1. High beta cavity simulations and RF measurements Alessandro D’Elia- Cockcroft Institute and University of Manchester 1

2. HIE-ISOLDE upgrading stages Stage 1 is shown at the top, while stage 2 can be split into two sub-stages depending on the physics priorities: the low energy cryomodules will allow the delivery of a beam with better emittance; the high energy cryomodule will enable the maximum energy to be reached M. Pasini, D. Voulot, M. A. Fraser, R. M. Jones, ”BEAM DYNAMICS STUDIES FOR THE SCREX- ISOLDE LINAC AT CERN”, Linac 2008, Victoria, Canada 3MeV/u*5.5MeV/u*10MeV/u* * A/q= 4.5 1.2MeV/u* 2

3. High beta cavity 3 784.5mm 300mm Beam Coupler and Pick up seats Resonator ( /4)

4. Tools “calibration” In order to get reliable cavity parameters values from simulations, a comparison between the results coming from HFSS and CST Microwave has been performed using Superfish as a benchmark 4

5. Superfish vs CST Microwave and HFSS 5

6. Frequency 6 HFSS Meshing (5  m) HFSS Meshing (20  m) CST Meshing

7. E field* 7 * All field values are normalized to give 1J stored energy in the cavity (CST Normalization)

8. H field* 8 * All field values are normalized to give 1J stored energy in the cavity (CST Normalization)

9. Comparison tables 9 SuperfishCSTHFSS ∆ CST-SF (%) ∆ HFSS-SF (%) Frequency (MHz) 101.674101.666101.674 H peak (kA/m) 16.71116.7616.7630.31.1 E peak (MV/m) 11.3811.511.611.9 Quality Factor ∆ (%) Superfish11795- CST118440.4 HFSS11746-0.4

10. “Real” structure 10

11. Remarks Never being confident to post-processing results!! Even if HFSS and CST results are consistent and very close to Superfish, when we start to complicate our structure (tuner plate, coupler and pick-up), the possibility of having a finer refinement on surface meshing gets HFSS results more reliable The above statement are not general!! 11

12. Cavity Parameters 12 ISOLDETRIUMF*SPIRAL 2** Frequency [MHz]101.28141.488  (%) 10.311.212 L norm (mm)301841 Epeak/Eacc5.44.9 Bpeak/Eacc [G/(MV/m)] 969990 Rsh/Q0 [  ] 554545518  =Rs∙Q0 [  ] 30.3425.637.5 * V. Zvyagintsev et al., “Development, Production And Tests Of Prototype Superconducting Cavities For The High Beta Section Of The Isac-ii Heavy Ion Accelerator At Triumf”, RuPAC 2008, Zvenigorod, Russia ** G. Devanz, “SPIRAL2 resonators” talk held at SRF05

13. Q0 values 13 ISOLDE (E acc =6MV/m) P cav (W) R s (n  )Q0=  /R s 53310 9 7466.6∙10 8 10654.6∙10 8 12793.9∙10 8 15983.1∙10 8 ** G. Olry et al., “Tests Results Of The Beta 0.12 Quarter Wave Resonators For The Spiral2 Superconducting Linac”, LINAC 2006, Knoxville, Tennessee USA * V. Zvyagintsev et al., “Development, Production And Tests Of Prototype Superconducting Cavities For The High Beta Section Of The Isac-ii Heavy Ion Accelerator At Triumf”, RuPAC 2008, Zvenigorod, Russia TRIUMF*: Q0=7∙10 8 with P cav =7W and E acc =8.5MV/m SPIRAL2**: Q0=10 9 with P cav =10W and E acc =6.5MV/m

14. Some word about the hot frequency The cold frequency has to be 101.28MHz In air:  -32kHz 101.248MHz In superconducting mode of operation (shortening of the length of the antenna,…):  -332kHz 100.916MHz Other contributions (chemistry,…): ???? ~ 100.900MHz skin depth variation:  -11kHz 100.905MHz 14

15. RF CouplerPick-up cavity tipgap Network Analyzer The Pick-up position is fixed (22mm inside the cavity) The RF coupler position is varying Cavity Prototype Measurements 15

16. Measurements on November 2008 Coupler length* (mm) Frequency (MHz)  QlQ0Qext 22101.387 33101.364 48.5101.364 53101.26 56.5101.232 64101.1471.11280059085322 68101.063 81100.765 87100.610 91100.430 * Pick up length=22mm ∆ coupler1=14kHz/mm ∆ coupler2=22kHz/mm ∆ coupler3(from 22 to 64)= 5.7kHz/mm 16

17. “positive” structure “negative” structure 17

18. Tipgap**** 75mmTipgap 90mm Short Coupler and pick-up*101.191 MHz101.410 MHz Long Coupler and pick-up**101.013 MHz101.233 MHz ∆ Coupler34.24kHz/mm***4.24kHz/mm Frequency without tuner plate * “Short” means coupler length=22mm and pick-up length=22mm ** “Long” means coupler length=64mm and pick-up length=22mm *** ∆ Coupler3 (measured)=5.7kHz/mm **** Remind: tipgap is the distance of the bottom plate from the central resonator 18

