1. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Pre-Linac simulations in G4beamline Kevin B. Beard Muons,Inc. & Alex Bogacz & Yves Roblin Jefferson Lab LEMC2009 workshop 8-12 Jun 2009

2. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 0.6 GeV/pass 3.6 GeV 0.9 GeV 244 MeV 146 m 79 m 2 GeV/pass 264 m 12.6 GeV E total : 244 MeV → 900 MeV P: 220 MeV/c → 894 MeV/c KE: 138 MeV → 794 MeV M  = 105.658 MeV pre-accelerator linac - not very relativistic Morteza Aslaninejad, Cristian Bontoiu J ü rgen Pozimski, Ajit Kurup Imperial College, London, UK

3. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Longitudinal phase-space tracking IDS  rms A = (2.5) 2  normalized emittance:  x /  y mm  rad 4.830 longitudinal emittance:  l  l   p  z /m  c) momentum spread:   p/p bunch length:  z mm 27 0.07 176 150  0.17  442 ELEGANT (Fieldmap) OptiM (Matrix)

4. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Solenoid Linac (244 -909 MeV) 6 short cryos 15 MV/m 8 medium cryos 17 MV/m 11 long cryos 17 MV/m 1.1 Tesla solenoid 1.4 Tesla solenoid 2.4 Tesla solenoid Transverse acceptance (normalized): (2.5) 2   = 30 mm rad Longitudinal acceptance: (2.5) 2   p  z /m  c  = 150 mm 1460 Sat Dec 13 22:36:02 2008 OptiM - MAIN: - D:\IDS\PreLinac\Sol\Linac_sol.opt 12 0 5 0 BETA_X&Y[m] DISP_X&Y[m] BETA_XBETA_YDISP_XDISP_Y

5. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Why another simulation? OptiM – fast, interactive, design, matrix based 0 th order design tool, symplectic soft edge solenoids, very good at tuning (free) GPT – good at tracking ($) G4beamline – tracking, Geant4 particle decays & interactions, energy depositions, showers, etc., not so good at tuning (free & open source) http://g4beamline.muonsinc.com

6. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Solenoid Model (Superfish) outer coil inner coil shield ‘Soft-edge’ Solenoid

7. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Two-cell cavity (201 MHz) – COMSOL Morteza Aslaninejad Cristian Bontoiu J ü rgen Pozimski

8. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Field maps Ez single RF cell Ez solenoid Bz double RF cell

9. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 LEMC2009 workshop 8-12 Jun 2009 g4beamline 2.08 valve assembly conductors counterwound solenoid RF cell Virtual detectors flux return shield stainless pipe

10. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 LEMC2009 workshop 8-12 Jun 2009 upper middle lower

11. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Muons, Inc. LEMC2009 workshop 8-12 Jun 2009 E z (z,t) ≈ q E zo cos(2πf t + φ) cos(π z/L) ΔE ≈ -2 q E zo L cos(π/ 2β) cos(φ) β 2 /(π (1-β 2 ) L=2λ c=λf z=cβt ΔE ≈ ∫ E z (z,z/cβ) dz +L/2 -L/2 0 o ≡on crest T i ≈ T i-1 + (z i - z i-1 )/(cβ i-1 ) E z (z,t) ≈ q E zo cos(2πf t + φ) cos(π z/L) ΔE ≈ -2 q E zo L cos(π/ 2β) cos(φ) β 2 /(π (1-β 2 ) ΔE ≈ ∫ E z (z,z/cβ) dz T i ≈ T i-1 + (z i - z i-1 )/(cβ i-1 ) Simple Phasing via spreadsheet

12. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Muons, Inc. Linac parameters

13. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Muons, Inc. LEMC2009 workshop 8-12 Jun 2009 phases from spreadsheet phases partially adjusted Longitudinal

14. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Muons, Inc. LEMC2009 workshop 8-12 Jun 2009 Comparison of GPT, OptiM, g4beamline z[cm] KE[MeV] z[cm] OptiM G4beamline w/adj. φ's G4beamline w/OptiM's φ's GPT

15. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Muons, Inc. LEMC2009 workshop 8-12 Jun 2009 EzEz EzEz

16. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 LEMC2009 workshop 8-12 Jun 2009 Sep 14, 2010 Muons, Inc.

17. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Muons, Inc. LEMC2009 workshop 8-12 Jun 2009 G4beamline model is working well and in general agreement with other simulations Essential step toward our long term goal of complete end-to-end simulations Fine tuning is still in progress Will soon begin particle interactions with the hardware Pz t Synchrotron motion t ~ 1 synch period ~ oncrest

18. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Muons, Inc. LEMC2009 workshop 8-12 Jun 2009 GPT G4beamline z[m] y[m] Transverse motion

19. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Muons, Inc. LEMC2009 workshop 8-12 Jun 2009 G4beamline improvements from this work: fieldmap timeOffset fixed (simple bug fix) pillbox autoTune being added (tune for max,min ΔE or Δt rather than assume Δv=0)

20. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Linac – near term plans greatly improve RF phasing capability of G4beamline optical rematch of linac to cooling channel optimize longitudinal and transverse acceptance determine energy deposition in components prepare the transfer line to RLA I

21. Operated by JSA for the U.S. Department of Energy Muons, Inc. Winter MAP Mtg, Mar. 2 nd, 2011 Muons, Inc. LEMC2009 workshop 8-12 Jun 2009 Sep 14, 2010