scholarly journals Rigid-Rotor Vlasov Equilibrium for an Intense Charged-Particle Beam Propagating through a Periodic Solenoidal Magnetic Field

1997 ◽  
Vol 79 (2) ◽  
pp. 225-228 ◽  
Author(s):  
Chiping Chen ◽  
Renato Pakter ◽  
Ronald C. Davidson
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Particle Beam ◽  
Rigid Rotor ◽  
Charged Particle Beam

Excitation of surface-type X modes by charged-particle beams

1998 ◽  
Vol 60 (2) ◽  
pp. 413-420 ◽  
Author(s):  
V. O. GIRKA
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Structural Parameters ◽  
Particle Beam ◽  
Charged Particle Beam ◽  
Surface Type ◽  
Charged Particle Beams ◽  
Steady Magnetic Field ◽  
Polarized Surface ◽  
Oriented Parallel

A theoretical investigation of extraordinary polarized surface waves at the second harmonics of ion and electron cyclotron frequencies propagating across an external steady magnetic field is carried out in the case of weak plasma spatial dispersion when the thermal velocities of plasma particles are much less than the phase velocities of the considered waves. These waves are eigenmodes of a planar plasma–vacuum waveguide structure that is situated in a steady magnetic field oriented parallel to the plasma surface. A cold charged-particle beam is assumed to propagate over the plasma interface. Excitation of surface X modes at the second harmonics of electron and ion cyclotron frequencies due to the beam–plasma interaction is studied analytically. The dependence of surface-type X-mode (STXM) growth rates on the considered waveguide structural parameters is also studied.

Fokker–Planck model of charged-particle beam behavior in a strong toroidal magnetic field

2005 ◽  
Vol 6 (3) ◽  
pp. 417-428
Author(s):  
Z. Parsa ◽  
A. Chikrii ◽  
S. Eidelman ◽  
V. Yavorskij ◽  
V. Zadorozhny
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Particle Beam ◽  
Toroidal Magnetic Field ◽  
Charged Particle Beam ◽  
Fokker Planck

Excitation of surface cyclotron O modes by charged-particle beams

2002 ◽  
Vol 68 (2) ◽  
pp. 129-136 ◽  
Author(s):  
V. O. GIRKA
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Particle Beam ◽  
Charged Particle Beam ◽  
Plasma Surface ◽  
Charged Particle Beams ◽  
Planar Plasma ◽  
Steady Magnetic Field ◽  
Polarized Surface ◽  
Oriented Parallel

A theoretical investigation of the interaction between a charged-particle beam and ordinarily polarized surface waves at the first two harmonics of ion and electron cyclotron frequencies propagating across an external steady magnetic field is carried out. The case of weak plasma spatial dispersion when the Larmor radii of plasma particles are much less than the penetration depth of these waves into the plasma is considered. The indicated waves are eigenmodes of the planar plasma–vacuum–metal waveguide structure, which is exposed to a steady magnetic field oriented parallel to the plasma surface. It is supposed that a cold charged- particle beam propagates over the plasma surface in the vacuum region. The beam density is less than the plasma density. Excitation of these O modes at the first and second harmonics of electron and ion cyclotron frequencies caused by the both resonant beam and dissipative instabilities is studied analytically. The dependence of their growth rates on parameters of the considered waveguide structures is also examined.

scholarly journals Accelerator Engineering and Technology: Accelerator Technology

2020 ◽  
pp. 337-517
Author(s):  
F. Bordry ◽  
L. Bottura ◽  
A. Milanese ◽  
D. Tommasini ◽  
E. Jensen ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Particle Beam ◽  
Space Distribution ◽  
Main Function ◽  
Uniform Field ◽  
Charged Particle Beam ◽  
Linear Accelerators ◽  
Engineering And Technology ◽  
Accelerator Technology

AbstractMagnets are at the core of both circular and linear accelerators. The main function of a magnet is to guide the charged particle beam by virtue of the Lorentz force, given by the following expression:where q is the electrical charge of the particle, v its velocity, and B the magnetic field induction. The trajectory of a particle in the field depends hence on the particle velocity and on the space distribution of the field. The simplest case is that of a uniform magnetic field with a single component and velocity v normal to it, in which case the particle trajectory is a circle. A uniform field has thus a pure bending effect on a charged particle, and the magnet that generates it is generally referred to as a dipole.

SELF-CONSISTENT DISTRIBUTIONS FOR CHARGED PARTICLE BEAM IN MAGNETIC FIELD

2009 ◽  
Vol 24 (05) ◽  
pp. 816-842 ◽  
Author(s):  
OLEG I. DRIVOTIN ◽  
DMITRI A. OVSYANNIKOV
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Particle Density ◽  
Axial Direction ◽  
Particle Beam ◽  
Integrals Of Motion ◽  
Charged Particle Beam ◽  
Particle Distributions ◽  
Dimensional Phase Space ◽  
Self Consistent

The problem of constructing self-consistent stationary particle distributions in four-dimensional phase space is considered for an azimuthally symmetric charged particle beam in a longitudinal magnetic field. In the general case of a longitudinally nonuniform beam, it is assumed that the magnetic field and the radius of the beam cross-section can slowly vary in the axial direction. The simplest case of a longitudinally uniform beam is studied in more detail. The approach applied here is to analyze the particle density in the space of integrals of motion. The relations between this density, the phase density, and the density in the configuration space are obtained. The set of admissible values of integrals of motion for a radially confined beam is examined. The construction of new self-consistent distributions consists in the specifying of some function defined on this set. Wide classes of new distributions are found. In particular cases, some of these distributions are identical to those known before, for example, the Kapchinsky-Vladimirsky distribution.

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