Impedance and HOM Heating in IR Region of MDI for CEPC

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This study explores impedance and Higher Order Mode (HOM) heating in the Infrared (IR) region of MDI for the Circular Electron Positron Collider (CEPC). It discusses beam parameters, structure, layout of the vacuum chamber, and power deposition for different IR pipe models in detail. Additionally, it provides insights into CEPC's CDR parameters such as energy, circumference, synchrotron radiation loss, beam current, luminosity, and more for both Z(2T) and high luminosity setups. The information presented is crucial for understanding the operational aspects and performance characteristics of the CEPC.

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  1. Impedance and HOM Heating in IR region of MDI for CEPC Impedance and HOM Heating in IR region of MDI for CEPC Liu Yu dong, Wang Na, Wang Hai Jing, Bai Sha, Wang Dou

  2. outline outline Beam parameters in CDR and high luminosity Z (2T) for CEPC Structure and Layout of the vacuum chamber in IR Impedance results and power deposition for different IR pipe model Summary

  3. CEPC CDR Parameters Higgs W Z 3T Z 2T Number of IPs Beam energy (GeV) Circumference (km) Synchrotron radiation loss/turn (GeV) Crossing angle at IP (mrad) Piwinski angle Number of particles/bunch Ne(1010) Bunch number (bunch spacing) Beam current (mA) Synchrotron radiation power /beam (MW) Bending radius (km) Momentum compact (10-5) function at IP x* / y* (m) Emittance x/ y(nm) Beam size at IP x/ y( m) Beam-beam parameters x/ y RF voltage VRF(GV) RF frequency fRF(MHz) (harmonic) Natural bunch length z(mm) Bunch length z(mm) HOM power/cavity (2 cell) (kw) Energy spread (%) Energy acceptance requirement (%) Energy acceptance by RF (%) Photon number due to beamstrahlung Beamstruhlung lifetime /quantum lifetime* (min) Lifetime (hour) F (hour glass) Luminosity/IPL (1034cm-2s-1) 2 120 80 45.5 100 1.73 0.34 0.036 16.5 2 3.48 15.0 7.0 12.0 23.8 8.0 242 (0.68 s) 17.4 30 1524 (0.21 s) 87.9 30 12000 (25ns+10%gap) 461.0 16.5 10.7 1.11 0.36/0.0015 1.21/0.0024 20.9/0.06 0.018/0.109 2.17 0.36/0.0015 0.54/0.0016 13.9/0.049 0.013/0.123 0.47 0.2/0.0015 0.18/0.004 6.0/0.078 0.004/0.06 0.2/0.001 0.18/0.0016 6.0/0.04 0.004/0.079 0.10 650 (216816) 2.98 5.9 0.75 0.098 0.90 1.47 0.050 >400 2.72 4.4 0.46 0.134 1.35 2.06 0.082 80/80 2.42 8.5 1.94 0.080 0.49 1.7 0.023 2.5 0.43 0.89 2.93 1.4 0.94 10.1 4.6 0.99 16.6 32.1

  4. CEPC high luminosity Z (2T) CEPC-CDR CEPC-30MW CEPC-39MW Number of IPs Energy (GeV) Circumference (km) SR loss/turn (GeV) Half crossing angle (mrad) Piwinski angle Ne/bunch (1010) Bunch number Beam current (mA) SR power /beam (MW) Bending radius (km) Momentum compaction (10-5) IPx/y (m) Emittance x/y (nm) Transverse IP(um) x/ y/IP VRF(GV) fRF(MHz) (harmonic) Nature bunch length z(mm) Bunch length z(mm) HOM power/cavity (kw) Energy spread (%) Energy acceptance (DA) (%) Energy acceptance by RF (%) Lifetime (hour) Lmax/IP(1034cm-2s-1) 2 2 2 45.5 100 0.036 16.5 23.8 8.0 12000 461 16.5 10.7 1.11 0.2/0.001 0.18/0.0016 6.0/0.04 0.004/0.079 0.1 650 2.42 8.5 1.94 (2cell) 0.08 1.5 1.7 2.5 32.1 45.5 100 0.036 16.5 27.9 12.0 45.5 100 0.036 16.5 33.0 15.0 15000 1081.4 38.6 10.7 1.11 0.2/0.001 0.18/0.0016 6.0/0.04 0.004/0.098 0.10 650 2.42 11.8 3.15 (1cell) 0.115 0.7 1.7 1.8 101.6 14564 (20.6ns+10%gap) 839.9 30 10.7 1.11 0.2/0.001 0.18/0.0016 6.0/0.04 0.004/0.093 0.10 650 2.42 10.0 2.29 (1cell) 0.1 0.6 1.7 2.0 74.5

