DocumentCode
2566804
Title
Exact formulas for space charge limited flow in a planar diode: New relativistic Child-Langmuir law
Author
Lin, M.C.
Author_Institution
NSSL, Fu Jen Catholic Univ., Taipei, Taiwan
fYear
2012
fDate
8-13 July 2012
Abstract
In this work, we have derived the exact formulas for the relativistic Child-Langmuir law to describe a space charge-limited flow in a planar diode under arbitrary applied voltages. Two hypergeometric functions are obtained to relate the classic Child-Langmuir law and the ultra-relativistic formula to exact relativistic Child-Langmuir law. Both nonrelativistic-to-relativistic hypergeometric function and ultra-relativistic-to-relativistic hypergeometric function are found to be dependent on applied voltages only. The formulas are elegant, compact, and intuitive, and can be easily employed.
Keywords
plasma diodes; plasma transport processes; relativistic plasmas; space charge; hypergeometric functions; nonrelativistic-to-relativistic hypergeometric function; planar diode; relativistic Child-Langmuir law; space charge limited flow; ultra-relativistic-to-relativistic hypergeometric function; Cities and towns; Educational institutions; Nuclear Instruments - n42; Space charge;
fLanguage
English
Publisher
ieee
Conference_Titel
Plasma Science (ICOPS), 2012 Abstracts IEEE International Conference on
Conference_Location
Edinburgh
ISSN
0730-9244
Print_ISBN
978-1-4577-2127-4
Electronic_ISBN
0730-9244
Type
conf
DOI
10.1109/PLASMA.2012.6384018
Filename
6384018
Link To Document