A Longitudinal Stability Criterion for Bunched Beams

1 June 1973

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Nuclear Science

Vol. 20 (3) , 825-829
https://doi.org/10.1109/tns.1973.4327254

Abstract

The unstable motion of a bunched beam consists of rigid-bunch (dipole) and higher bunch-shape oscillations of the individual bunches (individual-bunch modes), plus perhaps coupled motion of the different bunches (coupled-bunch modes). Stability is achieved either by decoupling the bunches or by a spread in synchrotron frequencies within a bunch. A stability criterion analogous to the Keil-Schnell criterion for coasting beams is given which includes the effect of a beam interacting with perfectly conducting walls, resistive walls, and resonant structures. Some examples for the CERN accelerators are included.

Keywords

This publication has 2 references indexed in Scilit:

Transverse Coherent Resistive Instabilities of Azimuthally Bunched Beams in Particle Accelerators
Review of Scientific Instruments, 1966
STABILITY OF BEAM IN RADIOFREQUENCY SYSTEM
Published by Office of Scientific and Technical Information (OSTI) ,1964