Analysis of Multipole Error Effects on Beam Dynamics in CEPC Accelerator

 
PDR multipole error effect on
DA
 
Sha Bai
 
CEPC AP meeting
2016-10-28
 
Source
 
Multipole error from two parts:
Systematic
: intrinsic of magnet geometric charactor
Random
: from manufacture, material character difference
and pole tip difference etc on. Also the differences between
individual magnet
 
BEPCII
 
CEPC
 
DA with no error
 
Without damping
 
With damping
 
DA due to multipole error
 
Attach two multipoles of each magnet in SAD
Tracking in 240 turns, Coupling factor 
=0.003 for emitty
Three different seeds results
Without damping
Only normal multipole errors
Tune has changed
 
 
Attach two multipoles of each magnet
 
 
 
 
 
DA due to multipole error
 
B,Q,S all magnets set to be multipole in SAD
Tracking in 240 turns, Coupling factor 
=0.003 for emitty
Three different seeds results
Without damping
Only normal multipole errors
Tune has changed
 
B,Q,S all magnets set to be MULT
 
DA due to multipole error
 
Attach two multipoles of each magnet in SAD
Tracking in 240 turns, Coupling factor 
=0.003 for emitty
Three different seeds results
Without damping
Normal and skew multipole errors
 
 
Attach two multipoles of each magnet
 
 
 
 
DA due to multipole error
 
Attach two multipoles of each magnet
 
20 seeds results join together
 
20 seeds results average
 
Attach two multipoles of each magnet in SAD
Tracking in 240 turns, Coupling factor 
=0.003 for emitty
20 seeds results
Without damping
Normal and skew multipole errors
 
DA due to multipole error
 
B,Q,S all magnets set to be multipole in SAD
Tracking in 240 turns, Coupling factor 
=0.003 for emitty
Three different seeds results
Without damping
Normal and skew multipole errors
Tune has changed
 
B,Q,S all magnets set to be MULT
 
 
 
DA due to multipole error
 
B,Q,S all magnets set to be multipole in SAD
Tracking in 240 turns, Coupling factor 
=0.003 for emitty
20 seeds results
Without damping
Normal and skew multipole errors
Tune has changed
 
B,Q,S all magnets set to be MULT
 
 
 
20 seeds results join together
 
20 seeds results average
 
Conclusion
 
With BEPCII multipole errors, the off-momentum dynamic aperture
reduced quite obviously for both methods--- adding two multipoles of
each magnet and set magnet to MULT.
Adding two multipoles of each magnet, the off-momentum DA
reduced to zero when introduce BEPCII multipole errors both of
normal and skew component.
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The content discusses the impact of multipole errors on the beam dynamics at the CEPC Accelerator, focusing on sources of error, measurements, and potential effects on the beam. The analysis includes different types of multipole errors, their sources, and the resulting changes in tune and emittance due to these errors. Various scenarios are explored, such as the attachment of multiple multipoles to magnets and the setting of all magnets to be multipole. The study considers the effects of these errors both with and without damping, highlighting how they can alter the beam trajectory and properties over multiple turns of tracking.


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  1. PDR multipole error effect on DA Sha Bai CEPC AP meeting 2016-10-28

  2. Source Multipole error from two parts: Systematic: intrinsic of magnet geometric charactor Random: from manufacture, material character difference and pole tip difference etc on. Also the differences between individual magnet

  3. BEPCII CEPC bend quad sext bend quad sext Dx(mm) 0.2 0.15 0.15 0.3 0.1 0.15 Dy(mm) 0.2 0.15 0.15 0.2 0.1 0.15 Tilt(mrad) 0.1 0.2 0.5 0.1 0.1 0.5 B*L 3e-4 3e-4 2e-3 5e-4 5e-4 4e-3 3e-4 8e-4 quadrupole (s) sextupole(s) 6e-4 5e-5 2e-4 6e-4 7e-5 6e-4 7e-5 5e-4 1.7e-3 Octupole(s) 5e-4 9e-5 2e-4 1.3e-4 6.9e-4 3.4e-3 Decapole(s) 6e-4 5e-4 1.4e-4 1e-3 6.5e-3 Dodecapol e(s) Quadrupol e(r) Sextupole(r) 1e-4 3e-4 2e-4 1e-4 1e-4 3e-3 2.9e-4 1.2e-3 1e-4 1e-4 3e-4 2e-4 1e-3 2e-2 Multipole(r)

  4. DA with no error y y 140 dp p 2 120 dp p 1.5 100 dp p 1 dp p 0.5 80 dp p 0 dp p 0.5 60 dp p 1 dp p 1.5 40 dp p 2 20 x x 40 20 0 20 40 With damping Without damping

