Propagation of a magnetized plasma beam in a toroidal filter

B. Alterkop*, E. Gidalevich, S. Goldsmith, R. L. Boxman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


A two-fluid magneto-hydrodynamic model for the motion of a vacuum-arc-produced magnetized plasma beam in a toroidal magnetic filter is presented. The model takes into account in a self-consistent way electron-ion collisions and electrical, magnetic, centrifugal and pressure forces. An analytical solution is obtained that describes the distribution of the plasma density, the electron and ion velocities, the electric field and the current in the plasma. Analytical expressions for the filter efficiency as a function of the toroidal magnetic field are also derived. The effect of the centrifugal and diamagnetic ion drifts on the polarization electric field is studied. It is shown that the efficiency increases exponentially when the polarization field decreases. A decrease of the polarization field can take place when a current path outside the plasma short-circuits the electrical currents generated by the magnetic field in the plasma. When there is no polarization electric field, the filter efficiency ηc increases with the magnetic field as ηc = (1 + B2c/B2)-1 where B2c = miΓ0/(σRR′ 2), mi is the ion mass, Γ0 is the total input ion flux, σ is the transverse plasma conductivity and R and R′ are the major and minor radii of the torus, respectively.

Original languageEnglish
Pages (from-to)873-879
Number of pages7
JournalJournal of Physics D: Applied Physics
Issue number7
StatePublished - 7 Apr 1998


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