The use of iteration factors in the solution of the NLTE line transfer problem . 1: Two-level atom

Details The use of iteration factors in the solution of the NLTE line transfer problem . 1: Two-level atom The use of iteration factors in the solution of the NLTE line transfer problem . 1: Two-level atom

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jqsrt..51..525a&link_type=abstract

Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 51, no. 3, p. 525-543

Statistics

Computation

4

Eddington Approximation, Iteration, Line Spectra, Mathematical Models, Monochromatization, Radiative Transfer, Finite Difference Theory, Many Body Problem, Molecular Excitation, Radiation Distribution

Scientific paper

From the original idea of the monochromatic variable Eddington factors and through a critical revision of the straightforward Lambda iteration scheme we have developed an improved iterative method to solve the line formation problem. Our study deals with the computational aspects of the method when applied to the solution of the two-level-atom line transfer problem. At each iteration step, angle and frequency averaged depth-dependent factors defined as the ratios of the relevant intensity moments are computed form the current values of the radiation field. These factors are then used to close the system of the radiative transfer equation moments. Due to the quasi-invariance of the factors, the exact solution of the system is achieved within only a few iterations, even under physical conditions very far from the local thermodynamic equilibrium (LTE).

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