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Kevin Beard Muons Inc. Alex Bogacz, Vasiliy Morozov, Yves Roblin Jefferson Lab

Muon RLA - Design Status and Simulations. Kevin Beard Muons Inc. Alex Bogacz, Vasiliy Morozov, Yves Roblin Jefferson Lab. Linac and RLAs - IDS. RLA with 2-pass Arcs. 0.9 GeV. 244 MeV. 192 m. 79 m. 79 m. 0.6 GeV/pass. 3.6 GeV. 264 m. 12.6 GeV. 2 GeV/pass. IDS Goals:

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Kevin Beard Muons Inc. Alex Bogacz, Vasiliy Morozov, Yves Roblin Jefferson Lab

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  1. Muon RLA - Design Status and Simulations Kevin Beard Muons Inc. Alex Bogacz, Vasiliy Morozov, Yves Roblin Jefferson Lab NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  2. Linac and RLAs - IDS RLA with 2-pass Arcs 0.9 GeV 244 MeV 192 m 79 m 79 m 0.6 GeV/pass 3.6 GeV 264 m 12.6 GeV 2 GeV/pass • IDS Goals: • Define beamlines/lattices for all components • Matrix based end-to-end simulation (machine acceptance) (OptiM) • Field map based end-to-end simulation: ELEGANT, GPT and G4Beamline • Error sensitivity analysis • Component count and costing • Two regular droplet arcs replaced by one two-pass combined function magnet arc C. Bontoui NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  3. 5 6 BETA_X&Y[m] DISP_X&Y[m] 0 0 0 BETA_X BETA_Y DISP_X DISP_Y 192 Linear Pre-accelerator – 0.9 GeV 24 short cryos 24 medium cryos 1.5 Tesla solenoid 2 Tesla solenoid NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  4. Transit time effect – G4BL C. Bontoiu M. Aslaninejad NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  5. 25 25 Size_Y[cm] Size_X[cm] 0 0 0 Ax_bet Ay_bet Ax_disp Ay_disp 192 Linear Pre-accelerator – Longitudinal dynamics 72o before crest on crest (2.5)2eN = 30 mm rad (2.5)2 sDpsz/mmc= 150 mm Longitudinal phase-space (s, Dp/p) axis range: s = ±50 cm, Dp/p = ±0.3 NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  6. Pre-Linac - Longitudinal phase-space Initial distribution ex/ey = 4.8 mm rad el = sDpsz/mmc = 24 mm ELEGANT (Fieldmap) OptiM (Matrix) G4beamline (Tracking) Δp/p * 1000 Δs[cm] NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  7. m- m+ 1 30 BETA_X&Y[m] DISP_X&Y[m] -1 0 0 BETA_X BETA_Y DISP_X DISP_Y 30 Injection/Extraction Chicane $Lc = 60 cm $angH = 9 deg. $BH = 10.2 kGauss $Lc = 60 cm $angV = 5 deg. $BV = 4.7 kGauss m+ m- m+ 0.9 GeV 1.5 GeV m- 50 cm 1.7 m 2.1 GeV Double achromat Optics FODO lattice: 900/1200 (h/v) betatron phase adv. per cell -H V H -H H -V 3 cells 4 cells NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  8. Multi-pass Linac Optics – Bisected Linac 5 15 BETA_X&Y[m] DISP_X&Y[m] 0 0 0 BETA_X BETA_Y DISP_X DISP_Y 39.9103 5 15 BETA_X&Y[m] DISP_X&Y[m] 0 0 0 BETA_X BETA_Y DISP_X DISP_Y 78.9103 ‘half pass’ , 900-1200 MeV initial phase adv/cell 90 deg. scaling quads with energy quad gradient 1-pass, 1200-1800 MeV mirror symmetric quads in the linac quad gradient NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  9. 5 30 BETA_X&Y[m] DISP_X&Y[m] 0 0 0 BETA_X BETA_Y DISP_X DISP_Y 389.302 Multi-pass bi-sected linac Optics bx = 13.0 m by = 14.4 m ax=-1.2ay=1.5 bx = 7.9 m by = 8.7 m ax=-0.8ay=1.3 Arc 2 Arc 3 Arc 4 Arc 1 bx = 6.3 m by = 7.9 m ax=-1.2ay=1.3 bx,y → bx,y axy → - axy bx = 3.2 m by = 6.0 m ax=-1.1ay=1.5 bx,y → bx,y axy → - axy bx,y → bx,y axy → - axy bx,y → bx,y axy → - axy quad grad. 3.0 GeV 0.9 GeV 1.2 GeV 1.8 GeV 2.4 GeV 3.6 GeV length NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  10. Mirror-symmetric ‘Droplet’ Arc – Optics 3 15 BETA_X&Y[m] DISP_X&Y[m] -3 0 0 BETA_X BETA_Y DISP_X DISP_Y 130 (bout = bin and aout = -ain , matched to the linacs) E =1.2 GeV 2 cells out transition 2 cells out transition 10 cells in NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  11. 