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ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1,...
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Transcript of ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1,...
![Page 1: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/1.jpg)
ILC Damping Ring Alternative Lattice Design
( Modified FODO) **
Yi-Peng Sun*,1,2, Jie Gao1 , Zhi-Yu Guo2
Wei-Shi Wan3
1 Institute of High Energy Physics, CAS, Beijing
2 State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing
3 LBNL, USA
CCAST ILC Accelerator Workshop, IHEP, Beijing
6 November, 2007
![Page 2: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/2.jpg)
2ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Layout of ILC
![Page 3: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/3.jpg)
3ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Main timeline
OCS2 FODO2 OCS6 FODO3 FODO-4
Completed time 2005 2006.5 2006.7 2006.11
2007.8
Quad’s number >682 496 682 468 <448
Number of wiggler S 8 4(2) 4 2 2
Alpha (10-4) 4(2) 4(2) 4(2) 2 ~ 4 2 ~ 6
![Page 4: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/4.jpg)
4ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Ilc dr alternative lattice design goals
1. Smaller number quadrupoles and sextupoles used (roughly two thirds), and lower cost.
2. Freely tunable momentum compaction factor in the range between 2×10-4 and 6×10-4.
3. Good dynamic aperture.
4. Simpler layout, with only two wiggler sections and cryogenics shaft.
![Page 5: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/5.jpg)
5ILC DR Alternative Lattice DesignYi-Peng Sun et al.
layout
4 arc sections.
4 straight sections, one for injection, one for extraction, and the other two for RF/wiggler.
Two shafts in all and no TL.
Beam is counter-rotating.
![Page 6: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/6.jpg)
6ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Considerations for the arc cell
Scan some arc cell parameters.
Arc cell number: from 120 to 240.
Arc cell length: from 20 m to 40 m.
The short drift length: from 1 m to 3 m.
To get proper dispersion and beta functions at the sextupole location in a cell, suitable maximum beta function (less than 55 m, constrained by vacuum chamber), and freely tunable alpha with different arc cell phase advance.
At last, we select the arc cell length to be 29.4 m, and the arc cell number to be 184.
![Page 7: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/7.jpg)
7ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Comparison with ocs8
OCS8 (2007.06) FODO-4
Circumference [ m ] 6695 6476.439
Arc cell TME FODO
Phase advance of arc cell 90/90 60/60~90/90
Momentum compaction [ 10-4 ] 4 2~6
Quadrupoles in all 682 448
Dipoles in all 114 × 6 m ﹢12 × 3 m 368 × 2 m
Sextupoles in all 480 368
Number of wiggler straights 4 2
![Page 8: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/8.jpg)
8ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Arc cell design
sin
)2
sin1(
PL
2sin4
)2
sin2
11(
2
PLD
Left: 60/60 cell, corresponding to 6×10-4 alpha
Left: 90/90 cell, corresponding to 2×10-4 alpha
![Page 9: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/9.jpg)
9ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Dispersion suppressor design
2sin4
11
21
2sin4 2
2
Add one arc cell after the last standard arc cell and modify the bending angle of these two cells according to the phase advance. The aim is to have undisturbed TWISS parameters in the dispersion suppressor.
![Page 10: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/10.jpg)
10ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Injection/extraction design
2 septums and 21 stripline kickers (lumped kickers)
Uses two periodic cells, with the total horizontal phase advance matched to be 180 degree
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11ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Chicane
Adjustment of one Chicane: Bc ll 5.02 2
10-6 adjustable
4 Chicane
Emittance +9.2 %
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12ILC DR Alternative Lattice DesignYi-Peng Sun et al.
6×10-4 momentum compaction
Dispersion suppressor Total ring
60/60 cell, 6×10-4 momentum compaction
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13ILC DR Alternative Lattice DesignYi-Peng Sun et al.
4×10-4 momentum compaction
Dispersion suppressor Total ring
72/72 cell, 4×10-4 momentum compaction
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14ILC DR Alternative Lattice DesignYi-Peng Sun et al.
2×10-4 momentum compaction
Dispersion suppressor Total ring
90/90 cell, 2×10-4 momentum compaction
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15ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Total parameters of three critical modes
Parameter αP=2×10-4 αP=4×10-4 αP=6×10-4
Circumference [ m ] 6476.439 6476.439 6476.439
Harmonic number 14042 14042 14042
Energy [ GeV ] 5 5 5
Arc cell FODO FODO FODO
Tune 58.29 / 57.25 48.29 / 47.24 41.29 / 40.25
Natural chromaticity -74 / -73 -56 / -56 -46 / -46
Momentum compaction [ 10-4 ] 2 4 6
Transverse damping time [ ms ] 25 / 25 25 / 25 25 / 25
Norm. Natural emittance [ mm-mrad ] 3.36 4.2 5.4
RF voltage [ MV ] 15 22 31
Synchrotron tune 0.038 0.061 0.091
Synchrotron phase [o] 145 157 164
RF frequency [ MHz ] 650 650 650
RF acceptance [ % ] 1.21 1.48 1.65
Natural bunch length [ mm ] 9 9 9
Natural energy spread [ 10-3 ] 1.28 1.28 1.28
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16ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Chromaticity correction
The chromaticity corrected to (0.3,0.31). The tune variation with momentum spread ±1% is ~1×10-4
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17ILC DR Alternative Lattice DesignYi-Peng Sun et al.
