Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998arep...42...89i&link_type=abstract
Astronomy Reports, Volume 42, Issue 1, January 1998, pp.89-98
Astronomy and Astrophysics
Astronomy
Scientific paper
A new semianalytical method for calculating radiation fields in monochromatically scattering semi-infinite atmospheres is described - the albedo shifting method. In addition to the usual radiative transfer equation in integral and differential form, an auxiliary equation with the same general structure can be derived and used to reconstruct the complete radiation field. By varying a parameter in the auxiliary equation, the effective single-scattering albedo for this equation can be arbitrarily changed. This makes it possible to make the contribution of `scatterings' to the solution of the auxiliary equation small, so that an iterative solution can be found efficiently. The source function and radiation intensity are then calculated from the solution of the auxiliary equation using simple formulas. In contrast to earlier versions of the method, it is not assumed that the kernel of the main (Wiener-Hopf-type) integral equation of the problem is a superposition of exponentials. Numerical tests for the case of isotropic scattering demonstrate the high efficiency of the method.
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