1. http://www.astec.ac.uk/id_mag/ID-Mag_Helical.htm I.R. Bailey, J.B. Dainton, L.J. Jenner, L.I. Malysheva (University of Liverpool / Cockcroft Institute) D.P. Barber (DESY / Cockcroft Institute) G.A. Moortgat-Pick (IPPP, University of Durham / CERN / Cockcroft Institute) A. Birch, J.A. Clarke, O.B. Malyshev, D.J. Scott (CCLRC ASTeC Daresbury Laboratory / Cockcroft Institute) E. Baynham, T. Bradshaw, A. Brummit, S. Carr, Y. Ivanyushenkov, J. Rochford (CCLRC Rutherford Appleton Laboratory) P. Cooke (University of Liverpool) Helical Collaboration Ian Bailey University of Liverpool / Cockcroft Institute ILC Positron Source & Spin Tracking

2. EUROTeV: WP4 (polarised positron source) PTCD task I. Bailey, J. Dainton, L. Zang (Cockcroft Institute / University of Liverpool) D. Clarke, N. Krumpa, J. Strachan (CCLRC Daresbury Laboratory) C. Densham, M. Woodward, B. Smith, (CCLRC Rutherford Appleton Laboratory) J.L. Fernandez-Hernando, D.J. Scott (CCLRC ASTeC Daresbury Laboratory / Cockcroft Institute) P. Cooke, P. Sutcliffe (University of Liverpool) In collaboration with Jeff Gronberg, David Mayhall, Tom Piggott, Werner Stein (LLNL) Vinod Bharadwaj, John Sheppard (SLAC) Ian Bailey University of Liverpool / Cockcroft Institute ILC Positron Source & Spin Tracking

3. The ILC requires of order 10 14 positrons / s to meet its luminosity requirements. A factor ~60 greater than the conventional SLC positron source. Undulator based source lower stresses in the production target(s) and less activation of the target station(s). Collimating the circularly-polarised SR from the undulator leads to production of longitudinally-polarised positrons. Conversion Target (0.4X 0 Ti) Polarised Positrons ( 5 MeV) Helical Undulator ( 100 m) Photon Collimator Photons( 10 MeV ) Electrons (150 GeV) Undulator-Based Positron Source for ILC

4. Original baseline layout of ILC with undulator at 150GeV position in main linac. ILC Positron Source Layout

5. ILC Positron Source Beamlines 125 MeV e + 400 MeV e + Not to scale in any dimension! EUND - undulator TAPA - target station A TAPB - target station B

6. Baseline Positron Source R&D Area Systems Group R&D topics Undulator - CI Topic Leader: Jim Clarke Target station - CI Topic Leader: Ian Bailey / Tom Piggott OMD (capture optics) Target hall (eg layout, remote-handling) - CI Capture rf cavity Accelerator physics (eg production/ capture) - CI Topic Leader: Gudi Moortgat-Pick Polarisation (collimators, spin transport) - CI Collaborating Institutes DL RAL Cornell SLAC LLNL ANL DESY BINP CI - denotes a significant Cockcroft Institute contribution

7. Superconducting bifilar helix First (20 period) prototype Design field0.8 T Period14 mm Magnet bore4 mm Winding bore6 mm Winding section 4 4 mm 2 Overall current density1000 A/mm 2 Peak field1.8 T Cut-away showing winding geometry Parameters of first prototype Superconducting undulator prototypes for ILC Hall probe measurements of first prototype

8. Superconducting bifilar helix First (20 period) prototype Superconducting undulator prototypes for ILC Section of second prototype, showing NbTi wires in Al former.

