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Calculation of stationary electron beams with space-charge-limited current

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Radiophysics and Quantum Electronics Aims and scope

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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Literature Cited

  1. V. N. Manuilov and Sh. e. Tsimring, Radiotekh. Élektron.,23, No. 7, 1486 (1978).

    Google Scholar 

  2. G. T. golovin, Zh. Vychisl. Mat. Teor. Fiz.,25, No. 8, 1220 (1985).

    Google Scholar 

  3. G. T. Golovin, Zh. Vychisl. Mat. Teor. Fiz.,23, No. 6, 1427 (1983).

    Google Scholar 

  4. V. M. Sveshnikov, Preprint CC SD AS USSR No. 289, Novosibrisk (1988).

  5. J. Dennis and R. Schnabel, Numerical Methods of Unconditional Optimization and Solution of Nonlinear Equations [Russian translation], Mir, Moscow (1988), p. 188.

    Google Scholar 

  6. V. K. Lygin, V. N. Manuilov, and Sh. E. Tsimring, Élektron. Tekh., Ser. 1, Élektron. SVCh, No. 7, 36 (1978).

    Google Scholar 

  7. M. I. Kalitkin, Numerical Methods [in Russian], Nauka, MOscow (1978), p. 512.

    Google Scholar 

  8. V. K. Lygin and Sh. E. Tsimring, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,21, No. 9, 1363 (1978).

    Google Scholar 

  9. V. N. Manuilov and Sh. E. Tsimring, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,24, No. 4, 491 (1981).

    Google Scholar 

  10. K. J. Harker, J. Appl. Phys.,31, 2165 (1960).

    Google Scholar 

  11. A. V. Vashkovskii et al., Radiotekh. Élektron.,31, No. 4, 783 (1986).

    Google Scholar 

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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

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