The Method of Addition of Layers to Solve Non-Linear Radiative Transfer Problems

Details The Method of Addition of Layers to Solve Non-Linear Radiative Transfer Problems The Method of Addition of Layers to Solve Non-Linear Radiative Transfer Problems

Jan 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981a%26a....93..150g&link_type=abstract

Astronomy and Astrophysics, Vol. 93, P. 150, 1981

Astronomy and Astrophysics

Astrophysics

6

Scientific paper

An extension of the method of adding layers to solve non-linear problems in which the radiation fields are not proportional to the sources is presented here. The basis of the generalization lies in a linearization scheme which makes it possible to employ the linear formulae from a new point of view. Emphasis is given to the physical significance of the various quantities introduced in this method, which results in a large flexibility of use as well as in a capacity of building radiative mediums along continuation processes. The method appears to be well suited for handling sharp ionization zones in a non-linear context with correspondingly ill-behaved and sensitive problems. The boundary conditions are discussed in connection with the physical structure of extended atmospheres illuminated from below.

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