9. IIIIIIIVV Former materialAl Iron Pitch, mm14 12 11.5 Groove shaperectangulartrapezoidal rectangular Winding bore, mm666.35 Vac bore, mm4444.5 (St Steel tube) 5.23* (Cu tube) Winding8-wire ribbon, 8 layers 9-wire ribbon, 8 layers 7-wire ribbon, 8 layers 7-wire ribbon, 8 layers 7-wire ribbon, 8 layers Sc wireCu:Sc 1.35:1 Cu:Sc 0.9:1 StatusCompleted and tested Completed, tested and sectioned Completed and tested Manufacture in progress Prototype Parameters All completed prototypes have reached design field Peak field specification of < +/- 1% demonstrated Demonstrated predicted enhancement of field by ~0.44T using iron former

10. ILC Undulator Simulations Energy spread increase in ILC electron beam due to resistive wall impedance in undulator vacuum vessel. Red is room temperature, blue is at 77K Simulations of photon desorption of absorbed gases from undulator beam pipe. Collimation required to maintain vacuum of 10 -8 Torr. Undulator simulations showing winding bore and period of device needed for ILC parameters.

11. ILC Undulator Simulations Energy spread increase in ILC electron beam due to resistive wall impedance in undulator vacuum vessel. Red is room temperature, blue is at 77K Simulations of photon desorption of absorbed gases from undulator beam pipe. Collimation required to maintain vacuum of 10 -8 Torr.

12. Simple simulation of 2 x 2m undulators per module RMS of Peak Field 5% (5 times worse than measured) 5% rms 2 Simple dipole steerers added to model The trajectory can be corrected to within a few microns over 4m It may be possible to operate without corrections No correction With correction Trajectory Modelling

13. Two sections of the undulator magnet He bath vesselThermal shield Turret region Cryostat wall – Thermal shield - He vessel - Magnet connection Long Prototype Long prototype (4m) now under detailed design and will be manufactured by Summer 07.

14. Future Undulator Activities Finalise design and construct long undulator prototype (4m) Prototype beam tests ERLP at Daresbury Laboratory 70 MeV electron beam visible light emitted Pre-production prototype Construct with UK industry Module alignment issues Module instrumentation Collimation Integrated vacuum system Extend simulations e.g. Geometric Wakefields

15. Capture Optics Positron beam pipe/ NC rf cavity Target wheel Vacuum feedthrough Motor Photon beam pipe Working in collaboration with SLAC and LLNL. Developing water-cooled rotating wheel design. 0.4 radiation length titanium alloy rim. Radius approximately 0.5 m. Rotates at approximately 2000 rpm. The CI plays a key role in the EUROTeV-funded task to carry out design studies of the conversion target and photon collimator for the polarised positron source. Target Systems LLNL - draft design

16. Target Wheel Design LLNL - draft design Iterative design evolution between LLNL and DL Constraints: Wheel rim speed fixed by thermal load and cooling rate Wheel diameter fixed by radiation damage and capture optics Materials fixed by thermal and mechanical properties and pair-production cross- section (Ti6%Al4%V) Wheel geometry constrained by eddy currents. DL - draft design

17. Approximately 10% of photon beam power is deposited in target wheel (30kW) LLNL - draft design Water fed into wheel via rotating water union on drive shaft. Power Deposition & Cooling

18. Eddy Current Simulations LLNL - preliminary Initial Maxwell 3D simulations by W. Stein and D. Mayhall at LLNL indicated: ~2MW eddy current power loss for 1m radius solid Ti disc in 6T field of AMD. <20kW power loss for current 1m radius Ti rim design. However - Simulations do not yet agree with SLAC rotating disc experiment. 8 diameter Cu disc rotating in field of permanent magnet. OPERA-3D simulations are starting at RAL.

19. Future Target Activities Prototyping centred at Daresbury Proposing 3 staged prototypes over 3 years (LC-ABD funding bid) Measure eddy current effects top priority major impact on design Test reliability of drive mechanism and vacuum seals. Test reliability of water-cooling system for required thermal load Develop engineering techniques for manufacture of water-cooling channels. Develop techniques for balancing wheel. CI staff to work on design, operation and data analysis. Timeline integrated with our international collaborators. Remote-handling design centred at RAL Essential that remote-handling design evolves in parallel with target design. Determines target hall layout and cost. Related CI activities Activation simulations (in collaboration with DESY and ANL) Positron production and capture simulations (see spin tracking activities) Photon collimator design and simulation (CI PhD student + ASTeC expertise).

