A re-examination of the Buneman-Hartree condition in a cylindrical smooth-bore relativistic magnetron
- Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109-2104 (United States)
- Air Force Office of Scientific Research, Arlington, Virginia 22203 (United States)
- Air Force Research Laboratory, Kirtland AFB, New Mexico 87117 (United States)
The Buneman-Hartree condition is re-examined in a cylindrical, smooth-bore, relativistic magnetron using both the conventional, single particle model, and the Brillouin flow model. These two models yield the same result for the Buneman-Hartree condition only in the limit of a planar magnetron. When b/a=1.3, where a is the cathode radius and b (>a) is the anode radius, the difference in the two models becomes significant. When b/a=4 the difference is acute, the Buneman-Hartree magnetic field at a given voltage in the Brillouin flow model exceeds four times that in the single particle model. Such a difference is always present, whether the voltage is relativistic or not. These results are quantified for b/a>>1 using Davidson's model, conveniently cast in terms of the normalized gap voltage and normalized magnetic flux imposed on the cylindrical magnetron. A comparison with the University of Michigan/L-3 relativistic magnetron experiment is given.
- OSTI ID:
- 21347196
- Journal Information:
- Physics of Plasmas, Vol. 17, Issue 3; Other Information: DOI: 10.1063/1.3328804; (c) 2010 American Institute of Physics; ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
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