1. March 23, 2010 CMAD a tracking and e-cloud beam instability parallel code (M.Pivi SLAC) Taking MAD(X) optics file at input, thus tracking the beam in a real lattice and applying the interaction beam-electron cloud over the whole ring Assumed cloud in magnetic fields and solenoids (no cloud) in drift regions Finding: lower density thresholds for the 6km ring ILC DR instability simulations DC04 lattice: 6.4 km ring DSB3 lattice: 3.2 km ring M. Pivi, SLAC 2.5e11 2.2e11 2.0e11 1.7e11 4.4e11 3.9e11 3.5e11 Beam losses

2. March 23, 2010 Tune shift in the 6km DR - DCO4 CMAD Plot the power spectrum of the beam centroid recorded at BPM location ILC DR instability simulations M. Pivi, SLAC

3. March 23, 2010 Incoherent tune shift in DCO4 DR No cloud in DCO4 ringwith cloud avg 1.2e10 e/m 3 with cloud avg 1.2e11 e/m 3 (below instability) All combined CMAD Plotting the tunes of selected particles in the beam M. Pivi, SLAC

4. March 23, 2010 Comparing cloud density instability threshold with cloud density from build-up To compare with beam instability type of simulations, from the build-up simulations we extracted the cloud density defined as: density at equilibrium after electron cloud build-up density NEAR THE BEAM (10  x, 10  y) density JUST BEFORE electron cloud pinching (head of bunch) The three conditions above satisfied at once. Next showing latest build-up simulations used for the comparison process

5. M. Furman, p. 5ILCDR ecloud mtg., 10 Mar. 2010 Bending magnet build-up space-averaged ecloud density DC04, w antch. DC04, w/o antch. DSB3, w/o antch. DSB3, w antch.

6. M. Furman, p. 6ILCDR ecloud mtg., 10 Mar. 2010 n e at bunch front within 10 beam  ’s (*) units: 10 12 m –3 DC04DSB3 field-freebendfield-freebend  max antch.no antchantch.no antchantch.no antchantch.no antch 00.0241.20.0231.00.0341.70.0311.3 0.90.0442.30.0381.60.0633.20.0632.4 1.00.0502.60.0421.80.0703.60.0732.6 1.10.0573.00.0481.90.0814.00.0862.9 1.20.0663.40.0562.20.944.50.103.4 1.30.0803.90.0792.60.115.0>0.23.9 1.40.104.5>0.33.10.145.6>0.34.6 (*) Note: these simulated data have large errors (~30-40%) due to statistical noise. Within these errors, there is no difference between the time-averaged density and the instantaneous density at the last bunch in the train

7. 7 e- cloud “distribution” - 6km ring Snapshot of the cloud distribution in dipole “just before” the passage of the last bunch for: R=25%,  =90% SEY=1.4 SEY=0.9 SEY=1.2 Theo Demma, LNF

8. 8 e-cloud density at bunch front within 10 beam  ’s (*) DC04DSB3 WigglerBendwigglerbend  max antch.no antch antch.no antch antch.no antch antch.no antch 0.90.184.10.0120.390.306.10.020.66 1.00.254.90.0160.520.427.40.0280.88 1.10.336.30.0180.590.559.50.031.00 1.20.417.20.0230.760.6511.20.0391.29 1.3>2.1>12.30.24.2>3.2>20.30.346.14 1.4>3.7>20.50.47.6>7.0>31.70.689.52 units: 10 12 m –3 (*) Note: these simulated data have large errors (~30-40%) due to statistical noise. Within these errors, there is no difference between the time-averaged density and the instantaneous density at the last bunch in the train Theo Demma, INFN

9. Jim Crittenden and Kiran Sonnad, Cornell U.

10. Ecloud in quadrupoles & sextupoles: parameters  Field: 7.5T/m  Length:0.3m  Pipe radius: 25mm  SEY: 0.9~1.4  Beam Size: (270,5)  m  Field: 12T/m  Length:0.3m  Pipe radius: 25mm  SEY: 0.9~1.4  Beam Size: (360,6)  m 3.2km DR 6.4km DR Lanfa Wang, SLAC March 23, 2010

11. SEY effect (3km Ring) Quadrupole: Photon Reflectivity =20% Antechamber protection =0 Average density build-upCentral density build-up Lanfa Wang, SLAC

12. SEY effect (3km Ring) Sextupole: Photon Reflectivity =20% Antechamber protection =0 Average density build-upCentral density build-up

13. Sextupole : Photon Reflectivity =20% Antechamber protection =90 Ecloud density near the beam Average Ecloud density

14. March 23, 2010 Photoelectrons production For these set of simulations: Analytic estimates for the synchrotron radiation with antechamber (see O. Malyshev and T. Demma presentations) Including next: synchrotron radiation simulations with antechamber, photon reflectivity, photoelectric yield, etc.  Synrad3D

