collider ring, interaction region – lattice design
DESCRIPTION
Collider Ring, Interaction Region – Lattice Design. Alex Bogacz. Collider Ring at 1.5 TeV CM – Parameters. Energy = 750 GeV Normalized emittance = 2 m m rad Relative momentum spread = 0.01 Dipole bending field = 10 Tesla Dipole bend radius = 250 m Number of cells = 12 4 = 48 - PowerPoint PPT PresentationTRANSCRIPT
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Collider Ring, Interaction Region – Lattice
Design
Alex Bogacz
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Energy = 750 GeV
Normalized emittance = 2 m rad
Relative momentum spread = 0.01
Dipole bending field = 10 Tesla
Dipole bend radius = 250 m
Number of cells = 124 = 48
Cell length = 40 m
Number of IRs = 4
IR straight length = 160 m
Circumference = 2880 m
Collider Ring at 1.5 TeV CM – Parameters
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Collider Ring layout
Collider Ring - footprint
-90000
-70000
-50000
-30000
-10000
10000
-40000 -20000 0 20000 40000 60000
z [cm]
x [cm]
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Periodic FODO cell – 135 deg. phase advance
Arc dipoles: $B=100; => 100 kGauss$E0=750000; => 750000 MeV$rho = 250 m
$Nin=4*12; => 48
$Ndip=8*$Nin; => 348
$Lcell=4000; => 40m
$ang=360/$Ndip; => 0.9375 deg.
$Lb=$PI*$Hr*$ang/(180*$B); => 409.4 cm
Arc quadrupoles:
L[cm]
G[kG/cm] 200 11.9
200 -11.9
400
Mon Dec 03 17:08:35 2007 OptiM - MAIN: - D:\Muon Collider\750GeV Ring\135deg cell_new\cell.opt
12
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7-7
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TA
_X
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DIS
P_
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BETA_X BETA_Y DISP_X DISP_Y 400
Mon Dec 03 17:09:05 2007 OptiM - MAIN: - D:\Muon Collider\750GeV Ring\135deg cell_new\cell.opt
0.5
0P
HA
SE
_X
&Y
Q_X Q_Y
phase adv./cell (x= 1350, y=1350)
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Achromatic Arc Optics – Minimum dispersion pattern
4 cells (4×1350 = 3×1800)
1600
Mon Dec 03 17:31:43 2007 OptiM - MAIN: - D:\Muon Collider\750GeV Ring\135deg cell_new\super_per.opt
12
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[m]
DIS
P_
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]
BETA_X BETA_Y DISP_X DISP_Y
1600
Mon Dec 03 17:36:44 2007 OptiM - MAIN: - D:\Muon Collider\750GeV Ring\135deg cell_new\spr.opt
12
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7-7
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_X
&Y
[m]
DIS
P_
X&
Y[m
]
BETA_X BETA_Y DISP_X DISP_Y
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Collider Ring Quadrant - Lattice
7200
Mon Dec 03 22:17:40 2007 OptiM - MAIN: - D:\Muon Collider\750GeV Ring\135deg cell_new\quadrant.opt
14
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_X
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DIS
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]
BETA_X BETA_Y DISP_X DISP_Y
Momentum compaction, = 0.00356
dip dip dip totxx x rad x rad
D sM ds D d D d D
3562 1.6
3 102880
mML m
10 cells
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Energy = 750 GeV
Number of IRs = 4
Peak Luminosity/IRI = 71034 s-1 cm-
2
Normalized emittance = 2 m rad
Relative momentum spread = 0.01
Betas at IR, *x,y = 5 mm
Final Focus Quad strength = 250
Tesla/m
Peak betas, maxx,y = 36/32 km
IR straight length = 160 m
Circumference = 2880 m
Interaction Region at 1.5 TeV CM – Parameters
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
13961
Wed Feb 14 11:10:33 2007 OptiM - MAIN: - D:\Muon Collider\IR\5mm\IR_sym.opt
40
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IR Linear lattice
xx* = 5 mmyy* = 5 mm
xxmax = 36,000 m
yymax = 32,000 m
8 m
2
2max * 2 max *
*
( )
,
tripltripl
ss
ff
13 m
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
13961
Wed Feb 14 11:10:33 2007 OptiM - MAIN: - D:\Muon Collider\IR\5mm\IR_sym.opt
40
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IR Final Focus Quads
xx* = 5 mmyy* = 5 mm
xxmax = 36,000 m
yymax = 32,000 m
8 m
13 m
Name L[cm] G[kG/cm]
DD1 290 -21.8FF 510 18.6DD2 290 -18.2
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
13961
Wed Feb 14 11:46:27 2007 OptiM - MAIN: - D:\Muon Collider\IR\5mm\IR_sym.opt
0.5
0
0.5
0
Siz
e_
X[c
m]
Siz
e_
Y[c
m]
Ax_bet Ay_bet Ax_disp Ay_disp
IR Beam envelopes (rms)
NN = 2.1 m rad
= 0.3 nm rad
8 m
13 m
xxmax = 36,000 m
yymax = 32,000 m
Peak Luminosity/IP 71034 s-1 cm-2
The maximum allowed by the tune shift limit.
