抄録
This paper presents a new tomographic reconstruction algorithm for an annular cross section of toroidal plasma. The expansion consists of Fourier series in the azimuthal direction and Bessel and Neumann functions in the radial direction which satisfy boundary conditions both on the center coil section wall and on the vessel wall. The expansion coefficients are determined by the least-squares fitting method. The reliability of this algorithm is evaluated by use of numerical simulations. Since the normal equation is numerically close to singular, singular value decomposition is more suitable for finding the least-squares solutions as opposed to the direct solution of the normal equation. The error sensitivity estimation using Monte Carlo simulation reveals that the projection signal error appears mainly on the coefficients of the higher modes. This method becomes less sensitive to the projection signal error by weighting the axisymmetric mode.
