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Numerical Analysis and Applications

2015 year, number 3

Tomography of force-free fields

Alexander Leonidovich Balandin
Institute of Systems Dynamics and Control Theory, Lermontov str. 134, Irkutsk-33, Russia, 664033
Keywords: computerized tomography, spherical harmonics, inverse problems

Abstract

In order to investigate the force-free fields it is proposed to use the computerized tomography methods. For the inversion of the ray transformation, the method of multipole fields expansion has been developed. This method is based on the expansion of a vector field and the ray transformation over the special basis of vector-functions. Analytical expressions for the ray transform of the basis vector-functions and the results of computer simulation are given.