
Accession Number : AD0256060
Title : DISPERSION RELATIONS IN A STATIONARY PLASMA,
Descriptive Note : Interim rept. no. 3,
Corporate Author : RAYTHEON CO WALTHAM MASS
Personal Author(s) : Tanenbaum,B. S.
Report Date : JAN 1961
Pagination or Media Count : 81
Abstract : Oscillations which are possible within a stationary, homogeneous, fully ionized, macroscopically neutral plasma of infinite extent are examined. In a fieldfree case, the dispersion relations for the longitudinal electron waves, the longitudinal ion waves, and the transverse electromagnetic waves are verified. For a longitudinal applied magnetic field, there are four dispersion relations, each representing a different type of plasma oscillation. Two of these are the same longitudinal electron and ion waves that are possible in the fieldfree case, and the remaining two are ordinary and extraordinary transverse waves which at high frequencies agree with the magnetoionic theory of Appleton, at low frequencies agree with the magnetohydrodynamic theory of Alfven, and at intermediate frequencies have a form which does not agree with either of the earlier theories. With a transverse applied magnetic field, there are four solutions to the dispersion equation. One of these is the ordinary transverse wave of magnetoionic theory, but the remaining three each represent complex coupled oscillations in the plane perpendicular to the applied field. After a great deal of analysis it is shown that one can arrange the solutions in a form such that one type of oscillation is identical to the extraordinary waves in magnetoionic theory, another is quite similar to the longitudinal electron waves in the field free case, and the third coupled oscillation reduce to a longitudinal magnetohydrodynamic wave at low frequencies, an ordinary ionic wave at high frequencies, and a new type of wave at midfrequencies.
Descriptors : *ELECTROMAGNETIC RADIATION, *MAGNETOHYDRODYNAMICS, *PLASMAS(PHYSICS), EQUATIONS, HYDRODYNAMICS, MAGNETIC FIELDS, MATHEMATICAL ANALYSIS, OSCILLATION
Distribution Statement : APPROVED FOR PUBLIC RELEASE