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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 2, Pages 131–143 (Mi sjvm10)  
Vector spherical harmonics in 3-D vector tomography

A. L. Balandin

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
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Abstract: A method of series expansion with the aid of vector spherical harmonics intended for inverting line integrated experimental (Doppler) data is proposed to investigate the 3-D vector fields in laboratory plasmas in spherical tokamak devices. A number of numerical computations demonstrating the 3-D reconstruction of the model vector fields have been performed to assess the inversion method proposed.
Key words: tomography, X-ray transform, vector spherical harmonics.
Received: 07.11.2006
Revised: 18.09.2008
English version:
Numerical Analysis and Applications, 2009, Volume 2, Issue 2, Pages 106–117
DOI: https://doi.org/10.1134/S1995423909020025
Bibliographic databases:
UDC: 514.7+517.98+519.61
Language: Russian
Citation: A. L. Balandin, “Vector spherical harmonics in 3-D vector tomography”, Sib. Zh. Vychisl. Mat., 12:2 (2009), 131–143; Num. Anal. Appl., 2:2 (2009), 106–117
Citation in format AMSBIB
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\by A.~L.~Balandin
\paper Vector spherical harmonics in~3-D vector tomography
\jour Sib. Zh. Vychisl. Mat.
\yr 2009
\vol 12
\issue 2
\pages 131--143
\mathnet{http://mi.mathnet.ru/sjvm10}
\transl
\jour Num. Anal. Appl.
\yr 2009
\vol 2
\issue 2
\pages 106--117
\crossref{https://doi.org/10.1134/S1995423909020025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67650355527}
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