Muon RLA Design Status and Simulations Muons Inc., Vasiliy Morozov, Yves Roblin Jefferson Lab NuFact'11, Univ. of Geneva, Aug. 1-6, 211 1
Linac and RLAs IDS 244 MeV.9 GeV RLA with 2-pass Arcs 192 m 79 m.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 C. Bontoui Component count and costing Two regular droplet arcs replaced by one two-pass combined function magnet arc NuFact'11, Univ. of Geneva, Aug. 1-6, 211 2
Linear Pre-accelerator.9 GeV 6 5 192 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y 24 short cryos 24 medium cryos 1.5 Tesla solenoid 2 Tesla solenoid NuFact'11, Univ. of Geneva, Aug. 1-6, 211 3
Transit time effect G4BL C. Bontoiu M. Aslaninejad NuFact'11, Univ. of Geneva, Aug. 1-6, 211 4
Linear Pre-accelerator Longitudinal dynamics 72 o before crest 25 on crest 25 Size_X[cm] (2.5) 2 ε Ν = 3 mm rad (2.5) 2 σ p σ z /m µ c = 15 mm Size_Y[cm] Ax_bet Ay_bet Ax_disp Ay_disp 192-3 dp/p * 1, -3 dp/p * 1, 3 3-5 S [cm] View at the 5 lat -5 S [cm] View at the 5 latt Longitudinal phase-space (s, p/p) axis range: s = ±5 cm, p/p = ±.3 NuFact'11, Univ. of Geneva, Aug. 1-6, 211 5
Pre-Linac - Longitudinal phase-space Initial distribution 15 ε l ε x /ε y = 4.8 mm rad = σ p σ z /m µ c = 24 mm -15 dp/p * 1, -3 S [cm] View at the 3 latt ELEGANT (Fieldmap) OptiM (Matrix) G4beamline (Tracking) Δp/p * 1 Δs[cm] NuFact'11, Univ. of Geneva, Aug. 1-6, 211 6
Injection/Extraction Chicane µ + µ $Lc = 6 cm $angh = 9 deg. $BH = 1.2 kgauss µ + $Lc = 6 cm $angv = 5 deg. $BV = 4.7 kgauss 5 cm 1.7 m 2.1 GeV.9 GeV µ µ + µ 1.5 GeV 3 Double achromat Optics 1 BETA_X&Y[m] DISP_X&Y[m] FODO lattice: 9 /12 (h/v) betatron phase adv. per cell BETA_X BETA_Y DISP_X DISP_Y H -H V -H 3 cells -V H 3-1 4 cells NuFact'11, Univ. of Geneva, Aug. 1-6, 211 7
Multi-pass Linac Optics Bisected Linac half pass, 9-12 MeV initial phase adv/cell 9 deg. scaling quads with energy 15 BETA_X&Y[m] quad gradient 5 DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y 39.913 1-pass, 12-18 MeV mirror symmetric quads in the linac 15 BETA_X&Y[m] quad gradient 5 DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y 78.913 NuFact'11, Univ. of Geneva, Aug. 1-6, 211 8
Multi-pass bi-sected linac Optics Arc 1 Arc 2 Arc 3 Arc 4 3 β x = 7.9 m β y = 8.7 m β x = 6.3 m β y = 7.9 m α x =-.8 α y =1.3 β x = 3.2 m β y = 6. m α x =-1.2 α y =1.3 α x =-1.1 α y =1.5 β x,y β x,y β x = 13. m β y = 14.4 m α x =-1.2 α y =1.5 β x,y α xy β x,y α xy 5 BETA_X&Y[m] β x,y α xy β x,y α xy β x,y α xy β x,y α xy α xy α xy DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y 389.32.9 GeV 1.2 GeV 1.8 GeV 2.4 GeV 3. GeV 3.6 GeV quad grad. length NuFact'11, Univ. of Geneva, Aug. 1-6, 211 9
Mirror-symmetric Droplet Arc Optics 15 E =1.2 GeV (β out = β in and α out = -α in, matched to the linacs) BETA_X&Y[m] DISP_X&Y[m] 3 BETA_X BETA_Y DISP_X DISP_Y 13-3 2 cells out transition 2 cells out 1 cells in transition 3 footprint 3 5 4 3-3 dp/p * 1, -4 S [cm] View at the lattice end 4 2 1 x [cm] 2 4 6 8 1-1 -2-3 -4-5 z [cm] -3 dp/p * 1, -4 S [cm] View at the lattice begin 4 NuFact'11, Univ. of Geneva, Aug. 1-6, 211 1
