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11 - Beam-Wave Interaction

Published online by Cambridge University Press:  27 April 2018

Richard G. Carter
Affiliation:
Lancaster University
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Summary

The spent electron beam in an electron tube carries power which must be dissipated safely as heat. In gridded tubes, magnetrons and most CFAs the power is dissipated on the anode. In linear-beam tubes and gyrotrons the beam is allowed to expand to give a reduced power density on a separate collector electrode. In every case the surface temperature must be low enough to avoid physical damage or out-gassing of the collector surface. The collecting electrode may be cooled by conduction, air or liquid flow or liquid boiling. The power dissipated in the collector of a linear-beam tube can be reduced by using a multi-element depressed collector in which the collecting electrodes are held at negative potentials with respect to the body of the tube. In these collectors it is necessary to ensure that the performance is not reduced by the emission of secondary electrons. The design of collectors is discussed including the effect of the distribution of velocities in the spent electron beam.
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Publisher: Cambridge University Press
Print publication year: 2018

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References

Hahn, W., ‘Small signal theory of velocity modulated electron beams’, Gen. Elec. Rev, vol. 42, pp. 258270, 1939.Google Scholar
Ramo, S., ‘The electronic-wave theory of velocity-modulation tubes’, Proceedings of the IRE, vol. 27, pp. 757763, 1939.CrossRefGoogle Scholar
Beck, A. H. W., Space-Charge Waves and Slow Electromagnetic Waves. London: Pergamon Press, 1958.Google Scholar
Trotman, R. E., Longitudinal Space-Charge Waves. London: Chapman & Hall, 1966.Google Scholar
Vlaardingerbroek, M. T. and Weimer, K. R. U., ‘Beam-plasma amplifier tubes’, Phillips Research Review, vol. 27, pp. 275284, 1966.Google Scholar
Spangenburg, K., Vacuum Tubes. New York: McGraw-Hill, 1948.Google Scholar
Webster, D. L., ‘Cathode-ray bunching’, Journal of Applied Physics, vol. 10, pp. 501508, 1939.CrossRefGoogle Scholar
van Iperen, B. B. and Nunnink, H. J. C. A., ‘Harmonics in velocity-modulated cylindrical electron beams’, Philips Research Reports, vol. 20, pp. 432461, 1965.Google Scholar
Branch, G. M., Jr., ‘Electron beam coupling in interaction gaps of cylindrical symmetry’, IRE Transactions on Electron Devices, vol. 8, pp. 193207, 1961.CrossRefGoogle Scholar
Craig, E. J., ‘The beam-loading admittance of gridless klystron gaps’, IEEE Transactions on Electron Devices, vol. 14, pp. 273278, 1967.CrossRefGoogle Scholar
Caryotakis, G., ‘Klystrons’, in Barker, R. J. et al., eds, Modern Microwave and Millimeter-Wave Power Electronics. Piscataway, NJ: IEEE Press, pp. 107–170, 2005.Google Scholar
Brewer, G. R., ‘Some effects of magnetic field strength on space-charge-wave propagation’, Proceedings of the IRE, vol. 44, pp. 896903, 1956.CrossRefGoogle Scholar
MacKenzie, L. A., ‘Space charge waves in finite magnetic fields’, in The Fourth International Conference on Microwave Tubes, The Hague, The Netherlands, pp. 663–668, 1962.CrossRefGoogle Scholar
Srivastava, V. and Carter, R. G., ‘Effect of boundaries on the space charge potential in coupled cavity travelling wave tubes’, IEE Proceedings I: Solid-State and Electron Devices, vol. 133, pp. 185188, 1986.Google Scholar
Louisell, W. H. and Pierce, J. R., ‘Power flow in electron beam devices’, Proceedings of the IRE, vol. 43, pp. 425427, 1955.CrossRefGoogle Scholar
Gunshor, R. L., ‘Decay of space-charge waves on electron beams’, Journal of Applied Physics, vol. 37, pp. 19041911, 1966.CrossRefGoogle Scholar
