Electromagnetic instability and stopping power of plasma for relativistic electron beams

1980 ◽  
Vol 23 (3) ◽  
pp. 423-432 ◽  
Author(s):  
Toshio Okada ◽  
Keishiro Niu

The stopping power of a plasma for a relativistic electron beam (REB) is derived by taking a Weibel-type electromagnetic instability into account in a collisionless plasma. A quasi-linear theory is developed to derive the stopping power of the plasma due to the electromagnetic instability. The wave–particle interaction by use of the renormalization theory leads to a saturation level of instability. Thus the purely growing electromagnetic instability, including the effect of the beam temperature, decides an effective stopping length of the REB in the plasma.

1984 ◽  
Vol 31 (2) ◽  
pp. 239-251 ◽  
Author(s):  
S. Cuperman ◽  
F. Petran ◽  
A. Gover

The coupling of volume, long-wavelength TM electromagnetic and longitudinal space charge (electrostatic) waves by the rippling of magnetically focused electron beams is examined analytically. The dispersion relation is obtained and then solved for these types of wave. Instability, with growth rates proportional to the relative ripple amplitude of the beam, is found and discussed.


2011 ◽  
Vol 11 (5) ◽  
pp. 15551-15572
Author(s):  
M. Füllekrug ◽  
R. Roussel-Dupré ◽  
E. M. D. Symbalisty ◽  
J. J. Colman ◽  
O. Chanrion ◽  
...  

Abstract. Non-luminous relativistic electron beams above thunderclouds are detected by radio remote sensing with low frequency radio signals from 40–400 kHz. The electron beams occur 2–9 ms after positive cloud-to-ground lightning discharges at heights between 22–72 km above thunderclouds. The positive lightning discharges also cause sprites which occur either above or before the electron beam. One electron beam was detected without any luminous sprite occurrence which suggests that electron beams may also occur independently. Numerical simulations show that the beamed electrons partially discharge the lightning electric field above thunderclouds and thereby gain a mean energy of 7 MeV to transport a total charge of 10 mC upwards. The impulsive current associated with relativistic electron beams above thunderclouds is directed downwards and needs to be considered as a novel element of the global atmospheric electric circuit.


2011 ◽  
Vol 11 (15) ◽  
pp. 7747-7754 ◽  
Author(s):  
M. Füllekrug ◽  
R. Roussel-Dupré ◽  
E. M. D. Symbalisty ◽  
J. J. Colman ◽  
O. Chanrion ◽  
...  

Abstract. Non-luminous relativistic electron beams above thunderclouds have been detected by the radio signals of low frequency ∼40–400 kHz which they radiate. The electron beams occur ∼2–9 ms after positive cloud-to-ground lightning discharges at heights between ∼22–72 km above thunderclouds. Intense positive lightning discharges can also cause sprites which occur either above or prior to the electron beam. One electron beam was detected without any luminous sprite which suggests that electron beams may also occur independently of sprites. Numerical simulations show that beams of electrons partially discharge the lightning electric field above thunderclouds and thereby gain a mean energy of ∼7 MeV to transport a total charge of ∼−10 mC upwards. The impulsive current ∼3 × 10−3 Am−2 associated with relativistic electron beams above thunderclouds is directed downwards and needs to be considered as a novel element of the global atmospheric electric circuit.


2014 ◽  
Vol 21 (3) ◽  
pp. 033101 ◽  
Author(s):  
B. Vauzour ◽  
A. Debayle ◽  
X. Vaisseau ◽  
S. Hulin ◽  
H.-P. Schlenvoigt ◽  
...  

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 ◽  
...  

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