2 - CERN Accelerator School

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1 X’ (a) -1 -1 X 1 Four islands require tune = 0.25 Transverse manipulation: novel multi-turn multi turn extraction – II Left: initial phase space topology. No islands. Right: intermediate phase space topology. Islands are created near the centre. 1 X’ -1 -1 X 1 -1 -1 X 1 Massimo Giovannozzi CAS - 2-14 14 October 2005 32 (c) 1 X’ (b) Bottom: final phase space topology. Islands are separated to allow extraction.
Tune variation Phase space portrait Transverse manipulation: novel multi-turn multi turn extraction – III Simulation parameters: Hénon non-like like map (i.e. 2D polynomial – degree 3 - mapping) representing a FODO cell with sextupole and octupole Massimo Giovannozzi CAS - 2-14 14 October 2005 33
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 and 16: Steering errors: Injection process
Page 17 and 18: Example of beam distribution genera
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: Transverse manipulation: novel mult
Page 35: Some references D. Edwards, M. Syph

2 - CERN Accelerator School

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