Regular Articles

Full Text / References

Theory of Diamagnetic Signal in Current-Free Stellarators

Vladimir D. PUSTOVITOV

National Institute for Fusion Science, 322-6 Oroshi, Toki 509-5292, Japan

(Received 4 December 2009 / Accepted 1 March 2010 / Published 10 December 2010)

Abstract

The toroidal magnetic flux through the plasma column is calculated analytically for current-free stellarators of arbitrary geometry without assumptions on the plasma shape, aspect ratio, etc. This is done with accuracy sufficient for extracting the contribution due to the finite plasma pressure from this flux. The final result is a formula relating the measured diamagnetic signal with β, the ratio of the plasma pressure to the magnetic pressure. This formula is obtained assuming small β and the relative depth of the magnetic well. These are natural conditions for stellarators, therefore the final result can be recommended for magnetic diagnostics without practical limitations.

Copyright (c) 2010 The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

stellarator, magnetic diagnostics, diamagnetic signal, plasma equilibrium, current-free plasma

DOI: 10.1585/pfr.5.S2054

Full Text

PDF format ( 73Kbytes)

References

• [1] I.H. Hutchinson, Principles of plasma diagnostics (Cambridge University Press, New York, 1987).
• [2] D.V. Orlinskij and G. Magyar, Nucl. Fusion 28, 611 (1988).
• [3] S. Besshou et al., Phys. Plasmas 5, 481 (1998).
• [4] T. Yamaguchi et al., Nucl. Fusion 45, L33 (2005).
• [5] E.J. Strait, Rev. Sci. Instrum. 77, 023502 (2006).
• [6] S.I. Braginskii and V.D. Shafranov, Plasma Physics and Problem of Controlled Thermonuclear Reactions ed. M. A. Leontovich (Pergamon, New York, 1959), Vol. 2, p. 39.
• [7] V.S. Mukhovatov and V.D. Shafranov, Nucl. Fusion 11, 605 (1971).
• [8] E.D. Andryukhina and O.I. Fedyanin, Sov. J. Plasma Phys. 3, 447 (1977).
• [9] S. Besshou et al., Nucl. Fusion 26, 1339 (1986).
• [10] Yu.V. Gutarev et al., Sov. J. Plasma Phys. 14, 164 (1988).
• [11] V.D. Pustovitov, Sov. J. Plasma Phys. 8, 18 (1982).
• [12] V.D. Pustovitov and V.D. Shafranov, Reviews of Plasma Physics, ed. B.B. Kadomtsev (New York, Consultants Bureau, 1990) Vol. 15, p. 163.
• [13] V.D. Pustovitov, J. Plasma Fus. Res. 69, 34 (1993).
• [14] K. Ichiguchi, N. Nakajima and H.J. Gardner, Nucl. Fusion 36, 1157 (1996).
• [15] J. Nührenberg and R. Zille, Phys. Lett. A 129, 113 (1988).
• [16] P.R. Garabedian, Phys. Plasmas 9, 137 (2002).
• [17] C. Beidler et al., Fusion Technol. 17, 148 (1990).
• [18] C. Alejaldre et al., Plasma Phys. Control. Fusion 41, A539 (1999).
• [19] F.S.B. Anderson et al., Fusion Technol. 27, 273 (1995).
• [20] T. Obiki et al., Plasma Phys. Control. Fusion 42, 1151 (2000).
• [21] S. Okamura et al., Nucl. Fusion 41, 1865 (2001).
• [22] M.C. Zarnstorff et al., Plasma Phys. Control. Fusion 43, A237 (2001).
• [23] V.D. Pustovitov, Reviews of Plasma Physics, eds. B.B. Kadomtsev and V.D. Shafranov (New York, Consultants Bureau, 2000), Vol. 21, p. 1.
• [24] S. Sakakibara et al., Plasma Phys. Control. Fusion 50, 124014 (2008).
• [25] A. Komori et al., Nucl. Fusion 49, 104015 (2009).
• [26] A. Iiyoshi et al., Fusion Technol. 17, 169 (1990).
• [27] V. Mukhovatov et al., Nucl. Fusion 47, S404 (2007).
• [28] B.A. Carreras et al., Nucl. Fusion 28, 1613 (1988).
• [29] K. Ichiguchi et al., Nucl. Fusion 33, 481 (1993).
• [30] T. Matsumoto, Y. Nakamura and M. Wakatani, Nucl. Fusion 36, 1571 (1996).
• [31] S. Besshou et al., Rev. Sci. Instrum. 72, 3859 (2001).

This paper may be cited as follows:

Vladimir D. PUSTOVITOV, Plasma Fusion Res. 5, S2054 (2010).