Stability of hybrid modes of a single-component electron plasma containing an admixture of background gas ions

Trivelpise-Gould Modes of Waveguide Partially Filled With Neutral or Non-Neutral Plasma

“…The solutions define four families of electronic modes: "fast" (FLH) and "slow" (SLH) lower hybrid modes and "fast" (FUH) and "slow" (SUH) upper hybrid modes. In [6,7], the dependences of the frequencies of these modes on the parameter 22 2 pe ce q    .…”

“…where ν 2 ≡ω' 2 -Ω e 2 . When the waveguide is uniformly filled with electrons and ions, the combination E r /r, frequency Ω e and other frequencies in ( 5), (7) do not depend on the radius r.…”

Trivelpiece-Gould Modes of Waveguide Partially Filled With Non-Neutral Plasma. Part 2

“…As it is clearly seen from Fig. 1, the frequencies of the upper hybrid modes of the SUH and FUH families with an azimuth number m=+1 do not fall into the area of low (ion) frequencies and do not cross zero frequency for any values of the neutralization coefficient 0≤f≤1.This was also the case when the wave-guide was completely filled with non-neutral plasma [2,3]. The frequencies of the SUH mode are closest to zero at q=q max and f=0 (see Fig.…”

“…All radial modes of the SLH family fall into the area of low (ion) frequencies and reach zero frequency (see Fig. 1), just as it was in the case of waveguide completely filled with plasma [2,3]. Long-wavelength modes (k z R p << 1) fall into the low-frequency area at small values of q (q<<1).…”

“…However, when k z R p →0 (and fixed q≠0) the frequency of mode "1" ω 1 does not tend to mω e rot , as do the frequencies of all modes of the SLH family. The frequency ω 1 tends to the value determined by (3).…”