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

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...

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Bibliographic Details
Published in:Physical review special topics. PRST-AB. Accelerators and beams 2004-09, Vol.7 (9), p.092002, Article 092002
Main Authors: Hess, Mark, Chen, Chiping
Format: Article
Language:English
Subjects:
Klystrons
Permanent magnets
Pipes
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Summary: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.
ISSN:1098-4402
1098-4402
2469-9888
DOI:10.1103/PhysRevSTAB.7.092002