A simple formula for the wall potential in the plasma sheath

B. P. Pandey; S. V. Vladimirov

doi:10.1209/0295-5075/94/55002

A simple formula for the wall potential in the plasma sheath

B. P. Pandey, S. V. Vladimirov

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

An analytical formula for the plasma wall potential in a planer sheath is presented. It is shown that there is no relative error between the analytical and numerical solutions for the large negative wall potential. Even when the wall potential is not large, the relative error is only 3%. Using this analytical formula in Child's law, we show that the sheath width, d (in the unit of Debye length, λ_D) is proportional to the Mach number M, i.e. d/λ_D=0.5 M. In the low- and high-temperature plasma experiments, the present analytical formula could be utilised to accurately estimate the sheath width.

Original language	English
Article number	55002
Pages (from-to)	1-4
Number of pages	4
Journal	EPL
Volume	94
Issue number	5
DOIs	https://doi.org/10.1209/0295-5075/94/55002
Publication status	Published - Jun 2011

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A simple formula for the wall potential in the plasma sheath

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