1. Progress on the Linac and RLAs
Alex Bogacz, Vasiliy Morozov, Yves Roblin, Jefferson Lab
Kevin Beard, Muons Inc.
Morteza Aslaninejad, Cristian Bontoiu, Jürgen Pozimski Imperial College

2. 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
EUROnu Jan. 2011

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)
EUROnu Jan. 2011

4. Muon Acceleration Mini-workshop
Feb 2-5, 2010

5. Solenoid Linac ( 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: 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
EUROnu Jan. 2011

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
EUROnu Jan. 2011

7. Solenoid Model (Superfish)
outer coil
shield
inner coil
‘Soft-edge’ Solenoid
EUROnu Jan. 2011

8. Two-cell cavity (201 MHz) – COMSOL
Morteza Aslaninejad
Cristian Bontoiu
Jürgen Pozimski
EUROnu Jan. 2011

9. 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
bx,y = 2.74 m
ax,y =
bg = 2.08
EUROnu Jan. 2011

10. Linac Optics – Beam envelopes
EUROnu Jan. 2011
146
Thu Apr 08 13:54: 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

11. Linac Optics – OptiM vs ELEGANT
146
Sat Dec 13 22:36: 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
EUROnu Jan. 2011

12. Longitudinal phase-space tracking
MATHCAD
OptiM
Initial distribution
Kevin Beard
Alex Bogacz
ELEGANT
MATLAB
Yves Roblin
Morteza Aslaninejad
EUROnu Jan. 2011

13. Cooling Channel – Linac Opticsb
B|| a
EUROnu Jan. 2011

14. GPT Particle Tracking in the Linac
cooling -> upper linac
upper -> middle linac
EUROnu Jan. 2011

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
EUROnu Jan. 2011

16. Linac-to-Arc – Chromatic Compensation
E =1.8 GeV
Wed Jun 11 13:14: 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: 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
EUROnu Jan. 2011

17. Linac-to-Arc - Chromatic Corrections
initial
uncorrected
two families of sextupoles
EUROnu Jan. 2011

18. Mirror-symmetric ‘Droplet’ Arc – Optics
130
Tue Jun 10 21:14: 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
EUROnu Jan. 2011

19. Multi-pass FFAG Arc Basic cell
EUROnu Jan. 2011
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 300 60 simple closing of geometry
EUROnu Jan. 2011
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
ZGOUBI
ELEGANT
G4beamline
ICOOL
OptiM
COSY-Infinity
MAD-X
GPT …
Kevin Beard
EUROnu Jan. 2011

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?
EUROnu Jan. 2011

23. Alex Bogacz, V.Morozov, Y.Roblin
Recent Progress
on the Linac and RLAs
Recent Progress
on the Linac and RLAs
Kevin B. Beard,
Muons,Inc.
&
Alex Bogacz, V.Morozov, Y.Roblin
Jefferson Lab
LEMC2009 workshop 8-12 Jun 2009

24. 244 MeV 0.9 GeV 0.6 GeV/pass 3.6 GeV 12.6 GeV 2 GeV/pass
Recent Progress
on the Linac and RLAs
0.6 GeV/pass
3.6 GeV
0.9 GeV
244 MeV
146 m
79 m
2 GeV/pass
264 m
12.6 GeV
LEMC2009 workshop 8-12 Jun 2009

25. Linear Pre-accelerator – 244 MeV to 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)2= 30 mm rad
Longitudinal acceptance: (2.5)2 pz/mc= 150 mm 8m 3m 5m
Mini-workshop on Low Energy Muon Acceleration, CNU, February 2-5 , 2010

26. Why another simulation?
OptiM – fast, interactive, design, matrix based 0th 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) (v2.06)
LEMC2009 workshop 8-12 Jun 2009
Sep 14, 2010

