Geodesic
Spherical and cylindrical diodes modeling with the space charges effect
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 2 (2013), pp. 121-127

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The space charge effect is often neglected, but when the current density is high, it begins to play an essential role in current control. This article is devoted on the study of the space charges influence on the electron field emission. The electrostatic potential distributions for the vacuum diode emission systems are calculated. Diode systems, which can be readily constructed , are mainly used for the study of the emission properties of novel materials. Moreover they some effective applications in vacuum nano- and microelectronics. The boundary problem for the Poisson's equation is solved. The right-hand member of the Poisson's equation is approximated by the piecewise constant function and determined by the charge conservation law and the energy conservation law. Graphics of the potential distribution and space-charge density are presented. Bibliogr. 12. Il. 2.
Keywords: field emission, space charges
Mots-clés : diode, Poisson's equation. 
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     author = {M. A. Makarova},
     title = {Spherical and cylindrical diodes modeling with the space charges effect},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {121--127},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2013_2_a12/}
}
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M. A. Makarova. Spherical and cylindrical diodes modeling with the space charges effect. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 2 (2013), pp. 121-127. http://geodesic.mathdoc.fr/item/VSPUI_2013_2_a12/