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

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.

Information

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

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