Relativistic electron beam driven instabilities in the presence of an arbitrarily oriented magnetic field

Bret, A.; Dieckmann, M. E.
June 2008
Physics of Plasmas;Jun2008, Vol. 15 Issue 6, p062102
Academic Journal
The electromagnetic instabilities driven by a relativistic electron beam, which moves through a magnetized plasma, are analyzed with a cold two-fluid model. It allows for any angle θB between the beam velocity vector and the magnetic field vector and considers any orientation of the wavevector in the two-dimensional plane spanned by these two vectors. If the magnetic field is strong, the two-stream instability dominates if θB=0 and the oblique modes grow faster at larger θB. A weaker magnetic field replaces the two-stream modes with oblique modes as the fastest-growing waves. The threshold value separating both magnetic regimes is estimated. A further dimensionless parameter is identified, which determines whether or not the wavevector of the most unstable wave is changed continuously, as θB is varied from 0 to π/2. The fastest growing modes are always found for a transverse propagation of the beam with θB=π/2, irrespective of the magnetic field strength.


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