Skip to main content
Log in

Abstract

A gyrotron energy transfer equation for the interaction of an annular electron beam in a right-cylindrical cavity has been derived by a rigorous method similar to the one used by Choe and Ahn to find a gyrotron dispersion equation. This new energy transfer equation makes no assumption about the size of the electron orbits. The importance of various terms is discussed and the expression is applied to a number of interesting special cases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.Y. Choe and S. Ahn, IEEE Trans. Electron. DevicesED-28, 94 (1981).

    Google Scholar 

  2. J.Y. Choe and S. Ahn, NRL Memorandum Report 4041, Naval Research Laboratory, Washington D.C. (July 20, 1979).

    Google Scholar 

  3. N.A. Krall and A.W. Trivelpiece,Principles of Plasma Physics, (McGraw-Hill, New York 1973) p. 396.

    Google Scholar 

  4. A. Kupiszewski, N.C. Luhmann, Jr. and H. Jory, 6th Int. Conf. on Infrared and Millimeter Waves, Paper W-2-5 (Dec. 7–12, 1981).

  5. A.V. Gapanov, A.L. Gol'denberg, D.P. Grigor'ev, T.B. Pankratova, M.I. Petelin and V.A. Flyagin, Izv. Vyssh. Uchebn, Zaved., Radiofiz.18, 280 (1975) [Soviet Radiophys.18, 204 (1975)].

    Google Scholar 

  6. K.E. Kreischer and R.J. Temkin, Int. J. Infrared and Millimeter Waves1, 195 (1980).

    Google Scholar 

  7. G.F. Brand, Amer. J. Phys.50, 254 (1982). A v 2zi in the denominator of Eq. (21) should be vzi.

    Google Scholar 

  8. J.L. Hirshfield, I.B. Bernstein and J.M. Wachtel, IEEE J. Quantum ElectronicsQE-1, 237 (1965).

    Google Scholar 

  9. J.L. Hirshfield and V.L. Granatstein, IEEE Trans. Microwave Theory TechniquesMTT-25, 522 (1977).

    Google Scholar 

  10. J.L. Hirshfield,Infrared and Millimeter Waves, Vol. 1, (Ed. K.J. Button, Academic Press, New York 1979) p. 1.

    Google Scholar 

  11. K.R. Chu, A.T. Drobot, H.H. Szu and P. Sprangle, IEEE Trans. Microwave Theory Tech.,MTT-25, 313 (1980).

    Google Scholar 

  12. K.R. Chu, Phys. Fluids21, 2354 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brand, G.F. The gyrotron energy transfer equation. Int J Infrared Milli Waves 4, 247–255 (1983). https://doi.org/10.1007/BF01008605

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01008605

Key words

Navigation