Published August 1984
| public
Journal Article
A Note on the Variational Method of Stokes and DeMarcus for Radiative Transfer in Planetary Atmospheres
Abstract
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.
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.Additional details
- Eprint ID
- 48695
- DOI
- 10.1016/0019-1035(84)90021-6
- Resolver ID
- CaltechAUTHORS:20140819-145831347
- NSG 7376
- NASA
- Created
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2014-08-19Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Division of Geological and Planetary Sciences
- Other Numbering System Name
- Caltech Division of Geological and Planetary Sciences
- Other Numbering System Identifier
- 3894