[Table of Contents]

Plasma and Fusion Research

Volume 2, S1074 (2007)

Regular Articles


A Method for Reconstruction of the Neutral Particle Source Function in Helical Magnetically Confined Plasma
P. R. GONCHAROV, T. OZAKI, E. A. VESHCHEV1) and S. SUDO
National Institute for Fusion Science, Toki 509-5292, Japan
1)
Graduate University for Advanced Studies, Hayama 240-0193, Japan
(Received 4 December 2006 / Accepted 26 March 2007 / Published 20 November 2007)

Abstract

A numerical method is described that can be used to estimate the source of neutral particles within a helical plasma column as a function of the magnetic surface. The method is applicable to the data analysis of passive line-integral diagnostics of escaping neutrals. The magnetic surface structure taken from magnetohydrodynamic equilibrium calculations defines the kernel of the integral equation. A regularized solution is obtained over a discrete grid by minimizing the appropriate objective functional. The corresponding linear system is solved in terms of least squares using QR algorithm. The application is discussed to one particular charge-exchange diagnostic on the Large Helical Device and the model profile reconstruction examples are presented.


Keywords

neutral particle diagnostic, line-integral measurement, helical plasma, non-circular isoline, regularization, ion distribution function

DOI: 10.1585/pfr.2.S1074


References

  • [1] P.R. Goncharov, J.F. Lyon et al., J. Plasma Fusion Res. Series 6, 314 (2004).
  • [2] E.A. Veshchev, T. Ozaki et al., Rev. Sci. Instrum. 77, 10F129 (2006).
  • [3] E.A. Veshchev, P.R. Goncharov et al., Rev. Sci. Instrum. 77, 10F116 (2006).
  • [4] V.V. Pickalov and T.S. Melnikova, Plasma Tomography (Nauka, Novosibirsk, 1995).
  • [5] A.N. Tikhonov and V.A. Arsenin, Solution of Ill-posed Problems (Winston & Sons, Washington, 1977).
  • [6] V.A. Morozov, Methods for solving incorrectly posed problems (Springer-Verlag, Berlin, 1984).
  • [7] P.K. Lamm and L. Eldén, SIAM J. Numerical Analysis 34, 1432 (1997).
  • [8] G. Golub and C. Loan, Matrix Computations (The Johns Hopkins University Press, Baltimore, 1996).
  • [9] J.F. Lyon et al., Rev. Sci. Instrum. 74, 1873 (2003).

This paper may be cited as follows:

P. R. GONCHAROV, T. OZAKI, E. A. VESHCHEV and S. SUDO, Plasma Fusion Res. 2, S1074 (2007).