  5. Structure and Layout of IR pipe Be pipe Al: Transition pipe Total length:2220mm Cu: Y-shape crotch SQ Pipe Cu: 360mm Al: 625mm Be: 250mm

  6. Model 0 Cut off Frequency of SCQ Pipe( 28mm): 8.195 GHz 5.6632 GHz Cut off Frequency of Be pipe ( 28mm): 8.195 GHz z=5mm: Two beam in the IR Loss factor Trap in IR@k_trap:0.0504 v/pc Ptrap: H/W/Z: 42.0w/170.4w/595.2w Pprop: H/W/Z: 26.8w/108.6w/379.4w

  7. Model 1 7.763GHz Cut off Frequency of SCQ Pipe( 20mm): 11.474 GHz Cut off Frequency of Be pipe ( 28mm): 8.195 GHz z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0.0148v/pc Ptrap: H/W/Z: 12.3w/49.8w/174.2w Pprop: H/W/Z: 10.2w/41.6w/145.5w

  8. Model 2 Cut off Frequency of SCQ Pipe( 20mm): 11.474 GHz 7.853GHz Cut off Frequency of Be pipe ( 28mm): 8.195 GHz z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0.018v/pc Ptrap: H/W/Z: 15.0w/60.7w/212.3w Pprop: H/W/Z: 7.1w/28.9w/101.2w

  9. Model 3 Cut off Frequency of SCQ Pipe( 20mm): 11.474 GHz 7.847GHz Cut off Frequency of Be pipe ( 28mm): 8.195 GHz z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0.017v/pc Ptrap: H/W/Z: 14.2w/57.5w/201.1w Pprop: H/W/Z: 6.2w/25w/87.3w

  10. Model 4 Cut off Frequency of SCQ Pipe( 20mm): 11.474 GHz 7.851GHz Cut off Frequency of Be pipe ( 20mm): 11.474 GHz z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0.0174v/pc Ptrap: H/W/Z: 14.5w/58.9w/205.9w Pprop: H/W/Z: 5.19w/21.0w/73.4w

  11. Model 5 Cut off Frequency of SCQ Pipe( 11.160m): 20.5GHz Impedance from this big cavity All mode traped in the IR pipe z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 2.703v/pc Ptrap: H/W/Z: 2.2kw/9.1kw/31.9kw

  12. Summary on HOM heating Power for IR CDR beam parameters IR Model H W Z Model 0 (28mm-28mm) Ptrap: 42w Ppro: 26.8w Ptrap: 170.4w Ppro: 108.6w Ptrap: 595.2w Ppro:379.4w Ptotal: 68.8w Ptotal: 279w Ptotal: 974.6w Model 1 (28mm-20mm) Ptrap:12.3w Ppro:10.2w Ptrap:49.8w Ppro:41.6w Ptrap:174.2w Ppro:145.5w Ptotal: 22.5w Ptotal: 91.4w Ptotal: 319.7w Model 2 (28mm-20mm) Ptrap:15w Ppro:7.1w Ptrap:60.7w Ppro:28.9w Ptrap:212.3w Ppro:101.2w Ptotal: 22.1w Ptotal: 89.6w Ptotal: 313.5w Model 3 (28mm-20mm) Ptrap:14.2w Ppro:6.2w Ptrap:57.5w Ppro:25w Ptrap:201.1w Ppro:87.3w Ptotal: 20.4w Ptotal: 82.5 w Ptotal: 288.4w Model 4 (20mm-20mm) Ptrap:14.5w Ppro:5.2w Ptrap:58.9w Ppro:21.0w Ptrap:205.9w Ppro:73.4w Ptotal: 19.7w Ptotal: 79.9w Ptotal: 279.3w Model 5 (28mm-11mm) Ptrap:2.2kw Ppro:- Ptrap:9.1kw Ppro:- Ptrap:31.9kw Ppro:- Ptotal:2.2kw Ptotal:9.1kw Ptotal:31.9kw

