VECTOR AND SCALAR TOMOGRAPHY ON FUSION PLASMAS USING HAMILTONIAN AND VARIATIONAL-METHODS

A method is presented to obtain tomographic inversions of line-integra ted measurements in magnetized plasmas, both for the cases of scalar a nd vector fields. For the Hamiltonian how of the magnetic field in tok amaks the vector tomographic problem can be reduced to a scalar one. I n many fusion experiments the amount of measured data is insufficient to allow an inversion without further assumptions. We present a variat ional method, where such assumptions can easily be implemented by the use of constraints. We outline the procedures using the example of obt aining the Psi function on tokamaks from Faraday rotation measurements .