V. S. Antyufeev, “A brief proof of the formula for layer addition”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2015, Volume 15, Issue 3,Pages <nobr>24

A brief proof of the formula for layer addition

V. S. Antyufeev^ab

^a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: An algebraic proof of the formula for layer addition has been produced earlier. A new proof of this formula, much more brief and simple, is based on illustrative geometrical considerations.

Keywords: radiative transfer, plane layer, reflection and transmission operators.

UDC: 519.6

Received: 06.05.2015

DOI: 10.17377/PAM.2015.15.303