Approximate analytical solutions for the space-charge-limited current in one-dimensional and two-dimensional cylindrical diodes

Xupeng Chen, James Dickens, L. L. Hatfield, Eun Ho Choi, M. Kristiansen

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

A physical approximation method, the static electric field enhancement method, to get an approximate result for the space-charge-limited current in a cylindrical diode, with a precision comparable to the Langmuir-Blodgett numerical results was introduced. A correction for the space-charge-limited current in a two-dimensional cylindrical diodes was obtained within a limitation. Langmuir-Blodgett law was used to obtained expressions for the diode current, the diode impedance and the virtual cathode oscillation frequency. The Langmuir-Blodgett law is a 1-D numerical expression without any relativistic correction and was applicable to non-relativistic potentials.

Original languageEnglish
Pages (from-to)3278-3283
Number of pages6
JournalPhysics of Plasmas
Volume11
Issue number6
DOIs
StatePublished - Jun 2004

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