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
xx* = 5 mmyy* = 5 mm
199.60
Wed Feb 14 10:20:07 2007 OptiM - MAIN: - D:\Muon Collider\IR\5mm\IR_sym.opt
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xxmax = 36,000 m
yymax = 32,000 m
doublet FODO
IR - matching to the Ring
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
199.60
Wed Feb 14 12:05:30 2007 OptiM - MAIN: - D:\Muon Collider\IR\5mm\IR_sym.opt
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doublet FODO
IR - matching to the Ring
Name L[cm] G[kG/cm]
F1 200 3.63 D1 200 14.1 F2 200 -13.2
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
doublet FODO
IR - matching to the Ring
Name L[cm] G[kG/cm]
F1 200 3.63 D1 200 14.1 F2 200 -13.2
199.60
Wed Feb 14 12:14:14 2007 OptiM - MAIN: - D:\Muon Collider\IR\5mm\IR_sym.opt
20
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Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Collider Ring Quadrant
7200
Mon Dec 03 22:17:40 2007 OptiM - MAIN: - D:\Muon Collider\750GeV Ring\135deg cell_new\quadrant.opt
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819.80
Tue Dec 04 01:01:00 2007 OptiM - MAIN: - D:\Muon Collider\750GeV Ring\135deg cell_new\IR_R_arc.opt
36
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Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Chromatic Aberrations and Mitigation schemes
Chromatic aberrations
beta chromaticity in the IR
natural chromaticity of the collider ring
Mitigation schemes
Chromaticity correction in the Arcs (two families of
sextupoles)
Sextupoles in the IR quads
Dynamic Aperture – octupoles in the IR quads
Localized Chromatic corrections outside the IR
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
7200
Mon Dec 03 22:17:40 2007 OptiM - MAIN: - D:\Muon Collider\750GeV Ring\135deg cell_new\quadrant.opt
14
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Cancellation of geometric aberrations generated by sextupoles through ‘pairing’ them with a minus identity
transformation between them
Natural Chromaticity Compensation with two families of Sextupoles
x = 3 1800 y = 3 1800
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
IR - beta chromaticity
xx* = 5 mmyy* = 5 mm
xxmax = 36,000 m
yymax = 32,000 m
p/p= 0.003
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Beta Chromaticity
IR beta functions strongly vary for off momentum particles
It is measured by the beta chromaticity functions:
or by is the so called ‘envelope’ dispersion
2 2
,
1,
,
xx x x
p x p
x xx p
x x x
a
b
w a b
Typical values of the w-functions ~ 100, need to be ~10
Could be corrected with sextupoles placed in the FF quads (not in a the Arcs) -
dispersion must be generated/controlled in IR
dipoles in the IR so that D = D ‘= 0 at the IP
dipoles outside the IR so that D = 0 but D ‘ 0 at the IP
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Chromatic Compensation Concepts (S. Derbenev)
Optimize the IR to provide the smallest beta star – no correcting multipoles
Use a long section of the beam extension/matching for the chromatic compensations (i.e. insertion of a Compensating Block (CB) before the IR).
Design a chicane (snake) CB with a special Optics (to introduce dispersion)
Design a symmetric quadrupole/sextupole lattice of the CB self-compensated for emittance and squared momentum spread parasitic effects of sextupoles
Compensation for higher order effects (spherical aberrations, the third order forces…)
Expansion of the s-Hamiltonian (2-nd, 3-rd, 4-th order terms)
Reduction of tuning equations
Compensation for aberrations with multipoles
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Chromatic Compensation Block Prototype
17.620
Mon Sep 24 08:55:05 2007 OptiM - MAIN: - D:\SBIR\chicane\jog_NP.opt
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L R R L
4.810
Mon Sep 24 09:33:19 2007 OptiM - MAIN: - D:\SBIR\chicane\straight.opt
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Mon Sep 24 08:44:53 2007 OptiM - MAIN: - D:\SBIR\chicane\jog_PN.opt
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Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Chromatic Compensation with Sextupoles
0.1 0.05 0 0.05 0.110
0
10
20
DeltaP/P
x [c
m]
p1 p2
0.05 0 0.0510
0
10
20
DeltaP/Px
[cm
]
p1 p2
0.1 0.05 0 0.05 0.10.04
0.02
0
0.02
DeltaP/P
x ' [
cm]
p1 p2
0.05 0 0.05
0.02
0
DeltaP/P
x ' [
cm]
p1 p2
0.1 0.05 0 0.05 0.120
10
0
10
DeltaP/P
s [c
m]
p1 p2
0.05 0 0.0520
10
0
10
DeltaP/P
s [c
m]
p1 p2
Dispersion
Dispersion-prime
M56
correction with 3 sextupole familiesno sextupole corrections
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Dynamic Aperture Considerations
Large cross-detuning makes the dynamic aperture small – octupole
corrections may be necessary
Due to larger dispersion at IR sextupoles the requires sextupole
gradient is lower reducing adverse 2nd order effects
The 2nd order dispersion will be corrected with sextupoles in the
matching section/Arcs
Operated by JSA for the U.S. Department of Energy
Thomas Jefferson National Accelerator Facility
Muon Collider Design Workshop, BNL, Dec. 3-7, 2007
Neutrino Factory – Facility Overview, Alex Bogacz
Summary
Proposed Optics design for the Collider Ring and IR - Linear Lattice
Periodic dispersion achromat arcs
Natural chromaticity compensation with 2 families of orthogonal sextupoles
Compact matching from IR to the arcs
Uniform focusing periodicity
Ring parameters:
Energy = 750 GeV
Total Length=2880 m
Tunes: Qx=13.8043 Qy=10.2107
Chromaticity: nuxp=-4011.85 nuyp=-2393.76
Momentum compaction=0.003
p/p= 0.01