Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-26T00:57:02.574Z Has data issue: false hasContentIssue false
  • English
  • Français

Self-consistent treatment of cyclotron resonances in inhomogeneous plasmas

Published online by Cambridge University Press:  13 March 2009

B. M. Harvey  and
E. W. Laing
B. M. Harvey
Affiliation:
Department of Mathematical Sciences, St Andrews University, St Andrews KYI6 9SS, Scotland
E. W. Laing
Affiliation:
Department of Physics and Astronomy, Glasgow University, Glasgow G 12 8QQ, Scotland
Get access Rights & Permissions [Opens in a new window]

Abstract

The wave differential operator is obtained directly from the perturbed Vlasov equation for an inhomogeneous equilibrium magnetic field including consistently the effects of strong wave damping and linear mode conversion. In the process, conditions on the parallel wavenumber and the magnetic-field gradient for which such a method is valid are obtained. From these equations it is shown that the inclusion of parameter-gradient terms arising from the spatial dependence of the equilibrium magnetic field is important for accurate calculation of mode conversion from fast to ion-Bernstein wave, although the dispersion-relation-based operator can be sufficient to describe transmission and reflection of the fast wave. Finally, the coupled second-order equations used by Fuchs & Bers (1988) are obtained, allowing direct identification of the ‘modes’ referred to in that paper in terms of components of the electric field. By reconciling these two different approaches, some insight is gained into the mode-conversion process.

Type
Research Article
Information
Journal of Plasma Physics , Volume 43 , Issue 1 , February 1990 , pp. 151 - 163
Copyright
Copyright © Cambridge University Press 1990

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

Cairns, R. A. & Lashmore-Davies, C. N. 1983 Phys. Fluids, 26, 1268.CrossRefGoogle Scholar
Fuchs, V. & Bers, A. 1988 Phys. Fluids, 31, 3702.Google Scholar
Harvey, B. M. 1988 Ph.D. thesis, Glasgow University.Google Scholar
Lashmore-Davies, C. N., Fuchs, V., Gauthier, L., Francis, G., Ram, A. K. & Bers, A. 1987 Proceedings of International Conference on Plasma Physics, Kiev, U.S.S.R.Google Scholar
Romero, H. & Scharer, J. 1987 Nucl. Fusion, 27, 363.CrossRefGoogle Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. McGraw-Hill.Google Scholar
Swanson, D. G. 1981 Phys. Fluids, 24, 2035.CrossRefGoogle Scholar
Swanson, D. G. 1985 Phys. Fluids, 28, 2645.CrossRefGoogle Scholar