Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-04-30T20:16:11.485Z Has data issue: false hasContentIssue false

9 - Electron Guns

Published online by Cambridge University Press:  27 April 2018

Richard G. Carter
Affiliation:
Lancaster University
Get access

Summary

Uniform electron flow in the presence of space-charge can be obtained by using static electric and magnetic fields which are perpendicular to each other and to the direction of electron motion. The electrodes providing the electric field may be parallel planes or concentric cylinders and electrons may be emitted from the whole of the surface of the negative electrode. If the magnetic field is increased from zero a magnetron diode conducts initially but becomes cut-off above a certain field strength. Theoretical steady state solutions for the electron trajectories can be found in both cases. Alternatively a sheet electron beam may be injected into the space between the electrodes. The physics of magnetron diodes has been the subject of much debate and is difficult to simulate because of the effects of secondary electron emission from the cathode caused by back-bombardment. The experimental evidence of the behaviour of cut-off magnetron diodes shows that a steady state solution does not exist. It appears that the electron cloud is subject to collective oscillations which enable electrons to reach the anode in contradiction to simple theory.
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2018

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Pierce, J. R., Theory and Design of Electron Beams. New York: D. van Nostrand, 1949.Google Scholar
Müller, M. B., ‘New points of view in the design of electron guns for cylindrical beams of high space charge’, Journal of the British Institution of Radio Engineers, vol. 16, pp. 8394, 1956.CrossRefGoogle Scholar
Tiwary, U. and Basu, B. N., ‘Noniterative method for the synthesis of convergent Pierce electron guns’, IEEE Transactions on Electron Devices, vol. 34, pp. 12181222, 1987.CrossRefGoogle Scholar
Basu, B. N., Electromagnetic Theory and Applications in Beam-Wave Electronics. Singapore: World Scientific, 1996.CrossRefGoogle Scholar
Vaughan, J. R. M., ‘Synthesis of the Pierce gun’, IEEE Transactions on Electron Devices, vol. 28, pp. 3741, 1981.CrossRefGoogle Scholar
Gilmour, A. S., Jr., Principles of Traveling Wave Tubes. Norwood, MA: Artech House, 1994.Google Scholar
Beck, A. H. W., Thermionic Valves: Their Theory and Design. Cambridge: Cambridge University Press, 1953.Google Scholar
Gittins, J. F., Power Travelling-Wave Tubes. London: English Universities Press, 1965.Google Scholar
Sar-El, H. Z., ‘Revised theory of Pierce-type electron guns’, Nuclear Instruments and Methods, vol. 203, pp. 2133, 1982.CrossRefGoogle Scholar
Brewer, G. R., ‘Formation of high-density electron beams’, Journal of Applied Physics, vol. 28, pp. 715, 1957.CrossRefGoogle Scholar
Frost, R. D. et al., ‘Electron guns for forming solid beams of high perveance and high convergence’, Proceedings of the IRE, vol. 50, pp. 18001807, 1962.CrossRefGoogle Scholar
Danielson, W. E. et al., ‘A detailed analysis of beam formation with electron guns of the Pierce type’, Bell System Technical Journal, vol. 35, pp. 375420, 1956.CrossRefGoogle Scholar
Yang, C. et al., ‘Improved noniterative method for the synthesis of convergent Pierce electron guns’, IEEE Transactions on Electron Devices, vol. 53, pp. 28492852, 2006.CrossRefGoogle Scholar
