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.

Electromagnetic instability and stopping power of plasma for relativistic electron beams

1980 ◽  
Vol 23 (3) ◽  
pp. 423-432 ◽  
Author(s):  
Toshio Okada ◽  
Keishiro Niu
Keyword(s):  
Electron Beam ◽  
Relativistic Electron ◽  
Relativistic Electron Beam ◽  
Electron Beams ◽  
Collisionless Plasma ◽  
Particle Interaction ◽  
Stopping Power ◽  
Relativistic Electron Beams ◽  
Renormalization Theory ◽  
Electromagnetic Instability

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.

Effect of collisions on the relativistic electromagnetic instability

1980 ◽  
Vol 24 (3) ◽  
pp. 483-488 ◽  
Author(s):  
Toshio Okada ◽  
Keishiro Niu
Keyword(s):  
Growth Rate ◽  
Electron Beam ◽  
Dispersion Relation ◽  
Relativistic Electron ◽  
Relativistic Electron Beam ◽  
Plasma Temperature ◽  
Electromagnetic Instability

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.

scholarly journals Compton and Raman free electron laser stability properties for a cold electron beam propagating through a helical magnetic wiggler

1985 ◽  
Vol 33 (3) ◽  
pp. 387-423 ◽  
Author(s):  
John A. Davies ◽  
Ronald C. Davidson ◽  
George L. Johnston
Keyword(s):  
Magnetic Field ◽  
Electron Beam ◽  
Dispersion Relation ◽  
Free Electron ◽  
Free Electron Laser ◽  
Relativistic Electron Beam ◽  
Cold Electron ◽  
Wiggler Magnetic Field ◽  
Laser Stability

This paper gives an extensive characterization of the range of validity of the Compton and Raman approximations to the exact free electron laser dispersion relation for a cold, relativistic electron beam propagating through a constantamplitude helical wiggler magnetic field. The electron beam is treated as infinite in transverse extent. Specific properties of the exact and approximate dispersion relations are investigated analytically and numerically. In particular, a detailed numerical analysis is carried out to determine the range of validity of the Compton approximation.

Longitudinal waves in a perpendicular collisionless plasma shock Part 4. Gradient B

1972 ◽  
Vol 7 (3) ◽  
pp. 417-425 ◽  
Author(s):  
S. Peter Gary
Keyword(s):  
Dispersion Relation ◽  
Growth Rates ◽  
Collisionless Plasma ◽  
Maximum Growth ◽  
Linear Dispersion ◽  
Electrostatic Waves ◽  
Longitudinal Waves ◽  
Linear Dispersion Relation ◽  
Plasma Shock ◽  
Vlasov Plasma

This paper considers electrostatic waves in a Vlasov plasma of unmagnetized ions and magnetized electrons undergoing E x B and gradient B drifts. The linear dispersion relation is solved numerically for Te & Ti. The results show that, as in the Te <Ti case, increasing electron β decreases the maximum growth rates.

Sign in / Sign up

Export Citation Format

Share Document