Lowest-order phase space structure of a simplified beam halo Hamiltonian

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.51074· OSTI ID:383693

Bruhwiler, D L ^[1]

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1. Advanced Technology and Development Center, Northrop Grumman Corporation, Princeton, New Jersey 08540-6620 (United States)

Hamiltonian perturbation theory is applied to the particle-core model for zero-angular-momentum test-particles in the limit of small mismatch and moderate space charge. A first-order treatment captures the lowest-order averaged dynamics arising from the dominant 2:1 parametric resonance, neglecting any chaotic effects that might arise from the overlap of higher-order resonances. The analysis shows that test-particles from a matched Kapchinskij-Vladimirskij (KV) distribution are driven into the halo by the oscillations of the mismatched core KV distribution, if the mismatch factor exceeds a critical value which depends on the space charge parameter {mu}. This dynamical effect persists, although the time scale grows without bound, even in the limit {mu}{r_arrow}0. A symplectic test-particle code and self-consistent particle simulations both show good agreement with the analysis. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 383693
• Report Number(s): CONF-9510361--
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 377; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
FOCUSING
HAMILTONIAN FUNCTION
PARTICLE BEAMS
PERTURBATION THEORY
RESONANCE
SPACE CHARGE