Birdsall, C. K., ‘Aperture lens formula corrected for space charge in the electron stream’, IRE Transactions on Electron Devices, vol. 4, pp. 132134, 1957.CrossRefGoogle Scholar
Amboss, K., ‘The effect of the anode aperture in conical flow Pierce guns’, Journal of Electronics and Control, vol. 13, pp. 545572, 1962.CrossRefGoogle Scholar
Liu, W. and Liu, S., ‘PIC simulation study of electron gun with rotational surface cathode’, Frontiers of Electrical and Electronic Engineering in China, vol. 6, pp. 556562, 2011.CrossRefGoogle Scholar
True, R., ‘Gridded Pierce gun design and the PPM focussing of beams from gridded electron guns’, in International Electron Devices Meeting, pp. 32–35, 1982.Google Scholar
Cutler, C. C. and Hines, M. E., ‘Thermal velocity effects in electron guns’, Proceedings of the IRE, vol. 43, pp. 307315, 1955.CrossRefGoogle Scholar
True, R., ‘Calculation and design of grids in Pierce guns’, in 1989 International Electron Devices Meeting, IEDM ‘89, pp. 215–218, 1989.Google Scholar
Herrmannsfeldt, W. B., ‘Numerical design of electron guns and space charge limited transport systems’, Nuclear Instruments and Methods in Physics Research, vol. 187, pp. 245253, 1981.CrossRefGoogle Scholar
Petillo, J. et al., ‘The MICHELLE three-dimensional electron gun and collector modeling tool: theory and design’, IEEE Transactions on Plasma Science, vol. 30, pp. 12381264, 2002.CrossRefGoogle Scholar
Kumar, L. and Kasper, E., ‘On the numerical design of electron guns’, Optik, vol. 72, pp. 2330, 1985.Google Scholar
Boers, J. E., ‘Digital computer analysis of axially symmetric electron guns’, IEEE Transactions on Electron Devices, vol. 12, pp. 425435, 1965.CrossRefGoogle Scholar
Hamza, V., ‘Convergence and accuracy criteria of iteration methods for the analysis of axially symmetric and sheet beam electrode shapes with an emitting surface’, IEEE Transactions on Electron Devices, vol. 13, pp. 485493, 1966.CrossRefGoogle Scholar
Lewis, B. M. et al., ‘Design of an electron gun using computer optimization’, IEEE Transactions on Plasma Science, vol. 32, pp. 12421250, 2004.CrossRefGoogle Scholar
True, R., ‘The deformable relaxation mesh technique for solution of electron optics problems’, in International Electron Devices Meeting, pp. 257–260, 1975.Google Scholar
Faillon, G., ‘Technical and industrial overview of RF and microwave tubes for fusion’, Fusion Engineering and Design, vol. 46, pp. 371381, 1999.CrossRefGoogle Scholar
Lee, T. et al., ‘A fifty megawatt klystron for the Stanford Linear Collider’, in International Electron Devices Meeting, pp. 144–147, 1983.Google Scholar
Pinto, M. N. et al., ‘An electron gun design for a C-band TWT’, in SBMO/IEEE MTT-S International Microwave & Optoelectronics Conference, pp. 937–940, 2011.Google Scholar
Smythe, W. R., Static and Dynamic Electricity, 2nd ed. New York: McGraw-Hill, 1950.Google Scholar
Nelson, R. B., ‘Shaping the magnetic field for convergent confined-flow electron guns’, in 6th International Conference on Microwave and Optical Generation and Amplification, Cambridge, England, pp. 60–64, 1966.Google Scholar
Smith, M. J. and Phillips, G., Power Klystrons Today. Taunton, UK: Research Studies Press, 1995.Google Scholar
Legarra, J. R. et al., ‘A convergent confined-flow focusing system for millimeter wave tubes’, in 1983 International Electron Devices Meeting, pp. 137–140, 1983.CrossRefGoogle Scholar
Amboss, K., ‘Studies of a magnetically compressed electron beam’, IEEE Transactions on Electron Devices, vol. 16, pp. 897904, 1969.CrossRefGoogle Scholar
