Analysis of Achromat Cooling Ring Lattice Status and Plans

1
Analysis ofAchromat Cooling Ring LatticeStatus
and Plans

• J. Park, J.S. Berg and H. Kirk
• Dec. 1, 2009

2
Lattice Analyzed

• Four- and Eight-bend achromat
• Solenoid focused
• Total bend 180o (2-cell) or 90o (4-cell)
• Long drift with solenoid in center

3
Lattice AnalyzedHalf and Quarter Super-period
  4-Cell 1.25 4-Cell 1.75 4-Cell 1.60 2-Cell 1.60
SP-Theta rad 3.141592654 1.570796327 1.570796327 3.141592654
SP-Circum. m 10.625 6.625 6.625 6.625
of Arc ( or SP) 2 4 4 2
of Dipole 8 4 4 4
Ring SP-SP SP-SP-SP-SP SP-SP-SP-SP SP-SP
Ring Circum. m 21.25 26.5 26.5 13.25
BSOLD 4.629787863 4.629787863 4.629787863 4.323292563
BSLOE 4.428430282 5.710269234 4.811982675 4.811982675
4
Linear Lattice ParametersCase 1 2-cell

• 2- Four bend achromat
• Superperiod tunes between 1.5 and 2.0 1.60 at
  145 MeV/c
• Minimum time of flight is 167 MeV/c
• Passband from 132 MeV/c to 154 MeV/c
• Dynamic aperture drops below 140 MeV/c

5
Linear Lattice ParametersCase 2 4-cell

• 4-Four bend achromat instead of 2-Four bend
  achromat
• Superperiod tunes between 1.5 and 2.0 1.60 at
  145 MeV/c
• Minimum time of flight is over 190 MeV/c
• Passband from 132 MeV/c to 151 MeV/c
• Dynamic aperture drops below 140 MeV/c

6
Linear Lattice ParametersCase 3 4-cell

• 4-Four bend achromat
• Superperiod tunes between 1.5 and 2.0 1.75 at
  145 MeV/c
• Minimum time of flight is over 190 MeV/c
• Passband from 140 MeV/c to 161 MeV/c
• Dynamic aperture drops below 145 MeV/c

7
Linear Lattice ParametersCase 4 4-cell

• 2-Eight bend achromat
• Superperiod tunes between 1.0 and 1.5 1.25 at
  145 MeV/c
• Minimum time of flight is over 167 MeV/c
• Passband from 132 MeV/c to 160 MeV/c
• Dynamic aperture drops below 140 MeV/c

8
Eigenvalues (Tunes)
9
Closed Orbit Position
10
Time of Flight
11
Dynamic Aperture 2- and 4-cell 1.60
2-cell 1.60
4-cell 1.60
12
Dynamic Aperture 4-cell 1.75 and 4-cell 1.25
4-cell 1.75
4-cell 1.25
13
Lattice Analyzed

• Make tune 1.25 instead of 1.75
• Wider energy acceptance

Needs to

• insert RF Parameters
• cooling