Rapidly convergent lambda operator method for solving resonance line scattering in planetary atmospheres. 1: The one-dimensional slab

Details Rapidly convergent lambda operator method for solving resonance line scattering in planetary atmospheres. 1: The one-dimensional slab Rapidly convergent lambda operator method for solving resonance line scattering in planetary atmospheres. 1: The one-dimensional slab

Nov 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jgr....9921383g&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 99, no. A11, p. 21,383-21,396

Mathematics

5

Atmospheric Models, Atmospheric Scattering, Iterative Solution, Operators (Mathematics), Planetary Atmospheres, Radiative Transfer, Resonance Lines, Absorption Spectra, Atomic Spectra, Cartesian Coordinates, Frequency Distribution, Line Spectra, Mathematical Models, Molecular Spectra

Scientific paper

The study of planetary atmospheric atomic and molecular (resonance) line emissions often require sophisticated radiative transfer models to properly account for scattering and absorption effects. In this work a relatively new and simple, yet powerful, numerical technique for solving radiative transfer problems has been developed and coded for a two-level atom in an one-dimensional Cartesian coordinate system. Angular scattering is assumed to be iostropic, and the method has benn tested for monochronatic, complete frequency redistribution, and angle-averaged frequency redistribution. Formally, the solution is based on the commonly known lambda operator method. Rapid and robust convergence is attained using an intermediate operator that is readily evaluated. In addition, bilinear extrapolation based on previous iterates is found to further increase the rate of convergence. The one-dimensional model intensity versus frequency profiles are found to compare favorably with those other proven models over a large range of optical depths.

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