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Open Access Publications from the University of California

Asymptotic theory of beam break-up in linear accelerators

  • Author(s): Panofsky, WKH
  • Bander, M
  • et al.

Published Web Location Commons 'BY' version 4.0 license

The phenomenon of radial beam break-up observed in terms of long, multi-section electron linear accelerators has been analyzed using a multi-cavity model. In this model the source of regeneration due to backward wave amplification is ignored. The dominant phenomenon involves build-up of radial modes in each cavity as coupled by the electron beam. The resulting differential equations are integrated by the method of steepest descent and by a numerical iteration method. Scaling laws in terms of the pulse length, beam intensity, energy gradient, and length of the structure are derived. © 1968 The American Institute of Physics.

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