This article is cited in 7 papers

X-ray tomographic determination of the chemical composition and structure of an inhomogeneous medium

V. G. Nazarov

Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia

Abstract: The chemical composition of an inhomogeneous body consisting of several homogeneous parts is determined by x-ray tomography. At the first stage, an indicator of inhomogeneities is used to determine the internal structure of the body. Next, under certain additional assumptions about the properties of the parts, a method is proposed for partial or complete determination of the chemical composition of each part as based on the results of the previous stage. Mathematically, the problem is reduced to solving the radiative transfer equation and systems of linear algebraic equations. Numerical experiments are performed via computer simulation. The numerical results are illustrated by graphs and tomograms.

Key words: radiative transfer equation, x-ray tomography, numerical method for determining the chemical composition of a medium.

UDC: 519.65

Received: 02.05.2006
Revised: 26.03.2007

 English version: Computational Mathematics and Mathematical Physics, 2007, 47:8, 1358–1367

Bibliographic databases:

• 
•