학술논문

Dispersion Relations in a Stationary Plasma
Document Type
Journal Article
Author
Source
Physics of Fluids (New York); 4; 10; Other Information: Orig. Receipt Date: 31-DEC-61
Subject
PHYSICS DISPERSIONS
ELECTROMAGNETIC WAVES
ELECTRONS
FLUID FLOW
IONIZATION
IONS
MAGNETIC FIELDS
OSCILLATIONS
PLASMA
Language
English
ISSN
0031-9171
Abstract
The two-fluid theory for a fully ionized, macroscopically neutral plasma is used to examine small-amplitude normal mode oscillations in an infinite, homogeneous medium for three cases: no applied magnetic field; a magnetic field in the direction of wave propagation; and a magnetic field perpendicular to the direction of wave propagation. In the field-free case, which was treated in a similar way by Pai, the dispersion relations for the three simplest types of plasma oscillations - longitudinal electron waves, longitudinal ion waves, and transverse waves - are verified and the properties of each of these waves are described. In the second and third cases, the influence of an applied magnetic field on the normal mode solutions is studied and the results of this complete two-fluid theory are compared with analogous results obtained in the simpler theories of Appleton (magneto-ionic theory) and of Alfven (magnetohydrodynamics).