Title :
Two dimensional Child-Langmuir law
Author :
McGee, S. ; Lau, Y.Y. ; Gilgenbach, Ronald M. ; Luginsland, John W.
Author_Institution :
Michigan Univ., Ann Arbor, MI, USA
Abstract :
Summary form only given. By considering uniform emission of electrons over a finite strip of width W in a planar gap of gap separation D, we extend the classical 1-dimensional Child-Langmuir law to 2 dimensions. The analysis is done with two simulation codes, MAGIC and OOPIC; which yield similar results. These numerical results have been synthesized into a scaling law~3, which expresses the non-relativistic 2-dimensional limiting current density, J/sub CL/(2), in units of the classical 1-dimentional Child-Langmuir value, J/sub CL/(1).
Keywords :
current density; electron beam focusing; electron emission; electron optics; self-focusing; MAGIC; OOPIC; electrons; finite strip; gap separation; nonrelativistic 2-dimensional limiting current density; scaling law; self magnetic field effects; two dimensional Child-Langmuir law; uniform emission; Analytical models; Circuits; Current density; Electron emission; Equations; Laboratories; Magnetic analysis; Magnetic fields; Multichip modules; Strips;
Conference_Titel :
Plasma Science, 1997. IEEE Conference Record - Abstracts., 1997 IEEE International Conference on
Conference_Location :
San Diego, CA, USA
Print_ISBN :
0-7803-3990-8
DOI :
10.1109/PLASMA.1997.604805
