A NEW METHOD FOR CALCULATION OF DENSITY DISTRIBUTION FOR X-RAY PHOTON SCATTERING IN HOMOGENEOUS AND INHOMOGENEOUS MEDIA
Valentin M. Artemiev, Alexander O. Naumov and Rüdiger Tillack* Institute of Applied Physics, Belarussian Academy of Sciences, Minsk, Belarus *Bundesanstalt fur Materialforschung und prufung (BAM), Berlin, Germany
Keywords: X-ray photons, absorption, scattering, density distribution, Markovian process
ABSTRACT
This report is concerned with the development of a new method based on automatic control approaches for calculation the density distribution of photons scattered in homogeneous and inhomogeneous media upon X-ray radiography. Specifically, the integrating of differential equations for the probability moments of a single photon trajectories is employed. This trajectories are described by stochastic differential equations with Poisson noise. The statistical behaviour of travelling photons can be considered by using the theory of Markovian process with random structure. Absorption and scattering events result in change of structure of the process in the random time moments. Density distribution for the coordinates of photon trajectories is determined by Kolmogorov-Feller's type equations which were solved by the integrating of the differential equations for probability moments. Further, the density distribution photons emitted from a source is given by convolution in time. Using this distribution one can obtain the radiation intensity map in the plane of detector.
Publication Source: Trends in NDE Science & Technology; Proceedings of the 14th World Conference on Non-Destructive Testing, New Delhi, 8-13 December 1996.full paper not received Publisher:Ashgate Publishing Company
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