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Chin. Phys. B, 2010, Vol. 19(7): 075207    DOI: 10.1088/1674-1056/19/7/075207
PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES Prev   Next  

Relation between space-charge-limiting current and electric field enhancement factor at curved surface cathode

Liu Guo-Zhi, Yang Zhan-Feng
Key Laboratory for Physical Electronics and Devices of the Ministry of Education, Xi'an Jiaotong University, Xi'an 710049, China Northwest Institute of Nuclear Technology, Xi'an 710024, China
Abstract  A two-dimensional solution of space-charge-limiting current for a high current vacuum diode with a spherical cathode is presented. The relation between space-charge-limiting current and electric field enhancement factor at the cathode surface for the diode with a curved surface cathode is also discussed. It is shown that compared with the current given by the conventional Child—Langmuir law, which describes the one-dimensional space-charege-limiting current, the two-dimensional space-charge-limiting current in such a diode is enhanced due to the electric-field enhancement along the cathode surface. Among practical parameter ranges, enhancement factor ηb approximately satisfies ηb ≈ Aβn, where β is the electric field enhancement factor at the cathode surface, and n is a constant between 1 and 2, which is confirmed to be universal for the diodes with curved surface cathodes.
Keywords:  diode      space-charge-limiting current      intense electron beam     
Received:  01 September 2009      Published:  15 July 2010
PACS:  52.75.Fk (Magnetohydrodynamic generators and thermionic convertors; plasma diodes)  

Cite this article: 

Liu Guo-Zhi, Yang Zhan-Feng Relation between space-charge-limiting current and electric field enhancement factor at curved surface cathode 2010 Chin. Phys. B 19 075207

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