Abstract
The process of electron emission in a vacuum diode with curved cathode in the space-charge-limited current regime has been theoretically studied. The space charge density, electric field, and velocity field distributions in the interelectrode gap are determined by means of expansion with respect to a small parameter representing the ratio of the characteristic transverse and longitudinal scales. Based on these results, the current density distribution over the cathode surface is analytically described. The analytical results are compared to the data of numerical calculations available in the literature.
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References
C. D. Child, Phys. Rev. 32, 492 (1911).
I. Langmuir, Phys. Rev. 2, 450 (1913).
R. J. Umstattd and J. W. Luginsland, Phys. Rev. Lett. 87, 145 002 (2001).
P. Kirshtein, G. S. Kino, and W. E. Waters, Space-Charge Flow (McGraw-Hill, New York, 1967).
G. Sh. Boltachev and N. M. Zubarev, Europhys. Lett. 76, 36 (2006).
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Original Russian Text © G.Sh. Boltachev, N.M. Zubarev, 2008, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2008, Vol. 34, No. 21, pp. 60–66.
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Boltachev, G.S., Zubarev, N.M. Electron emission in a flat cathode-curved anode system in the space-charge-limited current regime. Tech. Phys. Lett. 34, 934–936 (2008). https://doi.org/10.1134/S1063785008110102
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DOI: https://doi.org/10.1134/S1063785008110102