In this article, a new way is explored, which uses the method of image reconstruction from the projection based on the theory of random transformation, to determine simultaneously the magnetic configuration and 2-D distribution of physical quantities of non-circular cross-section plasma from the diagonostic results. Assuming that the distributions of the physical quantities only depends on the magnetic surface function and all the surfaces are similarly concentric, we have proposed three methods of treatment. For D-shaped plasma, the analytical treatment and numerical simulation have been discussed in detail. An example of determination of magnetic configuration and electron temperature and density from soft X-ray and microwave interference measurements has been demonstrated.
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