FFAG Lattices

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Here we list various lattices and their parameters. Apertures (ax and ay) are full apertures. If a magnet is given a length of zero, its strength is an integrated strength. All field values and derivatives are about the closed orbit at the reference energy.

Carol's Reference Lattice

Minimum Energy6 GeV
Reference Energy16.3 GeV
Maximum Energy20 GeV
Cells314
 L (m)ax (cm)ay (cm)B (T)dB/dx (T/m)d2B/dx2 (T/m2)
QF0.152210 75.019 
D3.0     
QD0.3515101.0879-32.152 
D3.0     

Dejan's Reference Lattice

Minimum Energy10 GeV
Reference Energy15 GeV
Maximum Energy20 GeV
Cells40
 L (m)ax (cm)ay (cm)B (T)dB/dx (T/m)d2B/dx2 (T/m2)
SD0.019457686    -32980.309
QD20.1   -257.74357 
D21.0021862     
QF0.28   265.608513672.7387
D30.67335609     
B0.2  9.8242735  
BD0.4  9.8242735-70 
B0.2  9.8242735  
D30.67335609     
QF0.28   265.608513672.7387
D21.0021862     
QD20.1   -257.74357 
SD0.019457686    -32980.309

KEK Reference Lattices

Minimum Energy10 GeV10 GeV
Maximum Energy20 GeV20 GeV
Cells180120
k670330
Radius200 m120 m
Orbit Excursion206 mm251 mm
B max5.86 T7.73 T
Beta max (h)9.438.28
Beta max (v)21.421.3
Max beam size (h)106 mm100 mm
Max beam size (v)160 mm160 mm
Opening angle (F)0.562°0.87°
Opening angle (D)0.438°0.63°
Packing factor0.50.5
Max B on orbit5.86 T7.73 T
Tune (h)41.328.1
Tune (v)15.79.38
Phase Advance (h)82.2°84.3°
Phase Advance (v)31.4°28.1°
Revolution Frequency0.24 MHz0.4 MHz
RF Voltage (average)0.75 MV/m0.75 MV/m
RF Frequency24 MHz12-18 MHz
Harmonic Number10030-45
Turns1520-30

Opening angles in the above table include ends of 30 cm for the 200 m lattice and 20 cm for the 120 m lattice. Field profiles should be based on the subsequent tables.

 L (m)ax (cm)ay (cm)B (T)
QD0.93  5.795
D2.35   
QF1.36  -3.636
D2.35   
 L (m)ax (cm)ay (cm)B (T)
QD0.92  7.738
D1.97   
QF1.42  -4.857
D1.97   
Privacy and Security Notice

J. Scott Berg <jsberg@bnl.gov>
7 November 2002.