Space charge resonances in two and three dimensional anisotropic beams

Journal Article · Wed Oct 09 04:00:00 EDT 2002 · Physical Review Special Topics - Accelerators and Beams

OSTI ID:821930

Hofmann, I ^[1]; Franchetti, G; Boine-Frankenheim, O; Qiang, J; Ryne, R D

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1. LBNL Library

The theory and simulation of coherent resonant coupling due to space charge in coasting or bunched anisotropic equilibrium beams is presented. Our work confirms that analytical results on coherent oscillations and instabilities of anisotropic KV (Kapchinskij-Vladimirskij) distributions are a valid tool to interpret the findings from 2D and 3D self-consistent particle-in-cell simulations for both KV and waterbag distributions. With reference to rings we discuss space charge coherent tune shifts up to fourth order and introduce a coherent coupled mode coefficient, which enables us to resolve the issue of KV anomalies by relating them to negative energy modes. The second emphasis of this study is with reference to linacs and a detailed discussion of ''stability charts'' describing resonant regions where approach to equipartition may occur.

• Research Organization: Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US)
• Sponsoring Organization: USDOE Director. Office of Science. High Energy Physics (US)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 821930
• Report Number(s): LBNL--54605
• Journal Information: Physical Review Special Topics - Accelerators and Beams, Journal Name: Physical Review Special Topics - Accelerators and Beams Journal Issue: 024202 Vol. 6; ISSN 1098-4402
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
99 GENERAL AND MISCELLANEOUS
COHERENT RESONANT COUPLING SPACE-CHARGE BUNCHED ANISOTROPIC EQUILIBRIUM
LINEAR ACCELERATORS
OSCILLATIONS
SIMULATION
SPACE CHARGE
STABILITY