Space-charge waves in a relativistic electron beam with ion-channel guiding

2010 ◽  
Vol 77 (3) ◽  
pp. 419-429 ◽  
Author(s):  
SAEED MIRZANEJHAD ◽  
BEHROUZ MARAGHECHI ◽  
FARSHAD SOHBATZADEH ◽  
IMAN KAMEL-JAHROMI
Keyword(s):  
Electron Beam ◽  
Eigenvalue Problem ◽  
Ion Channel ◽  
Space Charge ◽  
Relativistic Electron ◽  
Relativistic Electron Beam ◽  
Field Energy ◽  
Dispersion Characteristics ◽  
Perfect Agreement ◽  
Space Charge Waves

AbstractSpace-charge waves in a relativistic electron beam that completely fills a cylindrical metallic waveguide and is guided by an ion channel are analyzed numerically. Equilibrium consists of a uniform and rigid rotation without betatron oscillations. Using cold fluid equations a differential equation and boundary conditions are derived that constitute an eigenvalue problem. This eigenvalue problem is solved, numerically, with the finite difference scheme using shooting method. Dispersion characteristics and electrostatic potential structures of azimuthally symmetric and nonsymmetric space-charge waves are studied. Perfect agreement with analytical results at asymptotic limit of zero axial velocity is found. It was found that relativistic effects modify the dispersion characteristics of the space-charge waves considerably and can concentrate the electric field energy of the wave into a thin and small shell around the axis.

Nonlinear space-charge waves on an intense relativistic electron beam

1988 ◽  
Vol 16 (2) ◽  
pp. 249-257 ◽  
Author(s):  
Y.Y. Lau ◽  
J. Krall ◽  
M. Friedman ◽  
V. Serlin
Keyword(s):  
Electron Beam ◽  
Space Charge ◽  
Relativistic Electron ◽  
Relativistic Electron Beam ◽  
Space Charge Waves

Dispersion characteristics of the electromagnetic waves in a relativistic electron beam guided by the ion channel

2010 ◽  
Vol 17 (5) ◽  
pp. 053106 ◽  
Author(s):  
Saeed Mirzanejhad ◽  
Farshad Sohbatzadeh ◽  
Maede Ghasemi ◽  
Zeinab Sedaghat ◽  
Zeinab Mahdian
Keyword(s):  
Electron Beam ◽  
Ion Channel ◽  
Relativistic Electron ◽  
Electromagnetic Waves ◽  
Relativistic Electron Beam ◽  
Dispersion Characteristics

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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