU-CHENG S. OU 2707Parameterization of Infrared Radiative Transfer in Cloudy Atmospheres Kuo-N^N LIOU AND Szu-CHENG S. OuDepartment of Meteorology, University of Utah, Salt Lake City 84112(Manuscript received 30 March 1981, in final form 27 July 1981)ABSTRACT Parameterization of the transfer of infrared fluxes is developed for an atmosphere containing nonblackand semi-transparent clouds. The concept

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James A. Fillmore and Alan H. Karp

1880 JOURNAL OF THE ATMOSPHERIC SCIENCES VOLUME3'7Choosing an Approximation to the Equation of Radiative TransferJAMES A. FILLMORE1 AND ALAN a. KARP . IBM Scientific Center, Palo Alto, CA 94304' 3 January 1980 and 14 April 1980ABSTRACT We examine the accuracy of the PL approximation to the equation of radiative transfer in the presenceof scattering/absorbing clouds of various optical

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Benjamin M. Herman and Samuel R. Browning

SE~'TE~UUR1965 BENJAMIN M. HERMAN AND SAMUEL R. BROWNING 559A Numerical Solution to the Equation of Radiative Transfer~ BENJAmN M. HEmm~N ^N~) S~MUEL R. B~ow~- The University of Arizona, Tucson(Manuscript received 16 July 1964, in revised form 12 May 1965)ABSTRACT A numerical method of solving the equation of radiative transfer for a plane parallel, horizontally homogeneous medium is presented. The method is

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Jeffrey R. Tesmer and Thomas T. Wilheit

collocated radar and radiometer data should give a better estimate of rainfall than just radiometer data alone. Microwave rainfall algorithms rely heavily on the details of the radiative transfer models used to produce them. The recent trend in modeling has been to use the output of multidimensional cloud models as input for the radiative transfer algorithms. The radiative transfer models such as the model discussed in Wilheit et al. (1977) only used a single atmospheric profile for a range of rain

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Masanori Saito, Ping Yang, Norman G. Loeb, and Seiji Kato

a better representation of snow albedo, this study first describes a snow grain habit mixture (SGHM) model, a newly developed snow particle model based on in situ accumulated snow measurements. Using the SGHM, we demonstrate improvement in calculating rigorous spectral snow albedo due to a two-layer snow assumption. Finally, we also develop a two-layer snow albedo parameterization that is useful for rapid broadband shortwave radiative transfer calculation in weather forecasting and climate

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J. Li

newly developed methods to address the radiative transfer process ( Shettle and Weinman 1970 ; Coakley and Chýlek 1975 ; Joseph et al. 1976 ; Liou et al. 1988 ; Stamnes et al. 1988 ; Li and Ramaswamy 1996 , and others), and the application of Mie and other more computationally intensive scattering methods in solving for nonspherical cloud and aerosol particle optical properties and their corresponding parameterizations (e.g., Slingo 1989 ; Fu et al. 1998 ; Liou et al. 1999 ; Dobbie et al

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Daniel T. Pawlak, Eugene E. Clothiaux, Michael F. Modest, and Jason N. S. Cole

1. Introduction Gases in the atmosphere of earth have absorption coefficients that vary rapidly as a function of wavelength λ or wavenumber η, changing by several orders of magnitude across the electromagnetic spectrum. As a result, the most accurate way to perform broadband radiative transfer calculations is to divide the full spectrum into nearly monochromatic wavenumber intervals ( δη ≈ 10 −4 –10 −3 cm −1 ) and to calculate atmospheric fluxes and heating rates for each of these

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Gilbert N. Plass and Daniel I. Fivel

VOL. 12, NO. 3JOURNAL OF METEOROLOGYJUNE 1955A METHOD FOR THE INTEGRATION OF THE RADIATIVE-TRANSFER EQUATION By Gilbert N. Plass and Daniel I. Fiud Johns Hopkins University(Manuscript received 24 May, 1954)ABSTRACTThe equations for radiative transfer are integrated exactly for a band of spectral lines which do not overlap and for an Elsasser band. The result of the two-fold integration of the absorption over frequency andover the atmospheric path can be expressed in terms of the

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Seung-Hee Ham, Seiji Kato, and Fred G. Rose

1. Introduction The integro-differential radiative transfer equation cannot be analytically solved unless a simplifying assumption is made because the radiance leaving to a certain direction is contributed by the multiple scattering components from all directions. To obtain a solution, scattered radiances in the source function are approximated at a limited number of discretized angular directions. The number of angular points is often called the number of streams in the radiation scheme. Even

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