Stationary self-consistent distributions for a charged particle beam in the longitudinal magnetic field

2016 ◽  
Vol 47 (5) ◽  
pp. 884-913 ◽  
Author(s):  
O. I. Drivotin ◽  
D. A. Ovsyannikov
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Longitudinal Magnetic Field ◽  
Particle Beam ◽  
Charged Particle Beam ◽  
Self Consistent

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.

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

scholarly journals Analytical method for determining at equilibrium the envelope and emittance of initially mismatched beams

2009 ◽  
Vol 75 (6) ◽  
pp. 829-839 ◽  
Author(s):  
R. P. NUNES ◽  
F. B. RIZZATO
Keyword(s):  
Charged Particle ◽  
Analytical Method ◽  
High Intensity ◽  
Particle Beam ◽  
Current Approach ◽  
Charged Particle Beam ◽  
Magnetic Focusing ◽  
Self Consistent ◽  
Analytic Expression ◽  
Beam Parameters

AbstractThis work presents a fully analytic way of determining relevant equilibrium quantities of a high-intensity charged particle beam submitted to magnetic focusing while inside a linear channel. Through the current approach, some intermediate steps of our original hybrid model which had to be solved numerically can now be eliminated, leading to the obtainment of a fully analytic expression. This expression relates the initial beam parameters with those at equilibrium, allowing beam macroscopic quantities such as envelope and emittance to be naturally and analytically determined. For validation, full self-consistent N-particle beam numerical simulations have been carried out and the results compared with the predictions supplied by the full analytical model. The agreement is shown to be good with the simulations and also with the original hybrid numerical-analytical version of the model.

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