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Phys. Plasmas 13, 063102 (2006); http://dx.doi.org/10.1063/1.2208086 (5 pages)

Multidimensional short-pulse space-charge-limited flow

W. S. Koh1, L. K. Ang2, and T. J. T. Kwan3

1School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798
2School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798 and Institute of High Performance Computing, Singapore 117528
3Applied Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

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(Received 24 March 2006; accepted 4 May 2006; published online 12 June 2006)

The two-dimensional models of the space-charge-limited (SCL) current density at the short pulse limit for which the electron pulse length is comparable or smaller than the electron transit time across the gap (i.e., XCL ⩽ 1) have been developed. In particular, the scaling laws for short-pulse SCL electron emission in a planar diode with a circular emitting strip and a cylindrical diode with a finite length have been obtained and verified with particle-in-cell simulation. It is found that the enhancement (in terms of the long-pulse SCL current density) is proportional to XCL−1 for small XCL for both planar and cylindrical cases. The enhancement of the cylindrical short-pulse SCL current density is also found to be larger for the convergent flow (cathode outside) than divergent flow (cathode inside). Multidimensional effects are important only for small emitting strips with size comparable to the effective penetration distance (into the gap) of the short-pulse electron beam. Smooth transition between the short-pulse regime and the long pulse (steady-state) regime is demonstrated.

© 2006 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THEORY AND SIMULATIONS
    1. 1D planar short-pulse CL law
    2. 1D cylindrical short-pulse CL law
    3. 2D models of short-pulse SCL electron emission
    4. Particle in cell simulation
  3. SUMMARY

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KEYWORDS and PACS

PACS

  • 52.75.Fk

    Magnetohydrodynamic generators and thermionic convertors; plasma diodes

  • 52.30.-q

    Plasma dynamics and flow

  • 52.25.Fi

    Transport properties

  • 52.65.Rr

    Particle-in-cell method

  • 52.40.Mj

    Particle beam interactions in plasmas

  • 52.59.Sa

    Space-charge-dominated beams

ARTICLE DATA

PUBLICATION DATA

ISSN

1070-664X (print)  
1089-7674 (online)

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