Investigation of Stochastic Beam Growth with a Non-Linear Lens

The problem of the onset of stochastic motion in a non-linear system is of considerable importance for the understanding of the long-time stability of beams in hadron storage rings in the presence of strong high-order non-linear resonances. A non-linear lens has been installed in the SPS in order to...

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Bibliographic Details
Published in:IEEE transactions on nuclear science 1983-01, Vol.30 (4), p.2454-2456
Main Authors: Cornacchia, M., Evans, L. R., Kalbreier, W., Kuhn, H. K., Peggs, S.
Format: Article
Language:English
Subjects:
Computer simulation
Lenses
Magnetic resonance
Optical modulation
Particle beams
Stability
Stochastic processes
Stochastic resonance
Storage rings
Superconducting magnets
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Summary:The problem of the onset of stochastic motion in a non-linear system is of considerable importance for the understanding of the long-time stability of beams in hadron storage rings in the presence of strong high-order non-linear resonances. A non-linear lens has been installed in the SPS in order to simulate resonances driven by the beam-beam effect or by magnetic field imperfections in superconducting storage rings. In this paper, a criterion for the onset of stochastic motion is derived and compared with the results of computer simulations and of experiments performed on the machine.
ISSN:0018-9499
1558-1578
DOI:10.1109/TNS.1983.4332845