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Limiting stable currents in bounded electron and ion streams

Bridges, W. B. and Frey, J. I. and Birdsall, C. K. (1965) Limiting stable currents in bounded electron and ion streams. IEEE Transactions on Electron Devices, 12 (5). pp. 264-272. ISSN 0018-9383.

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The classical static analysis of the infinite planar diode has been extended to include the effects of finite transverse beam size. Simple expressions have been found for the increase in maximum stable current density over that of an infinite stream for finite cylindrical and strip streams flowing between plates of infinite diodes. The results are also given in terms of stream perveance. The effect of a nonuniform distribution of current across the stream is shown to be relatively small. Experimental values of maximum stable current agree with those obtained from the analysis. A further extension of the static analysis has been made to include the effects of additional conducting plane boundaries parallel to the stream motion. For length-to-width ratios L/D less than 0.25 the tube is adequately described by the results for the infinite planar diode and for L/D greater than 4, the infinitely-long drift tube theory suffices. At intermediate values of L/D, the maximum amount of current that can be stably passed through the tube is greater than that predicted by either asymptotic theory.

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Additional Information:© 1965 IEEE. Reprinted with permission. Manuscript received January 25, 1965. The work was supported in part by the Joint Services Electronics Program under Grant No. AF-AFOSR-139-64. The authors are grateful to G. A. Becker at the University of California, Berkeley, and R. B. Hodge at Hughes Research Laboratories, Malibu, Calif., for fabrication of the experimental tubes, and to J. M. Hammer of RCA Laboratories, Princeton, N.J., and H. R. Jory of Varian Assoc., Palo Alto, Calif. for use of their experimental data. We would also like to thank our many colleagues for their discussions and suggestions.
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Official Citation:W. B. Bridges, J. I. Frey and C. K. Birdsall, "Limiting stable currents in bounded electron and ion streams," in IEEE Transactions on Electron Devices, vol. 12, no. 5, pp. 264-272, May 1965. doi: 10.1109/T-ED.1965.15492
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6627
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Deposited On:15 Dec 2006
Last Modified:02 Oct 2019 23:34

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