Two-dimensional Child-Langmuir law of planar diode with finite-radius emitter
Release Time:2025-04-30
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- Date:
- 2025-04-30
- Title of Paper:
- Two-dimensional Child-Langmuir law of planar diode with finite-radius emitter
- Journal:
- Applied Surface Science
- Summary:
- A planar diode with finite-radius emitter is studiedwith particle-in-cell simulations to extend the classical one-dimensional (1D) Child–Langmuir law to two-dimensions. It is found that the 2D space–charge-limited current density in units of the classical 1D value follows a monotonically decreasing function of the dimensionless ratio of emitter radius (R) to gap separation (D), and the function can be extended to relativistic regimewithout significantmodification. It is also verified that Lau's analytical prediction of
the 2D Child–Langmuir law is in better agreement with the simulation results in comparison with Rokhlenko's
- Co-author:
- Yongdong Li, Hongguang Wang, Chunliang Liu, et. al
- Volume:
- 251
- Page Number:
- 19-23
- Translation or Not:
- No
- Date of Publication:
- 2005-04-18