A Numerical Approach for Space Charge Limited Bipolar Flow in Cylindrical diodes

被引:2
作者
Liao, Mei Yan [1 ,2 ]
Yao, Ruo He [1 ,2 ]
Zhu, Ying Bin [1 ,2 ]
机构
[1] South China Univ Technol, Sch Elect & Informat Engn, Guangzhou 510006, Peoples R China
[2] South China Univ Technol, Sch Microelect, Guangzhou 510006, Peoples R China
基金
中国国家自然科学基金;
关键词
Bipolar flow; current density; space-charge-limited (SCL); CURRENT-DENSITY; ELECTRON; CURRENTS;
D O I
10.1109/JEDS.2021.3116046
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, a numerical iteration approach to resolve the space charge limited (SCL) bipolar flow problem in cylindrical geometries has been developed. Such an approach is basis for the simultaneous determination of the unknown current densities and the potential distribution. We employed this method to study the characteristics of the SCL bipolar flow. By considering a cylindrical geometry with a cathode radius R-c and an anode radius R-a, the enhancement over the classical Langmuir-Blodgett (LB) law is investigated as a function of R-c/R-a. It is found that for the bipolar flow model, the SCL current density can be given by FxJ(LB), where F and J(LB) represent the enhancement factor on account of the influence of ions and the LB law, respectively. The enhancement factor F follows a R-c/R-a scaling and gradually converges to a constant with increasing R-c/R-a. The planar bipolar flow solution is recovered in the condition where the values of R-c and R-a are much greater than that of the gap spacing.
引用
收藏
页码:1009 / 1016
页数:8
相关论文
共 48 条
[41]   A new simple algorithm for space charge limited emission [J].
Stoltz, P. H. ;
Luginsland, J. W. ;
Chap, A. ;
Smithe, D. N. ;
Cary, J. R. .
PHYSICS OF PLASMAS, 2020, 27 (09)
[42]   Onset of space charge limited current for field emission from a single sharp tip [J].
Sun, S. ;
Ang, L. K. .
PHYSICS OF PLASMAS, 2012, 19 (03)
[43]   Current and current density of a finite-width, space-charge-limited electron beam in two-dimensional, parallel-plate geometry [J].
Watrous, JJ ;
Luginsland, JW ;
Frese, MH .
PHYSICS OF PLASMAS, 2001, 8 (09) :4202-4210
[44]   Space-charge limited current in nanodiodes: Ballistic, collisional, and dynamical effects [J].
Zhang, Peng ;
Ang, Yee Sin ;
Garner, Allen L. ;
Valfells, Agust ;
Luginsland, J. W. ;
Ang, L. K. .
JOURNAL OF APPLIED PHYSICS, 2021, 129 (10)
[45]   100 years of the physics of diodes [J].
Zhang, Peng ;
Valfells, Agust ;
Ang, L. K. ;
Luginsland, J. W. ;
Lau, Y. Y. .
APPLIED PHYSICS REVIEWS, 2017, 4 (01)
[46]   Novel Scaling Laws for the Langmuir-Blodgett Solutions in Cylindrical and Spherical Diodes [J].
Zhu, Y. B. ;
Zhang, P. ;
Valfells, A. ;
Ang, L. K. ;
Lau, Y. Y. .
PHYSICAL REVIEW LETTERS, 2013, 110 (26)
[47]   Child-Langmuir law in the Coulomb blockade regime [J].
Zhu, Yingbin ;
Ang, L. K. .
APPLIED PHYSICS LETTERS, 2011, 98 (05)
[48]   Fractional-dimensional Child-Langmuir law for a rough cathode [J].
Zubair, M. ;
Ang, L. K. .
PHYSICS OF PLASMAS, 2016, 23 (07)