Geodesic
A brief proof of the formula for layer addition
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 3, pp. 24-29

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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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     author = {V. S. Antyufeev},
     title = {A brief proof of the formula for layer addition},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     publisher = {mathdoc},
     volume = {15},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a2/}
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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/