Eur. Phys. J. AP
Volume 7, Number 1, July 1999
|Page(s)||79 - 85|
|Published online||15 July 1999|
Numerical studies on a positive ion trajectory in a magnetoelectrostatic trap for plasma confinement
Department of Physics,
Bharathiar University, Tamil Nadu,
Coimbatore 641 046, India
Corresponding author: firstname.lastname@example.org
Revised: 22 February 1999
Accepted: 8 March 1999
Published online: 15 July 1999
A magnetoelectrostatic trap consists of a spindle cusp magnetic field configuration and transverse electrostatic potentials applied to the electrodes at the ring and point cusp ends. Plasma confinement studies in this trap is made with a single positive charged particle. When the plasma is injected in such a system a potential well for the positive ions is formed where they could be trapped. Three-dimensional trajectory of the particle was developed by a single-gap mathematical model. The trajectory of a positive ion in the system was analyzed numerically by Runge-Kutta fourth order method. The equations of motion were constructed from the Hamiltonian function. The three-dimensional trajectory of an ion was traced for various possible input parameters. When the electrostatic potential and angle of injection are kept zero almost all the injected ions (post-cusp region) escape through the aperture. But there exists a critical injection velocity and magnetic field intensity to reflect the particle at axial cusp region. In this forward and backward motion the particle moves in a helical path encircling about the same magnetic lines of force. While introducing some potential difference to the electrodes in the cusp ends, the particle exhibits a "double helix" trajectory about the axis of the spindle cusp configuration. This double helical path leads long duration confinement of the particle in such a system and obviously cusp losses are suppressed. The results are reported for a wide range of input parameters.
PACS: 52.55.-s – Magnetic confinement and equilibrium / 52.55.Lf – Astron, cusp, and other magnetic traps / 52.65.Cc – Particle orbit and trajectory
© EDP Sciences, 1999
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