This article is cited in 1 paper

The problem of the formation of materials with given radiation characteristics

V. G. Nazarov<sup>ab

a</sup> Institute of Applied Mathematics FEB RAS, 7 Radio st., 690041 Vladivostok, Russia
^b Far Eastern Federal University, 8 Sukhanov st., 690950 Vladivostok, Russia

Abstract: 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.

UDC: 523.51

Received: 09.08.2012

Bibliographic databases:

•