Stability of Brillouin flow in planar, conventional, and inverted magnetrons
Abstract
The Brillouin flow is the prevalent flow in crossedfield devices. We systematically study its stability in the conventional, planar, and inverted magnetron geometry. To investigate the intrinsic negative mass effect in Brillouin flow, we consider electrostatic modes in a nonrelativistic, smooth bore magnetron. We found that the Brillouin flow in the inverted magnetron is more unstable than that in a planar magnetron, which in turn is more unstable than that in the conventional magnetron. Thus, oscillations in the inverted magnetron may startup faster than the conventional magnetron. This result is consistent with simulations, and with the negative mass property in the inverted magnetron configuration. Inclusion of relativistic effects and electromagnetic effects does not qualitatively change these conclusions.
 Authors:
 Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 481092104 (United States)
 Air Force Research Laboratory, Kirtland Air Force Base, Albuquerque, New Mexico 87117 (United States)
 Publication Date:
 OSTI Identifier:
 22490026
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BRILLOUIN THEOREM; CROSSED FIELDS; GEOMETRY; MAGNETRONS; NEGATIVE MASS; NEGATIVE MASS EFFECT; OSCILLATIONS; RELATIVISTIC RANGE; SIMULATION; STABILITY
Citation Formats
Simon, D. H., Lau, Y. Y., Greening, G., Wong, P., Gilgenbach, R. M., and Hoff, B. W. Stability of Brillouin flow in planar, conventional, and inverted magnetrons. United States: N. p., 2015.
Web. doi:10.1063/1.4927798.
Simon, D. H., Lau, Y. Y., Greening, G., Wong, P., Gilgenbach, R. M., & Hoff, B. W. Stability of Brillouin flow in planar, conventional, and inverted magnetrons. United States. doi:10.1063/1.4927798.
Simon, D. H., Lau, Y. Y., Greening, G., Wong, P., Gilgenbach, R. M., and Hoff, B. W. 2015.
"Stability of Brillouin flow in planar, conventional, and inverted magnetrons". United States.
doi:10.1063/1.4927798.
@article{osti_22490026,
title = {Stability of Brillouin flow in planar, conventional, and inverted magnetrons},
author = {Simon, D. H. and Lau, Y. Y. and Greening, G. and Wong, P. and Gilgenbach, R. M. and Hoff, B. W.},
abstractNote = {The Brillouin flow is the prevalent flow in crossedfield devices. We systematically study its stability in the conventional, planar, and inverted magnetron geometry. To investigate the intrinsic negative mass effect in Brillouin flow, we consider electrostatic modes in a nonrelativistic, smooth bore magnetron. We found that the Brillouin flow in the inverted magnetron is more unstable than that in a planar magnetron, which in turn is more unstable than that in the conventional magnetron. Thus, oscillations in the inverted magnetron may startup faster than the conventional magnetron. This result is consistent with simulations, and with the negative mass property in the inverted magnetron configuration. Inclusion of relativistic effects and electromagnetic effects does not qualitatively change these conclusions.},
doi = {10.1063/1.4927798},
journal = {Physics of Plasmas},
number = 8,
volume = 22,
place = {United States},
year = 2015,
month = 8
}

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