<RESEARCH REPORT>Kinetic Theoretical Analysis for Propagation of Rotating Ion Beam in ICF

概要

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It is proposed that self-magnetic field of the beam can stabilize and pinch itself, without complete neutralization of the beam current. This situation is achieved in the back ground plasma which density is about 1/10 of the beam. The beam produces the strong azimuthal self-magnetic field by the axial motion. This field makes the beam pinch. The axial self-magnetic field is induced by the beam azimuthal motion and stabilizes the beam propagation. In this paper, the rotating light ion beam is discussed on the basis of kinetic theory. The velocity distribution function for the beam ions ƒ_<b0> is obtained as an exact solution of the Vlasov-Maxwell equation for the steady state. That is, ƒ_<b0> is an arbitrary function with respect to Hamiltonian H, canonical angular momentum P_θ and canonical axial momentum P_z; ƒ_<b0>=ƒ_<b0> (H, P_θ, P_z). Here, the subscript "0" denotes the steady state. The macroscopic physical quantities are obtained by integration in v-space. Hence, in order to obtain the steady state solution of beam-plasma system, these equations must be solved numerically with Maxwell equations simultaneously. The distribution function ƒ_<b0> is assumed by considering the condition to extract the beam in the diode.
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