Phys. Rev. ST Accel. Beams 7, 092002 (2004) [13 pages]Space-charge limit for a finite-size bunched beam in a circular conducting pipe
Mark Hess * and Chiping Chen Received 19 March 2004; published 9 September 2004 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. ©2004 The American Physical Society
URL: http://link.aps.org/doi/10.1103/PhysRevSTAB.7.092002 * Present address: Physics Department, Indiana University, Bloomington, IN 47405, USA. [ Abstract | Previous article | Next article | Issue 9 ] |
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