Radiative SourceFunction Predictions for Finite and SemiInfinite NonConservative Atmospheres
Abstract
The probabilistic method of Sobolev and Case's method of normal mode expansion are combined to predict sourcefunction distributions for radiative transfer in nonconservative, planeparallel atmospheres. The solutions obtained for semiinfinite atmospheres are exact and can be expressed in terms of functions and parameters associated with the nonconservative Milne problem. The predictions for finite atmospheres are approximate and are constructed from the semiinfinite solutions. Tabular values of the requisite functions and parameters are provided to facilitate rapid numerical evaluation of the solutions. Although the finite solutions corresponds to the zerothorder (optically thick) approximation by Case's method, an assessment of the accuracy indicates that the results are useful for optical thicknesses as small as one or even less. The close connection between the results obtained and the method of pointdirection gain of Van de Hulst is discussed.
 Publication:

Astrophysics and Space Science
 Pub Date:
 June 1968
 DOI:
 10.1007/BF00658770
 Bibcode:
 1968Ap&SS...1..460H