5 90 BETA_X&Y[m] DISP_X&Y[m] 0 0 0 BETA_X BETA_Y DISP_X DISP_Y 389.302 Alternative multi-pass linac Optics Arc 2 bx = 3.2 m by = 6.0 m ax=-1.1ay=1.5 Arc 1 bx = 3.2 m by = 6.0 m ax=-1.1ay=1.5 Arc 3 bx = 3.2 m by = 6.0 m ax=-1.1ay=1.5 Arc 4 bx = 3.2 m by = 6.0 m ax=-1.1ay=1.5 bx,y → bx,y axy → - axy Arc 4 Arc 2 Arc 3 Arc 1 bx,y → bx,y axy → - axy bx,y → bx,y axy → - axy bx,y → bx,y axy → - axy quad grad. 3.0 GeV 0.9 GeV 1.2 GeV 1.8 GeV 2.4 GeV 3.6 GeV length NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  12. Arcs ‘Crossing’ - Vertical Bypass 2 30 BETA_X&Y[m] DISP_X&Y[m] -2 0 m+ m- 0 BETA_X BETA_Y DISP_X DISP_Y 42 E = 1.2. GeV 4 vertical bends: B = 1 Tesla L = 10 cm V V Dy = 25 cm -V -V 4 cells (900 FODO) NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  13. ‘Droplet’ Arcs scaling – RLA I • Fixed dipole field: Bi =10.5 kGauss • Quadrupole strength scaled with momentum: Gi = × 0.4 kGauss/cm • Arc circumference increases by: (1+1+5) × 6 m = 42 m NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  14. ‘Droplet’ Arcs scaling – RLA II • Fixed dipole field: Bi = 40.3 kGauss • Quadrupole strength scaled with momentum: Gi = × 1.5 kGauss/cm • Arc circumference increases by: (1+1+5) × 12 m = 84 m NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  15. Component Count NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  16. 300 60 C = 117.6 m Two-pass Arc Layout • Simple closing of arc geometry when using similar super cells • 1.2 / 2.4 GeV/c arc design used as an illustration can be scaled/optimized for higher energies preserving the factor of 2 momentum ratio of the two passes • Droplet arc: • 60 outward bend • 300 inward bend • 60 outward bend Vasiliy Morozov NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  17. Large Acceptance Super-cell (2 passes) • Each arc is composed of symmetric super cells consisting of linear combined-function magnets (each bend: 2.50) 2.4 GeV Optics 1.2 GeV Optics q = 600 NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  18. ‘Droplet’ Arc - Spreader/Recombiner • First few magnets of the super cell have dipole field component only, serving as Spreader/Recombiner * Trajectories are shown to scale NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  19. Summary • Piece-wise end-to-end simulation with OptiM/ELEGANT (transport codes) • Solenoid linac • Injection chicane I (new more compact design) • RLA I + Injection chicane II + RLA II • Alternative multi-pass linac optics • Currently under study… GPT/G4beamline • End-to-end simulation with fringe fields (sol. & rf cav.) • Engineer individual active elements (magnets and RF cryo modules) • μ decay, background, energy deposition • Strong synergy with muon collider program NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

  20. 0.5 PHASE_X&Y 0 0 Q_X Q_Y 30 1 30 BETA_X&Y[m] DISP_X&Y[m] -1 0 0 BETA_X BETA_Y DISP_X DISP_Y 30 Chicane - Double Achromat Optics betatron phase Dfy = 2p Dfx = 2p Double achromat Optics FODO quads: L[cm] = 50 F: G[kG/cm] = 0.322 D: G[kG/cm] = -0.364 sextupole pair to correct vert. emittance dilution -H V H -H H -V 3 cells 4 cells NuFact'11, Univ. of Geneva, Aug. 1-6, 2011

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