Relaxation oscillations of the synchrotron motion caused by narrow-band impedances

Journal Article · Fri Oct 01 04:00:00 EDT 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.60.4823· OSTI ID:686881

Limborg, C; Sebek, J ^[1]

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1. Stanford Synchrotron Radiation Laboratory/Stanford Linear Accelerator Center, MS 99, P.O. Box 4349, Stanford, California 94309 (United States)

Although the linearized theory of small amplitude synchrotron oscillations and the instability thresholds derived from it have long been understood, there is no satisfactory description of the large amplitude highly nonlinear synchrotron motion of a bunched beam. With an appropriate tuning of the RF cavity impedance, large amplitude, low frequency, self-sustained relaxation oscillations of this synchrotron motion are generated. This paper presents detailed experimental data on such behavior, tracking code results that reproduce the important characteristics, and a simple analytical model that explains the key features of the relaxation oscillation: growth of the instability, saturation of the oscillation, breakup of the bunch, and subsequent damping of the system back to the beginning of the next cycle of the relaxation oscillation. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 686881
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 60; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
66 PHYSICS
BEAM BUNCHING
BEAM DYNAMICS
OSCILLATIONS
RELAXATION
STORAGE RINGS
SYNCHROTRON RADIATION