15. M. Furman, p. 15ILCDR ecloud mtg., 10 Mar. 2010 Simulation input parameters for all cases (mostly from M. Pivi, 17 Nov. 2009 et. seq.) Beam energyE b =5 GeV Bunch populationN b =2x10 10 RMS bunch length  z =5 mm Bunch train45 bunches (spacing t b = 6.154 ns = 4 buckets) Gap length between trains15x4=60 buckets Fill pattern simulated5 x (train+gap) Chamber radiusa=2.5 cm Antechamber full height (if present)h=1 cm Antechamber clearing efficiency  =98% Quantum efficiency of chamber surfaceQE=0.1 Radiation vertical spot size at wall  y =1 mm Photon reflectivityR=0.9 (*) Peak SEY values explored  max =0, 0.9, 1.0, 1.1, 1.2, 1.3,1.4 Electron energy at  max E max =296 eV SEY at E=0  (0)=0.31x  max (*) This means that 10% of the photoelectrons are generated localized at the right “edge” of the chamber, whether or not there is an antechamber (probably not realistic, but probably not very important for high values of R)

16. 16 Beam energy E b [GeV]5 Bunch population NbNb 2.1x10 10 Number of bunchesNbNb 45 x 8 trains Bunch gapNgap15 Bunch spacingL sep [m]1.8 Photoelectron YieldY0.1 RMS bunch length zz 5 Antechamber full heighth[mm]10 Antechamber protection  0%;97% Fraction of uniformely dist photelectronsR20% Max. Secondary Emission Yeldδ max 0.9;1.0;1.1;1.2;1.3;1.4 Energy at Max. SEYΕ m [eV]300 SEY model Cimino-Collins (  (0)=0.5) *https://wiki.lepp.cornell.edu/ilc/pub/Public/DampingRings/WebHome/DampingRingsFillPatterns.xls Build Up Parameters for DC04 & DSB3 Theo Demma, INFN

17. Build Up Input Parameters for CLOUDLAND Bunch population NbNb 2.1x10 10 Number of bunches NbNb 45 x 6 trains Bunch gap Ngap 15 bunches (60 buckets) Bunch spacing L sep [m] 1.8 Bunch length σ z [mm] 6 Bunch horizontal size σ x [mm] 0.26 Bunch vertical size σ y [mm] 0.006 Photoelectron Yield Y 0.1 Photon rate (e - /e + /m) dn  /ds 0. 33 Antechamber protection  0%, 90% Photon Reflectivity R 20% Max. Secondary Emission Yeld δ max 1.2 Energy at Max. SEY Ε m [eV] 300 SEY model Cimino-Collins (  (0)=0.5) ilc-DR 6.4 Km, 6 ns bunch spacing*. *https://wiki.lepp.cornell.edu/ilc/pub/Public/DampingRings/WebHome/DampingRingsFillPatterns.xlshttps://wiki.lepp.cornell.edu/ilc/pub/Public/DampingRings/WebHome/DampingRingsFillPatterns.xls

18. March 23, 2010 Compare thresholds for 6 km and 3km DR antechamber SEY 1.2 SEY 1.4 antechamber Compiled data from build-up simulations and compare against and beam instability thresholds. Showing the overall ring average cloud density for the 6 km and 3km rings

19. March 23, 2010 Compare thresholds for 6 km and 3km DR Compiled data from build-up simulations and compare against and beam instability thresholds. Showing the overall ring average cloud density for the 6 km and 3km rings SEY 0.9 & 1.1: still missing quadrupole data SEY 0.9 SEY 1.1 SEY 1.2 SEY 1.4

20. March 23, 2010 Base for Recommendation and Risk Assessment Given the same current and bunch distance we expect similar or even higher instability threshold for the shorter ring Need for antechamber designs either in 6km and 3km DR With an antechamber design and train gaps, a SEY 1.1-1.2 offer sufficient margin against beam instability. Need to factor in parameters variation and statistical errors. SEY threshold might be lower due to bunch offset Incoherent emittance growth below threshold may lower acceptable SEY

21. March 23, 2010 Base for Recommendation and Risk Assessment Thus, with respect to the RDR baseline, the risk level to adopt a reduced 3km Damping Ring while maintaining the same bunch spacing is: Low. Reducing the positron ring circumference to 3-km may risk losing the back up option of 12 ns bunch spacing (safer e- cloud regime) and will reduce the luminosity margins. In the event that effective EC mitigations cannot be devised in a 3km damping ring, an option of last resort would be to add a second positron damping ring

22. March 23, 2010 Statistical errors and parameters variation Errors in the cloud density near beam 30-40% due to statistical noise Lower cloud density when reflectivity R=0.2 instead of R=0.9 Factor ~4-5 increase in cloud density if antechamber protection is  =90% (instead of  =98%). What is our level of confidence on  =98%? These may set a lower threshold for the acceptable SEY Will be refined by SR simulations

23. March 23, 2010 Main Deliverables Recommendation for the reduction of the ILC Positron Damping Ring Circumference Recommendation for the baseline and alternate solutions for the electron cloud mitigation in various regions of the ILC Positron Damping Ring. By March 2010 By Late 2010

24. March 23, 2010 Link to all WG presentations here