2 - CERN Accelerator School

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Introduction - III Why emittance growth is an issue? Machine performance is reduced, e.g. in the case of a collider the luminosity (i.e. the rate of collisions per unit time) is reduced. It can lead to beam losses. Massimo Giovannozzi CAS - 2-14 14 October 2005 4
Introduction - IV Filamentation is one of the key concepts for computing emittance growth Due to the presence of nonlinear imperfections, the rotation frequency in phase space is amplitude- dependent. After a certain time the initial beam distribution is smeared out to fill a phase space ellipse. Massimo Giovannozzi CAS - 2-14 14 October 2005 5
Page 1 and 2: Introduction Emittance mittance gr
Page 3: Introduction - II In the case of a
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 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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