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Higher order resonances in a plasma

Published online by Cambridge University Press:  13 March 2009

G. J. Lewak  and
C. S. Chen
G. J. Lewak
Affiliation:
Department of Applied Electrophysics
C. S. Chen
Affiliation:
Department of Applied Electrophysics
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Abstract

Resonances of a plasma driven into a weakly non-linear régime are investigated by two different models.

(1) A cold plasma driven by an extended wave source is considered. It is found that resonances can occur at fractions as well as multiples of the normal mode resonances. For the fractional resonances the response amplitude grows linearly with time, whereas for the harmonic resonances it grows exponentially with time.

(2) An unmagnetized Vlasov plasma is excited by a two-grid source below the plasma frequency. A resonance is shown to occur when the driving frequency approaches one half the plasma frequency. It is argued that such non-linear resonances may be responsible for the Alouette II observations of resonances at fractions of the plasma frequency.

Type
Research Article
Information
Journal of Plasma Physics , Volume 3 , Issue 3 , September 1969 , pp. 481 - 497
Copyright
Copyright © Cambridge University Press 1969

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References

REFERENCES

Backus, G. 1960 J. Math. Phys. 1, 178.CrossRefGoogle Scholar
Barrington, R. E. & Hartz, T. R. 1968 Science 160, 181CrossRefGoogle Scholar
Barry, J. D., Coleman, P. J., Libby, W. F. & Libby, L. M. 1967 Science 156, 1730.CrossRefGoogle Scholar
Bernstein, I. B. 1958 Phys. Rev. 109, 10.CrossRefGoogle Scholar
Calvert, W. & Goe, G. B. 1963 J. Geophys. Res. 68, 6113.CrossRefGoogle Scholar
Deering, W. D. & Fejer, J. A. 1965 Phys. Fluids 8, 2066.CrossRefGoogle Scholar
Fejer, J. A. & Calvert, W. 1964 J. Geophys. Res. 69, 5049.CrossRefGoogle Scholar
Landau, L. 1946 J. Phys. USSR 10, 25.Google Scholar
Lewak, G. J. 1968 a J. Geophys. Res. 73, 6379.CrossRefGoogle Scholar
Lewak, G. J. 1969 J. Plasma Phys. 3, 243.CrossRefGoogle Scholar
Lockwood, G. E. K. 1963 Can. J. Phys. 41, 190.CrossRefGoogle Scholar
Montgomery, P. & Tidman, P. A. 1964 Plasma Kinetic Theory. McGraw Hill Book Co.Google Scholar
Nuttall, J. 1965 a Phys. Fluids 8, 281.CrossRefGoogle Scholar
Nuttall, J. 1965 b J. Geophys. Res. 70, 1119.CrossRefGoogle Scholar
O'Neil, T. M. & Gould, R. W. 1968 Phys. Fluids 11, 134.CrossRefGoogle Scholar
Pomeau, Y. 1967 Phys. Fluids 10, 2695.CrossRefGoogle Scholar
Sandri, G. 1963 Ann. Phys. 24, 332.CrossRefGoogle Scholar
Sturrock, P. 1965 Phys. Fluids 8, 88.CrossRefGoogle Scholar