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

Yao Li Liu, Ling Chieh Tai, Shih Hung Chen, Lay Kee Ang, Wee Shing Koh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Two-dimensional electromagnetic (EM) 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 (CL) 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 (SCL) current density as compared to the well-known two-dimensional electrostatic (ES) Child-Langmuir law even at the classical regime.

Original languageEnglish
Title of host publication2011 IEEE International Vacuum Electronics Conference, IVEC-2011
Pages419-420
Number of pages2
DOIs
StatePublished - 2011
Event2011 IEEE International Vacuum Electronics Conference, IVEC-2011 - Bangalore, India
Duration: 21 Feb 201124 Feb 2011

Publication series

Name2011 IEEE International Vacuum Electronics Conference, IVEC-2011

Conference

Conference2011 IEEE International Vacuum Electronics Conference, IVEC-2011
Country/TerritoryIndia
CityBangalore
Period21/02/1124/02/11

Keywords

  • Electron tubes
  • High-voltage diodes
  • Space-charge-dominated beams

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