A Fluid Model of the Sheath Formation in Front of an Electron Emitting Electrode with Space Charge Limited Emission Immersed in a Plasma that Contains a One-Dimensional Mono-Energetic Electron Beam

2010 ◽  
Vol 50 (2) ◽  
pp. 121-134 ◽  
Author(s):  
T. Gyergyek ◽  
J. Kovačič ◽  
M. Čerček
Keyword(s):  
Electron Beam ◽  
Space Charge ◽  
Fluid Model ◽  
Energetic Electron ◽  
One Dimensional ◽  
Sheath Formation ◽  
Space Charge Limited

Effect of warm beam electrons on electrostatic-shock solutions

1992 ◽  
Vol 48 (1) ◽  
pp. 159-166 ◽  
Author(s):  
M. Dey ◽  
U. N. Das ◽  
K. S. Goswami ◽  
S. Bujarbarua
Keyword(s):  
Magnetic Field ◽  
Electron Beam ◽  
Fluid Model ◽  
Auroral Zone ◽  
Lower Hybrid ◽  
Hybrid Mode ◽  
One Dimensional ◽  
Stationary Shock ◽  
Exact Time ◽  
The Magnetic Field

We use a one-dimensional quasi-neutral fluid model to study the formation of an electrostatic shock associated with the lower-hybrid mode propagating almost perpendicularly to the magnetic field that exists in the auroral zone of the magnetosphere containing cold downward-streaming electrons, cold upward-streaming ions and beam electrons. We examine the effects of finite electron-beam temperature by describing the beam electrons with fluid equations. We then show how exact time-stationary shock solutions may be found when quasi-neutrality is considered.

Influence of ion density on electron-beam propagation from a gas-filled diode

1999 ◽  
Vol 61 (1) ◽  
pp. 31-41 ◽  
Author(s):  
HAN S. UHM ◽  
E. H. CHOI ◽  
J. J. KO ◽  
H. M. SHIN ◽  
G. S. CHO
Keyword(s):  
Electron Beam ◽  
Theoretical Model ◽  
Ion Channel ◽  
Space Charge ◽  
Relativistic Electron ◽  
Relativistic Electron Beam ◽  
Space Charge Limited Current ◽  
Ion Density ◽  
Limited Current ◽  
Space Charge Limited

Electron-beam propagation from a gas-filled diode is investigated. The beginning portion of the electron beam pulse creates an ion channel not only inside the diode but also in the region beyond the anode. A theoretical model is developed for the space-charge-limited current of a relativistic electron beam propagating through an ion channel. A simple analytical expression for the space-charge-limited current is obtained within the context of a thin-beam approximation, where the conducting-tube radius is much larger than the beam radius. The beam current propagating through an ion channel is measured experimentally for a mildly relativistic electron beam. Whenever the ion density inside the diode is the same as the beam electron density, the diode is short-circuited. The ion-channel density at the short-circuiting time is calculated numerically and is used to estimate the space-charge-limited current. It is shown that the experimental data agree well with the analytical results predicted by the theoretical model.

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