Muon RLA Design Status and Simulations

Transcription

1 Muon RLA Design Status and Simulations Muons Inc., Vasiliy Morozov, Yves Roblin Jefferson Lab NuFact'11, Univ. of Geneva, Aug. 1-6, 211 1

2 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

3 Linear Pre-accelerator.9 GeV 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

4 Transit time effect G4BL C. Bontoiu M. Aslaninejad NuFact'11, Univ. of Geneva, Aug. 1-6, 211 4

5 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 dp/p * 1, -3 dp/p * 1, 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

6 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

7 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 cells NuFact'11, Univ. of Geneva, Aug. 1-6, 211 7

8 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 pass, 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 NuFact'11, Univ. of Geneva, Aug. 1-6, 211 8

9 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 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

10 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 cells out transition 2 cells out 1 cells in transition 3 footprint dp/p * 1, -4 S [cm] View at the lattice end x [cm] 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

11 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 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,

12 Arcs Crossing - Vertical Bypass Dogbone RLA - footprint x [cm] z [cm] 3 E = 1.2. GeV 2 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y 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,

13 Droplet Arcs scaling RLA I i = 1 4 E i [GeV] p i /p 1 cell_out cell_in length [m] 5 footprint Arc Arc Arc x [cm] Arc 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,

14 Droplet Arcs scaling RLA II i = 1 4 E i [GeV] p i /p 1 cell_out cell_in length [m] 5 footprint Arc Arc Arc x [cm] Arc 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,

15 Component Count beamline RF cavities solenoids dipoles quads sext 1-cell 2-cell pre-accelerator inj-chic I RLA I linac arc arc arc arc inj-chic II RLA II linac 8 42 arc arc arc arc Lambertson 1 NuFact'11, Univ. of Geneva, Aug. 1-6,

16 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 = m Vasiliy Morozov NuFact'11, Univ. of Geneva, Aug. 1-6,

17 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,

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 B 1.7 Tesla G 28 Tesla/m NuFact'11, Univ. of Geneva, Aug. 1-6,

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,

20 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] = 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