A relativistic self-consistent model for studying enhancement of space charge limited field emission due to counter-streaming ions
- Authors
- Lin, Ming-Chieh; Lu, Pu-Shih; Chang, Po-Chun; Ragan-Kelley, Benjamin; Verboncoeur, John P.
- Issue Date
- Feb-2014
- Publisher
- AMER INST PHYSICS
- Citation
- PHYSICS OF PLASMAS, v.21, no.2, pp.1 - 6
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICS OF PLASMAS
- Volume
- 21
- Number
- 2
- Start Page
- 1
- End Page
- 6
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/160608
- DOI
- 10.1063/1.4866601
- ISSN
- 1070-664X
- Abstract
- Recently, field emission has attracted increasing attention despite the practical limitation that field emitters operate below the Child-Langmuir space charge limit. By introducing counter-streaming ion flow to neutralize the electron charge density, the space charge limited field emission (SCLFE) current can be dramatically enhanced. In this work, we have developed a relativistic self-consistent model for studying the enhancement of SCLFE by a counter-streaming ion current. The maximum enhancement is found when the ion effect is saturated, as shown analytically. The solutions in non-relativistic, intermediate, and ultra-relativistic regimes are obtained and verified with 1-D particle-in-cell simulations. This self-consistent model is general and can also serve as a benchmark or comparison for verification of simulation codes, as well as extension to higher dimensions.
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