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

Linac and RLAs – ‘Big picture’ 1st part of this talk 0.6 GeV/pass 3.6 GeV 0.9 GeV 244 MeV 146 m 79 m 2 GeV/pass 264 m 12.6 GeV 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

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

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

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

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

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

Two-cell cavity (201 MHz) – COMSOL Morteza Aslaninejad Cristian Bontoiu Jürgen Pozimski IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

Initial phase-space after the cooling channel at 220 MeV/c Linac-RLA Acceptance Initial phase-space after the cooling channel at 220 MeV/c ISS/IDS erms A = (2.5)2 e normalized emittance: ex/ey mmrad 4.8 30 longitudinal emittance: el (el = sDp sz/mmc) momentum spread: sDp/p bunch length: sz mm 24 0.07 165 150 0.17 412 bx,y = 2.74 m ax,y = -0.356 bg = 2.08 IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

Linac Optics – Beam envelopes 146 Thu Apr 08 13:54:52 2010 OptiM - MAIN: - C:\Working\IDS\PreLinac\Linac_sol.opt 30 Size_X[cm] Size_Y[cm] Ax_bet Ay_bet Ax_disp Ay_disp 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

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

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

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

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

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

Linac-to-Arc – Chromatic Compensation E =1.8 GeV 36.9103 Wed Jun 11 13:14:37 2008 OptiM - MAIN: - D:\IDS\Linacs_short\Linac1_fudg.opt 15 3 -3 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y 72 Wed Jun 11 14:08:34 2008 OptiM - MAIN: - D:\IDS\Arcs\Arc2_match.opt ‘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

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

Mirror-symmetric ‘Droplet’ Arc – Optics 130 Tue Jun 10 21:14:41 2008 OptiM - MAIN: - D:\IDS\Arcs\Arc1.opt 15 3 -3 BETA_X&Y[m] DISP_X&Y[m] BETA_X BETA_Y DISP_X DISP_Y E =1.2 GeV (bout = bin and aout = -ain , matched to the linacs) 2 cells out transition 2 cells out 10 cells in transition IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

Multi-pass FFAG Arc Basic cell 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

Multi-pass FFAG Arc 300 60 simple closing of geometry 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

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

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