19. Study of RF tuning plate 19

20. Tuner position +5Tuner position -15 20

21. Simulation with tuner position +5, tipgap 70 100.684 MHz 1.220.000 Coupler length5mm Pick up length-1mm 21

22. Simulation with tuner position -15, tipgap 70 1.066.710 100.929 MHz Coupler length5mm Pick up length-1mm 22

23. Frequency with tuner plate Tipgap 70mmTipgap 90mm Tuner plate position +5mm100.684 MHz101.235 MHz ∆ Tipgap27.55kHz/mm Tuner plate position -15mm100.929 MHz101.339 MHz ∆ Tipgap20.5kHz/mm ∆ Tuner plate 12.25kHz/mm Total Coarse range=245kHz 5.2kHz/mm Pick up length=-1mm, coupler length=5mm Triumf tuner coarse range 32kHz 23

24. Measurements vs Simulations 25/03/2009 Tipgap 90 Without tuner plate Tipgap 75 Without tuner plate Tipgap 70 Without tuner plate SimulationMeasurements*SimulationMeasurements*SimulationMeasurements* Long coupler and pick-up 101.233 MHz (- 32kHz air) 101.201 MHz 101.246 MHz** (-77kHz Res) * 101.169 MHz 101.013 MHz (- 32kHz air) 100.981 MHz 101.000 MHz (-77kHz Res) * 100.923 MHz 100. 899 MHz (- 32kHz air) 100.867 MHz 100.916 MHz (-77kHz Res) * 100.839 MHz Short coupler and pick-up 101.410 MHz (- 32kHz air) 101.378 MHz 101.483 MHz (-77kHz Res) * 101.406 MHz 101.191 MHz (- 32kHz air) 100.159 MHz 101.240 MHz (-77kHz Res) * 101.163 MHz 101.083 MHz (- 32kHz air) 101.051 MHz 101.150 MHz (-77kHz Res) * 101.073 MHz * Resonator longer of 0.4mm with respect to the nominal length (  135kHz/mm) ** These new measurements have been done in a much noisy environment that explain the  13kHz of difference with respect to the previous ones 24

25. Expected final hot frequency Measured frequency 101.150 MHz ∆ plate-tuner (pos-15) - 130 kHz ∆ tuner central position (-5) - 122.5 kHz Expected frequency= 100.897 MHz (goal f~100.900 MHz) 25

26. External Q Let us assume Q 0 =5x10 8 and a condition of perfect coupling (  c =1) Therefore we want Qext of RF coupler of  2.5x10 6 in order to be undercoupled (  c =200 ∆ f  40Hz) (larger bandwidth) Qext Pick-up of  10 10 in order to be overcoupled (negligible power flowing from the pick-up) 26 Q load =2.5x10 8

27. Q measurements Hot measurements are important to test and calibrate the coupler and pick-up before going to cryostate Very difficult to get reliable measurements allowing for such a high Qext values Cold measurements are needed for the final characterization It is not possible going through standard frequency domain measurements as Two different strategies for hot and cold measurements 27

28. β measurements 28 RF Coupler Pick-up Network Analyzer Pc Pf Pe Pr Pin Pin = Pf-Pr = Pc+Pe Dividing everything by P e and rearraging, by considering that Note: the system is symmetric so that I can feed from the pick-up and meauring  c

29. Q ext hot measurements 1)Measuring SWR from S11 2)Measuring S21  pu 3)Measuring Q load 4)Evaluating Q ext 29 cc S21  pu Q load Q0Q0 Q pu QcQc 1.019--563611380-11168 1.732.21∙10 -1 0.0557093902108701.95∙10 5 6283 1.841.67∙10 -2 0.0003063944.5112043.66∙10 7 6089 1.843.52∙10 -5 1.36∙10 -9 3944.5112028.24∙10 12 6088 1.01571.75∙10 -2 0.0003075643113763.70∙10 7 11200 0.95742.31∙10 -1 0.0564955504110851.96∙10 5 11578 Legend W/o pick-up L pu_in =22mm L pu_in =-1mm Max Error= 3.6%

30. Q cold measurements as Q0  10 9 ∆f  0.1Hz By feeding the cavity by a rectangular pulse Knowing  c, we get Q0 By switching off I can measure cc 30 We can use for  c value the one we got from the hot measurements or we can feed the cavity by a rectangular pulse, in the steady-state

31. Coupler 31 -10mm  L insertion  60mm 5∙10 9 < Q ext < 7500 Macor Dust free sliding mechanism

32. Coupler 32

33. Internal Reflections

34. Conclusions E-m design of the high beta cavity is finished The machining of the copper part is finished Measurements show a very good agreement with simulations First prototype of the tuner already available, sputtering on the end of June Mechanical design and fabrication of the coupler is started, deliviring date, end of July Starting the design of the low beta cavities 34