2 - CERN Accelerator School

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Analysis in normalised phase space (i ( stands for injection m for machine): x p m m = = r r i i cosψ sinψ Squaring and averaging gives < < r r 2 m 2 m > > = = < < After filamentation 2 x r 2 i i 2 m 2 i + Δr cosψ Injection process - III + Δr cosψ + p 2 m > + Δr < x > = 1 < rm > = 1 < ri > + 1 Δr 2 2 2 > 2 2 Massimo Giovannozzi CAS - 2-14 14 October 2005 16 σ 2 = σ 2 i + 1 2 Δr 2
Example of beam distribution generated by steering errors and filamentation. filamentation The beam core is displaced -> > large effect on emittance growth Injection process - IV Massimo Giovannozzi CAS - 2-14 14 October 2005 17
Page 1 and 2: Introduction Emittance mittance gr
Page 3 and 4: Introduction - II In the case of a
Page 5 and 6: Introduction - IV Filamentation is
Page 7 and 8: x p i xi Multiple Coulomb scatterin
Page 9 and 10: Scattering through thin foil - IV F
Page 11 and 12: The solution of the system is Scatt
Page 13 and 14: Exercises… Exercises Compute the
Page 15: Steering errors: Injection process
Page 19 and 20: Optics errors: Optical parameters (
Page 21 and 22: ε after fil. rms = ε rms ⎛ ⎜
Page 23 and 24: Intra-beam Intra beam scattering Mu
Page 25 and 26: Scattering processes - IV Features
Page 27 and 28: Diffusive phenomena: Others Resonan
Page 29 and 30: PS ejection: 72 bunches in 1 turn A
Page 31 and 32: Transverse manipulation: novel mult
Page 33 and 34: Tune variation Phase space portrait
Page 35: Some references D. Edwards, M. Syph

2 - CERN Accelerator School

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