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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2015 Volume 18, Number 3, Pages 237–253 (Mi sjvm579)

This article is cited in 1 paper

Tomography of force-free fields

A. L. Balandin

Institute of Systems Dynamics and Control Theory, 134 Lermontov str., Irkutsk, 664033, Russia

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.

Key words: computerized tomography, spherical harmonics, inverse problems.

UDC: 514.7+517.98+519.61

Received: 30.05.2014
Revised: 22.09.2014

DOI: 10.15372/SJNM20150301


 English version:
Numerical Analysis and Applications, 2015, 8:3, 195–207

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