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Linearized theory of inhomogeneous multiple ‘water-bag’ plasmas

Published online by Cambridge University Press:  13 March 2009

H. W. Bloomberg  and
H. L. Berk
H. W. Bloomberg
Affiliation:
Department of Physics, College of William and Mary, Williamsburg, Virginia
H. L. Berk
Affiliation:
Lawrence Livermore Laboratory, University of California, Livermore
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Abstract

The problem of the stability of inhomogeneous, electrostatic, multiple water-bag plasmas is considered. Equations are derived for general stationary water-bag equilibria, as well as for the corresponding perturbations. Particular attention is directed to systems with trapped particles in periodic equilibria, and special boundary conditions for the perturbation equations at the trapped-particle turning points are introduced. A normal-mode analysis is carried out for a configuration involving trapped particles occupying a finite region in the vicinity of the trough of an equilibrium wave (BGK mode). The results confirm the validity of the bunched-beam approximation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 9 , Issue 2 , April 1973 , pp. 235 - 247
Copyright
Copyright © Cambridge University Press 1973

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References

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