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Dispersion Relation in Compressible Plasma
Author(s) -
Wu Yung-Kuang
Publication year - 1967
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds1967291019
Subject(s) - dispersion relation , mathematical analysis , compressibility , dispersion (optics) , plasma , mathematics , eulerian path , euler's formula , physics , isotropy , euler equations , mechanics , optics , quantum mechanics , lagrangian
The Maxwell‐Euler equations are reformulated through linear operator and generalized transform techniques into an equivalent matrix integral equation. The dispersion relation is obtained from the kernel of this integral equation for a homogeneous, anistropic, and compressible electron‐fluid plasma. Some illuminating graphs showing the propagation constants as functions of the normalized plasma frequency are developed analytically to study the dispersion relation. These kinds of graphs are usually plotted from the limited amount of numerical data available in the literature (e.g., Ginzburg, 1961). Clemmow‐Mullaly‐Allis type of diagram for the compressible plasma is sketched from these graphs. Actually, dispersion curves are obtained which are inversely related to the wave normal surfaces calculated by Allis, Buchsbaum and Bers (1963). A proper terminology for the three types of waves involved in an electron plasma is also introduced.