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

S. H. Chen, L. C. Tai, Y. L. Liu, L. K. Ang, W. S. Koh

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12 Scopus citations

Abstract

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 L of 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 (L/W) and (L/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.

Original languageEnglish
Article number023105
JournalPhysics of Plasmas
Volume18
Issue number2
DOIs
StatePublished - Feb 2011

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