Alex Bogacz, Vasiliy Morozov, Yves Roblin, Jefferson Lab Kevin Beard, Muons Inc

Operated by JSA for the U.S. Department of Energy

Muons, Inc.

Alex Bogacz, Vasiliy Morozov, Yves Roblin, Jefferson Lab

Kevin Beard, Muons Inc.

Morteza Aslaninejad, Cristian Bontoiu, Jürgen Pozimski Imperial College

Progress on the Linac and RLAs


Muons, Inc.

Linac and RLAs – ‘Big picture’

0.6 GeV/pass3.6 GeV

0.9 GeV244 MeV

146 m

79 m

2 GeV/pass

264 m

12.6 GeV

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

1st part of this talk

2nd part of this talk


Muons, Inc.

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


Muons, Inc.

Muon Acceleration Mini-workshop

http://casa.jlab.org/external/2010/MuonAcceleration_MiniWorkshop/

Feb 2-5, 2010


Muons, Inc.

Solenoid Linac (244 -909 MeV)

EUROnu Jan. 2011

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 pz/mc= 150 mm

1460

Sat Dec 13 22:36:02 2008 OptiM - MAIN: - D:\IDS\PreLinac\Sol\Linac_sol.opt

120

50

BE

TA

_X&

Y[m

]

DIS

P_X

&Y

[m]

BETA_X BETA_Y DISP_X DISP_Y


Muons, Inc.

Linac – tracking studies

EUROnu Jan. 2011

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


Muons, Inc.

Solenoid Model (Superfish)

EUROnu Jan. 2011

outer coil

inner coil

shield

2e

pc

22 2

edge z 0

-

1 k a= B (s) ds B L

2 8

e

pc 0k = B

‘Soft-edge’ Solenoid

21Ls

a

z 0

1B (s) = B tanh

2


Muons, Inc.

Two-cell cavity (201 MHz) – COMSOL

Morteza Aslaninejad

Cristian Bontoiu

Jürgen Pozimski

EUROnu Jan. 2011


Muons, Inc.

Linac-RLA Acceptance Initial phase-space after the cooling channel at 220

MeV/c ISS/IDS rms

A = (2.5)2

normalized emittance: x/y mmrad 4.8 30

longitudinal emittance: l

lp z/mc)

momentum spread: p/p

bunch length: z

mm

mm

24

0.07

165

150

0.17

412

x,y = 2.74 m

x,y = -0.356

= 2.08

20-20 X [cm] View at the lattice beginning

80

-80

X`[

mra

d]

40-40 S [cm] View at the lattice beginning

18

0-1

80

dP

/P *

10

00

,

EUROnu Jan. 2011


Muons, Inc.

EUROnu Jan. 2011



Linac Optics – Beam envelopes

1460

Thu Apr 08 13:54:52 2010 OptiM - MAIN: - C:\Working\IDS\PreLinac\Linac_sol.opt

300

300

Siz

e_X

[cm

]

Siz

e_Y

[cm

]

Ax_bet Ay_bet Ax_disp Ay_disp


Muons, Inc.

Linac Optics – OptiM vs ELEGANT

a = 19.5 cm

a = 19.5 cm

Yves Roblin

EUROnu Jan. 2011

1460


120

50

BE

TA

_X&

Y[m

]

DIS

P_X

&Y

[m]



Muons, Inc.

30-30 S [cm] View at the lattice end

15

0-1

50

dP

/P *

10

00

,


15

0-1

50

dP

/P *

10

00

,Longitudinal phase-space

tracking

Initial distribution

OptiM

ELEGANT

EUROnu Jan. 2011

Yves Roblin

Alex Bogacz

MATHCAD

MATLAB

Morteza Aslaninejad

Kevin Beard


Muons, Inc.

Cooling Channel – Linac Optics

EUROnu Jan. 2011

B||


Muons, Inc.

GPT Particle Tracking in the Linac

EUROnu Jan. 2011

upper middle linaccooling upper linac


Muons, Inc.

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

Linac and RLAs - ‘field map’ tracking

EUROnu Jan. 2011

TO DO NEXT:


Muons, Inc.

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

EUROnu Jan. 2011

36.91030

Wed Jun 11 13:14:37 2008 OptiM - MAIN: - D:\IDS\Linacs_short\Linac1_fudg.opt

15

0

3-3

BE

TA

_X&

Y[m

]

DIS

P_

X&

Y[m

]

BETA_X BETA_Y DISP_X DISP_Y 720

Wed Jun 11 14:08:34 2008 OptiM - MAIN: - D:\IDS\Arcs\Arc2_match.opt

15

0

3-3

BE

TA

_X&

Y[m

]

DIS

P_

X&

Y[m

]



Muons, Inc.

Linac-to-Arc Chromatic Corrections

30-30 X [cm] View at the lattice beginning

80

-80

X`[

mra

d]

30-30 X [cm] View at the lattice end

80

-80

X`[

mra

d]

30-30 X [cm] View at the lattice end

80

-80

X`[

mra

d]

initial uncorrected two families of sextupoles

EUROnu Jan. 2011

36.91030

Wed Jun 11 13:14:37 2008 OptiM - MAIN: - D:\IDS\Linacs_short\Linac1_fudg.opt

15

0

3-3

BE

TA

_X

&Y

[m]

DIS

P_

X&

Y[m

]

BETA_X BETA_Y DISP_X DISP_Y 720

Wed Jun 11 14:08:34 2008 OptiM - MAIN: - D:\IDS\Arcs\Arc2_match.opt

15

0

3-3

BE

TA

_X

&Y

[m]

DIS

P_

X&

Y[m

]



Muons, Inc.

