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

Sib. Zh. Vychisl. Mat., 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

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.

UDC: 514.7+517.98+519.61

Received: 07.11.2006
Revised: 18.09.2008


 English version:
Numerical Analysis and Applications, 2009, 2:2, 106–117

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