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  • Open Access

Space-charge limit for a finite-size bunched beam in a circular conducting pipe

Mark Hess* and Chiping Chen

  • Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *Present address: Physics Department, Indiana University, Bloomington, IN 47405, USA.
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Phys. Rev. ST Accel. Beams 7, 092002 – Published 9 September, 2004

DOI: https://doi.org/10.1103/PhysRevSTAB.7.092002

Abstract

We derive the space-charge limit for a train of periodic finite-size charged bunches which are slightly displaced from the axis of a circular, perfectly conducting pipe. The general calculation assumes that the bunches, while periodic, may have arbitrary radial and longitudinal density distributions with respect to the beam axis. We present results for a few specific distributions, as well as the limits of unbunched and single-bunch beams. Finally, we show how the bunched beam space-charge limit along with the radial rms envelope equation for a bunched beam is applied to predict operational limits of periodic permanent magnet focusing klystrons, such as the SLAC 11.4 GHz 75 MW XP-3 device.

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Phys. Rev. ST Accel. Beams 7, 092002– Published 9 September, 2004
  • Received 19 March 2004
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