A dispersion relation for transverse plasma waves propagating along a uiform external magnetic field is obtained in the form of an algebric equation, for an anisotropic velocity distribution.
[{(ω/ω
p)
2- (kc/ω
p)
2} · {ω/ω
p±Ω/ω
p} -ω/ω
p] × [ω/ω
p±Ω/ω
p] =1/2 (ο
⊥/c)
2 (kc/ω
p)
2,
where ω
p is the plasma frequency, Ω the cyclotron frequency, and ο
2⊥=2kT
⊥/m.
When the range of vainable kc/ω
p and parameters σ
⊥/ c, , Ω/ω
p is taken such that kc/ω
p = 0, 0.5, …, 9.5, 10,
σ
⊥/c = 2
n×10
-1; n= 0, -1, …, -7, -8, -∞,
Ω/ω
p= 2
n; n=4, 3, …, 0, …, -7, -8, -∞
the dispersion relation is solved by the use of the digital computer (HIPAC-103). For the right-handed circularly polarized waves, the dispersion curves are described and the stable region of transverse waves are determined for several parameters. The dispersion curves consist of two modes of electromagnetic waves, and of modes of growing and damped waves which oscillate in cyclotron frequency. In the absence of the external magnetic field, the growing waves with cyclotron frequency become spontaneously growing waves which was obtained by E.S. Weibel.
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