27. LEMC2009 workshop 8-12 Jun 2009
Aug 31, 2010

28. G4beamline input file z18.in
...
# The "default" physics list is QGSP_BERT
physics QGSP_BERT disable=Decay
###################### begin: common info #################################
# physical constants:
param deg= /180.
param muonmass=
param c_mm_nS=
upperCryomodule $Zcryo1 $j1 $Toff1 $kill1
upperCryomodule $Zcryo2 $j2 $Toff2 $kill2
upperCryomodule $Zcryo3 $j3 $Toff3 $kill3
upperCryomodule $Zcryo4 $j4 $Toff4 $kill4
upperCryomodule $Zcryo5 $j5 $Toff5 $kill5
upperCryomodule $Zcryo6 $j6 $Toff6 $kill6
middleCryomodule $Zcryo7 $j7 $Toff7 $kill7
middleCryomodule $Zcryo8 $j8 $Toff8 $kill8
middleCryomodule $Zcryo9 $j9 $Toff9 $kill9
middleCryomodule $Zcryo10 $j10 $Toff10 $kill10
middleCryomodule $Zcryo11 $j11 $Toff11 $kill11
middleCryomodule $Zcryo12 $j12 $Toff12 $kill12
middleCryomodule $Zcryo13 $j13 $Toff13 $kill13
middleCryomodule $Zcryo14 $j14 $Toff14 $kill14
lowerCryomodule $Zcryo15 $j15 $Toff15a $Toff15b $kill15
lowerCryomodule $Zcryo16 $j16 $Toff16a $Toff16b $kill16
lowerCryomodule $Zcryo17 $j17 $Toff17a $Toff17b $kill17
lowerCryomodule $Zcryo18 $j18 $Toff18a $Toff18b $kill18
lowerCryomodule $Zcryo19 $j19 $Toff19a $Toff19b $kill19
lowerCryomodule $Zcryo20 $j20 $Toff20a $Toff20b $kill20
lowerCryomodule $Zcryo21 $j21 $Toff21a $Toff21b $kill21
solenoid
RF timing
center
Only 534 non-comment lines, produces 244 virtual detectors, 25 cryomodules
beam stop
LEMC2009 workshop 8-12 Jun 2009
Sep 14, 2010
Muons, Inc.

29. Conclusions
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
LEMC2009 workshop 8-12 Jun 2009
Sep 14, 2010
Muons, Inc.

30. Ez Ez
LEMC2009 workshop 8-12 Jun 2009
Aug 31, 2010
Muons, Inc.

31. phases partially adjusted
phases from spreadsheet
LEMC2009 workshop 8-12 Jun 2009
Aug 31, 2010

32. Comparison of GPT, OptiM, g4beamline
KE[MeV]
z[cm]
G4beamline w/adj. φ's
OptiM
G4beamline
w/OptiM's φ's
KE[MeV]
LEMC2009 workshop 8-12 Jun 2009
z[cm]
Muons, Inc.
MAG, Jun 14, 2010

33. Every 3rd solenoid (adjusted from oncrest)
800
ET [MeV]
22nS
t[nS]
LEMC2009 workshop 8-12 Jun 2009
Sep 14, 2010
Muons, Inc.

34. GPT G4beamline y[m] LEMC2009 workshop 8-12 Jun 2009 z[m] z[m]
Sep 14, 2010
Muons, Inc.

35. lost
LEMC2009 workshop 8-12 Jun 2009
Sep 14, 2010

36. those that made it to the end in G4beamline
input t,Pz for acceptance
OptiM generated input
LEMC2009 workshop 8-12 Jun 2009
Sep 14, 2010
Muons, Inc.

37. Fine tuning is still in progress
Synchrotron motion Pz
~ oncrest
~ 1 synch period
LEMC2009 workshop 8-12 Jun 2009 t t
Sep 14, 2010
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

38. ∘RF ~ oncrest ~ 1 synch period #m LEMC2009 workshop 8-12 Jun 2009 z[m]
Sep 14, 2010
z[m]
Muons, Inc.

39. LEMC2009 workshop 8-12 Jun 2009