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

Status of Linac and RLAs – Simulations. Alex Bogacz, Yves Roblin, Jefferson Lab Kevin Beard, Muons Inc. Morteza Aslaninejad, Cristian Bontoiu, J ü rgen Pozimski Imperial College Vasiliy Morozov, Old Dominion University. 0.9 GeV. 244 MeV. 146 m. 79 m. 0.6 GeV/pass. 3.6 GeV. 264 m.

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

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  1. Status of Linac and RLAs – Simulations Alex Bogacz, Yves Roblin, Jefferson Lab Kevin Beard, Muons Inc. Morteza Aslaninejad, Cristian Bontoiu, Jürgen Pozimski Imperial College Vasiliy Morozov, Old Dominion University IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  2. 0.9 GeV 244 MeV 146 m 79 m 0.6 GeV/pass 3.6 GeV 264 m 12.6 GeV 2 GeV/pass Linac and RLAs – ‘Big picture’ 1st part of this talk 2nd part of this talk • IDS Goals: • Define beamlines/lattices for all components • Resolve physical interferences, beamline crossings etc • Error sensitivity analysis • End-to-end simulation (machine acceptance) • Component count and costing IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  3. RLA Lattice Studies - Status • Presently completed lattices • Linear pre-accelerator – solenoid focusing • 4.5 pass Dogbone RLA × 2 (RLA I + RLA II) • Optimized multi-pass linac optics (bisected - quad profile along the linac) • Droplet return arcs (4) matched to the linacs • Transfer lines between the components – injection chicanes • Droplet arcs crossing – Double achromat Optics design • Chromatic corrections with sextupoles at Spr/Rec junctions • Error analysis for the Arc lattices (proof-or-principle) • Magnet misalignment tolerance – DIMAD Monte Carlo Simulation • Focusing errors tolerance – betatron mismatch sensitivity • Piece-wise end-to-end simulation with OptiM (pre-accelerator + RLA I) IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  4. Muon Acceleration Mini-workshop Feb 2-5, 2010 http://casa.jlab.org/external/2010/MuonAcceleration_MiniWorkshop/ IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  5. Sat Dec 13 22:36:02 2008 OptiM - MAIN: - D:\IDS\PreLinac\Sol\Linac_sol.opt 5 12 BETA_X&Y[m] DISP_X&Y[m] 0 0 0 BETA_X BETA_Y DISP_X DISP_Y 146 Solenoid Linac (244 -909 MeV) Transverse acceptance (normalized): (2.5)2eN = 30 mm rad Longitudinal acceptance: (2.5)2 sDpsz/mmc= 150 mm 8 medium cryos 17 MV/m 6 short cryos 15 MV/m 11 long cryos 17 MV/m 2.4 Tesla solenoid 1.4 Tesla solenoid 1.1 Tesla solenoid IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  6. Linac – tracking studies DONE SO FAR: • shielded two-shell solenoid modeled with POISSON • RF cavities modeled with SUPERFISH, COMSOL, & CST • front-to-end lattice for OptiM(solenoids, dipoles, quadrupoles, & sextupoles) • linac lattice tested in MAD-X • beam tracking using GPT • optical match of linac to cooling channel with one solenoid • beam-loading effects evaluated as negligible • standard for exchanging data files proposed IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  7. Solenoid Model (Superfish) outer coil shield inner coil ‘Soft-edge’ Solenoid IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  8. Two-cell cavity (201 MHz) – COMSOL MortezaAslaninejad CristianBontoiu JürgenPozimski IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  9. Linac-RLA Acceptance Initial phase-space after the cooling channel at 220 MeV/c bx,y = 2.74 m ax,y = -0.356 bg = 2.08 IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  10. Thu Apr 08 13:54:52 2010 OptiM - MAIN: - C:\Working\IDS\PreLinac\Linac_sol.opt 30 30 Size_Y[cm] Size_X[cm] 0 0 0 Ax_bet Ay_bet Ax_disp Ay_disp 146 Linac Optics – Beam envelopes Transverse acceptance (normalized): (2.5)2eN = 30 mm rad Longitudinal acceptance: (2.5)2 sDpsz/mmc= 150 mm NFMCC Collaboration Meeting, Oxford, MS, January 14, 2010

  11. Sat Dec 13 22:36:02 2008 OptiM - MAIN: - D:\IDS\PreLinac\Sol\Linac_sol.opt 5 12 BETA_X&Y[m] DISP_X&Y[m] 0 0 0 BETA_X BETA_Y DISP_X DISP_Y 146 Linac Optics – OptiM vs ELEGANT a = 19.5 cm a = 19.5 cm Yves Roblin IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  12. Longitudinal phase-space tracking MATHCAD OptiM Initial distribution Kevin Beard Alex Bogacz ELEGANT MATLAB Yves Roblin Morteza Aslaninejad IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  13. Cooling Channel – Linac Optics b B|| a IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  14. GPT Particle Tracking in the Linac cooling -> upper linac upper -> middle linac IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  15. Linac and RLAs - ‘field map’ tracking TO DO NEXT: • Include cavity filling effect on accelaration • Get a more accurate initial distribution • Design an improved cooling-to-linac section • Upgrade analytic cavity phasing – check against GPT • Complete linac lattice via tuning solenoids, phasing cavities, & tracking with GPT IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  16. Wed Jun 11 14:08:34 2008 OptiM - MAIN: - D:\IDS\Arcs\Arc2_match.opt Wed Jun 11 13:14:37 2008 OptiM - MAIN: - D:\IDS\Linacs_short\Linac1_fudg.opt 3 15 3 15 BETA_X&Y[m] DISP_X&Y[m] BETA_X&Y[m] DISP_X&Y[m] -3 0 -3 0 0 BETA_X BETA_Y DISP_X DISP_Y 36.9103 0 BETA_X BETA_Y DISP_X DISP_Y 72 Linac-to-Arc – Chromatic Compensation E =1.8 GeV • ‘Matching quads’ are invoked • No 900 phase adv/cell maintained across the ‘junction’ • Chromatic corrections needed – two pairs of sextupoles IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  17. Linac-to-Arc - Chromatic Corrections initial uncorrected two families of sextupoles IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  18. Mirror-symmetric ‘Droplet’ Arc – Optics Tue Jun 10 21:14:41 2008 OptiM - MAIN: - D:\IDS\Arcs\Arc1.opt 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 IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  19. Multi-pass FFAG Arc • 2 or more passes through the same arc e.g. 5 GeV and 9 GeV • NS-FFAG arc lattice design • Achromatic basic cell with 90 horizontal phase advance • Automatic matching between inward and outward bending cells • Linear optics understood • Need to incorporate sextupole and higher-order field components to accommodate higher momenta Basic cell example trajectories dispersion Vasiliy Morozov COSY Infinity IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  20. Multi-pass FFAG Arc Vasiliy Morozov simple closing of geometry when using similar cells r = 38.5 meters 300 60 C = 302 meters IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  21. Proposed SDDS Exchange Format http://casa.jlab.org/external/2010/MuonAcceleration_MiniWorkshop/SDDS/draft.html • ZGOUBI • ELEGANT • G4beamline • ICOOL • OptiM • COSY-Infinity • MAD-X • GPT • … Kevin Beard IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

  22. Summary • Critical components of front-end linac modeled • Initial design of the front-end linac simulated • Design matching sections simulated • RLA arc lattice + chromaticity compensation simulated • Putting the pieces together for end-to-end simulations • Multi-pass (2) FFAG Arcs? IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

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