Statistics – Computation
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jqsrt..32..235b&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 32, Sept. 1984, p. 235-240. Research supporte
Statistics
Computation
Computational Astrophysics, Finite Difference Theory, Numerical Stability, Population Inversion, Radiative Transfer, Stimulated Emission, Boundary Value Problems, Convergence, Differential Equations, Iterative Solution, Lasing, Optical Thickness
Scientific paper
Numerical problems are associated with performing coupled radiative-transfer/kinetic-equilibrium calculations in media where population inversion (i.e. negative opacity) may occur. Firstly, the formal solution of the radiative transfer equation is inherently unstable if the Feautrier (1964) variables are used. Secondly, it is not appropriate to use an analytic equivalent two-level-atom source function coupled to a provisional optical depth scale in such conditions, since the optical depth may change rapidly as a function of the radiation field. A non-Lambda method for overcoming these problems is presented. Its application to a simple problem is described, and its applicability to more general problems is discussed. Results are compared with those from a Lambda-iteration method.
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