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A Note on the Variational Method of Stokes and DeMarcus for Radiative Transfer in Planetary Atmospheres

Chow, Kenneth S. K. and Friedson, A. James and Yung, Yuk L. (1984) A Note on the Variational Method of Stokes and DeMarcus for Radiative Transfer in Planetary Atmospheres. Icarus, 59 (2). pp. 177-187. ISSN 0019-1035. doi:10.1016/0019-1035(84)90021-6.

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A generalized functional which yields the Milne integral equation on variation and whose extremum value is proportional to the reflectivity at arbitrary emergent angle is proposed. A similar functional exists for computing the transmissivity at arbitrary emergent angle. This work is a generalization of the variational method of Stokes and DeMarcus (1971, Icarus 14, 307) based on the principle of reciprocity. In the special case of trial functions that are linear in the undetermined parameters, the calculation is greatly simplified. The computational value of our variational principle is demonstrated.

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Yung, Yuk L.0000-0002-4263-2562
Additional Information:© 1984 by Academic Press, Inc. Received June 15, 1983; revised April 16, 1984. Available online 26 October 2002. Contribution 3894 of the Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, Calif. 91125. One of us (Y.L.Y.) acknowledges helpful discussions with N.D. Sze and R. M. Goody. This research was supported by NASA Grant NSG 7376 to California Institute of Technology.
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Caltech Division of Geological and Planetary Sciences 3894
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Official Citation:Kenneth S.K. Chow, A. James Friedson, Yuk L. Yung, A note on the variational method of Stokes and DeMarcus for radiative transfer in planetary atmospheres, Icarus, Volume 59, Issue 2, August 1984, Pages 177-187, ISSN 0019-1035, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:48695
Deposited By: Ruth Sustaita
Deposited On:19 Aug 2014 22:11
Last Modified:10 Nov 2021 18:34

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