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

Journal Article · Tue Oct 15 04:00:00 EDT 2013 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4826590· OSTI ID:22218567

Yang, Zhanfeng; Liu, Guozhi ^[1]; Shao, Hao; Chen, Changhua; Sun, Jun ^[2]

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1. Key Laboratory for Physical Electronics and Devices of the Ministry of Education, Xi'an Jiaotong University, Xi'an 710049 (China)
2. Northwest Institute of Nuclear Technology, P.O. Box 69-13, Xi'an 710024 (China)

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.

• OSTI ID: 22218567
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 10 Vol. 20; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
APPROXIMATIONS
CATHODES
ELECTRIC CURRENTS
ELECTRONS
ONE-DIMENSIONAL CALCULATIONS
OSCILLATIONS
SEMICONDUCTOR DIODES
SPACE CHARGE