| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Relation between space-charge-limiting current and electric field enhancement factor at curved surface cathode |
| Liu Guo-Zhi (刘国治), Yang Zhan-Feng (杨占峰) |
| 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 |
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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 $\eta_{\rm b}$ approximately satisfies $\eta_{\rm b} \simeq A \beta^{n}$, where $\beta$ 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.
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Received: 01 September 2009
Accepted manuscript online:
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PACS:
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52.75.Fk
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(Magnetohydrodynamic generators and thermionic convertors; plasma diodes)
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Cite this article:
Liu Guo-Zhi (刘国治), Yang Zhan-Feng (杨占峰) 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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| [1] |
Lau Y Y 2001 Phys. Rev. Lett. 87 278301
|
| [2] |
Rokhlenko A and Lebowitz J L 2003 Phys. Rev. Lett. 91 085002
|
| [3] |
Umstatted R J and Luginsland J W 2001 Phys. Rev. Lett. bf 87 145002
|
| [4] |
Watrous J J, Luginsland J W and Frese M H 2001 Phys. Plasmas 8 4202
|
| [5] |
Luginsland J W, Lau Y Y and Gilgenbach R M 1996 Phys. Rev. Lett. 77 4668
|
| [6] |
Liu G Z 2000 High Power Laser and Particle Beams 12 375 (in Chinese)
|
| [7] |
Liu G Z and Shao H 2003 Chin. Phys. 12 204
|
| [8] |
Billen J H and Young L M 1996 POISSON SUPERFISH, Los Alamos National Laboratory, Report LA-UR-96-1834
|
| [9] |
Langmuir I and Compton K T 1931 Rev. Mod. Phys. 3 191
|
| [10] |
See National Technical Information Service Document No. UCRL-77203 (In this paper a simple analytic model is used to derive a scaling relationship for beam pinch in rectangular and cylindrical geometries, and numerical calculations are presented to show the nonuniform electric fields.). Copies may be ordered from the National Technical Information Service, Springfield VA 22161
|
| [11] |
Liu G Z, Qiu S, Wang H J, Huang W H and Wang F 1997 Intense Micrwave Pulse V In: SPIE bf3158 230
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