20. Robust Spin Transport Developing reliable software tools that allow the machine to be optimised for spin polarisation as well as luminosity. Aiming to carry out full cradle-to-grave simulations. Currently carrying out simulations of depolarisation effects in damping rings, beam delivery system and during bunch- bunch interactions. Developing simulations of spin transport through the positron source. Will soon extend simulations to main linac, etc. Energy spectrum and circular polarisation of photons from helical undulator. Trajectories of electrons through helical undulator. Example of SLICKTRACK simulation showing depolariation of electrons in a ring. Collaborating with T. Hartin (Oxford) P. Bambade, C. Rimbault (LAL) J. Smith (Cornell) S. Riemann, A. Ushakov (DESY)

21. Both stochastic spin diffusion through photon emission and classical spin precession in inhomogeneous magnetic fields can lead to depolarisation. 1 mrad orbital deflection 30° spin precession at 250GeV. Largest depolarisation effects are expected at the Interaction Points. Depolarisation Processes Photon emission Spin precession

22. UndulatorCollimator / TargetCapture Optics Physics Process ElectrodynamicsStandard ModelT-BMT (spin spread) Packages SPECTRA, URGENT GEANT4, FLUKAASTRA Damping ringMain Linac / BDS Interaction Region Physics Process T-BMT (spin diffusion) T-BMTBunch-Bunch Packages SLICKTRACK, (Merlin) SLICKTRACK (Merlin) CAIN2.35 (Guinea-Pig) Packages in parentheses will be evaluated at a later date. e + source Software Tools

23. Positron Source Simulations Polarisation of photon beam Ongoing SPECTRA simulations (from SPRING-8) Benchmarked against URGENT Depolarisation of e - beam So far, review of analytical studies only eg Perevedentsev etal Spin behavior in Helical Undulator. (1992) Target spin transfer GEANT4 with polarised cross-sections provided by E166 experiment. Installed and commissioned at University of Liverpool. Capture Optics Adding Runge-Kutta and Boris-like T-BMT integration routine to ASTRA 10MeV photons

24. Bunch-Bunch Simulations Opposing bunches depolarise one another at the IP(s). Studies of different possible ILC beam parameters (see table on right). Much work ongoing into theoretical uncertainties. Large Y During Interaction Before Interaction After Interaction Spread in Polarisation Low Q Before Interaction During Interaction After Interaction

25. SLICKTRACK Simulations Damping Rings –OCS and TESLA lattices analysed for ILC DR group. –Depolarisation shown to be negligible. –Ongoing rolling study. Beam Delivery System –First (linear spin motion) simulations presented at EPAC 06 conference. –Ongoing rolling study.

26. MERLIN development as a cross-check of main results –Andy Wolski training CI RAs and PhD students Non-linear orbital maps interfaced to SLICKTRACK –Modelling sextupoles, octupoles, undulator, etc Integrated positron source simulations –Rolling study Beam-beam theoretical uncertainties –Incoherent pair production and EPA, T-BMT validity, etc… –Comparison with GUINEA-PIG Novel polarisation flipping in positron source –Flipping polarity of source without spin rotators (cost saving) Polarimetry and polarisation optimisation (University of Lancaster) –Developing techniques to optimise polarisation at the IP Optimising use of available computing resources at DL, Liverpool and on the GRID Future Spin Transport Activities

27. CI has leadership role in many areas of ILC positron source R&D Recent results presented at PAC 05, HEP 05, EPAC 06, ICHEP 06, SPIN 06, … Proposed new prototyping programme to be based at Daresbury –Addressing key issues for undulator + target Establishing base of spin tracking expertise at CI CI paradigm is working Summary and Outlook