Multipole Limit Survey of FFQ and Large-beta Dipole G.H. Wei, V.S. Morozov, Fanglei Lin JLEIC R&D Meeting, JLab, Dec 15, 2015 F. Lin
Contents Multipole limit survey of large-beta dipoles Multipole limit survey of 6 FFQ Summary & Questions
One Lattice for JLEIC Ion Collider Ring Q S ALL 133 205 75 IR 2 6 β> 200 m 21 19 8
Beam Size σx:10-6 σy:10-6
Multipoles of Super-Ferric dipole Peter McIntyre MEIC Fall 2015
Multipoles of Super-Ferric dipole 100 GeV ΔBn is the field due to order of n B0 is the main dipole field Multipole errors of super-ferric dipole at radius 20 mm (unit: 10^-4) multipole type ∆ 𝐵 1 𝐵 0 ∆ 𝐵 2 𝐵 0 ∆ 𝐵 3 𝐵 0 ∆ 𝐵 4 𝐵 0 ∆ 𝐵 5 𝐵 0 ∆ 𝐵 6 𝐵 0 ∆ 𝐵 7 𝐵 0 ∆ 𝐵 8 𝐵 0 ∆ 𝐵 9 𝐵 0 ∆ 𝐵 10 𝐵 0 systematic -0.151 -0.537 0.126 0.850 0.714 0.366 -0.464 -0.410 0.009 0.027 Random
Multipole limit survey of large-beta dipoles Multipoles Normal: Systematic + Random Skew: Systematic + Random
Multipole limit survey of large-beta dipoles 3 4 5 20 σ of H & V: 2*(2.32, 0.46) e-4 @ 60 GeV 6 7 8
Multipole limit survey of large-beta dipoles ++++++++ -------- < 20 σ of H & V: 2*(2.32, 0.46) e-4 @ 60 GeV
Multipole limit survey of large-beta dipoles 3 4 5 ~35 σ of H & V: 3.5*(2.32, 0.46) e-4 @ 60 GeV 6 7 8
Multipole limit survey of large-beta dipoles ++++++++ -------- For all dipole 20 σ of H & V: 2*(2.32, 0.46) e-4 @ 60 GeV -+-+-+-+ +-+-+-+-
Multipole limit survey of large-beta dipoles Multipole errors of super-ferric dipole at radius 20 mm (unit: 10^-4) multipole type ∆ 𝐵 1 𝐵 0 ∆ 𝐵 2 𝐵 0 ∆ 𝐵 3 𝐵 0 ∆ 𝐵 4 𝐵 0 ∆ 𝐵 5 𝐵 0 ∆ 𝐵 6 𝐵 0 ∆ 𝐵 7 𝐵 0 ∆ 𝐵 8 𝐵 0 ∆ 𝐵 9 𝐵 0 ∆ 𝐵 10 𝐵 0 systematic -0.151 -0.537 0.126 0.850 0.714 0.366 -0.464 -0.410 0.009 0.027 35sigma-plus 1.671E-01 3.193E-02 1.116E-02 1.750E-03 8.294E-04 1.054E-04 35sigma-minus 2.156E-01 2.810E-02 1.891E-02 1.494E-03 9.177E-05
Multipole of PEP-II FFQ (From Yuri) Multipole errors of super-ferric dipole at radius 43.41 mm (unit: 1) multipole type ∆ 𝐵 1 𝐵 1 ∆ 𝐵 2 𝐵 1 ∆ 𝐵 3 𝐵 1 ∆ 𝐵 4 𝐵 1 ∆ 𝐵 5 𝐵 1 ∆ 𝐵 6 𝐵 1 ∆ 𝐵 7 𝐵 1 ∆ 𝐵 8 𝐵 1 ∆ 𝐵 9 𝐵 1 ∆ 𝐵 10 𝐵 1 PEP-II FFQ QD4R_Normal -5.14 E-06 -1.51 E-05 3.44 -2.72 -1.96 1.31 -1.24 6.79 -1.26 QD4R_Skew 5.28 4.02 6.21 4.32 2.53 -2.59 4.60 -1.87 4.84 E-07 Multipole errors of super-ferric dipole at radius 43.41 mm (unit: 10^-4) multipole type ∆ 𝐵 11 𝐵 1 ∆ 𝐵 12 𝐵 1 ∆ 𝐵 13 𝐵 1 PEP-II FFQ QD4R_Normal -4.69 E-07 -1.22 E-06 -1.42 QD4R_Skew -8.99 -8.22 -1.01
