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Appl. Phys. Lett. 90, 141503 (2007); http://dx.doi.org/10.1063/1.2720710 (3 pages)

Two-dimensional space-charge-limited flows in a crossed-field gap

W. S. Koh and L. K. Ang

School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore and Institute of High Performance Computing, Singapore 117528, Singapore

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(Received 6 December 2006; accepted 6 March 2007; published online 6 April 2007)

This letter presents a two-dimensional (2D) model of space-charge-limited current in a planar crossed-field gap with a magnetic strength of B/BH = 0–3, where BH is the Hull cutoff magnetic field. The electrons are emitted from an infinite length strip of finite width W comparable to the gap spacing D. It is found that the 2D enhancement of the crossed-field limiting current is 1+F×4D/(πW), where F ( = 0.05–0.5) is a normalized mean-position factor, and it is a function of B/BH. Good agreement has been obtained in comparisons with particle-in-cell simulation.

© 2007 American Institute of Physics

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KEYWORDS and PACS

PACS

  • 52.59.Sa

    Space-charge-dominated beams

  • 52.40.Mj

    Particle beam interactions in plasmas

  • 52.25.Fi

    Transport properties

  • 52.30.Cv

    Magnetohydrodynamics (including electron magnetohydrodynamics)

  • 52.65.Rr

    Particle-in-cell method

ARTICLE DATA

PUBLICATION DATA

ISSN

0003-6951 (print)  
1077-3118 (online)

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