DocumentCode :
1067843
Title :
Weak magnetic-field expansion for the self-consistent steady-state potential in a planar crossed-field diode
Author :
Rosenthal, Stephen E. ; Crawford, Frederick W. ; Harker, Kenneth J.
Author_Institution :
Stanford University, Stanford, CA, USA
Volume :
27
Issue :
2
fYear :
1980
fDate :
2/1/1980 12:00:00 AM
Firstpage :
472
Lastpage :
482
Abstract :
In a planar crossed-field diode, the steady-state flow in the space-charge-limited régime is governed by a nonlinear integrodifferential equation. We have derived a generalized Fry-Langrnuir equation for the potential which is self-consistent to second order in the normalized magnetic field µ. The small-µ crossed-field potential may be considered as the Fry-Langmuir potential of the corresponding unmagnetized diode, i.e., with the same diode parameters but with zero magnetic field, plus the steady-state second-order perturbation produced by the magnetic field. Owing to the symmetry of the unbounded, planar geometry, there is no first-order perturbation. From four universal functions (the Fry-Langrnuir function and three additional functions we have derived), one can determine the potential and density profiles of any space-charge-limited planar crossed-field diode for which µ is small. It is shown that the crossed-field potential minimum is deepened and shifted toward the anode with respect to the unmagnetized potential minimum.
Keywords :
Anodes; Cathodes; Diodes; Guns; Magnetic fields; Magnetic separation; Noise level; Nonlinear equations; Steady-state; Voltage;
fLanguage :
English
Journal_Title :
Electron Devices, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9383
Type :
jour
DOI :
10.1109/T-ED.1980.19886
Filename :
1480679
Link To Document :
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