V. S. Antyufeev, “Boundary problem for radiation transfer through plane layer”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2013, Volume 13, Issue 1,Pages <nobr>13

This article is cited in 1 paper

Boundary problem for radiation transfer through plane layer

V. S. Antyufeev^ab

^a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: A special statement of the problem of radiation transfer through plane layer, called boundary problem, is considered. It was proposed first by Ambartsumian. An operatormatrix made up of the layer reflection and transmittance operators is introduced. A “layer addition” theorem is proved. Application examples are considered.

Keywords: radiactive transfer, invariance principle, plane layer, reflection and transmission operators, semigroup of operators.

UDC: 519.6

Received: 24.09.2011