Title page for ETD etd-04072010-020350
|Type of Document
||Arthur, Michael D.
||Oscillations and waves in anisotropic plasmas
|Zweifel, Paul F.
|Bowden, Robert L.
|Garbanati, Linda F.
|Zia, Royce K. P.
|Date of Defense
We have carried out the resolvent integration technique in its
application to longitudinal plasma waves and oscillations and transverse
plasma oscillations. It was seen that the operators treated
have continuous spectra consisting of the real line as well as point
spectra associated with the zeros of the appropriate plasma dispersion
function. Out treatment of the dispersion function with a more general,
non-even equibrium distribution function, F (hence valid for anisotropic
plasmas), has led to the possibility of more plasma modes than
had previously been considered. The techniques we employed make it
much easier to calculate the expansion coefficients for these plasma
modes associated with both real and complex zeros of the appropriate
plasma dispersion function. In fact, our computation of the·expansion
coefficients for plasma modes corresponding to simple real zeros of the
longitudinal, fixed wave number plasma dispersion function replaces
previous such calculations based on the van Kampen-Case generalized
eigenfunction expansion technique which were found to be in error.
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