  13. Model 3: Power deposition in different region of IR (Z &CDR parameters & z@5mm&material@PEC) Source of the heating: Total length:2220mm (1) Ohmic loss (2)Power trapped in IR pipe (f< 11.474GHz) Cu: 360mm Al: 625mm Be: 250mm (3)HOM from other part of the ring Be pipe: 2*7.08+2*5.45+2*12.84=50.74W Al: Transition pipe: 2*31.3+2*58.76+2*64.2=308.52w Cu: Y-shape crotch: 2*10.69+2*36.33+2*36.97=167.98w Total power on IR pipe: 527.24w

  14. Model 3: Power deposition in different region of IR (Z &CDR parameters & z@5mm&material@Lossy mental) z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0.0309v/pc Ptrap: H/W/Z: 25.7w/104.4w/364.7w Source of the heating: (1)Power trapped in IR pipe (f< 11.474GHz) (2)HOM from other part of the ring Be pipe: 2*8.78+2*12.84=43.24W Al: Transition pipe: 2*106.9+2*64.2=342.2w Total power on IR pipe: 592.94w Cu: Y-shape crotch: 2*66.58+2*36.97=207.1w

  15. Model 3: Power deposition in different region of IR ( Z &High Luminosity & z@6.2mm&material@PEC) z=6.2mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0.0114v/pc Ptrap: H/W/Z: 9.5w/38.5w/592.6w (1) Ohmic loss (2)Power trapped in IR pipe (f< 11.474GHz) Source of the heating: (3)HOM from other part of the ring Be pipe: 2*21.83+2*14.7+2*49.41=171.88W Al: Transition pipe: 2*96.48+2*173.7+2*247.0=1034.36w Cu: Y-shape crotch: 2*32.96+2*107.9+2*142.3=566.32w Total power on IR pipe: 1772.56w

  16. Model 3: Power deposition in different region of IR ( Z &High Luminosity & z@6.2mm&material@lossy mental) z=6.2mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0.0196/v/pc Ptrap: H/W/Z: 16.38w/66.4w/1021.2w Source of the heating: (1)Power trapped in IR pipe (f< 11.474GHz) (2)HOM from other part of the ring Be pipe: 2*19.04+2*49.41=136.9W Al: Transition pipe: 2*301.61+2*247.0=1097.22w Total power on IR pipe: 1898.6w Cu: Y-shape crotch: 2*189.94+2*142.3=664.48w

  17. Summary For Model 3 (with Be pipe aperture 28mm, quadrupole aperture 20mm), the structure is feasible for beam parameters in CDR. Total length:2220mm Maximum Power deposition in IR different region: Be: 136.9w Cu: 332w Al: 548w Maximum Power CDR beam parameters HOM power density w/cm2 High Luminosity beam parameters HOM power density w/cm2 Be pipe (w) 50 0.227 136.9 0.622 Al: Transition pipe (w) 342 0.316 1097 1.012 Cu: Y-shape crotch (w) 207 0.158 664 0.507 Total power in IR pipe (w) 592 0.234 1898 0.714 Thanks for your attention!

  18. IR aperture and structure Be pipe: 28mm SCQ Pipe:20mm 1 The structure is updated in 16 June from Wang Haijing 2 The structure is updated in 7 July from Wang Haijing

  19. IR aperture and structure Be pipe: 28mm SCQ Pipe:20mm ver20200116 d28-d40-d20 mm 28 28 28 40 40 IP 1-120 120-205 Be Al 205-655 Al taper1:75 655-750 Al 750-830 40 Cu 40 20- 50.7 40- 50.7 40-20 20 taper1:18. 7 taper1:10 830-930 Cu Be: 28mm Al: 28mm-> 40mm Cu: 20mm taper1:9.3 930-980 Cu BPM 980-1110 20 Cu

