Mathematics – Probability
Scientific paper
Oct 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...185..332h&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 185, no. 1-2, Oct. 1987, p. 332-342.
Mathematics
Probability
8
Astrophysics, Line Spectra, Probability Theory, Radiative Transfer, Photons, Plancks Constant, Reciprocity Theorem
Scientific paper
A simple physical explanation is given for the standard problem of line formation theory, stating that the source function at the surface is given by (the square root of epsilon)B. The present approach assumes that the frequency averaged mean intensity of radiation and the source function, at a given depth, are proportional to the probability of ultimate thermalization of a photon emitted or absorbed at this depth. In the second part, a physical explanation of the Rybcki (1977) generalization of the square root of epsilon law is given to all depths of an atmosphere. Various probabilistic concepts such as the frequency-dependent and angle-dependent thermalization probabilities are introduced.
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