1. Cornell ERL-FFAG Lattice Using Dejan’s doublet arc cell September 2014Stephen Brooks, FFAG’141

2. Reason for Using Doublets Shifting the F and D magnets together gives a larger drift (still only 10.1cm) without sacrificing much focussing strength This is the same tradeoff EMMA made September 2014Stephen Brooks, FFAG’142

3. Dejan’s 100 cells/turn, 11.5 m diameter Cornell Lattice September 2014Stephen Brooks, FFAG’143 BD QF 10.88 x (mm) -10.68 36.128cm 10.13 cm 3 cm -6.75 mm G D = -35.33 T/m B yD = 0.655 T G F = 52.973 T/m B yF = -0.170 T 9.29 mm 10 cm 13.0 cm B F = -0.170 + 52.973  x =0 x = 0.170/52.973 = 3.2 mm BD=0.655 + (-35.33) x = 0 x = + 18.53mm True quadrupole with offset Combined function B>0

4. Orbits in Real Space in Muon1 September 2014Stephen Brooks, FFAG’144 Orbits not exaggerated, cm grid shown Central multicoloured line is “reference curve”

5. Cell Tunes September 2014Stephen Brooks, FFAG’145

6. Maximum Field on Closed Orbits September 2014Stephen Brooks, FFAG’146 NB: this lattice is calculated for the ambitious selection of energies 112, 212, 312, 412MeV, assuming a 12MeV injector and 100MeV linac. Lower energies will proportionately reduce the maximum fields. 0.865T For 6+4*80 = 326MeV top energy, this would be 0.684T

7. TOF and Path Length per “Turn” September 2014Stephen Brooks, FFAG’147

8. Synchrotron Radiation per “Turn” September 2014Stephen Brooks, FFAG’148 Total loss over full cycle = 3.94keV = 10 -5 of top energy beam power

9. Adiabatic Matching to Straight Over 20 cells, reduces dipole and angle according to 3x 2 -2x 3 where x=(cell #)/21 – 50-cell 180° arc becomes 40 cells plus 20 half- curvature matching cells Corrects orbits to ±0.7mm from centre line September 2014Stephen Brooks, FFAG’149

10. Oval Layout in Cornell L0E Hall September 2014Stephen Brooks, FFAG’1410 11.873m 28.744m = 9.244m for linac + 2*4m splitters + 2*5.75m arcs

11. Errors 100um RMS in XYZ Positions September 2014Stephen Brooks, FFAG’1411 Lowest energy beam lost here

12. Errors 50um RMS in XYZ Positions September 2014Stephen Brooks, FFAG’1412

13. Errors 20um RMS in XYZ Positions September 2014Stephen Brooks, FFAG’1413

14. 1% RMS Quad Strength Errors September 2014Stephen Brooks, FFAG’1414 Lowest energy beam reacts most violently

15. 0.5% RMS Quad Strength Errors September 2014Stephen Brooks, FFAG’1415

16. Systematic Sextupole 120T/m 2 September 2014Stephen Brooks, FFAG’1416 0.012T @ 1cm = 1.4% of max field magnitude This is about the most before beam loss occurs

17. 4m Splitter Attempt (just dipoles) September 2014Stephen Brooks, FFAG’1417 0.08T “pre splitter” to inject/extract 12MeV beam 0.8T splitter dipole 1m grid squares Note unusual order of dipoles to give regular 5-6cm spacing

18. 4m Splitter Attempt (zoom) September 2014Stephen Brooks, FFAG’1418