Charged Particle Trajectories Focusing in Toroidal Magnetic Field Created by Current Carrying Ring Wire

An intense current in a hypothetical superconducting ring wire creates circular symmetric magnetic field. The calculation of such a field is performed numerically. Complete elliptic integrals of the first and second kind with modulus “k” approaching unity in the vicinity of the current carrying wire are used. The trajectories of charged particles moving along the current carrying wire are calculated neglecting space charge effect. With proper parameter selection toroidal magnetic field confines charged particles. Cycloid type trajectories without touching the axial current carrying wire are obtained. Such an arrangement could be used as charged particle beam guiding or storage system.