Mathematics – Probability
Scientific paper
Apr 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jqsrt..45..217i&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 45, April 1991, p. 217-223.
Mathematics
Probability
3
Energy Absorption, Photons, Radiative Transfer, Atomic Energy Levels, Doppler Effect
Scientific paper
The derivation of the escape probability method of radiative transfer (EPM) is reconsidered. The usual procedure of taking the source function through the integral for the specific intensity leads, in the first instance, to an approximation (to be referred to as the constant source function method or CSFM) wherein the net radiative bracket rho(r) is equated to the net radiative bracket for a constant source function rho-exp-csf(r). The EPM subsequently follows when the escape probability P sub e (r) is substituted as an alternative label for rho-exp-csf(r). The merit of this latter substitution, including the historical reasons for its use is examined. There is no compelling reason to make such a substitution. Attention is drawn to the fact that P sub e (r) is not necessarily equal to rho-exp-csf(r) in a differentially moving medium and that the substitution of P sub e (r) for rho-exp-csf(r) is consequently of limited validity. The lack of a compelling reason to substitute P sub e (r) for rho-exp-csf(r) is advanced as a good reason for preferring the CSFM to the EPM.
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