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Finalising Oct’14 eRHIC lattices Including low-energy ring October 27, 2014Stephen Brooks, eRHIC FFAG meeting1.

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Presentation on theme: "Finalising Oct’14 eRHIC lattices Including low-energy ring October 27, 2014Stephen Brooks, eRHIC FFAG meeting1."— Presentation transcript:

1 Finalising Oct’14 eRHIC lattices Including low-energy ring October 27, 2014Stephen Brooks, eRHIC FFAG meeting1

2 FFAG eRHIC Version History Nov’13 (10GeV) as used in the Machine Advisory Committee last year Jan’14 (21GeV) that we have been using throughout this year so far Hopefully this new ~30T/m lattice work (using same beam energies) will become “Oct’14” All on wiki: – http://www.cadops.bnl.gov/eRHIC/erhicWiki/index.php/FFAG_Design:Electrons:Lattice:Arcs http://www.cadops.bnl.gov/eRHIC/erhicWiki/index.php/FFAG_Design:Electrons:Lattice:Arcs – http://www.cadops.bnl.gov/eRHIC/erhicWiki/index.php/FFAG_Design:Electrons:Lattice:Straights http://www.cadops.bnl.gov/eRHIC/erhicWiki/index.php/FFAG_Design:Electrons:Lattice:Straights October 27, 2014Stephen Brooks, eRHIC FFAG meeting2

3 Oct’14 Version: FFAG Cell Stacking Angle/length will be tweaked to exact number of cells per turn when hadron ring and FFAG physical positioning is chosen October 27, 2014Stephen Brooks, eRHIC FFAG meeting3 QF 25T/m BD 29.256T/m QF 25T/m BD 25T/m QF 25T/m BD 25T/m 6cm drift45cm drift 3.590965m 1.795482m High energy Low energy

4 Muon1 Optimisation Criteria Low-energy FFAG cell must be exactly half of the ~3.591m high-energy cell (so ~1.795m) Drifts of ≥6cm and ≥45cm (or both 45cm) Quad gradients limited to ≤30T/m – In some cases, one or two magnets fixed at 25T/m Tunes must be from 0.032 to 0.410 – Jan’14 lattice was 0.036 to 0.424 Optimise for minimum max|B| October 27, 2014Stephen Brooks, eRHIC FFAG meeting4

5 Table of FFAG1 Optimisation Work October 27, 2014Stephen Brooks, eRHIC FFAG meeting5 Embedded spreadsheet, for reference Eventually chose FODO variant “e” that allowed 3 of 4 magnets to be 25T/m

6 Key Performance Measures October 27, 2014Stephen Brooks, eRHIC FFAG meeting6 Choose this 25T/m FODO lattice (e) Dejan’s “all 30T/m” design Min |B| field with (c) doublet 17.2, 24T/m

7 Comparison of High-Energy Cells ParameterCurrent (Jan’14)Proposed (“Oct’14”) Energy range7.944 – 21.164 GeV Energy ratio2.66× Turns (1.322GeV linac)11 Synchrotron power9.8MW @ 21.1GeV, 18mA 10.2MW @ 15.8GeV, 50mA 3.2MW @ 10.5GeV, 50mA 9.9MW @ 21.1GeV, 20mA 9.5MW @ 15.8GeV, 50mA 3.0MW @ 10.5GeV, 50mA TOF range22.4ppm (5cm)38.0ppm (9cm) Drift space28.8cm45.0cm (and 6.0cm) Tune range0.035 – 0.3690.033 – 0.410 Orbit range (quads)12.6mm (r max = 9.1mm)21.6mm (r max = 15.8mm) Max |B| on orbit0.451 T0.416 T Max quad strength49.515 T/m29.256 T/m October 27, 2014Stephen Brooks, eRHIC FFAG meeting7

8 Comparison of Low-Energy Cells ParameterCurrent (Jan’14)Proposed (“Oct’14”) Energy range1.334 – 6.622 GeV Energy ratio4.96× Turns (1.322GeV linac)55 Synchrotron power0.26MW @ 50mA0.34MW @ 50mA TOF range54.7ppm (12cm)31.0ppm (7cm) Drift space28.8cm45.0cm Tune range0.036 – 0.4240.033 – 0.408 Orbit range (quads)31.3mm (r max = 23.6mm)16.9mm (r max = 11.1mm) Max |B| on orbit0.227 T0.266 T Max quad strength9.986 T/m25 T/m October 27, 2014Stephen Brooks, eRHIC FFAG meeting8

