Alex Bogacz
description
Transcript of Alex Bogacz
![Page 1: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/1.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 1
Alex Bogacz
Recirculating Linac
Acceleration End-to-end
Simulation
NuFact'09, Chicago, IL, July 24, 2009
![Page 2: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/2.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 2
Linac and RLAs - Goals
0.6 GeV/pass3.6 GeV
0.9 GeV244 MeV
146 m
79 m
2 GeV/pass
264 m
12.6 GeV
NuFact'09, Chicago, IL, July 24, 2009
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
![Page 3: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/3.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 3
RLA Acceleration - 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)
NuFact'09, Chicago, IL, July 24, 2009
![Page 4: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/4.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 4
Linac-RLA Acceptance
NuFact'09, Chicago, IL, July 24, 2009
Initial phase-space after the cooling channel at 220 MeV/c
ISS/IDS rmsA = (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
,
![Page 5: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/5.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 5NuFact'09, Chicago, IL, July 24, 2009
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
Tue Feb 12 12:50:16 2008 OptiM - MAIN: - M:\casa\acc_phys\bogacz\IDS\PreLinac\Linac_sol.opt
30
0
30
0
Siz
e_
X[c
m]
Siz
e_
Y[c
m]
Ax_bet Ay_bet Ax_disp Ay_disp
Transverse acceptance (normalized): (2.5)2= 30 mm rad
Longitudinal acceptance: (2.5)2 pz/mc= 150 mm
![Page 6: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/6.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 6NuFact'09, Chicago, IL, July 24, 2009
‘Soft-edge’ Solenoid
Non-zero aperture - correction due to the finite length of the edge :
It introduces axially symmetric edge focusing at each solenoid end:
Hard edge solenoid:
22 2
edge z 0
-
1 k a= B (s) ds B L
2 80k = eB /pc
0 0
0
M edgeedge
edge
1 0 0 0
1 0 0=
1 0
0 1
sol
1 +cos(kL) sin(kL) sin(kL) 1 - cos(kL)
2 k 2 kk sin(kL) 1 +cos(kL) 1 - cos(kL) sin(kL)
k4 2 4 2=
sin(kL) 1 - cos(kL) 1 +cos(kL) sin(kL)
2 k 2 k1 - cos(kL) sin(kL) k sin(kL) 1 +cos(kL)
k4 2 4 2
M
a <<L
M M M Msoft sol edge sol edge=
a L
![Page 7: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/7.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 7NuFact'09, Chicago, IL, July 24, 2009
‘Soft-edge’ Solenoid – Nonlinear Effects
Nonlinear focusing term F ~ O(r2) follows from the scalar potential:
Solenoid B-fields
Nonlinear focusing included in particle tracking
(r,z) = 0 Bz zz
Bzd
d
2 z2 r24
2zBz
d
d
2
z 2 z2 3 r2 12
3zBz
d
d
3
8 z4 24 z2 r2 3 r4192
Bz(r,z) = Bz 2zBz
d
d
2
r2
4
Br(r,z) = r
2
zBz
d
d
r3
16 3zBz
d
d
3
![Page 8: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/8.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 8NuFact'09, Chicago, IL, July 24, 2009
Linear Pre-accelerator – 244 MeV to 909 MeV
1460
Tue Feb 12 12:50:16 2008 OptiM - MAIN: - M:\casa\acc_phys\bogacz\IDS\PreLinac\Linac_sol.opt
30
0
30
0
Siz
e_
X[c
m]
Siz
e_
Y[c
m]
Ax_bet Ay_bet Ax_disp Ay_disp
Transverse acceptance (normalized): (2.5)2= 30 mm rad
Longitudinal acceptance: (2.5)2 pz/mc= 150 mm
40-40 S [cm] View at the lattice end
18
0-1
80
dP
/P *
10
00
,
40-40 S [cm] View at the lattice beginning
18
0-1
80
dP
/P *
10
00
,
![Page 9: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/9.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 9
Multi-pass Linac Optics – Bisected Linac
1-pass, 1200-1800 MeV
‘half pass’ , 900-1200 MeV initial phase adv/cell 90 deg. scaling quads with energy
mirror symmetric quads in the linac
39.91030
Fri Jan 23 14:33:20 2009 OptiM - MAIN: - N:\bogacz\IDS\Linacs_bisect\Linac05.opt
15
0
50
BE
TA_
X&
Y[m
]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
78.91030
Fri Jan 23 14:56:30 2009 OptiM - MAIN: - N:\bogacz\IDS\Linacs_bisect\Linac1.opt
15
0
50
BE
TA
_X
&Y
[m]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
quad gradient
quad gradient
NuFact'09, Chicago, IL, July 24, 2009
![Page 10: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/10.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 10NuFact'09, Chicago, IL, July 24, 2009
Injection/Extraction Chicane
660
Tue Mar 18 13:50:11 2008 OptiM - MAIN: - D:\IDS\Arcs\double_chicane3.opt
20
0
0.5
-0.5
BE
TA_
X&
Y[m
]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
1.5 GeV
0.9 GeV
![Page 11: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/11.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 11
Pre-accelerator–Chicane–Linac Matching
