Spherically convergent ion focus (SCIF) devices relying on hot electrons to create the confining electrostatic well are found to be subject to a counterstreaming ion instability. Nonlocal linear stability theories in a spherical geometry are formulated and solved both analytically and numerically. The results of previous calculations of local linear theory are used for comparison. Linear growth rates of the order of the beam transit frequency are predicted. The consequence of these instabilities awaits a nonlinear treatment.
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Wong et al. (1993) studied this question.
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