The authors would thank two anonymous reviewers, Drs. H. Barker and M. Holtzer, and Mr. T. H. Lindner for their helpful comments, and Ms. M. C. Cribb for help in running the 128-stream discrete ordinate model. One of authors (QF) has been supported by DOE Grant, NSERC Operating Grant, and AES Science Subvention Grant.
Edwards, J. M., and A. Slingo, 1996: Studies with a flexible new radiation code. I: Choosing a configuration for a large-scale model. Quart. J. Roy. Meteor. Soc.,122, 689–719.
Fu, Q., and K. N. Liou, 1992: On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres. J. Atmos. Sci.,49, 2139–2156.
——, and ——, 1993: Parameterization of radiative processes of cirrus clouds. J. Atmos. Sci.,50, 2008–2025.
——, ——, M. C. Cribb, T. P. Charlock, and A. Grossman, 1997: On multiple scattering in thermal infrared radiative transfer. J. Atmos. Sci.,54, 2799–2812.
Joseph, J. H., W. J. Wiscombe, and J. A. Weinman, 1976: The delta-Eddington approximation for radiative flux transfer. J. Atmos. Sci.,33, 2452–2459.
Li, J., 1999: Gaussian quadrature and its application to infrared radiation. J. Atmos. Sci.,57, 753–765.
——, D. J., W. Geldart, and P. Chý≤k, 1994: Perturbation solution for 3D radiative transfer in a horizontally periodic inhomogeneous cloud field. J. Atmos. Sci.,51, 2110–2122.
——, ——, and ——, 1995: Second order perturbation solution for radiative transfer in clouds with a horizontally arbitrary periodic inhomogeneity. J. Quant. Spectrosc. Radiat. Transfer,53, 445–456.
Stamnes, K., S. C. Tsay, W. Wiscombe, and K. Jayaweera, 1988: A numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media. Appl. Opt.,27, 2502–2509.
Toon, O. B., C. P. McKay, and T. P. Ackerman, 1989: Rapid calculation of radiative heating rates and photodissociation rates in inhomogeneous multiple scattering atmospheres. J. Geophys. Res.,94, 16 287–16 301.