Geodesic
The problem of the formation of materials with given radiation characteristics
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 2, pp. 130-143

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The problem of the formation of materials with given radiation characteristics is considered on the example of the formation of a mixture that has the X-radiation attenuation and scattering coefficients close or equal to those of an a priori given material on a predetermined energy band. The posed optimization problem is reduced to solving a system of linear equations under some conditions. A geometric interpretation of the problem and its solution are given.
Keywords: radiative transfer equation, X-ray tomography. 
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     author = {V. G. Nazarov},
     title = {The problem of the formation of materials with given radiation characteristics},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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V. G. Nazarov. The problem of the formation of materials with given radiation characteristics. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 2, pp. 130-143. http://geodesic.mathdoc.fr/item/SJIM_2013_16_2_a11/