Matrix-exponential description of radiative transfer
Journal Article
·
· J. Opt. Soc. Am.; (United States)
By appling the matrix-exponential operator technique to the radiative-transfer equation in discrete form, new analytical solutions are obtained for the transmission and reflection matrices in the limiting cases x<<1 and x>>1, where x is the optical depth of the layer. Orthongonality of the eigenvectors of the matrix exponential apparently yields new conditions for determining. Chandrasekhar's characteristic roots. The exact law of reflection for the discrete eigenfunctions is also obtained. Finally, when used in conjuction with the doubling method, the matrix exponential should result in reduction in both computation time and loss of precision.
- Research Organization:
- Panmetrics, Inc., 221 Crescent Street, Waltham, Masschusetts 02154
- OSTI ID:
- 6531536
- Journal Information:
- J. Opt. Soc. Am.; (United States), Journal Name: J. Opt. Soc. Am.; (United States) Vol. 71:4; ISSN JOSAA
- Country of Publication:
- United States
- Language:
- English
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