  5. DA due to multipole error Attach two multipoles of each magnet y y y y y y 200 200 200 dp p 2 dp p 2 dp p 2 150 150 150 dp p 1.5 dp p 1.5 dp p 1.5 dp p 1 dp p 1 dp p 1 dp p 0.5 dp p 0.5 dp p 0.5 dp p 0 dp p 0 dp p 0 100 100 100 dp p 0.5 dp p 0.5 dp p 0.5 dp p 1 dp p 1 dp p 1 dp p 1.5 dp p 1.5 dp p 1.5 50 50 50 dp p 2 dp p 2 dp p 2 x x x x x x 40 20 0 20 40 40 20 0 20 40 40 20 0 20 40 Attach two multipoles of each magnet in SAD Tracking in 240 turns, Coupling factor =0.003 for emitty Three different seeds results Without damping Only normal multipole errors Tune has changed

  6. DA due to multipole error B,Q,S all magnets set to be MULT y y y y 200 200 y y 200 dp p 2 dp p 2 150 150 dp p 1.5 dp p 2 dp p 1.5 150 dp p 1 dp p 1.5 dp p 1 dp p 1 dp p 0.5 dp p 0.5 dp p 0.5 dp p 0 dp p 0 100 100 dp p 0 100 dp p 0.5 dp p 0.5 dp p 0.5 dp p 1 dp p 1 dp p 1 dp p 1.5 dp p 1.5 dp p 1.5 50 50 dp p 2 dp p 2 50 dp p 2 x x x x x x 40 20 0 20 40 40 20 0 20 40 40 20 0 20 40 B,Q,S all magnets set to be multipole in SAD Tracking in 240 turns, Coupling factor =0.003 for emitty Three different seeds results Without damping Only normal multipole errors Tune has changed

  7. DA due to multipole error Attach two multipoles of each magnet y y y y y y 200 200 200 dp p 2 dp p 2 dp p 2 150 150 dp p 1.5 dp p 1.5 150 dp p 1.5 dp p 1 dp p 1 dp p 1 dp p 0.5 dp p 0.5 dp p 0.5 dp p 0 dp p 0 100 100 dp p 0 100 dp p 0.5 dp p 0.5 dp p 0.5 dp p 1 dp p 1 dp p 1 dp p 1.5 dp p 1.5 dp p 1.5 50 50 50 dp p 2 dp p 2 dp p 2 x x x x x x 40 20 0 20 40 40 20 0 20 40 40 20 0 20 40 Attach two multipoles of each magnet in SAD Tracking in 240 turns, Coupling factor =0.003 for emitty Three different seeds results Without damping Normal and skew multipole errors

  8. DA due to multipole error Attach two multipoles of each magnet y y y y 200 200 dp p 2 150 150 dp p 1.5 dp p 1 dp p 0.5 dp p 0 100 100 dp p 0.5 dp p 1 dp p 1.5 50 50 dp p 2 x x x x 40 20 0 20 40 40 20 0 20 40 20 seeds results join together 20 seeds results average Attach two multipoles of each magnet in SAD Tracking in 240 turns, Coupling factor =0.003 for emitty 20 seeds results Without damping Normal and skew multipole errors

  9. DA due to multipole error B,Q,S all magnets set to be MULT y y y y y 200 y 200 140 dp p 2 dp p 2 dp p 2 120 150 dp p 1.5 150 dp p 1.5 dp p 1.5 dp p 1 100 dp p 1 dp p 1 dp p 0.5 dp p 0.5 dp p 0.5 dp p 0 100 80 dp p 0 dp p 0 100 dp p 0.5 dp p 0.5 dp p 0.5 dp p 1 60 dp p 1 dp p 1 dp p 1.5 dp p 1.5 dp p 1.5 50 40 50 dp p 2 dp p 2 dp p 2 20 x x x x x x 40 20 0 20 40 40 20 0 20 40 40 20 0 20 40 B,Q,S all magnets set to be multipole in SAD Tracking in 240 turns, Coupling factor =0.003 for emitty Three different seeds results Without damping Normal and skew multipole errors Tune has changed

  10. DA due to multipole error B,Q,S all magnets set to be MULT y y y y 200 200 dp p 2 150 150 dp p 1.5 dp p 1 dp p 0.5 100 dp p 0 100 dp p 0.5 dp p 1 dp p 1.5 50 50 dp p 2 x x x x 40 20 0 20 40 40 20 0 20 40 20 seeds results join together 20 seeds results average B,Q,S all magnets set to be multipole in SAD Tracking in 240 turns, Coupling factor =0.003 for emitty 20 seeds results Without damping Normal and skew multipole errors Tune has changed

  11. Conclusion With BEPCII multipole errors, the off-momentum dynamic aperture reduced quite obviously for both methods--- adding two multipoles of each magnet and set magnet to MULT. Adding two multipoles of each magnet, the off-momentum DA reduced to zero when introduce BEPCII multipole errors both of normal and skew component.

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