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Dejan Trbojevic

Electron Acceleration in RLA in e-RHIC using non-scaling FFAG’s. Dejan Trbojevic. Non-scaling FFAG for eRHIC (future electron Relativistic Ion Collider). Requirements for the eRHIC:

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Dejan Trbojevic

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  1. Electron Acceleration in RLA in e-RHIC using non-scaling FFAG’s Dejan Trbojevic Dejan Trbojevic FFAG08, September 02, 17:00

  2. Non-scaling FFAG for eRHIC(future electron Relativistic Ion Collider) • Requirements for the eRHIC: • Construct of an arc of the non-scaling FFAG to accept 2.4-10 GeV electron energies with small drifts (radius and maximum of the magnetic fields have limitations) • 1.9 GeV Linac • Construct bypasses around three detectors • Match the non-scaling FFAG arcs to the straights • Summary and required future work Dejan Trbojevic FFAG08, September 02, 17:00

  3. What is the non-scaling FFAG? • The first one is presently being built right here: “EMMA” • Orbit offsets are proportional to the dispersion function: • Dx = Dx*dp/p • To reduce the orbit offsets to +-6 cm range, for momentum range of dp/p ~ 0, -80 % the dispersion function Dx has to be of the order of: • Dx ~ 6 cm / 0.6 ~ 10 cm • The size and dependence of the dispersion function is best presented in the normalized space and by the H function: •  = Dx /xand  = D’x x + x Dx x • with H: H = 2 + 2 Dejan Trbojevic FFAG08, September 02, 17:00

  4. Basic properties of the NS-FFAG Muon acceleration • Concept introduced 1999 at Montauk meeting –Trbojevic, Courant, Garren) using the light source lattice with small emittance minimized H function • Extremely strong • focusing with small • dispersion function. • large energy acceptance. • - tunes variation • very small orbit offsets • - small magnets Dejan Trbojevic FFAG08, September 02, 17:00

  5. Layout of the RHIC tunnel Dejan Trbojevic FFAG08, September 02, 17:00

  6. Possible locations of the magnets Dejan Trbojevic FFAG08, September 02, 17:00

  7. Previous solution (PAC07) Dejan Trbojevic FFAG08, September 02, 17:00

  8. Previous work on the non-scaling FFAG in RHIC tunnel Dejan Trbojevic FFAG08, September 02, 17:00

  9. Layout of the Arc in RHIC Dejan Trbojevic FFAG08, September 02, 17:00

  10. Design of the arcs – from the densely populated FODO cells for the 2 - 10 GeV electrons N=648 cells L=3.6965 m R1=381.23249 m LBD=1.6 m LQF=1.0 m For the dp/p=[0,-80 %] BBD = + 0.078 T BQF = + 0.199 T GF= 9.15 T/m GD= - 5.4 T/m @ electron energy=3.8 GeV Bmax=0.078 - 5.4 *(-0.048)=-0.34 T Bmax=0.199 +9.15*(-0.069)=-0.43T r=381.23 m 762.46 m Orbits are magnified 1000 times Dejan Trbojevic FFAG08, September 02, 17:00

  11. Design of the arcs – from the densely populated FODO cells for the energy range of 2.4 -> 10 GeV electrons Orbits in the arc cell – there are 648 cells in the whole ring THE MAXIMUM ENERGY ORBIT HAS TO BE WITH THE LARGEST POSSIBLE RADIUS (LARGER THE RADIUS SMALLER THE RADIATION LOSSES) The highest momentum Bd/2 Bf Bd/2 44 mm 0.8 m 0.5483 m 1.0 m 0.8 m 3.696228 m Dejan Trbojevic FFAG08, September 02, 17:00

  12. Design of the arcs – from the densely populated betatron functions vs. momentum Dejan Trbojevic FFAG08, September 02, 17:00

  13. Design of the arcs – from the densely populated betatron functions vs. momentum Dejan Trbojevic FFAG08, September 02, 17:00

  14. The linac – triplets with cavities Qf Qd Cavity Qd Cavity Qf 10 GeV 2.4 GeV 7.393 m Gf =15.8 T/m Gd=-10.4 T/m Dejan Trbojevic FFAG08, September 02, 17:00

  15. Superconducting linac: Betatron Function dependence on energy Dejan Trbojevic FFAG08, September 02, 17:00

  16. New concept of the linac – Tunes per Linac cell Dejan Trbojevic FFAG08, September 02, 17:00

  17. Matching cell – arc to linac The matching cell length is: L=2 * 3.696 m = 7.393 m Dejan Trbojevic FFAG08, September 02, 17:00

  18. Design of the large cells – match to the linac 1.0 m 1.0 m 0.8 m 0.8 m Orbit offset are identical to the arc orbit offsets 7.393069 m Dejan Trbojevic FFAG08, September 02, 17:00

  19. Design of the large cells – match to the linac Orbit offset are identical to the arc orbit offsets 1.0 m 0.8 m 7.393069 m Dejan Trbojevic FFAG08, September 02, 17:00

  20. Design of the arcs – Matching to the linac Dejan Trbojevic FFAG08, September 02, 17:00

  21. Larger cells to match to linac from arcs Orbit offsets are zero Lp_cell Lp_cell Ln_cell Ln_cell OPPOSITE BENDING q=qo= 2p/648 q=qo= 2p/648 q=-qo= -2p/648 q=-qo= -2p/648 Dejan Trbojevic FFAG08, September 02, 17:00

  22. Creating the 4.6 m around the detectors 4.6 meters 4.6 m Dejan Trbojevic FFAG08, September 02, 17:00

  23. The whole ring with two straight sections - linacs 229 meters Separation Of 4.6 meters Dejan Trbojevic FFAG08, September 02, 17:00

  24. The whole ring with two straight sections - linacs 229 meters Separation Of 4.6 meters Dejan Trbojevic FFAG08, September 02, 17:00

  25. The linac Dejan Trbojevic FFAG08, September 02, 17:00

  26. Time of flight – Path length dependence on energy Dejan Trbojevic FFAG08, September 02, 17:00

  27. Summary: • The non-scaling FFAG concept could be applied for eRHIC within the existing tunnel. • The non-scaling FFAG arc has been constructed to accept in a single pipe electrons in energy range from 2.4 – 10 GeV with a circular 10 GeV electron orbit, maximum orbit offsets of ~70 mm for the lowest energies, and with the maximum magnetic fields of 0.4 T at the lowest energy. The magnetic field strengths for the 10 GeV electrons are Bmax< 0.2 T. • The time of flight will be adjusted by the special bypass around the detectors. • Possibilities of bypasses and time of flight adjustments have been explored. • Work in progress for matching between the arcs and straight sections for linac with zero dispersion in the linac. • A special beam line to send electrons towards the detector need to be designed. Dejan Trbojevic FFAG08, September 02, 17:00

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