Geodesic
A brief proof of the formula for layer addition
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 3, pp. 24-29 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. S. Antyufeev. A brief proof of the formula for layer addition. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 3, pp. 24-29. http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a2/

[1] V. S. Antyufeev, “Boundary radiation transfer through a planar layer”, J. Math. Sci., 203:4 (2014), 427–435 | DOI | MR

[2] Chandrasekhar S., Radiative Transfer, Dover, N. Y., 1960 | MR

[3] V. A. Ambartsumian, “On the problem of the diffuse reflection of light by a turbid medium”, Dokl. Akad. Nauk SSSR, 38:8 (1943), 257–261 (in Russian)