Stopping power for arbitrary angle between test particle velocity and magnetic field

Abstract

Using the longitudinal dielectric function derived previously for charged test particles in helical movement around magnetic field lines, the numerical convergence of the series involved is found and the double numerical integrations on wave vector components are performed yielding the stopping power for arbitrary angle between the test particle velocity and magnetic field. Calculations are performed for particle Larmor radius larger and shorter than Debye length, i.e., for protons in a cold magnetized plasma and for thermonuclear α particles in a dense, hot, and strongly magnetized plasma. A strong decrease is found for the energy loss as the angle varies from 0 to π∕2. The range of thermonuclear α particles as a function of the velocity angle with respect to the magnetic field is also given.

Influences of finite Larmor radius on wake effects and stopping power for proton moving in magnetized two-component plasma

“…Since magnetic fields are experimentally available in the MCF and electron cooling processes, many theoretical calculations of the stopping power in a magnetized plasma have been presented [12,[15][16][17][18][19][20][21][22][23][24]. When a charged particle penetrates into a magnetic field, it suffers the Lorentz force only in the direction across the magnetic field.…”

“…In Ref. [22], the stopping power involved the cyclotron motion of the test particle has been detailedly performed with arbitrary orientation between the projectile velocity and magnetic field, which decreases strongly as the angle varies from 0 to π/2. Nevertheless, the authors only took the dynamics polarization of plasma electrons.…”

Improved Shift-Operator FDTD Method for Anisotropic Magnetized Cold Plasmas With Arbitrary Magnetic Field Declination

“…An ion projectile stopping at a velocity smaller than the target electron thermal velocity in a strong magnetic field is studied thoroughly in [18]. However, these research in [16][17][18] centralize on the charged particles in magnetic field and there are no numerical EM-models and related numerical methods, so we want to find an effective numerical method to solve the EM-problems in anisotropic medium with arbitrary magnetic field declination.…”

“…The above FDTD methods have been mainly used to analyze EM problems for magnetized plasma where the external magnetic field direction is parallel to the direction of EM-wave propagation, which is a serious limitation. For many practical cases of interest, however, the angle between the external magnetic field direction and the direction of propagation is arbitrary [16][17][18]. In [16], the stopping power for arbitrary angle between the test particle velocity and magnetic field is investigated by using the longitudinal dielectric function derived for charged test particles in helical movement around magnetic field lines.…”

“…For many practical cases of interest, however, the angle between the external magnetic field direction and the direction of propagation is arbitrary [16][17][18]. In [16], the stopping power for arbitrary angle between the test particle velocity and magnetic field is investigated by using the longitudinal dielectric function derived for charged test particles in helical movement around magnetic field lines. H. B. Nersisyan et al focus on the influence of a strong magnetic field with arbitrary angle of declination on the interactions between charged particles in a many-body system [17].…”