2 - CERN Accelerator School

More documents

Recommendations

Info

Dispersion mismatch: analysis is similar to that for steering errors. In this case Δr 2 ⎡ = ⎢ΔD ⎣ 2 + 1 2 ( β ΔD′ + α ΔD) The final result is ε after fil. rms = ε rms Injection process - V 2 ⎤ ⎛ σ ⎥ ⎜ ⎦ ⎜ ⎝ p p Massimo Giovannozzi CAS - 2-14 14 October 2005 18 ⎞ ⎟ ⎠ 2 ⎧ 2 ⎪ 1 [ ( ) ] 2 2 ⎛ σ p ⎞ ⎨1 + ΔD + β ΔD′ + α ΔD ⎜ ⎟ ⎜ ⎟ / σ 0 ⎪⎩ 2 ⎝ p ⎠ 2 ⎫ ⎪ ⎬ ⎪⎭
Optics errors: Optical parameters (Twiss ( Twiss and dispersion) of the transfer line at the injection point are different from those of the ring Consequences: The beam performs quadrupolar oscillations (size changes on a turn-by turn by-turn turn basis). The emittance grows due to the filamentation Solution: Tune transfer line to match optics of the ring Injection process - VI Massimo Giovannozzi CAS - 2-14 14 October 2005 19 x’ Ring ellipse Transfer line ellipse x
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: Example of beam distribution genera
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

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?