Reviews

X-ray and optical tomography problems

A. E. Kovtanyuk, V. M. Moon, V. G. Nazarov, I. V. Prokhorov, I. P. Yarovenko

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: The problems of X-ray and optical tomography have been considered in the review. A method for determination of a substance chemical composition based on the use of X-ray irradiation results has been proposed. The solution uniqueness for the problem of the attenuation coefficient determination for the vector transfer equation under a special external radiation source has been shown. The problems of determination of the refraction indices and optical thicknesses for a layered medium have been studied. A computer verification of the proposed numerical algorithms has been carried out.

Keywords: radiation transfer theory, inverse problems, tomography.

UDC: 517.958, 519.63, 535.3

MSC: 45K05, 85A25, 35Q60, 65N21

Received September 1, 2008, published November 26, 2008

Bibliographic databases:

•