Return Current Induced by a Relativistic Beam Propagating in a Magnetized Plasma

  • Roswell Lee
    Laboratory of Plasma Studies, Cornell University, Ithaca, New York 14850
  • R. N. Sudan
    Laboratory of Plasma Studies, Cornell University, Ithaca, New York 14850

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<jats:p>The propagation of a high current relativistic beam in a cold magnetized plasma is investigated using a model developed by Hammer and Rostoker for the unmagnetized case. In this model, the beam electrons are assumed to be undeflected from their zero-order orbits and the fields associated with the beam are switched on at time t = 0. The return current induced in the plasma is calculated as a function of beam and plasma parameters. It is demonstrated that the return current does not extend indefinitely but dies away inversely as the distance from the head of the beam with a characteristic length Ln = v0τa2/λE2, where v0 and a are the beam velocity and radius, τ is a phenomenological momentum relaxation time for the plasma electrons, λE = c/ωp, and ωp is the plasma frequency of the plasma electrons. When the beam is injected either parallel or perpendicular to a static magnetic field B0, it is found to be magnetically neutralized by a return current over a length of order Ln if a2/[λE2(1+Ω2/ωp2)]≫1, where Ω = eB0/m0c.</jats:p>

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