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Physics of Plasmas / Volume 18 / Issue 2 / ARTICLES / Lasers, Particle Beams, Accelerators, Radiation Generation

Phys. Plasmas 18, 023105 (2011); http://dx.doi.org/10.1063/1.3553451 (6 pages)

Two-dimensional electromagnetic Child–Langmuir law of a short-pulse electron flow

S. H. Chen1, L. C. Tai1, Y. L. Liu1, L. K. Ang2, and W. S. Koh3

1Department of Physics, National Central University, Jhongli 32001, Taiwan
2School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
3Institute of High Performance Computing, A*STAR, Singapore 138632, Singapore

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(Received 4 November 2010; accepted 17 January 2011; published online 9 February 2011)

Two-dimensional electromagnetic particle-in-cell simulations were performed to study the effect of the displacement current and the self-magnetic field on the space charge limited current density or the Child–Langmuir law of a short-pulse electron flow with a propagation distance of ζ and an emitting width of W from the classical regime to the relativistic regime. Numerical scaling of the two-dimensional electromagnetic Child–Langmuir law was constructed and it scales with (ζ/W) and (ζ/W)2 at the classical and relativistic regimes, respectively. Our findings reveal that the displacement current can considerably enhance the space charge limited current density as compared to the well-known two-dimensional electrostatic Child–Langmuir law even at the classical regime.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THEORETICAL MODEL AND SIMULATION METHOD
  3. NUMERICAL RESULTS AND 2D EM CL LAW
  4. EQUIVALENT CIRCUIT MODELS FOR ES AND EM CL LAWS
  5. CONCLUSIONS

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KEYWORDS and PACS

Keywords

current density, plasma density, plasma flow, plasma simulation, relativistic electron beams, space charge

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3553451

PUBLICATION DATA

ISSN

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

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$abstract.society.value is a Member of CrossRef American Institute of Physics

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