Space-charge limited current for 1-D cylindrical diodes

Xupeng Chen, James Dickens, Eun Ha Choi, M. Kristiansen

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations


By introducing a physics approximation method into analyzing the nonlinear Poisson's equation, an analytical expression for the space-charge-limited current density for a one-dimensional (1-D) cylindrical diode has been investigated and developed. This expression is different from Child-Langmuir law for the planar diode and is simpler than Langmuir-Blodgett law for the cylindrical diode. This expression builds an explicit connection between the current density and the physical parameters, which is helpful in optimizing the design of the cylindrical vacuum diode. In addition, a comparison between our analytical result and Langmuir-Blodgett law shows that the physics approximation method is valid in nonlinear differential equation analysis and can be used in other similar cases. Applying the approximation method, we get the relativistic theory corrected current for 1-D cylindrical diodes.

Original languageEnglish
Number of pages4
StatePublished - 2003
Event14th IEEE International Pulsed Power Conference - Dallas, TX, United States
Duration: Jun 15 2003Jun 18 2003


Conference14th IEEE International Pulsed Power Conference
Country/TerritoryUnited States
CityDallas, TX


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