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A Fast Method for the Determination of Emergent Intensities in Radiative Transfer Theory

  • C. J. Cannon (a1)

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One of the quantities usually required when solving the equation of radiative transfer is the intensity of radiation emerging from the surface of the medium under consideration. For multi-dimensional situations however, the methods presented to date have been numerical, and these first calculate the so-called source function Sv (r, Ω) as a function of position r, angle Ω and frequency v. This is generally the most difficult part of the exercise since an integro-difierential equation must be solved. The emergent intensity is then determined by solving a relatively simple first order differential equation by any of the well known numerical integration schemes. However, if the emergent intensity is required at a large number of angles, frequencies, and positions on the surface of the medium, and this is usually the case, the amount of computing needed may be considerable.

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1 Avery, L. W., House, L. L. and Skumanich, A., J.Q.S.R.T., 9, 519 (1969).
2 Avrett, E. H., Private communication (1970).
3 Cannon, C. J., Ap. J., 161, 255 (1970).
4 Jones, H. P., Unpublished Ph.D. thesis, University of Colorado (1970).
5 Rybicki, G. B., Unpublished Ph.D. thesis, Harvard University (1965).
6 Wilson, P. R., Ap. J., 151, 1029 (1968).
7 Auer, L. H., Ap. f. (Letters), 150, L53 (1967).

A Fast Method for the Determination of Emergent Intensities in Radiative Transfer Theory

  • C. J. Cannon (a1)

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