Seeger, J. A., ‘Magnetic compression of axially symmetric Brillouin-focused electron beams’, IEEE Transactions on Electron Devices, vol. 16, pp. 15, 1969.CrossRefGoogle Scholar
Ash, E. A., ‘Compression and reflection of Brillouin beams’, Journal of Electronics and Control, vol. 15, pp. 402417, 1963.CrossRefGoogle Scholar
Müller, M., ‘Magnetische Elektronenoptik in Langstrahl-Verstärker Rohren’, Telefunken Zeiting, vol. 26, pp. 95101, 1953.Google Scholar
Bevc, V. et al., ‘On the design of the transition region of axisymmetric, magnetically focused beam valves’, Journal of the British Institution of Radio Engineers, vol. 18, pp. 696705, 1958.CrossRefGoogle Scholar
Rawls, J. L., ‘An analogue study of periodic permanent magnet focusing’, International Journal of Electronics, vol. 25, pp. 165175, 1968.CrossRefGoogle Scholar
Igritsky, A. L., ‘Focusing a beam of electrons in the region of entry into the magnetic field of a traveling-wave tube’, Radio Engineering and Electron Physics, vol. 8, pp. 117123, 1963.Google Scholar
Rawls, J. L. et al., ‘PPM focusing of convergent beams emerging from partially shielded cathodes’, IEEE Transactions on Electron Devices, vol. 14, pp. 301305, 1967.CrossRefGoogle Scholar
Kramer, N. B. and Todd, E. G., ‘Design of hollow and strip beam guns’, IEEE Transactions on Electron Devices, vol. 10, pp. 394404, 1963.CrossRefGoogle Scholar
Wong, S. K. et al., ‘The design of sheet-beam electron-gun for high-power microwave sources’, in Particle Accelerator Conference, pp. 1043–1045, 1999.Google Scholar
Nguyen, K. T. et al., ‘High-perveance W-band sheet-beam electron gun design’, in ICOPS 2008: IEEE 35th International Conference on Plasma Science, pp. 179–180, 2008.Google Scholar
Pasour, J. et al., ‘Demonstration of a 100-kW solenoidally focused sheet electron beam for millimeter-wave amplifiers’, IEEE Transactions on Electron Devices, vol. 58, pp. 17921797, 2011.CrossRefGoogle Scholar
Vaughan, J. R. M., ‘Synthesis of a hollow-beam gun based on the Pierce design’, in International Electron Devices Meeting, pp. 496–499, 1981.CrossRefGoogle Scholar
Vaughan, J. R. M., ‘Synthesis of a hollow-beam Pierce gun’, IEEE Transactions on Electron Devices, vol. 34, pp. 468472, 1987.CrossRefGoogle Scholar
Vaughan, J. R. M., ‘Corrections to “Synthesis of a hollow-beam Pierce gun”’, IEEE Transactions on Electron Devices, vol. 34, p. 1885, 1987.CrossRefGoogle Scholar
Harris, L. A., ‘Toroidal electron guns for hollow beams’, Journal of Applied Physics, vol. 30, pp. 826836, 1959.CrossRefGoogle Scholar
Hartnagel, H. L., ‘Electrostatically focused electron gun for hollow beams’, Proceedings of the Institution of Electrical Engineers, vol. 111, pp. 5766, 1964.CrossRefGoogle Scholar
Hartnagel, H., ‘Toroidal hollow-beam gun’, Proceedings of the Institution of Electrical Engineers, vol. 111, pp. 18211829, 1964.CrossRefGoogle Scholar
Staprans, A. et al., ‘High-power linear-beam tubes’, Proceedings of the IEEE, vol. 61, pp. 299330, 1973.CrossRefGoogle Scholar
Sivan, L., Microwave Tube Transmitters. London: Chapman and Hall, 1994.Google Scholar
Gallagher, H. E., ‘Gridded electron guns for high average power’, IRE Transactions on Electron Devices, vol. 9, pp. 234241, 1962.CrossRefGoogle Scholar
Miram, G. et al., ‘Gridded gun design considerations for pulse and cw operation’, in Vakuumelektronik und Displays, Garmisch Partenkirchen, Germany, pp. 225–233, 1989.Google Scholar
True, R., ‘A theory for coupling gridded gun design with PPM focusing’, IEEE Transactions on Electron Devices, vol. 31, pp. 353362, 1984.CrossRefGoogle Scholar