Normal Multipole of PEP-II FFQ (From Yuri) 2 3 4 5 6 7
Normal Multipole of PEP-II FFQ (From Yuri) 8 9 10 11 12 13
Skew Multipole of PEP-II FFQ (From Yuri) 2 3 4 5 6 7
Skew Multipole of PEP-II FFQ (From Yuri) 8 9 10 11 12 13
Multipole of PEP-II FFQ (From Yuri) Normal Skew Normal + Skew
Multipole limit survey of FFQ 2 3 4 ~35 σ of H & V: 3.5*(2.32, 0.46) e-4 @ 60 GeV 5 6 7
Multipole limit survey of FFQ 8 9 10 ~35 σ of H & V: 3.5*(2.32, 0.46) e-4 @ 60 GeV 11 12 13
Multipole limit survey of large-beta dipoles ++++++++ -------- 20 σ of H & V: 2*(2.32, 0.46) e-4 @ 60 GeV -+-+-+-+ +-+-+-+-
Multipole limit survey of FFQ Multipole errors of super-ferric dipole at radius 43.41 mm (unit: 1) multipole type ∆ 𝐵 1 𝐵 1 ∆ 𝐵 2 𝐵 1 ∆ 𝐵 3 𝐵 1 ∆ 𝐵 4 𝐵 1 ∆ 𝐵 5 𝐵 1 ∆ 𝐵 6 𝐵 1 ∆ 𝐵 7 𝐵 1 ∆ 𝐵 8 𝐵 1 ∆ 𝐵 9 𝐵 1 ∆ 𝐵 10 𝐵 1 PEP-II FFQ -5.14 E-06 -1.51 E-05 3.44 -2.72 -1.96 1.31 -1.24 6.79 -1.26 35sigma-plus 6.70 E-04 6.56 1.98 7.12 1.45 8.33 E-07 1.28 8.69 E-08 1.22 35sigma-minus -3.80 -8.60 -1.75 -1.03 -1.28 -8.43 -1.11 -8.06 -1.09 Multipole errors of super-ferric dipole at radius 43.41 mm (unit: 10^-4) multipole type ∆ 𝐵 11 𝐵 1 ∆ 𝐵 12 𝐵 1 ∆ 𝐵 13 𝐵 1 PEP-II FFQ -4.69 E-07 -1.22 E-06 -1.42 35sigma-plus 9.97 E-09 1.26 8.65 E-10 35sigma-minus -8.40 -1.13 -3.94
Summary Multipole Limit Survey is studied for systematic multipole of FFQ and large beta dipole. Some of them seems too small, even 2~3 order smaller than Super-Ferric Data and PEP-II FFQ Data. Limit @ 15 σ is planed to be study. Multipole Limit Survey is based on emittance requirement, survey method, Lattice, and tune etc, which are also need to be modified.
Problems Single multipole has positive and negative value. Even thinking about systematic type, normal and skew, 2nd - 13th orders, there are 2^24 possibilities. It seems there is no skew multipole in CODE ELEGANT
Problems Thinking about Figure-8 lattice, and focus Quads for X and Y, a single multiple should be different ? If 1=quadrupole, 2=sextupole, 2n+1: no change with opposite dipole 2n: times (-1) with opposite dipole
Thank you F. Lin
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