Properties of high-energy electron beams trap with a magnetic mirror field

Abstract

The properties of a high energy short pulse electron beam in a magnetic mirror field are studied numerically by the Particle-in-Cell method. The complex nature of processes studied, and also the need for the calculation of the positions, velocities, and trajectories of billions of particles, required the use of a scalable parallel algorithm. The use of modern supercomputers has allowed us to calculate the plasma dynamics, to determine the electron beam in the magnetic mirror field. Mathematical modeling of non-neutral plasma dynamics at the trap is carried out. The axially integrated radial density profiles, electric field distribution, and phase space distribution of velocity are measured. The axial and radial oscillations of a confined non-neutral plasma are also observed.

Investigation of the confinement of high energy non-neutral proton beam in a bent magnetic mirror

“…The dependence of the loss rate of the charged particles on the system parameters for an axial symmetric mirror has been studied previously [9,10]. It is reported that the loss rate decreases as the mirror ratio increases [10].…”

“…For the axi-symmetric mirror, the loss of particles is mainly caused in the axis direction. Furthermore, the larger the magnetic mirror ratio R m (R m = B m /B 0 , B m and B 0 are the maximum and minimum of the strength of magnetic field on the axis respectively), the less the loss of particles [9,10,26,27]. Figure 5(a) shows the dependence of the strength of magnetic field on the spatial coordinate x for y = 0 and y = ±0.035 m, with α = 0 and α = 45°respectively.…”

“…A wide variety of plasmas, such as high-ion-energy quasineutral plasma, plasmas with high-energy electrons, nonneutral plasmas, electron-positron plasmas, plasma discharges have been studied in a magnetic mirror field [1][2][3][4][5][6][7][8][9][10]. Most of the early studies on the neutrality plasma in magnetic mirrors focused on axi-symmetric magnetic mirrors [1][2][3][4][5], for example, plasma discharges with a high temperature of bulk electrons in the axially symmetric magnetic mirror [3], low energy electron-positron plasmas [4,5] confined in a compact magnetic mirror.…”

“…Most of the early studies on the neutrality plasma in magnetic mirrors focused on axi-symmetric magnetic mirrors [1][2][3][4][5], for example, plasma discharges with a high temperature of bulk electrons in the axially symmetric magnetic mirror [3], low energy electron-positron plasmas [4,5] confined in a compact magnetic mirror. Moreover, there are also some works on the non-neutral plasmas, such as non-neutral electron plasmas [6,7], electron beam [8,9] and proton beam [11], studied by experiments and numerical simulation in a magnetic mirror.…”

“…However, there are few works on the non-neutral plasmas in a bent mirror. Following the procedure of the study of the non-neutral plasma in axi-symmetric magnetic field [9,10], we study the confinement of non-neutral proton beams in a bent magnetic mirror in the present work. It is found that the loss rate of the ions in a bent magnetic mirror is much smaller than that of the axi-symmetry mirror.…”