Simulation study of halo formation in breathing round beams

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 4, 1997, Pages 4694-4705

  Okamoto, Hiromi ^a   Ikegami, Masanori ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004094382     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.4694     Document Type: Article

References (21)

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17. In the present paper, we only consider mismatch factors greater than one.
18. Note that the phase-space distribution of a KV beam is quite different from that of a more realistic beam even if both have similar density profiles in real space.
19. The maximum allowable value of μ is limited in this model because of the assumption made. For example, in order for Eqs. (2.9) and (2.11) to have a physical solution, μ must be less than about 1.15 when η=0.5.
20. The stationary distribution of a dense beam is roughly uniform in real space. Whenever the beam is deviated from the stationary state, it tries to approach closer to there, homogenizing its real-space density. The density redistribution process should thus have essentially nothing to do with resonances nor chaos. See, e.g., Ref. 11 or the excellent work by T. P. Wangler, IEEE Trans. Nucl. Sci. NS-32, 2196 (1985) which has been generalized by I. Hofmann and J. Struckmeier, Part. Accel.21, 69 (1978).
21. Waterbag core has a uniform particle distribution in phase space.