Abstract
The condition for geometrical similarity of trajectories given by Dryden has been modified to be relativistically correct, thus allowing the complete Dryden-Harker procedure to be used to design electrodes for relativistic electron streams of limited velocity spread. The magnetic field in the cathode region has been modelled by an analytic expression, to allow converging field to be simulated while similarity of the magnetic force is retained. Examples are given of the use of the revised method for design of high-voltage and external electron guns for gyrotrons.
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References
Pierce, J. R., 1954, Theory and Design of Electron Beams (Van Nostrand).
Dryden, V.W., 1962, J A P33, 3118–3124.
Harker, K.J., 1960, J A P31, 2165–2170; 1962, J A P33, 1861–1863.
Kirstein, P.T., Kino, G.S. and Waters, W.E., 1967, Space Charge Flow (McGraw Hill).
Manuilov, V.N. and Tsimring, Sh. E., 1978, R. Eng. El. Phys.23(7), 1486(Russian), 111–119 (English).
Fliflet, A.W., Dudas, A.J., Read, M.E. and Baird, J.M., 1982, Int. J. Electronics53, 743–754.
Barroso, J.J., Montes, A. and Silva, C.A.B., 1985, Int. J. Electronics59, 33–47.
Finn, J.M., Fliflet, A.W. and Manheimer, W.M., 1986, Int. J. Electronics61, 985–1003.
Lawson, W., Calame, J., Granatstein, V.L, Park, G.S, Striffler, C.D and Neilson, J., 1986, Int. J. Electron.,62, 969–984.
Edgcombe, C.J., 1988a, Int. J. Electron.,64, 49–61.
Edgcombe, C.J., 1988b, Proc. IEE,135 A, 125–134.
Kuftin A.N., Lygin, V.K., Manuilov, V.N., Raisky, B.V., Solujanova, E.A. and Tsimring, Sh. E., 1993, Int. J. Infra-Red and Millimetric Waves,14, 783–816.
Borie, E., 1993, private communication.
Abramowitz, M. and Stegun, I., Handbook of Mathematical Functions, Dover, 1968, equation 8.1.2.
Edgcombe, C. J., 1995, Int. J. Infra-Red and Millimetric Waves,16, 83–99.
Thumm, M., Borie, E., Dammertz, G., Grüber, C., Höchtl, O., Iatrou, C.T., Kern, S., Kuntze, M., Möbius, A., Nickel, H-U., Piosczyk, B. and Wien, A., 1995, 9th Joint Workshop on Electron Cyclotron Emission and Electron Cyclotron Resonance Heating, Borrego Springs.
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Edgcombe, C.J. Synthesis of electrodes for relativistic electron streams. Int J Infrared Milli Waves 16, 1491–1511 (1995). https://doi.org/10.1007/BF02274812
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DOI: https://doi.org/10.1007/BF02274812