Sawtooth effect in CEPC PDR

"Study on the sawtooth effect within the CEPC project presented by PDRSha Bai, Yiwei Wang, Huiping Geng, Chenghui Yu, Feng Su, Tianjian Bian, and Jie Gao at the CEPC-AP meeting in 2016. The research delves into the characteristics and implications of the sawtooth phenomenon observed in the project's data."

• Sawtooth Effect
• CEPC
• PDRSha Bai
• Research
• Data Analysis

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1. Sawtooth effect in CEPC PDR Sha Bai, Yiwei Wang, Huiping Geng, Chenghui Yu, Feng Su, Tianjian Bian, Jie Gao CEPC-AP-meeting 2016-12-09

2. Scale magnets Scaling B,Q,S magnets in all arc section Scaling B,Q manets in public beamline Lattice version: CEPC-ARC4-PDR3-IR1 Energy loss of each B magnet=U0/Bnumber

3. Without sawtooth

4. With sawtooth (8 arc section scaling)

5. Twiss parameters comparison (8 arc section scaling) NO Sawtooth Sawtooth x y x* y* x z 0.0800001 0.0791565 0.2200000 0.2162617 0.219915 0.220747 0.001000 0.001013 2.15121nm 2.25805nm 3.38423E-6 m 3.89783E-6 m Bunch length 2.53716622 mm 2.92415163 mm

6. Dynamic aperture comparison (8 arc section scaling) y y y y 140 140 dp p 2 120 dp p 2 120 dp p 1.5 dp p 1.5 100 dp p 1 100 dp p 1 dp p 0.5 dp p 0.5 80 80 dp p 0 dp p 0 dp p 0.5 dp p 0.5 60 60 dp p 1 dp p 1 dp p 1.5 dp p 1.5 40 40 dp p 2 dp p 2 20 20 x x x x 40 20 0 20 40 40 20 0 20 40 No sawtooth With sawtooth Off-momentum DA reduced obviously.

7. With sawtooth (8 arc section and public magnets scaling)

8. Twiss parameters comparison (8 arc section and public magnets scaling) NO Sawtooth Sawtooth (only 8 arc magnets) Sawtooth (add public magnets) x y x* y* x z 0.0800001 0.0791565 0.0792002 0.2200000 0.2162617 0.2164171 0.219915 0.220747 0.220100 0.001000 0.001013 0.001008 2.15121 nm 2.25805 nm 29.8862 nm 3.38423E-6 m 3.89783E-6 m 3.29575E-6 m Bunch length 2.53716622 mm 2.92415163 mm 2.65484053 mm

9. Dynamic aperture comparison (8 arc section and public magnets scaling) y y y y 140 140 dp p 2 dp p 2 120 120 dp p 1.5 dp p 1.5 100 100 dp p 1 dp p 1 dp p 0.5 dp p 0.5 80 80 dp p 0 dp p 0 dp p 0.5 dp p 0.5 60 60 dp p 1 dp p 1 dp p 1.5 dp p 1.5 40 40 dp p 2 dp p 2 20 20 x x x x 40 20 0 20 40 40 20 0 20 40 No sawtooth With sawtooth Both On-momentum and Off-momentum DA reduced obviously.

10. Harmonic function comparison No sawtooth With sawtooth

11. Reduce Synchrotron Radiation to 1/n Horizontal orbit change With sawtooth 1/2 1/5 1/15 1/20 1/10

12. Twiss parameters comparison NO Sawtooth 1/2 1/5 1/10 1/20 Sawtooth x y x* y* x z 0.0800001 0.0792002 0.0791472 0.0794170 0.0795570 0.0796365 0.2200000 0.2164171 0.2184707 0.2193135 0.2195299 0.219626 0.219915 0.220100 0.219942 0.219865 0.219842 0.219832 0.001000 0.001008 0.001002 0.00100 0.001000 0.001000 2.15121 nm 29.8862 nm 5.72227nm 3.1867nm 2.86467nm 2.77596nm 3.38423E-6 m 3.29575E-6 m 3.56944e- 6m 3.80118e- 6m 3.84369e- 6m 3.85693e- 6m Bunch length 2.53716622 mm 2.65484053 mm 2.79529913 mm 2.88737412 mm 2.90361538 mm 2.90857672 mm

13. Dynamic aperture y y y y y y 140 140 140 dp p 2 dp p 2 120 120 dp p 2 120 dp p 1.5 dp p 1.5 dp p 1.5 100 100 dp p 1 dp p 1 100 dp p 1 dp p 0.5 dp p 0.5 dp p 0.5 80 80 dp p 0 dp p 0 80 dp p 0 dp p 0.5 dp p 0.5 60 60 dp p 0.5 dp p 1 dp p 1 60 dp p 1 dp p 1.5 dp p 1.5 40 40 dp p 1.5 40 dp p 2 dp p 2 dp p 2 20 20 20 x x x x x 40 20 0 20 40 40 20 0 20 40 x 40 20 0 20 40 With sawtooth 1/2 No sawtooth y y y y y y 140 140 140 dp p 2 120 dp p 2 120 dp p 1.5 dp p 2 120 dp p 1.5 100 dp p 1 dp p 1.5 100 dp p 1 dp p 0.5 100 dp p 1 80 dp p 0.5 dp p 0 dp p 0.5 80 dp p 0 80 dp p 0.5 dp p 0 60 dp p 0.5 dp p 1 dp p 0.5 60 60 dp p 1 dp p 1 dp p 1.5 40 dp p 1.5 dp p 1.5 40 dp p 2 40 dp p 2 dp p 2 20 20 20 x x x x x 40 20 0 20 40 x 40 20 0 20 40 40 20 0 20 40 1/20 1/10 1/5

14. Conclusions With sawtooth effect, tune change at 3 digits after the decimal point. Both On-momentum and Off-momentum DA reduced a lot with sawtooth effect. Off-momentum DA beyond 0.5% reduced to zero. Resonance coefficients at interaction point with sawtooth change a lot compared with no sawtooth. Reduce Synchrotron radiation to 1/20, DA still can not recovered.