Tune Difference in Damping Ring
• The model lattice tune after injection tuning(⌫x , ⌫y ) = (9.10, 7.02)• Measured tune(⌫x , ⌫y ) = (8.83, 6.28)<latexit sha1_base64="z8858vnbqitq2pXsDLJ+OxSk7GA=">AAACnnichVFNLwNRFD3G93exETZoSCUyeS2hJBJhwUYoqk1aaWbGw6TTmcnMtFENsfYHLKxISMSCnR9g4w9Y9CeIJYmNhTvTSYQGdzJzzzvvnjvnvSubmmo7jJVrhNq6+obGpuaW1rb2js5AV/embeQthccVQzOspCzZXFN1HndUR+NJ0+JSTtZ4Qs4uuPuJArds1dA3nKLJt3LSrq7uqIrkEJUJ9IXSej6zP3bkpuLobCgqRsfHJsVIdDQTCDKReTFQDcI+CMKPVSNwjzS2YUBBHjlw6HAIa5Bg05NCGAwmcVsoEWcRUr19jkO0kDZPVZwqJGKz9N2lVcpndVq7PW1PrdBfNHotUg5gmD2xa/bKHtkNe2Yfv/YqeT1cL0XKckXLzUznSe/6+7+qHGUHe1+qPz072EHU86qSd9Nj3FMoFX3h4PR1fWZtuDTCLtgL+T9nZfZAJ9ALb8pljK+d/eFHJi90YzSg8M9xVIN4RJwWw7GJ4Ny8P6km9GMIIRrHFOawhFXEqf0xrnCLO2FQWBSWhZVKqVDja3rwLYTkJ82jl/c=</latexit>• Tune difference( ⌫x ,<latexit sha1_base64="2kKClDNh8gJtlRnKXs8BQqC+0v0=">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</latexit>⌫y ) = ( 0.27, 0.74)• Unbalance between horizontal and vertical directions.

2018/03/14

The 22nd KEKB Accelerator Review Committee

1

Multi Slice Modeling of Bend Magnet• DR bending magnet has large saggita• Modeled by a series of multipole slices. (MULT element)

2018/03/14

The 22nd KEKB Accelerator Review Committee2Linear Soft-fringe in SAD

Thanks to D. Zhou and K. Oide

• Three linear soft-fringe parameters, F1, FB1 and FB2• We thought,F1
FB1
FB2->->->

Quadrupole and dipole field
Dipole fringe parameter for the entrance
Dipole fringe parameter for the exit->->->

Quadrupole fringe ONLY
Dipole fringe at the entrance
Dipole fringe at the exit

• Actually,F1
FB1
FB2• Therefore, the dipole fringe was missing in the model lattice.
• If we put FB1 and FB2 in addition to F1, the model tune changes(⌫x , ⌫y ) = (9.10, 6.65)(⌫x , ⌫y ) = (9.10, 7.02)<latexit sha1_base64="JQrwnKjduB/Qzmf3Y3XAnh1M96Q=">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</latexit>

Measured value is (⌫x , ⌫y ) = (8.83, 6.28)<latexit sha1_base64="z8858vnbqitq2pXsDLJ+OxSk7GA=">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</latexit>• More study using the modified lattice will be performed.
2018/03/14

The 22nd KEKB Accelerator Review Committee

3Effect on Main Ring IR Modeling• Interaction region is modeled by a similar multi-slice method• FB1 and FB2 affect optics because there is a tilted solenoid field.

• Morita-san made estimation

LER (Phase 3 lattice)( ⌫x ,<latexit sha1_base64="uVzRLNmkeeQ+5uS3PzX9Gpp8Dpc=">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</latexit>⌫y ) = ( 0.00009, 0.002)

HER (Phase 3 lattice)( ⌫x ,<latexit sha1_base64="Nkj7CYvQQC02Jn2bMjFDVT78acc=">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</latexit>

2018/03/14⌫y ) = ( 0.0009, 0.0002)
The 22nd KEKB Accelerator Review Committee

4

Parameters with
OldParameters
Model in Commissioning
MachineParameters
Energy1.1

GeV

Circumference

135.498295

m# of bunch2# of bunch / train

2Max. stored current

11mA

Energy loss per turn

0.0847MV

Damping time (tx / ty / tz)

11.5 / 11.7 / 5.8msec

Emittance (ex /ey / ez)

29.7 / 1.5 / 3673

nmey / ex

5%nx / ny / ns

8.830 / 6.280 / -0.018

Energy spread

0.055

%

Bunch length

6.7mm

Mom. Comp. factor

0.0103# of cells

32

Total RF voltage

1.0

RF frequency
2018/03/14

Unit509

The 22nd KEKB Accelerator Review Committee

MVMHz

0.7nC/bunch
spdr_0029_Vc1MV.sad

03/12/2018

5Parameters with
Modified
ModelMachine
Parametersin Commissioning
Parameters
Energy1.1GeVCircumference

135.498295

m# of bunch2# of bunch / train

2

Max. stored current

11mA

Energy loss per turn

0.0847MV

Damping time (tx / ty / tz)

11.5 / 11.7 / 5.8

msec

Emittance (ex /ey / ez)

29.2 / 1.5 / 3630

nm

ey / ex5%nx / ny / ns

8.830 / 6.280 / -0.018

Energy spread

0.055

%

Bunch length

6.6mm

Mom. Comp. factor

0.0100# of cells

32

Total RF voltage

1.0

RF frequency
2018/03/14

Unit509

The 22nd KEKB Accelerator Review Committee

MVMHz0.7nC/bunch
spdr_0030_Vc1MV.sad

03/12/20186