Formation of coupled spectral lines in a planetary atmosphere. II - Numerical evaluation of approximate solutions

Computer Science – Numerical Analysis

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Atmospheric Radiation, Line Spectra, Numerical Analysis, Planetary Atmospheres, Planetary Radiation, Radiative Transfer, Albedo, Computer Techniques, Resonant Frequencies

Scientific paper

Approximate solutions to the radiation-transfer problem of two or more resonance lines that share a common upper level have previously been obtained by Chamberlain and Wallace. Essentially exact solutions from a computer program are compared with those approximate solutions to evaluate the utility of the approximations in solving planetary radiation problems. Isotropic scattering and a semiinfinite atmosphere are adopted throughout. When the atmosphere is homogeneous with depth, the approximation is very good. When it is inhomogeneous, with scattering albedo gradually decreasing downward, the approximation is good only for single lines. The combined complication of multiple coupled transitions in an inhomogeneous atmosphere strains the presumption of a single effective albedo. Even in this case, however, the line ratios are satisfactory across the disk, although the absolute center-to-limb variation and total reflected flux are not.

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