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Transformation approximation for the plasma dispersion function and application to electrostatic waves

Published online by Cambridge University Press:  13 March 2009

Masumi Sato
Masumi Sato
Affiliation:
Department of Electrical Engineering, Yamagata University, Yonezawa 992, Japan
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Abstract

Simple algebraic approximations for the plasma dispersion function Z(s) and its derivative are obtained by the Aitken's Δ2 or Shanks transformation. Using the approximate function Z'(s), higher-order dispersion relations for the electron wave and ion-acoustic wave are derived.

Type
Research Article
Information
Journal of Plasma Physics , Volume 31 , Issue 2 , April 1984 , pp. 325 - 331
Copyright
Copyright © Cambridge University Press 1984

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References

REFERENCES

Feix, M. 1969 Nonlinear Effects in Plasmas (ed. Kalman, G. and Feix, M.). Gordon & Breach.Google Scholar
Franklin, R. N. 1976 Plasma Phenomena in Gas Discharges. Oxford University Press.Google Scholar
Fried, B. & Conte, S. 1961 The Plasma Dispersion Function. Academic.Google Scholar
Fried, B., Hedrick, C. L. & McCune, J. 1968 Phys. Fluids, 11, 249.CrossRefGoogle Scholar
Hershkowitz, N. & Lamm, A. J. 1980 IEEE Trans. Plasma Sci. PS-8, 275.CrossRefGoogle Scholar
Martín, P. & Donoso, G. 1980 J. Math. Phys. 21, 280.CrossRefGoogle Scholar
Németh, G., Áo, Á. & Páris, G. 1981 J. Math. Phys. 22, 1192.CrossRefGoogle Scholar
Rönnmahk, K. 1983 Plasma Phys. 25, 699.CrossRefGoogle Scholar
Shanks, D. 1955 J. Math. Phys. 34, 1.CrossRefGoogle Scholar
Smith, D. A. & Ford, W. F. 1979 SIAM J. Numer. Anal. 6, 223.CrossRefGoogle Scholar