Some new nonlinear relations of radiative transfer theory

Details Some new nonlinear relations of radiative transfer theory Some new nonlinear relations of radiative transfer theory

Oct 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995ap.....38..319n&link_type=abstract

Astrophysics, Volume 38, Issue 4, pp.319-324

Astronomy and Astrophysics

Astrophysics

Scientific paper

This paper presents some new results concerning the generalization and physical interpretation of Rybicki's quadratic and bilinear relations. The fundamental equations obtained on the basis of Ambartsumian's invariance principle and regarded as its extension to all depths in the atmosphere, imply Q- and R-relations have a more general structure than those known up to the present. These equations admit a simple probabilistic interpretation. Some bilinear relations are derived to connect the transfer problems of different sorts. For the sources distributed in the semi-infinite atmosphere by exponential law, separate Q- and R-relations are obtained.

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