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Title: Generalized space-charge limited current and virtual cathode behaviors in one-dimensional drift space

This paper reports the space-charge limited current (SLC) and virtual cathode behaviors in one-dimensional grounded drift space. A simple general analytical solution and an approximate solution for the planar diode are given. Through a semi-analytical method, a general solution for SLC in one-dimensional drift space is obtained. The behaviors of virtual cathode in the drift space, including dominant frequency, electron transit time, position, and transmitted current, are yielded analytically. The relationship between the frequency of the virtual cathode oscillation and the injected current presented may explain previously reported numerical works. Results are significant in facilitating estimations and further analytical studies.
Authors:
;  [1] ;  [2] ; ; ;  [3]
  1. Key Laboratory for Physical Electronics and Devices of the Ministry of Education, Xi'an Jiaotong University, Xi'an 710049 (China)
  2. (China)
  3. Northwest Institute of Nuclear Technology, P.O. Box 69-13, Xi'an 710024 (China)
Publication Date:
OSTI Identifier:
22218567
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 10; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; APPROXIMATIONS; CATHODES; ELECTRIC CURRENTS; ELECTRONS; ONE-DIMENSIONAL CALCULATIONS; OSCILLATIONS; SEMICONDUCTOR DIODES; SPACE CHARGE