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This article is cited in 1 scientific paper (total 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.
Received: 30.05.2014 Revised: 22.09.2014
Citation:
A. L. Balandin, “Tomography of force-free fields”, Sib. Zh. Vychisl. Mat., 18:3 (2015), 237–253; Num. Anal. Appl., 8:3 (2015), 195–207
Linking options:
https://www.mathnet.ru/eng/sjvm579 https://www.mathnet.ru/eng/sjvm/v18/i3/p237
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