High order magnets errors
Dipole (1×10-4) Quadrupole (1×10-4) Sextupole (1×10-4)
Radius 30mm 30mm 30mm
Error type Sys Ran Φ (°) Sys Ran Φ (°) Sys Ran Φ (°)
1 0 0 0 0 0 0 0 0 0
2 0 3 0 0 3 0 0 0 0
3 3 1 0 1 1 -80 0 20 0
4 0 1 0 1 1 150 1 3 -85
5 3 1 0 1 1 80 1 1 -130
6 0 1 0 1 1 0 1 1 -15
7 3 1 0 1 1 180 1 1 66
8 0 0 0 1 1 5 1 1 203
9 0 0 0 1 1 75 1 1 1
10 0 0 0 1 1 180 1 1 -116
11 0 0 0 1 1 10 1 1 46
12 0 0 0 1 1 180 1 1 84
13 0 0 0 1 1 110 1 1 -291
14 0 0 0 1 1 25 1 1 -10
15 0 0 0 1 1 0 1 1 -182
16 0 0 0 1 1 0 1 1 0
* Sys: system error; Ran: random error
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18ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Dynamic aperture 6×10-4 alpha case
Left: no errors; Right: with high order magnets errors
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19ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Dynamic aperture 4×10-4 alpha case
Left: no errors; Right: with high order magnets errors
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20ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Dynamic aperture 2×10-4 alpha case
Left: no errors; Right: with high order magnets errors
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21ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Comparison with ocs8 (PAC07)
4×10-4 momentum compaction mode, on momentum particles, with errors; Left: OCS8 (PAC07), Right: FODO-4
![Page 22: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/22.jpg)
22ILC DR Alternative Lattice DesignYi-Peng Sun et al.
FMA optimization results
FMA is used to optimize the lattice and the DA. The optimized result for 2×10-4 momentum compaction mode
![Page 23: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/23.jpg)
23ILC DR Alternative Lattice DesignYi-Peng Sun et al.
With harmonic sextupoles
2×10-4 momentum compaction mode, with 3 group harmonic sextupoles
Left: no errors; Right: with high order magnets errors
![Page 24: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/24.jpg)
24ILC DR Alternative Lattice DesignYi-Peng Sun et al.
SCAN FOR THE HARMONIC SEXTUPOLES AND TUNES
The full scan is still on-going now.
![Page 25: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/25.jpg)
25ILC DR Alternative Lattice DesignYi-Peng Sun et al.
others
Touschek lifetime: )(8
13max
20
2
DcNr
zyx
e
4×10-4 momentum compaction mode . Energy acceptance 1.48%, bunch population 2×1010, Touschek lifetime is 160 minutes
Element Length [m] Field or Gradient Aperture[m] Pole-tip field[T]
Dipole 2 0.2246 T 0.06 0.2246
Quadrupole 0.3 10 T/m 0.06 0.3
Sextupole 0.25 17.67 T/m2 0.06 0.00796
![Page 26: ILC Damping Ring Alternative Lattice Design ( Modified FODO ) ** Yi-Peng Sun *,1,2, Jie Gao 1, Zhi-Yu Guo 2 Wei-Shi Wan 3 1 Institute of High Energy Physics,](https://reader035.fdocuments.in/reader035/viewer/2022062500/5697c00a1a28abf838cc7853/html5/thumbnails/26.jpg)
26ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Several slides from Andy Wolski on Fermi GDE Meetings.
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27ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Possible “alternative” FODO lattice
injectionextraction
Yi-Peng Sun (IHEP)Jie Gao (IHEP)
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28ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Possible “alternative” FODO lattice
Potential advantages of the FODO alternative include:improved flexibility, from the ability to vary the momentum compaction factor (can play off bunch length against instability thresholds);improved performance, from increased dynamic aperture;reduced cost, from reduced number of magnets.
The OCS8 lattice is more mature, and the engineering design studies are more likely to proceed smoothly if based on this lattice.
A systematic comparison is needed to decide whether the potential benefits of the FODO lattice could be realised in practice.
Comparative studies of the OCS8 and FODO lattice are planned, and a decision on the lattice will be made by the end of 2007.
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29ILC DR Alternative Lattice DesignYi-Peng Sun et al.
Acknowledgement
Thanks to A. Xiao and L. Emery et al. in ANL who designed the RF/wiggler sections.
Many thanks to Prof. M. Zisman for his kind suggestions and help. Also thanks Prof. Cai of SLAC for his help.
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30ILC DR Alternative Lattice DesignYi-Peng Sun et al.