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Simple theory of space-charge-limited current between concentric sphere

Xiao Liu Liu Pu-Kun Li Fei Yi Hong-Xia Wan Xiao-Sheng

Simple theory of space-charge-limited current between concentric sphere

Xiao Liu, Liu Pu-Kun, Li Fei, Yi Hong-Xia, Wan Xiao-Sheng
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  • Abstract views:  4098
  • PDF Downloads:  793
  • Cited By: 0
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  • Received Date:  21 October 2010
  • Accepted Date:  22 November 2010
  • Published Online:  15 September 2011

Simple theory of space-charge-limited current between concentric sphere

  • 1. (1)Key Laboratory of High Power Microwave Sources and Technologies, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China; (2)Key Laboratory of High Power Microwave Sources and Technologies, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China;Graduate University of Chinese Academy of Sciences, Beijing 100049, China

Abstract: 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.

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