Electromagnetic two‐stream and filamentation instabilities for a relativistic beam–plasma system

Previous investigations on the two‐stream and filamentation instabilities are based on either the electrostatic or the ordinary‐mode approximation. A general relativistic dispersion formulation is presented to study these two instabilities for a scattered electron beam propagating a collisional, bi‐...

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Veröffentlicht in:Phys. Fluids; (United States) 1983-09, Vol.26 (9), p.2707-2716
Hauptverfasser: Lee, Huan, Thode, Lester E.
Format: Artikel
Sprache:eng
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Zusammenfassung:Previous investigations on the two‐stream and filamentation instabilities are based on either the electrostatic or the ordinary‐mode approximation. A general relativistic dispersion formulation is presented to study these two instabilities for a scattered electron beam propagating a collisional, bi‐Maxwellian plasma. New analytical results that apply to a general beam distribution are obtained for the stability boundary of the filamentation instability. The general dispersion relation uncovers the inadequacy in applying the ordinary‐mode approximation in a frame other than the rest frame of the plasma. Analytical expressions for the the growth rates of the filamentation modes in various parameter regimes are obtained. Finally, numerical comparisons are made between the general dispersion results and the earlier results based on the electrostatic and ordinary‐mode approximations.
ISSN:0031-9171
2163-4998
DOI:10.1063/1.864465