Optics Tuning in 2024a
Hiroshi Sugimoto
Beam optics group
The 27th KEKB Accelerator Review Committee 25th~27th March 2024

Contents• Several Topics in 2024a Run• Optics Tuning for Nonlinear Collimator (D05V1) in LER• Estimation of Betaron-Detuning in HER - Very Preliminary -2024/3/25~27

The 27th KEKB Accelerator Review Committee2

Several Topics in 2024a Run

2024/3/25~27

The 27th KEKB Accelerator Review Committee

3

Closed Orbit Cleaning• We spend more time in orbit tuning to establish smooth gold orbit.
• Beam orbit is smoother than that of before LS1, especially in HER.
• Proper management of the orbit reduces the # of iterations in the optics correction.

LER

HER
Gray 2022ab end

IP2024/3/25~27

The 27th KEKB Accelerator Review Committee

4Orbit Tuning Tool for Sextupole• An orbit tuning tool dedicated to sextupoles was developed by Morita-san.
• It corrects the orbit locally by using localized bump orbit.
• It is very simple to use and very efficient for orbit tuning.
Example: Orbit tuning for SLY magnets

Before tuning
After tuning

2024/3/25~27

The 27th KEKB Accelerator Review Committee

5Vertical Emittance Just After Optics Tuning
2022ab2024a

HER

20 ~ 40 pm

10 ~ 20 pm

LER

20 ~ 40 pm

10 ~ 20 pm

Vertical emittance during optics tuning• The vertical emittance is lower than that of2022ab.
• The reason of the improvement is still not clear.
Thanks to the smoother COD?
-> Under consideration.
• It is better to perform beam-beam scan with very
low bunch current to make sure that we reallyachieved lower vertical emittance?
• The vertical emittance does not show clear
dependence on by* so far.
• Maintaining the vertical emittance is more difficult
in lower by* operation.

Optics Tuning

2024/3/25~27

The 27th KEKB Accelerator Review Committee

6Cooling Water and Vertical Tune Fluctuation• We observed large tune fluctuation compared to that of 2022ab• Correlation with the cooling water flow for beam-pipe was pointed out. (by M. Kikuchi)• Tuning of PID parameters for the cooing water system recovers the situation.
K. Watanabe
No beam

HER 300mA
LER 400mA

Adjustment of
PID feedback

Cooling water flow

Pilot bunch tune

2024/3/25~27

The 27th KEKB Accelerator Review Committee

7

Optics tuning
for Nonlinear Collimator (D05V1) in LER

2024/3/25~27

The 27th KEKB Accelerator Review Committee

8

Beam Optics for D05V1• A new skew sextupole (SNAP) pair with high vertical betatron function.
• Utilization of nonlinear vertical kick and a ‒ I cell.
<latexit sha1_base64="rbvoG/8zz8pEQAum6NiRVvbvu6Q=">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</latexit>py / SK2 (y 2x2 )• Better collimation effect with larger
collimator gap.

<latexit sha1_base64="+eGgd8l2QYMSrtGoEBc3+F5ZNdk=">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</latexit><latexit sha1_base64="D1LP503WXbzIwaZMacXuGBdk8so=">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</latexit>

SNAP.1• Lower transverse impedance.

I
y =⇡

D05V1

SNAP.2• The nonlinear kick is localized in the
SNAP pair thanks to the ‒ I cell condition.

(Vertical collimator)
2024/3/25~27

The 27th KEKB Accelerator Review Committee

9

Beam Optics Parameters•<latexit sha1_base64="CIia6s4awr82j1viBWjFZ4uGE90=">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</latexit>1]
is larger
than that of SLY magnet.
y ⇥ (K2 or SK2) [m• Careful attention to the orbit at SNAP is essential for the stable operation.
QC1
SLYTRP<latexit sha1_base64="uplzVjZBPpsH+3ipZaLXhJVewzY=">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</latexit>

SLYTLP

SNAP

⇤
y =

1 mm

SNAP

SLYTLP1SLYTLP2SLYTRP1SLYTLP2

387

525

521

-6

1.3
3.5

1.2
3.5

682.5
1838

625
1823

<latexit sha1_base64="ZV2evzMctEwYwYfk7MTWvyCMhGc=">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</latexit>y [m]K2 or SK2 [m 2 ]<latexit sha1_base64="zUTavcKhh4bGWmTFglcDYGQxabM=">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</latexit>

K2 or SK2 [m 2 ]<latexit sha1_base64="stCW+qo8Exlq8B22BY4ggMspku0=">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</latexit><latexit sha1_base64="CIia6s4awr82j1viBWjFZ4uGE90=">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</latexit><latexit sha1_base64="CIia6s4awr82j1viBWjFZ4uGE90=">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</latexit>y ⇥ (K2 or SK2) [my ⇥ (K2 or SK2) [m2024/3/25~27

1

]

1

]