216.9120
Wed Jun 11 00:32:07 2008 OptiM - MAIN: - D:\IDS\PreLinac\Linac_sol_chicane_1.opt
30
0
0.5
-0.5
BE
TA
_X
&Y
[m]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
= 2×10-5
NuFact'09, Chicago, IL, July 24, 2009
![Page 12: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/12.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 12NuFact'09, Chicago, IL, July 24, 2009
Pre-accelerator–Chicane–Linac Matching
216.9120
Wed Jun 11 00:32:07 2008 OptiM - MAIN: - D:\IDS\PreLinac\Linac_sol_chicane_1.opt
30
0
0.5
-0.5
BE
TA
_X
&Y
[m]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
= 2×10-5
8-8 X [cm] View at the lattice end
40
-40
X`[
mra
d]
![Page 13: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/13.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 13NuFact'09, Chicago, IL, July 24, 2009
Injection-to–Linac – Chromatic Corrections
8-8 X [cm] View at the lattice end
40
-40
X`[
mra
d]
8-8 X [cm] View at the lattice end
40
-40
X`[
mra
d]
8-8 X [cm] View at the lattice end
40
-40
X`[
mra
d]
uncorrected one family of sextupoles two families of sextupoles
660
Tue Mar 18 13:50:11 2008 OptiM - MAIN: - D:\IDS\Arcs\double_chicane3.opt
20
0
0.5
-0.5
BE
TA
_X
&Y
[m]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
[ / ] 0.2 0.03 50 0.3 [ / ]sext
pG kGauss cm S D kGauss cm
p
xy = 1800 xy = 1800xy = 1800 xy = 1800
![Page 14: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/14.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 14NuFact'09, Chicago, IL, July 24, 2009
Linac ½-to-Arc1 – Beta Match
E =1.2 GeV
720
Wed Jun 11 11:53:06 2008 OptiM - MAIN: - D:\IDS\Arcs\Arc1.opt
15
0
3-3
BE
TA
_X
&Y
[m]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
Already matched ‘by design’
900 phase adv/cell maintained across the ‘junction’
No chromatic corrections needed
36.91030
Fri Jan 23 15:20:37 2009 OptiM - MAIN: - N:\bogacz\IDS\Linacs_bisect\Linac05.opt
15
0
50
BE
TA_
X&
Y[m
]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
![Page 15: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/15.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 15NuFact'09, Chicago, IL, July 24, 2009
Linac1-to-Arc2 – Chromatic Compensation
E =1.8 GeV
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
]
BETA_X BETA_Y DISP_X DISP_Y
‘Matching quads’ are invoked
No 900 phase adv/cell maintained across the ‘junction’
Chromatic corrections needed – two pairs of sextupoles
36.91030
Wed Jun 11 13:14:37 2008 OptiM - MAIN: - D:\IDS\Linacs_short\Linac1_fudg.opt
150
3-3
BETA
_X&Y
[m]
DISP
_X&Y
[m]
BETA_X BETA_Y DISP_X DISP_Y
![Page 16: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/16.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 16NuFact'09, Chicago, IL, July 24, 2009
Linac1-to-Arc2 - 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
36.91030
Wed Jun 11 13:14:37 2008 OptiM - MAIN: - D:\IDS\Linacs_short\Linac1_fudg.opt
150
3-3
BETA
_X&Y
[m]
DISP
_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
]
BETA_X BETA_Y DISP_X DISP_Y
![Page 17: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/17.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 17NuFact'09, Chicago, IL, July 24, 2009
1300
Tue Jun 10 21:14:41 2008 OptiM - MAIN: - D:\IDS\Arcs\Arc1.opt
15
0
3-3
BE
TA_
X&
Y[m
]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
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
,
40-40 S [cm] View at the lattice beginning
300
-300
dP/P
* 1
000,
Mirror-symmetric ‘Droplet’ Arc – Optics
![Page 18: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/18.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 18
Adiabatic compression in the RLA off-crest acceleration in the
linac + non zero momentum compaction in the arcs (M56~6 m)
Longitudinal Compression in the RLA
20 0 200.9
1
Recirculator entrance
20 0 200.9
1
Arc1 exit
20 0 200.9
1
Arc2 exit
20 0 200.9
1
Arc3 exit
20 0 200.9
1
Arc4 exit
20 0 200.9
1
Recirculator exit
NuFact'09, Chicago, IL, July 24, 2009
![Page 19: Alex Bogacz](https://reader035.fdocument.pub/reader035/viewer/2022070408/56814406550346895db0996b/html5/thumbnails/19.jpg)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Alex Bogacz 19
Summary
Presently completed Lattices:
Pre-accelerator (244 MeV-0.9) + injection double chicane
RLA I (0.9-3.6 GeV) and RLA II (3.6-12.6 GeV)
4.5 pass linac
Droplet Arcs1-4
Chromaticity correction with sextupoles validated via tracking
Piece-wise end-to-end simulation with OptiM (transport code)
Solenoid linac
Injection chicane
RLA I
Still to do… end-to-end simulation with fringe fields (sol. & rf cav.)
NuFact'09, Chicago, IL, July 24, 2009