1. 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

2. Contents Multipole limit survey of large-beta dipoles
Multipole limit survey of 6 FFQ
Summary & Questions

3. One Lattice for JLEIC Ion Collider RingQ S
ALL
133
205 75 IR 2 6
β> 200 m 21 19 8

4. Beam Size
σx:10-6
σy:10-6

5. Multipoles of Super-Ferric dipole
Peter McIntyre
MEIC Fall 2015

6. 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

7. Multipole limit survey of large-beta dipoles
Multipoles
Normal: Systematic + Random
Skew: Systematic + Random

8. Multipole limit survey of large-beta dipoles3 4 5
20 σ of H & V: 2*(2.32, 0.46) 60 GeV 6 7 8

9. Multipole limit survey of large-beta dipoles
< 20 σ of H & V: 2*(2.32, 0.46) 60 GeV

10. Multipole limit survey of large-beta dipoles3 4 5
~35 σ of H & V: 3.5*(2.32, 0.46) 60 GeV 6 7 8

11. Multipole limit survey of large-beta dipoles
For all dipole
20 σ of H & V: 2*(2.32, 0.46) 60 GeV

12. 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

13. Multipole of PEP-II FFQ (From Yuri)
Multipole errors of super-ferric dipole at radius 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 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

14. Normal Multipole of PEP-II FFQ (From Yuri)2 3 4 5 6 7

15. Normal Multipole of PEP-II FFQ (From Yuri)8 9 10 11 12 13

16. Skew Multipole of PEP-II FFQ (From Yuri)2 3 4 5 6 7

17. Skew Multipole of PEP-II FFQ (From Yuri)8 9 10 11 12 13

18. Multipole of PEP-II FFQ (From Yuri)
Normal
Skew
Normal + Skew

19. Multipole limit survey of FFQ2 3 4
~35 σ of H & V: 3.5*(2.32, 0.46) 60 GeV 5 6 7

20. Multipole limit survey of FFQ8 9 10
~35 σ of H & V: 3.5*(2.32, 0.46) 60 GeV 11 12 13

21. Multipole limit survey of large-beta dipoles
20 σ of H & V: 2*(2.32, 0.46) 60 GeV

22. Multipole limit survey of FFQ
Multipole errors of super-ferric dipole at radius 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 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

23. 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. 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.

24. 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

25. 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

26. Thank you
F. Lin

27. LHC

28. LHC