Abstract
The high-frequency convective loss-cone mode is found to be absolutely unstable, due to (exponentially small) reflection of waves at the mirror throats; the critical length for stability is only a few ion Larmor radii. For β≫me/mi, the following methods are shown not to substantially increase the critical length: (1) gradual tapering of the mirror throats (to reduce reflection); (2) partial filling of the loss cone with small amounts of warm plasma; (3) considering only low k⊥ modes (since high k⊥ modes may saturate at a low level). This result places serious limitations on the design of mirror fusion reactors.
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