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

doi:10.1063/1.1743309

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

Electrical and Computer Engineering

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

25 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 language	English
Pages (from-to)	3278-3283
Number of pages	6
Journal	Physics of Plasmas
Volume	11
Issue number	6
DOIs	https://doi.org/10.1063/1.1743309
State	Published - Jun 2004

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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.",

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AU - Choi, Eun Ho

AU - Kristiansen, M.

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AB - 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.

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

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