Induction Linacs

  • Denis Keefe
Part of the NATO ASI Series book series (NSSB, volume 178)


Induction acceleration — in a circle as in a betatron, or in a straight line as in the induction linac — has a venerable history. The idea of using the electric field produced by a time-varying magnetic field to accelerate particles (exclusively electrons, until recently) were first actively explored in the 1920’s. The relationship between the electric and magnetic fields is
$$ \oint {E \cdot d\ell = - \frac{1}{c}\oint {\frac{{d{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{B}}}}{{dt}} \cdot dS} } $$
where the line integral is taken around the circular orbit in the betatron or along the core axis in an induction linac. The surface integral is over the orbital area in the first case, and over the core cross-section in the second. Betatron acceleration of electrons was first suggested by Slepian in 1922, and the famous “two-to-one” betatron condition for an orbit of constant radius was discovered independently by Wideroe in 1928 and Walton in 1929. Nonetheless, development of a working betatron — despite many experimental efforts in the meantime — had to wait over a decade more, until the classic analysis and experiments by Kerst and Serber (1941).


Transmission Line Drift Tube Coaxial Line Annular Electron Beam Magnetron Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Bouwers, A., 1939, Electrische Hochstpannung, Berlin, Chapter 1, p. 80.Google Scholar
  2. Christofilos, N. C., Hester, R. E., Lamb, W. A. S., Reagan, D. D., Sherwood, W. A. and Wright, R. E., 1964, Rev. Sci. Inst., 35:866.Google Scholar
  3. Faltens, A., Keefe, D., 1977, Proc. Xth Int. Conf. on High Energy Accel., (Protvino), Vol. I, p. 358.Google Scholar
  4. Faitens, A. and Keefe, D., 1981, Proc. 1981 Linac Conf., (Los Alamos), LANL Report LA-9234-C, p. 205.Google Scholar
  5. Humphries, S. J. et al., 1979, IEEE Trans. Nuc. Sci., NS-26:4220.ADSCrossRefGoogle Scholar
  6. Humphries, S. J., Jr., 1986, “Principles of Charged Particle Acceleration”, Wiley-Interscience, New York.Google Scholar
  7. Keefe, D., 1976, Proc. ERDA Summer Study of Heavy Ions for Inertial Fusion, LBL-5543, p. 21.Google Scholar
  8. Keefe, D., 1981, Particle Accelerators, 11:187.Google Scholar
  9. Keefe, D. and Hoyer, E., 1981, Proc. Workshop on High Intensity Accelerators and Compressor Rings, (ed. M. Kuntze), Karsruhe, June 1981, Kernfors chungszentrum Karlsruhe Report KFK 3228, p. 64.Google Scholar
  10. Kerst, D. W. and Serber, R., 1941, Phys. Rev., 60:53.ADSCrossRefGoogle Scholar
  11. Leiss, J. E., Norris, N. J., and Wilson, M. A., Particle Accelerators, 10:223.Google Scholar
  12. Lockner, T. R. and Friedman, M., 1979, IEEE Trans. Nuc. Sci., NS-26:3036.CrossRefGoogle Scholar
  13. Miller, R. B., Prestwich, K. R., Poukey, J. W., Epstein, B. G., Freeman, J. R., Sharpe, A. W., Tucker, W. R. and Slope, S. L., 1981, Journ. Appl. Phys. Google Scholar
  14. Pavlovski, A. I., 1975, Sov. Phys. Dokl., 20:441.Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • Denis Keefe
    • 1
  1. 1.Lawrence Berkeley LaboratoryUniversity of CaliforniaBerkeleyUSA

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