Journal article
Analytic expression for the electric potential in the plasma sheath
IEEE transactions on plasma science, Vol.17(6), pp.884-888
12/1989
DOI: 10.1109/27.41228
Abstract
An expression for the spatial dependence of the electric potential in a collisionless and source-free planar plasma sheath is presented. This expression is derived by analogy with Child's law and approaches Child's law asymptotically as the potential drop phi /sub W/ across the sheath becomes large, mod e phi /sub W//kT/sub e/ mod >10/sup 4/. Here k is Boltzmann's constant, T/sub e/ is the electron temperature, and e is the electronic charge. Comparison with numerical solutions of the model equations indicates that the sheath thickness and potential variation predicted by this improved Child's law are accurate for mod e phi /sub W//kT/sub e/ mod >10. In contrast, the authors find that Child's law is accurate only when mod e phi /sub W//kT/sub e/ mod >10/sup 4/.< >
Details
- Title: Subtitle
- Analytic expression for the electric potential in the plasma sheath
- Creators
- T.E Sheridan - University of IowaJ.A Goree - University of Iowa
- Resource Type
- Journal article
- Publication Details
- IEEE transactions on plasma science, Vol.17(6), pp.884-888
- Publisher
- IEEE
- DOI
- 10.1109/27.41228
- ISSN
- 0093-3813
- eISSN
- 1939-9375
- Language
- English
- Date published
- 12/1989
- Academic Unit
- Physics and Astronomy; Mechanical Engineering
- Record Identifier
- 9984199760902771
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