Electromagnetic instability supported by a rippled, magnetically focused relativistic electron beam

1984 ◽  
Vol 31 (2) ◽  
pp. 239-251 ◽  
Author(s):  
S. Cuperman ◽  
F. Petran ◽  
A. Gover
Keyword(s):  
Electron Beam ◽  
Dispersion Relation ◽  
Growth Rates ◽  
Relativistic Electron Beam ◽  
Electron Beams ◽  
Wave Instability ◽  
Electrostatic Waves ◽  
Long Wavelength ◽  
Ripple Amplitude ◽  
Electromagnetic Instability

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.

The influence of beam defocus on volume growth rates for electron beam induced platinum deposition

2008 ◽  
Vol 19 (48) ◽  
pp. 485302 ◽  
Author(s):  
H Plank ◽  
C Gspan ◽  
M Dienstleder ◽  
G Kothleitner ◽  
F Hofer
Keyword(s):  
Electron Beam ◽  
Growth Rates ◽  
Volume Growth ◽  
Platinum Deposition

scholarly journals Between two stream and filamentation instabilities: Temperature and collisions effects

2006 ◽  
Vol 24 (1) ◽  
pp. 27-33 ◽  
Author(s):  
ANTOINE BRET ◽  
MARIE-CHRISTINE FIRPO ◽  
CLAUDE DEUTSCH
Keyword(s):  
Growth Rate ◽  
Electron Beam ◽  
Relativistic Electron ◽  
Wave Vector ◽  
Growth Rates ◽  
Temperature Effects ◽  
Critical Angle ◽  
Relativistic Electron Beam ◽  
Plasma Temperature

We will consider relativistic electron beam interacting with plasma and study the electromagnetic instabilities obtained for arbitrarily oriented wave vectors ranging from two-stream to filamentation instabilities. For these unstable modes, we will study every temperature effects, namely beam and plasma normal, and parallel temperatures. Temperatures are supposed to be non-relativistic and modeled through water bag distributions. It is found that only normal beam temperature and parallel plasma temperature have a significative influence over the growth rates for wave vector making an angle with the beam larger than a critical angle θc which is determined exactly. The largest growth rate being reached for a wave vector making an angle with the beam smaller than θc, it is not damped by any kind of temperatures. We finally explore collisions effects and show they can reduce the largest growth rate.

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