Caulton, M., ‘Damping of waves in electron beams’, Journal of Applied Physics, vol. 38, pp. 18391855, 1967.CrossRefGoogle Scholar
Caulton, M. et al., ‘Experimental evidence of Landau damping in electron beams’, Journal of Applied Physics, vol. 33, pp. 800803, 1962.CrossRefGoogle Scholar
Branch, G. M. and Mihran, T. G., ‘Plasma frequency reduction factors in electron beams’, IRE Transactions on Electron Devices, vol. 2, pp. 311, 1955.CrossRefGoogle Scholar
Branch, G. M., Jr. et al., ‘Space-charge wavelengths in electron beams’, IEEE Transactions on Electron Devices, vol. 14, pp. 350357, 1967.CrossRefGoogle Scholar
Louisell, W. H., Coupled Mode and Parametric Electronics. New York: Wiley, 1960.Google Scholar
Bers, A., ‘Linear space-charge theory of gap interaction between an electron beam and electromagnetic fields’, in Microwave and Optical Generation and Amplification, Munich, pp. 53–60, 1960.Google Scholar
Huang, C.-L. et al., ‘AC-space-charge effects on gap coupling coefficient of a klystron cavity’, IEEE Transactions on Plasma Science, vol. 40, pp. 828834, 2012.CrossRefGoogle Scholar
Craig, E. J., ‘Relativistic beam-loading admittance’, IEEE Transactions on Electron Devices, vol. 16, pp. 139139, 1969.CrossRefGoogle Scholar
Faillon, G., ‘Klystrons de puissance à large bande’, Revue Technique Thomson-CSF, vol. 8, p. 139, June 1976.Google Scholar
Pierce, J. R., Traveling-Wave Tubes. Princeton, NJ: D. van Nostrand, 1950.Google Scholar
Pierce, J. R., ‘Theory of the beam-type traveling-wave tube’, Proceedings of the IRE, vol. 35, pp. 111123, 1947.CrossRefGoogle Scholar
Birdsall, C. K. and Brewer, G. R., ‘Traveling wave tube characteristics for finite values of C’, Transactions of the IRE Professional Group on Electron Devices, vol. 1, pp. 111, 1954.Google Scholar
Brewer, G. R. and Birdsall, C. K., ‘Traveling-wave tube propagation constants’, IRE Transactions on Electron Devices, vol. 4, pp. 140144, 1957.CrossRefGoogle Scholar
Kino, G. S. et al., ‘Small-signal and large-signal theories for the coupled-cavity TWT’, in 6th International Conference on Microwave and Optical Generation and Amplification, Cambridge, UK, pp. 49–53, 1966.Google Scholar
Bobroff, D. L., ‘The buildup of oscillations in an electron beam backward-wave oscillator’, IEEE Transactions on Electron Devices, vol. 12, pp. 307312, 1965.CrossRefGoogle Scholar
Nilsson, B. O. and Hagstrom, C. E., ‘A two wave theory of traveling-wave tubes and backward-wave oscillations’, IEEE Transactions on Electron Devices, vol. 22, pp. 869880, 1975.CrossRefGoogle Scholar
Minami, K. et al., ‘Analysis of starting currents in a backward wave oscillator with finite structure length’, Journal of the Physics Society Japan, vol. 61, pp. 35663575, 1992.CrossRefGoogle Scholar
Johnson, H. R., ‘Backward-wave oscillators’, Proceedings of the IRE, vol. 43, pp. 684697, 1955.CrossRefGoogle Scholar
Datta, S. K. et al., ‘Nonlinear Eulerian hydrodynamical analysis of helix traveling-wave tubes’, IEEE Transactions on Electron Devices, vol. 45, pp. 20552062, 1998.CrossRefGoogle Scholar
Wöhlbier, J. G. et al., ‘The multifrequency spectral Eulerian (MUSE) model of a traveling wave tube’, IEEE Transactions on Plasma Science, vol. 30, pp. 10631075, 2002.CrossRefGoogle Scholar
Motta, C. C., ‘A large-signal analysis of a ring-bar TWT’, in IEEE 34th International Conference on Plasma Science, pp. 875–875, 2007.Google Scholar
Antonsen, T. M., Jr. et al., ‘Advances in modeling and simulation of vacuum electronic devices’, Proceedings of the IEEE, vol. 87, pp. 804839, 1999.CrossRefGoogle Scholar
Carlsten, B. E. and Tallerico, P. J., ‘Self-consistent klystron simulations’, Nuclear Science, IEEE Transactions on Nuclear Science, vol. 32, pp. 28372839, 1985.CrossRefGoogle Scholar