10 cells in2 cells out

2 cells out

footprint

-5000

-4000

-3000

-2000

-1000

0

1000

2000

3000

4000

5000

0 2000 4000 6000 8000 10000

z [cm]

x [cm]

(out = in and out = -in , matched to the linacs)

transition

transition

E =1.2 GeV

40-40 S [cm] View at the lattice end

30

0-3

00

dP

/P *

10

00

,


300

-300

dP/P

* 1

000,

Mirror-symmetric ‘Droplet’ Arc – Optics

EUROnu Jan. 2011

1300

Tue Jun 10 21:14:41 2008 OptiM - MAIN: - D:\IDS\Arcs\Arc1.opt

150

3-3

BE

TA

_X&

Y[m

]

DIS

P_X

&Y

[m]



Muons, Inc.

Multi-pass FFAG Arc

IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

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

COSY Infinity

Vasiliy Morozov

EUROnu Jan. 2011


Muons, Inc.IDS-NF 5-th Plenary Mtg. Fermilab, April 9, 2010

60

300

simple closing of geometrywhen using similar cells

Multi-pass FFAG Arc

r = 38.5 meters

C = 302 meters

Vasiliy Morozov

EUROnu Jan. 2011


Muons, Inc.

Proposed SDDS Exchange Format

EUROnu Jan. 2011

•ZGOUBI•ELEGANT•G4beamline•ICOOL•OptiM•COSY-Infinity•MAD-X•GPT•…

http://casa.jlab.org/external/2010/MuonAcceleration_MiniWorkshop/SDDS/draft.html

Kevin Beard


Muons, Inc.

Summary

EUROnu Jan. 2011

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?


Muons, Inc.

Recent Progresson the Linac and RLAs

Kevin B. Beard,Muons,Inc.

&Alex Bogacz, V.Morozov, Y.Roblin

Jefferson Lab

LEMC2009 workshop 8-12 Jun 2009

Recent Progress

on the Linac and RLAs


Muons, Inc.


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


Muons, Inc.Mini-workshop on Low Energy Muon Acceleration, CNU, February 2-5 , 2010

Linear Pre-accelerator – 244 MeV to 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

1460


12

0

50

BE

TA

_X

&Y

[m]

DIS

P_

X&

Y[m

]


5m3m 8m


Muons, Inc.


Sep 14, 2010

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)

•http://g4beamline.muonsinc.com


Muons, Inc.


Aug 31, 2010


Muons, Inc.Muons, Inc.


Sep 14, 2010

G4beamline input file z18.in...# The "default" physics list is QGSP_BERTphysics QGSP_BERT disable=Decay

###################### begin: common info #################################

# physical constants:param deg=3.14159/180.param muonmass=105.658param c_mm_nS=299.792...upperCryomodule $Zcryo1 $j1 $Toff1 $kill1upperCryomodule $Zcryo2 $j2 $Toff2 $kill2upperCryomodule $Zcryo3 $j3 $Toff3 $kill3upperCryomodule $Zcryo4 $j4 $Toff4 $kill4upperCryomodule $Zcryo5 $j5 $Toff5 $kill5upperCryomodule $Zcryo6 $j6 $Toff6 $kill6

middleCryomodule $Zcryo7 $j7 $Toff7 $kill7middleCryomodule $Zcryo8 $j8 $Toff8 $kill8middleCryomodule $Zcryo9 $j9 $Toff9 $kill9middleCryomodule $Zcryo10 $j10 $Toff10 $kill10middleCryomodule $Zcryo11 $j11 $Toff11 $kill11middleCryomodule $Zcryo12 $j12 $Toff12 $kill12middleCryomodule $Zcryo13 $j13 $Toff13 $kill13middleCryomodule $Zcryo14 $j14 $Toff14 $kill14

lowerCryomodule $Zcryo15 $j15 $Toff15a $Toff15b $kill15lowerCryomodule $Zcryo16 $j16 $Toff16a $Toff16b $kill16lowerCryomodule $Zcryo17 $j17 $Toff17a $Toff17b $kill17lowerCryomodule $Zcryo18 $j18 $Toff18a $Toff18b $kill18lowerCryomodule $Zcryo19 $j19 $Toff19a $Toff19b $kill19lowerCryomodule $Zcryo20 $j20 $Toff20a $Toff20b $kill20lowerCryomodule $Zcryo21 $j21 $Toff21a $Toff21b $kill21...

Only 534 non-comment lines, produces 244 virtual detectors, 25 cryomodules

center solenoid RF timing

beam stop




Sep 14, 2010

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




Aug 31, 2010

Ez

Ez


Muons, Inc.


Aug 31, 2010

phases from spreadsheet

phases partially adjusted


Muons, Inc.

Muons, Inc.


MAG, Jun 14, 2010

Comparison of GPT, OptiM, g4beamline

z[cm]

KE[MeV]

KE[MeV]

z[cm]

OptiM

G4beamline w/adj. φ's

G4beamlinew/OptiM's φ's

GPT




Sep 14, 2010

ET [MeV]

t[nS]22nS

800

0

Every 3rd solenoid (adjusted from oncrest)




Sep 14, 2010

GPT

G4beamline

z[m]

z[m]

y[m]


Muons, Inc.


Sep 14, 2010

lost




Sep 14, 2010

OptiM generated input

input t,Pz for acceptance

those that made it to the end inG4beamline


Muons, Inc.


Sep 14, 2010

~ oncrest

~ 1 synch period

Pz

t

Synchrotron motion

t




Sep 14, 2010

~ 1 synch period

~ oncrest

#m

∘RF

z[m]


Muons, Inc.


Documents

Alex Bogacz, Vasiliy Morozov, Yves Roblin, Jefferson Lab Kevin Beard, Muons Inc