Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-26T00:27:09.490Z Has data issue: false hasContentIssue false
  • English
  • Français

Low-frequency heating of doublets

Published online by Cambridge University Press:  13 March 2009

T. H. Jensen ,
F. W. McClain  and
H. Grad
T. H. Jensen
Affiliation:
General Atomic Company, P. O. Box 81608, San Diego, California 92138 USA
F. W. McClain
Affiliation:
General Atomic Company, P. O. Box 81608, San Diego, California 92138 USA
H. Grad
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, N.Y. 10012 USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Heating of a doublet plasma by driving an axisymmetric mode at low frequency may be an attractive means for auxiliary heating. The attractiveness of the method stems from (1) the low technology required for low-frequency power sources, (2) the fact that the field-shaping coils required for doublets may also be used as the antennae for transmitting the power, (3) the possibility of transmitting the power through a resistive vacuum wall, (4) the insensitivity to the plasma temperature and density and (5) the relative simplicity of the physical model. The utility of the concept depends on the existence of a special axisymmetric eigenmode in the resistive M.HD approximation which is used. This mode has nodes through the elliptic axes of the doublet equilibrium and an antinode at the hyperbolic axis. It is remarkable that the dissipation per cycle of this mode remains large at low plasma resistivity. This paper describes a linear theory for such heating.

Type
Research Article
Information
Journal of Plasma Physics , Volume 25 , Issue 1 , February 1981 , pp. 133 - 143
Copyright
Copyright © Cambridge University Press 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Callis, R. W. 1976 General Atomic Report GA-A13996.Google Scholar
Cannobbio, E. 1977 Proceedings of 8th European Conference on Controlled Fusion and Plasma Physics, Prague, vol. 1, p. 161.Google Scholar
Dungey, J. W. 1958 Cosmic Electrodynamics. Cambridge University Press.Google Scholar
Furth, H. P., Killeen, J. & Rosenbluth, M. N. 1963 Phys. Fluids, 6, 459.Google Scholar
Grad, H., Hu, P. N., Stevens, D. C. & Turkel, E. 1976 IAEA Proceedings, Berchtesgaden, vol. 2, p. 355.Google Scholar
Jensen, T. H. 1976 Bull. Am. Phys. Soc. 21, 1054.Google Scholar
Jensen, T. H. & Troson, W. B. 1978 J. Plasma Phys. 19, 227.Google Scholar
Jensen, T. H. & McClain, F. W. 1978 J. Plasma Phys. 20, 61.CrossRefGoogle Scholar
Shafranov, V. D. 1979 Nucl. Fusion, 19, 187.Google Scholar
Stevens, D. C., Grad, H. & Hu, P. N. 1974 Bull. Am. Phys. Soc. 19, 865.Google Scholar
Von, Mises R. & Geiringer, H. 1929 Z. Angew. Mat. Mech. 9, 152.Google Scholar