Abstract
The calculation method is based on direct satisfaction of the condition of a zero normal electric field on the emitter by means of an iteration procedure that makes it unnecessary to obtain self-consistent solutions of the stationary-beam equations in individual iterations. The method employs auxiliary potential and space-charge nets for solution of the boundary-value problem and eliminates the idle nodes of the auxiliary potential net. The method is effective in the analysis of curvilinear beams and has been tested in the design of a Meltzer gun with circular trajectories and a strongly nonuniform transverse current distribution.
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Additional information
Institute of Applied Physics, Russian Academy of Sciences. Translated from Izvestyya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 35, No. 9-10, pp. 846–856, September–October, 1992.
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Manuilov, V.N., Raiskii, B.V. & Tsimring, S.E. Calculation of stationary electron beams with space-charge-limited current. Radiophys Quantum Electron 35, 545–551 (1992). https://doi.org/10.1007/BF01044976
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DOI: https://doi.org/10.1007/BF01044976