-2322

The 27th KEKB Accelerator Review Committee

10Optics Distortion caused by Orbit Deviation at SNAP
• Horizontal orbit deviation
Mainly causes Betatron-coupling (XY-coupling) -> Vertical emittance degradation• Vertical orbit deviation
Mainly causes Beta-beating including tune shift

Beta-beating

Vertical emittance
Red: Sine-like orbits
Blue: Cosine-like orbits

2024/3/25~27

The 27th KEKB Accelerator Review Committee

11

Startup of the D05V1 Section• Started with smaller beta function and weaker field strength of SNAP.
(SK2=-1 for the startup. The nominal value is SK2=-6)• Move on to the nominal optics and change SK2 from -1 to -6.
~ 02/05/2024
Before Non-liner Collimator Optics

02/06/2024 ~Non-liner Collimator Optics

SNAP.1
SNAP.2SK2 = -1SK2 = -62024/3/25~27(nominal value)

The 27th KEKB Accelerator Review Committee

12Large Beta-beating at D05V1 ?
• The measured vertical beta-beating at D05V1 becomes larger as we increases SK2.
• The beta-beating at D05V1 could not be corrected using existing knobs.
SNAP SK2 = -1

<latexit sha1_base64="ZSg+o1QUQDcH/aB2EUVf7jja+Dc=">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</latexit>

SNAP SK2 = -３

y / y ⇠ 20 %<latexit sha1_base64="uTBPCGawh+DG1P+cAkwu400YCog=">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</latexit>

SNAP SK2 = -6

y / y ⇠ 80 %<latexit sha1_base64="X9uvDK3pgZk6WuNRU0p0zJSj6Ig=">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</latexit>

SNAP.1y / y ⇠ 180 %

SNAP.2MQN3OP(D05V1 Vertical collimator)
2024/3/25~27

The 27th KEKB Accelerator Review Committee

13Vertical Phase Space and Orbit Response at D05V1• The essence of nonlinear collimator is lattice nonlinearity.
• The strong nonlinearity disturbs the orbit response inside of SNAP pair
Orbit Response - simulation SNAP SK2 = 0

SK2 = - 3

2024/3/25~27

SK2 = - 6

The 27th KEKB Accelerator Review Committee

14

Simulation of Optics Measurement at D05V1• Emulation of the real measurement procedure on the model lattice- No lattice error and no BPM reading error.
- Extract betatron function from 6 kinds of orbit responses.
• Apparent large beta-beating is indeed appeared.

SNAP SK2 = 0

SNAP1

MQN3OPSK2 = - 6

SNAP22024/3/25~27

The 27th KEKB Accelerator Review Committee

15

Comparison between Simulation and Measurement• Apparent beta-beating depends on SK2 and the amount of kick angle used in optics measurement.
• Measurement results are qualitatively consistent with simulation results.
• A quantitative difference between them may be coming from lattice error and measurement uncertainty.

SK2 Dependence

Kick-Angle Dependence

Simulation (no lattice error)

Measurement<latexit sha1_base64="XiGkT6Pi3ugGZRaQDgzhAuDljto=">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</latexit>

Nominal Kick angle
applied in the realmeasurement

model@MQN3OP = 4.1 m
y2024/3/25~27

The 27th KEKB Accelerator Review Committee

16

Extraction of Linear Component
Orbit Response at MQN3OP• The 2nd polynomial fitting to measured
response.

Analytical formula with model optics
Measurement and fitted curvey(K0 ) = A K0 + B K02<latexit sha1_base64="T1K4sBqVXasdoIBkl/G9bUHQsr4=">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</latexit>• Measured response is well described by thefitting.
• In principle, we can reduce nonlinear
component by using the fitting results.

• However, itʼs hard to perform measurementwith various kick angles in practice because
it is too time consuming.

2024/3/25~27

The 27th KEKB Accelerator Review Committee

17

Cleaning of Nonlinear Component• Try to extract linear component only by using,

Blue: W/O cleaning<latexit sha1_base64="XiGkT6Pi3ugGZRaQDgzhAuDljto=">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</latexit>

Green: an analytical formula.
Red: the fitting to the measured orbit response• Even after the cleaning, estimated beta
function has kick-angle dependence.
• It seems that uncertainty of beta-function
measurement is an order of 10 %.

model@MQN3OP = 4.1 m
y• We have a chance to perform optics
measurement in the case of SK2=0 soon.

2024/3/25~27

The 27th KEKB Accelerator Review Committee

18

Estimation of Betatron Detuning in HER- Very Preliminary -2024/3/25~27

The 27th KEKB Accelerator Review Committee

19

Estimation of Amplitude Detuning• Analysis of measurement data taken in the ring aperture measurement performed by Ohnishi-san.
• Vertical kick is applied to the storage beam with various kick amplitudes.
• Perform frequency analysis using NAFF for first a few hundred turns for several BPMs.
• Action variable is estimated by the amplitude of the fundamental mode together with the modelbeta-function at the BPM.

