Physics
Scientific paper
Nov 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010vaoa.conf..296d&link_type=abstract
"Evolution of Cosmic Objects through their Physical Activity, Proceedings of the Conference dedicated to Viktor Ambartsumian's 1
Physics
Scientific paper
The author presents the main concepts allowing to develop a system for analytical solution of standard problems of radiative transfer theory. These solutions, found with the use of Ambartsumian's Principle of Invariance(API) and Sobolev's Probabilistic Interpretation(SPI) for the processes of radiation diffusion, are extremely compact and can be easily used for numeric calculations. A unified structural form of integral representations is given for various problems of radiative transfer theory in semi-infinite medium and in a finite layer. A descriptive block-diagram is given, representing solution stages for standard problems. It is shown that for the solution of semi-infinite medium problems Ambartsumian's function ?(?)(or rather, 1/?(?)), plays a fundamental role, and for a finite layer "alternative" functions a(?,?) and b(?,?) play a similar role. It is also shown that any characteristics of the radiation field can be found by the solution of a single linear integral equation, followed by one or two quadratures and algebraic operations.
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