  20. Cut off Frequency of SCQ Pipe(20mm): 11.474GHz Cut off Frequency of Be pipe ( 28mm): 8.195 GHz CDR beam parameters: z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0.0272v/pc Ptrap: H/W/Z: 22.7w/92.0w/321.4w Pprop: H/W/Z: 15.2w/61.9w/216.3w Source of the heating(for CDR beam parameters): Higgs Z (1)Power trapped in IR pipe (f< 11.474GHz) Be pipe: 2*0.53+2*0.8=2.66W Be pipe: 2*7.53+2*12.84=40.74W (2)HOM from other part of the ring Al: 2*6.66+2*4.0=21.32w Al: 2*94.4+2*64.2=317.2w Cu: 2*4.15+2*2.3=12.9w Cu: 2*58.8+2*36.97=191.5w Total power on IR pipe (Higgs&Z): 36.88w 549.5w

  21. Power deposition with High Luminosity Z Be pipe: 2*18.76+2*49.41=68.2W Total power on IR pipe (Z): 1796.7w Al: 2*291.54+2*247.0=1077.1w Cu: 2*183.4+2*142.3=651.4w Summary on power deposition in IR pipe Maximum Power CDR beam parameters (Higgs model) CDR beam parameters (Z model) CDR beam parameters (High Luminosity Z) Be pipe (w) 2.66 40.74 68.2 Al: Transition pipe (w) 21.32 317.2 1077.1 Cu: Y-shape crotch (w) 12.9 191.5 651.4 Total power(w) 36.88 549.5 1796.7

  22. ver20200703 d28-d40-d20 855860 750 mm 28 28 28 40 40 IP 1-120 120-205 Be Al 205-655 Al taper1:75 655-750 Al 750-830 40 Cu 40 12- 40.2 40- 10.2 40-12 830-855 Cu 855-860 Cu 12 20 860-1110 Cu

  23. Cut off Frequency of SCQ Pipe(20mm): 11.474GHz Cut off Frequency of Be pipe ( 28mm): 8.195 GHz CDR beam parameters: z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0. 15v/pc Ptrap: H/W/Z: 124w/504w/1760w Pprop: H/W/Z: 129w/523w/1829w Source of the heating(for CDR beam parameters): Higgs Z (1)Power trapped in IR pipe (f< 11.474GHz) Be pipe: 2*4.83+2*0.8=11.26W Be pipe: 2*68.5+2*12.84=162.8W (2)HOM from other part of the ring Al: 2*35.8+2*4.0=79.8w Al: 2*507.8+2*64.2=1144w Cu: 2*21.5+2*2.3=47.8w Cu: 2*305.5+2*36.97=684.9w Total power on IR pipe (Higgs&Z): 138.86w 1991.7w

  24. Power deposition with High Luminosity Z Be pipe: 2*155.3+2*49.41=409W Total power on IR pipe (Z): 5.67kw Al: 2*1380+2*247.0=3.3kw Cu: 2*840+2*142.3=1.96kw

  25. ver20200703 d28-d40-d20 825860 720 Aperture taper mm 28 28 28 40 40 IP 1-120 120-205 Be Al 205-655 Al taper1:75 655-720 Al 720-800 40 Cu 40 28.3- 40 40- 40 40- 28.3 800-825 Cu 825-860 Cu 12 20 860-1110 Cu

  26. Cut off Frequency of SCQ Pipe(20mm): 11.474GHz Cut off Frequency of Be pipe ( 28mm): 8.195 GHz CDR beam parameters: z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0. 096v/pc Ptrap: H/W/Z: 79.8w/323.5w/1130w Pprop: H/W/Z: 55.6w/225.6w/788w Source of the heating(for CDR beam parameters): Z Higgs (1)Power trapped in IR pipe (f< 11.474GHz) Be pipe: 2*52.2+2*12.84=130.1W Be pipe: 2*3.68+2*0.8=8.96W (2)HOM from other part of the ring Al: 2*307.7+2*64.2=743.8w Al: 2*21.7+2*4.0=51.5w Cu: 2*205+2*36.97=483.94w Cu: 2*14.5+2*2.3=33.6w Total power on IR pipe (Higgs&Z): 94.1w 1357.8w

