Abstract
The instability of Alfven waves by fast ions in a plasma in a magnetic mirror field is investigated theoretically taking explicitly into account the bounce motion of the fast ions between turning points. The linear growth rate of instability is calculated and the result is compared with the result obtained by the usual theory which assumes free motion of particles. In the case of a nearly mono-energetic velocity distribution of fast ions, with the velocity spread equal to the thermal velocity of the host plasma ions, the maxumum growth rate by the bounce-motion theory is reduced by the factor (fast-ion energy/host-ion temperature) 1/4 from that by the free-motion theory. The difference is less remarkable in the case of a broad distribution of fast ions.
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