Ag. Nikoghossian, INVARIANCE-PRINCIPLE AND BILINEAR RELATIONS OF THE RADIATIVE-TRANSFERTHEORY .1., The Astrophysical journal, 483(2), 1997, pp. 849-856
This is the first of two papers devoted to physical interpretation of
Rybicki's quadratic and bilinear relations. The fundamental equations
obtained on the basis of Ambartsumian's invariance principle and regar
ded as its extension to all depths in the atmosphere, imply that the Q
and R relations have with more general structures than those known up
to the present. These equations allow a simple probabilistic interpre
tation. Some bilinear relations are derived to connect the transfer pr
oblems of different sorts. For the sources distributed in the semi-inf
inite atmosphere by exponential law, the separate Q and R relations ar
e obtained. It is shown that the two-point quadratic Q relation may be
derived directly on the base of physical considerations used in the i
nvariance technique.