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Current and current density of a finite-width, space-charge-limited electron beam in two-dimensional, parallel-plate geometry (2001)

Watrous, John J. ; Luginsland, John W. ; Frese, Michael H.

[S.l.] : American Institute of Physics (AIP)

Physics of Plasmas 8 (2001), S. 4202-4210

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Details

ISSN: 1089-7674

Quelle: AIP Digital Archive

Thema: Physik

Notizen: The current carried by a steady-state, finite-width beam produced by space-charge-limited emission in two-dimensional parallel plate geometry is known to diverge strongly from estimates based on the classic one-dimensional Child–Langmuir problem. The two-dimensional problem presents formidable analytic difficulties, but a numerical approach to this problem has been developed. The approach simultaneously determines the electrostatic potential and the unknown current density profile. Calculations show that the total current is a function of the dimensionless ratio of beam width (w) to anode–cathode gap (d), but that the current density profile varies with both w and d separately. © 2001 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.1391262

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