scholarly journals Effect of longitudinal space-charge waves of a helical relativistic electron beam on the cyclotron maser instability

1992 ◽  
Vol 20 (3) ◽  
pp. 149-154 ◽  
Author(s):  
C. Chen ◽  
B.G. Danly ◽  
G. Shvets ◽  
J.S. Wurtele
Keyword(s):  
Electron Beam ◽  
Space Charge ◽  
Relativistic Electron ◽  
Relativistic Electron Beam ◽  
Cyclotron Maser ◽  
Space Charge Waves

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

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.

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