Alternative multi-pass linac Optics 9 Arc 1 Arc 2 Arc 3 Arc 1 Arc 2 Arc 3 Arc Arc 4 4 β x = 3.2 m β y = 6. m β x = 3.2 m β y = 6. m α x =-1.1 α y =1.5 α x =-1.1 α y =1.5 β x = 3.2 m β y = 6. m α x =-1.1 α y =1.5 β x = 3.2 m β y = 6. m α x =-1.1 α y =1.5 5 β x,y β x,y BETA_X&Y[m] β x,y β x,y β x,y β β x,y β x,y x,y α xy α xy α xy α α xy α xy xy α xy α xy DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y 389.32.9 GeV 1.2 GeV 1.8 GeV 2.4 GeV 3. GeV 3.6 GeV quad grad. length NuFact'11, Univ. of Geneva, Aug. 1-6, 211 11
Arcs Crossing - Vertical Bypass Dogbone RLA - footprint 5 4 3 2 1 x [cm] -1 6 11 16 21 26 31-2 -3-4 -5 z [cm] 3 E = 1.2. GeV 2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y 42-2 4 vertical bends: B = 1 Tesla L = 1 cm µ + µ y = 25 cm V V -V 4 cells (9 FODO) -V NuFact'11, Univ. of Geneva, Aug. 1-6, 211 12
Droplet Arcs scaling RLA I i = 1 4 E i [GeV] p i /p 1 cell_out cell_in length [m] 5 footprint Arc1 1.2 1 2 2 1 13 Arc2 1.8 1.43 2 3 15 172 Arc3 2.4 1.87 2 4 2 214 4 3 2 1 x [cm] 2 4 6 8 1-1 -2-3 Arc4 3. 2.3 2 5 25 256-4 -5 z [cm] Fixed dipole field: B i =1.5 kgauss Quadrupole strength scaled with momentum: G i = Arc circumference increases by: (1+1+5) p i p 1 6 m = 42 m.4 kgauss/cm NuFact'11, Univ. of Geneva, Aug. 1-6, 211 13
Droplet Arcs scaling RLA II i = 1 4 E i [GeV] p i /p 1 cell_out cell_in length [m] 5 footprint Arc1 4.6 1 2 2 1 26 Arc2 6.6 1.435 2 3 15 344 Arc3 8.6 1.87 2 4 2 428 4 3 2 1 x [cm] 2 4 6 8 1-1 -2-3 Arc4 1.6 2.35 2 5 25 512-4 -5 z [cm] Fixed dipole field: B i = 4.3 kgauss Quadrupole strength scaled with momentum: G i = Arc circumference increases by: (1+1+5) p i p 1 12 m = 84 m 1.5 kgauss/cm NuFact'11, Univ. of Geneva, Aug. 1-6, 211 14
Component Count beamline RF cavities solenoids dipoles quads sext 1-cell 2-cell pre-accelerator 6 62 25 inj-chic I 8+3 16 3 RLA I linac 24 26 arc1 35 43 arc2 49 57 arc3 63 71 arc4 77 85 inj-chic II 8+3 16 3 RLA II linac 8 42 arc1 35 43 arc2 49 57 arc3 63 71 arc4 77 85 Lambertson 1 NuFact'11, Univ. of Geneva, Aug. 1-6, 211 15
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: 6 outward bend 3 inward bend 6 outward bend 3 6 C = 117.6 m Vasiliy Morozov NuFact'11, Univ. of Geneva, Aug. 1-6, 211 16
Large Acceptance Super-cell (2 passes) Each arc is composed of symmetric super cells consisting of linear combined-function magnets (each bend: 2.5 ) 1.2 GeV Optics 2.4 GeV Optics θ = 6 NuFact'11, Univ. of Geneva, Aug. 1-6, 211 17
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 B 1.7 Tesla G 28 Tesla/m NuFact'11, Univ. of Geneva, Aug. 1-6, 211 18
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, 211 19
Chicane - Double Achromat Optics.5 betatron phase PHASE_X&Y Q_X Q_Y φ y = 2π φ x = 2π 3 3 Double achromat Optics 1 BETA_X&Y[m] DISP_X&Y[m] FODO quads: L[cm] = 5 F: G[kG/cm] =.322 D: G[kG/cm] = -.364 BETA_X BETA_Y DISP_X DISP_Y H -H V -H 3 cells -V H 3-1 sextupole pair to correct vert. emittance dilution 4 cells NuFact'11, Univ. of Geneva, Aug. 1-6, 211 2