True, R., ‘An ultra-laminar tetrode gun for high duty cycle applications’, in International Electron Devices Meeting, pp. 286–289, 1979.Google Scholar
Doehler, O., ‘Static characteristics of injection crossed-field tubes’, in Okress, E., ed., Crossed-Field Microwave Devices, vol. 1. New York: Academic Press, pp. 151163, 1961.CrossRefGoogle Scholar
Kino, G. S., ‘A design method for crossed-field electron guns’, IRE Transactions on Electron Devices, vol. 7, pp. 179185, 1960.CrossRefGoogle Scholar
Midford, T. A. and Kino, G. S., ‘Some experiments with a new type of crossed-field gun’, IRE Transactions on Electron Devices, vol. 8, pp. 324330, 1961.CrossRefGoogle Scholar
Vaughan, J. R. M., ‘Generalization and synthesis of the Kino gun’, IEEE Transactions on Electron Devices, vol. ED-28, pp. 4148, 1981.CrossRefGoogle Scholar
Midford, T. A. and Kino, G. S., ‘Experiments with a new type adiabatic crossed-field gun’, IRE Transactions on Electron Devices, vol. 9, pp. 431439, 1962.CrossRefGoogle Scholar
van Duzer, T. and Whinnery, J. R., ‘Noise in crossed-field electron beams’, in Okress, E., ed., Crossed-Field Microwave Devices, vol. 1. New York: Academic Press, pp. 327–357, 1961.Google Scholar
Gilgenbach, R. M. et al., ‘Crossed-field devices’, in Barker, R. J. et al., eds, Modern Microwave and Millimetre-Wave Power Electronics. Piscataway, NJ: IEEE Press, pp. 289–342, 2005.Google Scholar
Sisodia, M. L. and Wadhwa, R. P., ‘Noise reduction in crossed-field guns by cathode tilt’, Proceedings of the IEEE, vol. 56, pp. 9495, 1968.CrossRefGoogle Scholar
Espinosa, R. J. and Moats, R. R., ‘Broad-band injected-beam crossed-field amplifiers’, IEEE Transactions on Electron Devices, vol. 24, pp. 1321, 1977.CrossRefGoogle Scholar
Edgcombe, C. J., ‘Synthesis of electrodes for axisymmetric systems’, IEE Proceedings – A, vol. 135, pp. 125134, 1988.Google Scholar
Okoshi, T., ‘An improved design theory of a magnetron injection gun’, IEEE Transactions on Electron Devices, vol. ED-11, pp. 349356, 1964.CrossRefGoogle Scholar
Waters, W. E., ‘A theory of magnetron injection guns’, IEEE Transactions on Electron Devices, vol. 10, pp. 226234, 1963.CrossRefGoogle Scholar
Kino, G. S. and Taylor, N. J., ‘The design and performance of a magnetron-injection gun’, IRE Transactions on Electron Devices, vol. 9, pp. 111, 1962.CrossRefGoogle Scholar
Singh, U. et al., ‘Numerical simulation of magnetron injection gun for 1 MW 120 GHz gyrotron’, Progress in Electromagnetics Research Letters, vol. 16, pp. 2134, 2010.CrossRefGoogle Scholar
Baird, J. M. and Lawson, W. E. S., ‘Magnetron injection gun (MIG) design for gyrotron applications’, International Journal of Electronics, vol. 61, pp. 953967, 1986.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Electron Guns
  • Richard G. Carter, Lancaster University
  • Book: Microwave and RF Vacuum Electronic Power Sources
  • Online publication: 27 April 2018
  • Chapter DOI: https://doi.org/10.1017/9780511979231.009
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Electron Guns
  • Richard G. Carter, Lancaster University
  • Book: Microwave and RF Vacuum Electronic Power Sources
  • Online publication: 27 April 2018
  • Chapter DOI: https://doi.org/10.1017/9780511979231.009
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Electron Guns
  • Richard G. Carter, Lancaster University
  • Book: Microwave and RF Vacuum Electronic Power Sources
  • Online publication: 27 April 2018
  • Chapter DOI: https://doi.org/10.1017/9780511979231.009
Available formats
×