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Microscopic Lagrangian description of warm plasmas. I - Linear wave propagation. II - Nonlinear wave interactionsIt is pointed out that the conventional iterative analysis of nonlinear plasma wave phenomena, which involves a direct use of Maxwell's equations and the equations describing the particle dynamics, leads to formidable theoretical and algebraic complexities, especially for warm plasmas. As an effective alternative, the Lagrangian method may be applied. It is shown how this method may be used in the microscopic description of small-signal wave propagation and in the study of nonlinear wave interactions. The linear theory is developed for an infinite, homogeneous, collisionless, warm magnetoplasma. A summary is presented of a perturbation expansion scheme described by Galloway and Kim (1971), and Lagrangians to third order in perturbation are considered. Attention is given to the averaged-Lagrangian density, the action-transfer and coupled-mode equations, and the general solution of the coupled-mode equations.
Document ID
19780037977
Document Type
Reprint (Version printed in journal)
Authors
Kim, H. (Stanford Univ. CA, United States)
Crawford, F. W. (Stanford University Stanford, Calif., United States)
Date Acquired
August 9, 2013
Publication Date
December 1, 1977
Publication Information
Publication: Radio Science
Volume: 12
Subject Category
PLASMA PHYSICS
Funding Number(s)
CONTRACT_GRANT: NGL-05-020-176
Distribution Limits
Public
Copyright
Other