9 Jan’14 Orbits Exaggerated 100x October 27, 2014Stephen Brooks, eRHIC FFAG meeting9

10 Oct’14 Orbits Exaggerated 100x October 27, 2014Stephen Brooks, eRHIC FFAG meeting10

11 “Oct’14” High-E Exaggerated 100x October 27, 2014Stephen Brooks, eRHIC FFAG meeting11 BD Absolute Magnetic axis Relative QF +5.7mm -9.8mm +9.6mm -11.9mm -9.2mm -0.5mm +14.9mm +3.8mm +5.8mm -15.8mm

12 “Oct’14” Low-E Exaggerated 100x October 27, 2014Stephen Brooks, eRHIC FFAG meeting12 QFBD +6.0mm -11.0mm +3.1mm -9.9mm -0.3mm -10.7mm +6.3mm -8.0mm +11.1mm -1.9mm Absolute Magnetic axis Relative

13 “Oct’14” High-E Lattice Description ElementLength (m)Angle (mrad)Gradient (T/m)Offset (mm) Drift D1 (short)0.060 Drift D2 (long)0.450 QF2 (High-E)1.8090090095.517793-253.823824 BD2 (High-E)1.2719558333.87968729.256-9.221005 October 27, 2014Stephen Brooks, eRHIC FFAG meeting13 Cell: QF2,D1,BD2,D2 One FFAG2 cell has length 3.590965m – So FFAG1 has length 1.795482m for stacking

14 “Oct’14” Low-E Lattice Description ElementLength (m)Angle (mrad)Gradient (T/m)Offset (mm) All Drifts0.450 QF1 (Low-E)0.4705988702.469308-25-0.296296 BD1 (Low-E)0.4248835512.22943225-8.000000 October 27, 2014Stephen Brooks, eRHIC FFAG meeting14 Cell: QF1,D,BD1,D One FFAG2 cell has length 3.590965m – So FFAG1 has length 1.795482m for stacking

15 Jan’14 Tunes October 27, 2014Stephen Brooks, eRHIC FFAG meeting15

16 “Oct’14” Tunes October 27, 2014Stephen Brooks, eRHIC FFAG meeting16

17 Jan’14 Betas at Matching Plane October 27, 2014Stephen Brooks, eRHIC FFAG meeting17

18 “Oct’14” Betas at Matching Plane October 27, 2014Stephen Brooks, eRHIC FFAG meeting18 NB: matching plane is in a different place now

19 Jan’14 Time of Flight Variation October 27, 2014Stephen Brooks, eRHIC FFAG meeting19

20 “Oct’14” Time of Flight Variation October 27, 2014Stephen Brooks, eRHIC FFAG meeting20

21 “Oct’14” Time of Flight Variation October 27, 2014Stephen Brooks, eRHIC FFAG meeting21

22 Jan’14 SR Loss for Each Turn October 27, 2014Stephen Brooks, eRHIC FFAG meeting22

23 “Oct’14” SR Loss for Each Turn October 27, 2014Stephen Brooks, eRHIC FFAG meeting23 NB: current increased from 18 to 20mA for green bars

24 Magnet Requirements MagnetGradient (T/m)Beam centre max RGood field RLength QF1 (Low-E)-25.00010.7mm12mm0.470599m BD1 (Low-E)25.00011.1mm12mm0.424884m QF2 (High-E)-25.00015.8mm17mm1.809009m BD2 (High-E)29.25614.9mm16mm1.271956m October 27, 2014Stephen Brooks, eRHIC FFAG meeting24

25 What Has Not Been Done Arc-to-straight matching, bypasses – Work fine already for similar cells, just need to verify in both rings Next major work item for lattice is a “real” ring – Correct feasible tunnel positioning vs. hadron ring Details of crossing scheme affect FFAG geometry – Correct exact circumference Need splitter lattice in detail for path length October 27, 2014Stephen Brooks, eRHIC FFAG meeting25

26 Conclusion / Immediate Steps Can we agree on Oct’14 lattice cells now? – Or soon, if others (Francois, Scott, Dejan) want to track and verify it in other codes If so, I will upload the spec to the eRHIC wiki – There are multiple ways of expressing the FFAGs depending on the position of the reference line; could find a more MAD-friendly way of expressing the same cells October 27, 2014Stephen Brooks, eRHIC FFAG meeting26

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