  27. Power deposition with High Luminosity Z Be pipe: 2*127.4+2*49.41=353.6W Al: 2*668.5+2*247.0=1831w Total power on IR pipe (Z): 3.345kw Cu: 2*437.9+2*142.3=1160.4w Maximum Power CDR beam parameters (Higgs model) CDR beam parameters (Z model) CDR beam parameters (High Luminosity Z) 8.96w (0.04w/cm2) 130.1 (0.6w/cm2) 353.6W (1.68w/cm2) Be pipe (w) 51.5w (0.08w/cm2) 743.8 (1.17w/cm2) 1831w (2.87w/cm2) Al: Transition pipe (w) 33.6w (0.065w/cm2) 483.94 (0.93w/cm2) 1160.4w (2.23w/cm2) Cu: Y-shape crotch (w) 94.1 (0.06w/cm2) 1357.8 (0.9w/cm2) 3345w (2.26w/cm2) Total power(w)

  28. ver20200715 d28-d40-d20 805855 700 mm 28 28 28 40 40 IP 1-120 120-205 Be Al 205-655 Al taper1:75 655-700 Al 700-780 40 Cu 40 30.7- 40 40- 40 40- 30.7 780-805 Cu 805-855 Cu 12 20 855-1110 Cu

  29. Cut off Frequency of SCQ Pipe(20mm): 11.474GHz Cut off Frequency of Be pipe ( 28mm): 8.195 GHz CDR beam parameters: z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0. 127v/pc Ptrap: H/W/Z: 106w/432w/1508w Pprop: H/W/Z: 43.1w/174.8w/610.5w Source of the heating(for CDR beam parameters): Higgs Z (1)Power trapped in IR pipe (f< 11.474GHz) Be pipe: 2*2.2+2*0.8=6W Be pipe: 2*31.1+2*12.84=87.9W (2)HOM from other part of the ring Al: 2*28.6+2*4.2=65.5w Al: 2*405.5+2*66.8=943.6w Cu: 2*32.9+2*2.2=70.2w Cu: 2*317.6+2*35.2=705.6w Total power on IR pipe (Higgs&Z): 141.7w 1737.1.8w

  30. Power deposition with High Luminosity Z Be pipe: 2*156.9+2*49.41=412.6W Total power on IR pipe (Z): 5.76kw Al: 2*1275+2*257.3=3064w Cu: 2*1009+2*135.4=2288w Maximum Power CDR beam parameters (Higgs model) CDR beam parameters (Z model) CDR beam parameters (High Luminosity Z) 6w (0.027w/cm2) 87.9 (0.41w/cm2) 412.6w (1.96w/cm2) Be pipe (w) 65.5w (0.1w/cm2) 943.6 (1.48w/cm2) 3064w (4.8w/cm2) Al: Transition pipe (w) 70.2w (0.135w/cm2) 705.6 (1.36w/cm2) 2288w(4.4w/cm2) Cu: Y-shape crotch (w) 141.7 (0.087w/cm2) 1737.1.8 (1.08w/cm2) 5764.7w (2.26w/cm2) Total power(w)

  31. ver2.2 20200831 d28-d40-d20700- mm 28 28 28 40 40 IP 1-120 120-205 Be Al 205-655 Al taper1:75 655-700 Al 700-780 40 Cu 40 30.7- 40 40- 40 40- 30.7 12 20 12 20 20 780-805 Cu 12mm 805-855 Cu 855-1110 Cu 20mm

  32. Cut off Frequency of SCQ Pipe(20mm): 11.474GHz Cut off Frequency of Be pipe ( 28mm): 8.195 GHz CDR beam parameters: z=5mm: Two beam in the IR Loss factor Trap in IR @k_trap: 0. 085v/pc Ptrap: H/W/Z: 71w/288w/1007kw Pprop: H/W/Z: 65w/264w/923w Source of the heating(for CDR beam parameters): Higgs Z (1)Power trapped in IR pipe (f< 11.474GHz) Be pipe: 2*5.8+2*0.8=13.2W Be pipe: 2*83+2*12.84=95.84W (2)HOM from other part of the ring Al: 2*18+2*4.2=44.4w Al: 2*256+2*66.8=645.6w Cu: 2*11+2*2.2=26.4w Cu: 2*163+2*35.2=396.4w Total power on IR pipe (Higgs&Z): 84w 1137.8w

  33. Power deposition with High Luminosity Z Be pipe: 2*366.2+2*49.41=831.2W Total power on IR pipe (Z): 5.31kw Al: 2*1129+2*257.3=2772.6w Cu: 2*720.5+2*135.4=1711.7w

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