Parametric scaling of the stability of relativistic laminar flow magnetic insulation

The short wavelength limit of the magnetron instability of a relativistic sharp boundary electron sheath is examined. For short wavelengths the mode is localized to the sheath edge. This localization leads to a simple relationship (essentially a Lorentz transformation) between the relativistic and n...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1985-09, Vol.28 (9), p.2878-2881
Main Authors: Antonsen, T. M., Ott, Edward, Chang, C. L., Drobot, A. T.
Format: Article
Language:English
Subjects:
Charged-particle beams
Electromagnetism
electron and ion optics
Electron and positron beams
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
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Summary:The short wavelength limit of the magnetron instability of a relativistic sharp boundary electron sheath is examined. For short wavelengths the mode is localized to the sheath edge. This localization leads to a simple relationship (essentially a Lorentz transformation) between the relativistic and nonrelativistic growth rates. This relationship involves only equilibrium quantities evaluated at the sheath edge and explains previously noted trends that have been observed numerically.
ISSN:0031-9171
2163-4998
DOI:10.1063/1.865208