Probabilistic radiative transfer - an integral-equation approach

Details Probabilistic radiative transfer - an integral-equation approach Probabilistic radiative transfer - an integral-equation approach

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...204..160a&link_type=abstract

Astrophysical Journal, vol. 204, Feb. 15, 1976, pt. 1, p. 160-167.

Mathematics

Probability

7

Atomic Energy Levels, Integral Equations, Line Spectra, Photons, Probability Theory, Radiative Transfer, Energy Spectra, Equilibrium Equations, Iterative Solution, Kinetic Equations, Matrix Theory, Population Theory, Transport Properties

Scientific paper

The kinetic equilibrium equations of radiative transfer and steady-state populations of energy levels are formulated in terms of the probabilities for photon creation, destruction, and transport. This new formulation is used to derive an approximate equation, a special case of which has been used elsewhere. The probabilistic formulation leads to new approaches for obtaining rapid, approximate solutions, and, in addition, is amenable to solution by lambda iteration.

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