Vaughan, J. R. M., ‘Calculation of coupled-cavity TWT performance’, IEEE Transactions on Electron Devices, vol. 22, pp. 880890, 1975.CrossRefGoogle Scholar
Srivastava, V. and Carter, R. G., ‘A fast large-signal model for coupled-cavity TWTs’, IEEE Transactions on Electron Devices, vol. 35, pp. 20682076, November 1988.CrossRefGoogle Scholar
Chernin, D. et al., ‘A three-dimensional multifrequency large signal model for helix traveling wave tubes’, IEEE Transactions on Electron Devices, vol. 48, pp. 311, 2001.CrossRefGoogle Scholar
Shintake, T., ‘FCI – field charge interaction program for high power klystron simulations’, in Proceedings of the 1989 IEEE Particle Accelerator Conference, vol. 1, pp. 94–96, 1989.CrossRefGoogle Scholar
Hechtel, J. R., ‘The effect of potential beam energy on the performance of linear beam devices’, IEEE Transactions on Electron Devices, vol. 17, pp. 9991009, 1970.CrossRefGoogle Scholar
Edgcombe, C. J., ‘Increased efficiency for klystron amplifiers’, IEE Journal on Solid-State and Electron Devices, vol. 1, pp. 6268, 1977.CrossRefGoogle Scholar
Mihran, T. G., ‘The effect of space charge on bunching in a two-cavity klystron’, IRE Transactions on Electron Devices, vol. 6, pp. 5464, 1959.CrossRefGoogle Scholar
Kosmahl, H. G. and Albers, L. U., ‘Three-dimensional evaluation of energy extraction in output cavities of klystron amplifiers’, IEEE Transactions on Electron Devices, vol. 20, pp. 883890, 1973.CrossRefGoogle Scholar
Webber, S. E., ‘Ballistic analysis of a two-cavity finite beam klystron’, IRE Transactions on Electron Devices, vol. 5, pp. 98108, 1958.CrossRefGoogle Scholar
Webber, S. E., ‘Large signal bunching of electron beams by standing-wave and traveling-wave systems’, IRE Transactions on Electron Devices, vol. 6, pp. 365372, 1959.CrossRefGoogle Scholar
Webber, S. E., ‘Some calculations on the large signal energy exchange mechanisms in linear beam tubes’, IRE Transactions on Electron Devices, vol. 7, pp. 154162, 1960.CrossRefGoogle Scholar
Hechtel, J. R., ‘DC-to-RF energy conversion in ungridded klystron gaps’, IEEE Transactions on Electron Devices, vol. 16, pp. 212217, 1969.CrossRefGoogle Scholar
Vaughan, J. R. M., ‘A model for the klystron cavity gap’, IEEE Transactions on Electron Devices, vol. 32, pp. 24822484, 1985.CrossRefGoogle Scholar
Kageyama, T., ‘A large-signal analysis of broad-band klystrons with design applications’, IEEE Transactions on Electron Devices, vol. ED-24, pp. 312, 1977.CrossRefGoogle Scholar
Carlsten, B. E. et al., ‘Accuracy of the equivalent circuit model using a fixed beam impedance for klystron gain cavities’, IEEE Transactions on Plasma Science, vol. 26, pp. 17451749, 1998.CrossRefGoogle Scholar

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  • Beam-Wave Interaction
  • Richard G. Carter, Lancaster University
  • Book: Microwave and RF Vacuum Electronic Power Sources
  • Online publication: 27 April 2018
  • Chapter DOI: https://doi.org/10.1017/9780511979231.011
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  • Beam-Wave Interaction
  • Richard G. Carter, Lancaster University
  • Book: Microwave and RF Vacuum Electronic Power Sources
  • Online publication: 27 April 2018
  • Chapter DOI: https://doi.org/10.1017/9780511979231.011
Available formats
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Save book to Google Drive

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  • Beam-Wave Interaction
  • Richard G. Carter, Lancaster University
  • Book: Microwave and RF Vacuum Electronic Power Sources
  • Online publication: 27 April 2018
  • Chapter DOI: https://doi.org/10.1017/9780511979231.011
Available formats
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