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Direct computation of the growth rate for the instability of a warm relativistic electron beam in a cold magnetized plasma
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10.1063/1.3143707
/content/aip/journal/pop/16/6/10.1063/1.3143707
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/6/10.1063/1.3143707
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Growth rate maps in the -space for magnetic fields of various strength.

Image of FIG. 2.
FIG. 2.

(a) Natural modes of the cold plasma and several beam modes for and oblique wave propagation (the angle between and is 10°); (b) lines of mode intersections in the -space (dash lines) superimposed on the instability map. Small circles at the two figures denote corresponding waves.

Image of FIG. 3.
FIG. 3.

(a) Exact and hydrodynamic [Eq. (3)] growth rates as functions of for purely longitudinal wave propagation. (b) Exact and hydrodynamic [Eqs. (4) and (5)] growth rates, maximized in , as functions of the wave propagation angle for the modes and at .

Image of FIG. 4.
FIG. 4.

Effect of the magnetic field on the angular dependence of the maximum growth rate (determined by either or mode): (a) hydrodynamic approximation and (b) exact solution of Eq. (1).

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/content/aip/journal/pop/16/6/10.1063/1.3143707
2009-06-02
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Direct computation of the growth rate for the instability of a warm relativistic electron beam in a cold magnetized plasma
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/6/10.1063/1.3143707
10.1063/1.3143707
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