Title :
Landau Growth for Students Part I Initial Valuie Problem
Author :
Alexeff, Igor ; Barnett, Larry R. ; Barrero, Alejandro ; Akingbehin, Kiumi
Author_Institution :
The University of Tennessee Hayley Shen and Karl Lonngren University of Iowa
fDate :
3/1/1976 12:00:00 AM
Abstract :
This paper is internded to demonstrate to students that electron Landau growth of plasma waves is an easily understood and computed phenomenon. This derivation does not use the usual Fourier-Laplace transform technique with the inversion and final result being obtained by contour integration and residue theory. Instead, a simple treatment, following the original work of Vlasov, is used. Landau´s original solution is recovered both for growth and decay, but only the growing part rigorously satisfies the initial assumptions.
Keywords :
Damping; Dispersion; Education; Electrons; Frequency; Integral equations; Laplace equations; Maxwell equations; Plasma density; Plasma waves;
Journal_Title :
Plasma Science, IEEE Transactions on
DOI :
10.1109/TPS.1976.4316926