Open AccessSimple theory of space-charge-limited current between concentric sphere
Author(s) -
Li Fei,
Xiao Liu,
Pu-Kun Liu,
Hongxia Yi,
Wan Xiao-Sheng
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.097901
Subject(s) - concentric , space charge , physics , current (fluid) , coaxial , diode , space (punctuation) , planar , charge (physics) , plane (geometry) , classical mechanics , geometry , computer science , mathematics , quantum mechanics , telecommunications , electron , computer graphics (images) , thermodynamics , operating system
In high-power microwave diode design, the space-charge-limited current is important because of its relation to the diode property and the formation of the virtual cathode. Although the Langmuir–Blodgett law, as a numerical solution, is helpful, a simple functional expression is more convenient for practical research and can avoide the divergence of the series for large R\-c/R\-a. First principle is used to generalize two-dimensional space-charge-limited current for planar plane capacitor and coaxial cylinders, and its reliability has been examined adequately. In this paper we obtain the functional expression of space-charge-limited current for concentric sphere, and the space-charge field factor in this expression by comparing the classical Langmuir current with the current from concentric sphere.