2024/3/25~27

The 27th KEKB Accelerator Review Committee

20

Estimation Results ( , ) = (60, 1) mm<latexit sha1_base64="WothODXksKUnlVwVr9J5BUdZ2aE=">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</latexit>

⇤
x

⇤
y

Pr
eli
No Craw Waist 03/14/2024 minary⌫y = ⌫0 + ↵yy Jy + ↵yx Jx + · · ·<latexit sha1_base64="qLN/pD1KySsFPaf+m+ntmPx4mOY=">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</latexit>• Tune shift with amplitude• The measurement is not consistent
with the model lattice.

Measurement• The detuning parameter ayy of themodel lattice is negative
owing to octupole-like effects from
SLY thickness and octupoles in IR<latexit sha1_base64="K7Nprs/9iyS5XJcVJ1wpCRwp4z4=">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</latexit>

Simulation(single particle tracking)s↵yy⇡<latexit sha1_base64="RPRRFB9gwlVTZWFKpSddlkxTtko=">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</latexit>o↵yy⇡2024/3/25~27

1
K22 ( ys )2 Ls
16⇡
1
K3 ( yo )2
16⇡

The 27th KEKB Accelerator Review Committee21

Results for Different• The detuning is smaller for larger<latexit sha1_base64="WothODXksKUnlVwVr9J5BUdZ2aE=">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</latexit>

(

⇤
x,

⇤
y) =

⇤
y

<latexit sha1_base64="mty70uoh2eCCkuuxIoGvuHeEKcc=">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</latexit><latexit sha1_base64="mty70uoh2eCCkuuxIoGvuHeEKcc=">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</latexit>

No Craw Waist⇤
y as expected.

( x⇤ ,<latexit sha1_base64="pc2OvxERKNVGoCBLZLvPiz3JVRA=">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</latexit>(60, 1) mm

03/14/2024

Pr
eli
mi
na
ry

⇤
y ) = (100, 3) mm

02/29/2024

Measurement

Simulation(single particle tracking)2024/3/25~27

The 27th KEKB Accelerator Review Committee

22Error Fields in IR• QC1P cancel coil in the HER beamline has manufacturing errors.

QC1P漏れ磁場キャンセル磁石について• QC1PのHERビームラインへの漏れ磁場の磁場測定値• It causes additional skew sextupol&octupole fields mainly.
–

QC1PからHERビームライン上へ漏れてくる磁場を消去する特殊な形状の電磁石（6極、8極、10極、12極）• QC1PのHERビームラインへの漏れ磁場の磁場測定値
HERビームライン上の座標は、QC1Eの磁場位相角度を基準としている。

QC1P漏れ磁場キャンセル磁石について•The
error fields are not included in the IR model used in the operation yet.
–––

QC1PからHERビームライン上へ漏れてくる磁場を消去する特殊な形状の電磁石（6極、8極、10極、12極）
HERビームライン上の座標は、QC1Eの磁場位相角度を基準としている。

Skew成分がSkew成分が増加する方向増加する方向Skew sextupole
Skew octupole
計算モデル

計算モデル
2023/01/23

2023/01/23

SuperKEKBコミッショニング打合せ（20230203）

SuperKEKBコミッショニング打合せ（20230203） 2024/3/25~27

1

1

The 27th KEKB Accelerator Review Committee

23

Effects of Error Fields in IR

Pr
eli
mi
na
ry

• Detuning calculation with the error field in IR.
• It looks the error field explains the difference between model and real machine.
• It is interesting to change multipole correctors in IR.
Measurement

Simulation (W/ IR Error)

Skew sextupole
Skew octupole
Simulation (No IR Error)

2024/3/25~27

The 27th KEKB Accelerator Review Committee

24Summary• Several Topics in 2024a Run- We spend more time to establish smooth closed orbit.
- Vertical emittance is 10 ~ 20 pm in both rings.
- Vertical tune fluctuation is caused by inappropriate cooling water feedback loop.
-> Fixed, but is there any other parameters to be monitored for stable operation?
- Beam measurement with vertical and longitudinal kickers is now available.

• Optics Tuning for Nonlinear Collimator (D05V1) in LER- The startup of the system was finished.
- Orbit at the skew sextupoles should be monitored carefully.
- Uncertainly of betatron function at D05V1 due to lattice nonlinearity.
-> We will have a chance to measure optics in case SK2=0.
- The collimation performance is now under study -> The next speaker.

• Estimation of Betaron Detuning in HER- Preliminary results shows estimated betatron detunig is not consistent with the model.
- It looks like the known error filed explains the discrepancy between the model and real machine.
- Its is interesting to change multipole correctors of QCS and measure the its effects.
2024/3/25~27

The 27th KEKB Accelerator Review Committee25