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Penetration to second order of an electrostatic field into a warm plasma

Published online by Cambridge University Press:  13 March 2009

E. M. Zawadzki  and
G. J. Lewak
E. M. Zawadzki
Affiliation:
Department of Applied Physics and Information Science
G. J. Lewak
Affiliation:
Department of Applied Physics and Information Science
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Abstract

Using a reformulation of ordinary perturbation theory to first and second order, explicit solutions for the penetration of electrostatic waves into a semi-infinite Vlasov plasma are presented. Two types of electron velocity distribution are used, the uniform step (‘water-bag’ model) and the Maxwellian. The existence of propagating modes below the plasma frequency, behaviour of the second harmonic field and the formation of a narrow sheet of electrons near the bounding wall are displayed. Replacement of boundary fields with equivalent charge and current sources is discussed.

Type
Articles
Information
Journal of Plasma Physics , Volume 5 , Issue 1 , January 1971 , pp. 73 - 87
Copyright
Copyright © Cambridge University Press 1971

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References

REFERENCES

Cohen, M. H. 1962 Phys. Rev. 126, 389.CrossRefGoogle Scholar
Comstock, C. 1966 Phys. Fluids 9, 1514.CrossRefGoogle Scholar
Derfler, H. & Simonen, T. C. 1969 Phys. Fluids 12, 269.CrossRefGoogle Scholar
Drummond, W. E. 1963 Rev. Sci. Instrum. 34, 779.CrossRefGoogle Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. New York: Academic Press.Google Scholar
Landau, L. 1946 J. Phys. USSR 10, 25.Google Scholar
Lewak, G. J. 1969 J. Plasma Phys. 3, 243.CrossRefGoogle Scholar
Montgomery, D. 1963 Phys. Fluids 6, 1109.CrossRefGoogle Scholar
Shafranov, V. D. 1958 Soviet Phys. JETP 34, 1019.Google Scholar
Taylor, E. C. 1965 Radio Sci., J. Res. NBS 69D, 735.Google Scholar
Taylor, E. C. 1967 Phys. Fluids 10, 1121.CrossRefGoogle Scholar