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Author Simon, D. H. ♦ Lau, Y. Y. ♦ Greening, G. ♦ Wong, P. ♦ Gilgenbach, R. M. ♦ Hoff, B.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PLASMA PHYSICS AND FUSION TECHNOLOGY ♦ CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ♦ ANODES ♦ BRILLOUIN THEOREM ♦ CROSSED FIELDS ♦ DENSITY ♦ ELECTRIC FIELDS ♦ ELECTRONS ♦ EQUILIBRIUM ♦ GEOMETRY ♦ INSTABILITY ♦ INTERACTIONS ♦ MAGNETIC FIELDS ♦ MAGNETRONS ♦ MASS ♦ RELATIVISTIC RANGE ♦ STABILITY ♦ TUBES
Abstract Including a slow-wave structure (SWS) on the anode in the conventional, planar, and inverted magnetron, we systematically study the linear stability of Brillouin flow, which is the prevalent flow in crossed-field devices. The analytic treatment is fully relativistic and fully electromagnetic, and it incorporates the equilibrium density profile, flow profile, and electric field and magnetic field profiles in the linear stability analysis. Using parameters similar to the University of Michigan's recirculating planar magnetron, the numerical data show that the resonant interaction of the vacuum circuit mode and the corresponding smooth-bore diocotron-like mode is the dominant cause for instability. This resonant interaction is far more important than the intrinsic negative (positive) mass property of electrons in the inverted (conventional) magnetron geometry. It is absent in either the smooth-bore magnetron or under the electrostatic assumption, one or both of which was almost always adopted in prior analytical formulation. This resonant interaction severely restricts the wavenumber for instability to the narrow range in which the cold tube frequency of the SWS is within a few percent of the corresponding smooth bore diocotron-like mode in the Brillouin flow.
ISSN 1070664X
Educational Use Research
Learning Resource Type Article
Publisher Date 2016-09-15
Publisher Place United States
Journal Physics of Plasmas
Volume Number 23
Issue Number 9


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