Abstract
The model under consideration is a pencil of radiation incident on a cloud, and the problem is to determine the reflection and transmitted radiation. Based on the method of ‘principle of invariance’, three mathematical models are constructed. The first is the basic model, which describes the radiation system completely. The second is the flux integral model, in which the integral average intensity is considered. The third is the diffusion model, which gives the most important information about the diffused radiation field.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ambarzumian, V.: 1958,Theoretical Astrophysics (translated from Russian), Pergamon Press, New York.
Bartky, C. E.: 1965,Appl. Optics 4 (No. 7).
Bellman, R. and Kalaba, R.: 1965,Proc nat. Acad. Sci. 42, 629.
Chandrasekhar, S.: 1950,Radiative Transfer Dover Publications, New York.
Deirmendjian, D.: 1961, Paper presented atInt. Symp. on Radiation, the Radiation Commission, I.A.M.A.P., Vienna.
Khrigian, A. Kh. and Mazin, I. P.: 1952,Trudy Tsentral, Aerolog. Obs. No. 7, 56.
Khrigian, A. Kh. and Mazin, I. P.: 1956,Trudy Tsentral, Aerolog. Obs. No. 17, 36.
Ueno, S. and Wang, A. P.: 1973,Astrophys. Space Sci. 23, 205.
Wang, A. P.: 1977,J. Math. Phys. 18, 47.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wang, A.P. A mathematical model of a cloud. Astrophys Space Sci 70, 447–459 (1980). https://doi.org/10.1007/BF00639569
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00639569