scholarly journals Comment on ‘‘Dispersion relation for a relativistic electron beam in a plasma’’ [Phys. Fluids 26, 2271(1983)]

1984 ◽  
Vol 27 (8) ◽  
pp. 2194 ◽  
Author(s):  
Magdi Shoucri
1984 ◽  
Vol 32 (1) ◽  
pp. 55-80 ◽  
Author(s):  
Z. G. An ◽  
Y. C. Lee ◽  
T. T. Lee ◽  
H. H. Chen

Electromagnetic cyclotron instabilities of a relativistic electron beam propagating in an external magnetic field are studied by considering electron motion inside a self-consistent electromagnetic field. When the number of electrons in a subgroup is greater than two, or when the phases are random, the linear dispersion relation obtained agrees with that of Chu et al. for a gyrotron in a ring model. When the number of electrons in a subgroup is limited to two only, the linear dispersion relation is different in that it has an instability threshold. Completely nonlinear motion is also studied using the method of Poincaré's return map, or by considering the departure rate of nearby trajectories. Stochasticity is observed in the nonlinear oscillation of the wave-particle system when a critical energy is exceeded. Physical implications for gyrotron operation are also discussed.


1980 ◽  
Vol 24 (3) ◽  
pp. 483-488 ◽  
Author(s):  
Toshio Okada ◽  
Keishiro Niu

The electromagnetic instability of a relativistic electron beam penetrating an infinite plasma is analyzed. The purpose of this paper is to determine the effect of collisions within the plasma upon the growth rate of the Weibel-type electromagnetic instability. The dispersion relation including the effect of collisions is solved analytically and numerically. It is found that collisions can enhance the growth rate of the electromagnetic instability in the case of low plasma temperature.


2015 ◽  
Vol 135 (6) ◽  
pp. 355-356 ◽  
Author(s):  
Takahiro Kazetoh ◽  
Kazumasa Takahashi ◽  
Toru Sasaki ◽  
Takashi Kikuchi ◽  
Nob. Harada ◽  
...  

1990 ◽  
Author(s):  
J. D. Miller ◽  
R. F. Schneider ◽  
H. S. Uhm ◽  
K. T. Nguyen ◽  
K. W. Struve

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