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
J R Smith et al 2006 Class. Quantum Grav. 23 527
Sukanta Bose 2002 Class. Quantum Grav. 19 1437
B A Unvala and R C S Morling 1974 J. Phys. E: Sci. Instrum. 7 968
D C Jain et al 1981 J. Phys. D: Appl. Phys. 14 L5
V V Kryzhniy 2003 Inverse Problems 19 1227
D S Stark and M R Harris 1988 J. Phys. E: Sci. Instrum. 21 715
A Bouhemadou and R Khenata 2007 Modelling Simul. Mater. Sci. Eng. 15 787
D J Wayne and Anne R Chamney 1969 Phys. Med. Biol. 14 9
L P Kadanoff and M Kleine Berkenbusch 2005 Nonlinearity 18 937