G Fuchs and V Pickalov 1998 Plasma Phys. Control. Fusion 40 91 doi:10.1088/0741-3335/40/1/004
G Fuchs
and V Pickalov![]()
A method is presented to obtain tomographic inversions of line-integrated measurements in magnetized plasmas, both for the cases of scalar and vector fields. For the Hamiltonian flow of the magnetic field in tokamaks the vector tomographic problem can be reduced to a scalar one. In many fusion experiments the amount of measured data is insufficient to allow an inversion without further assumptions. We present a variational method, where such assumptions can easily be implemented by the use of constraints. We outline the procedures using the example of obtaining the
function on tokamaks from Faraday rotation measurements.
Issue 1 (January 1998)
Received 25 March 1997, in final form 17 October 1997
G Fuchs and V Pickalov 1998 Plasma Phys. Control. Fusion 40 91
R A Brooker 1955 Br. J. Appl. Phys. 6 307
P D Jarman and K J Taylor 1964 Br. J. Appl. Phys. 15 321
N Ryde and B Andersson 1955 Proc. Phys. Soc. B 68 1117
Iu M Ado and V V Elian 1961 J. Nucl. Energy, Part C Plasma Phys. 3 213
R Morrell 1984 Physics in Technology 15 252
J Gomez-Camacho and R C Johnson 1986 J. Phys. G: Nucl. Phys. 12 L235
S Sh Ameev and V L Shmonin 1984 J. Phys. G: Nucl. Phys. 10 1311
S K Kulshreshtha and P Raj 1979 J. Phys. F: Met. Phys. 9 2253
J Kubler et al 1988 J. Phys. F: Met. Phys. 18 469