Abstract
The sideband instability of a large-amplitude electromagnetic wave that traps electrons near the cyclotron resonance in a magnetized plasma is analyzed. The wave-trapped particles produce a weak instability. The growth rate and the criterion for the instability to exceed the threshold determined by collisional damping of the sidebands are given. This instability will have little consequence for the parameters expected in the microwave tokamak experiment at Lawrence Livermore National Laboratory [Proceedings of the 14th Annual Conference on Plasma Physics, St. Andrews, Scotland, 1987 (Pergamon, London, 1988), Paper No. 25].
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