Kirstein, PT;
(1959)
Paraxial Formulation of the Equations of Electrostatic Charge Flow.
Journal of Applied Physics
, 30
(7)
pp. 967-975.
10.1063/1.1776999.
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Abstract
The equations of electrostatic irrotational space‐charge flow are set up in a paraxial manner. Given an arbitrary trajectory, and the potential distribution along that trajectory, the variation of such quantities as potential and beam convergence in the vicinity of the specified trajectory are investigated. A detailed analysis is carried out for beams from a space‐charge‐limited cathode in the form of a cone. The agreement between the paraxial theory and the exact theory for particular beams is investigated. Numerical results are presented for beams from a conical cathode which predict beams with a microperveance of about 15 and a very large area convergence. It is felt that by use of this method much higher perveances and beam convergences could be obtained for hollow and sheet beams than have heretofore been possible.
| Type: | Article |
|---|---|
| Title: | Paraxial Formulation of the Equations of Electrostatic Charge Flow |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1063/1.1776999 |
| Publisher version: | https://doi.org/10.1063/1.1776999 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher's terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10079729 |
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