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1M. Popovic
NFMC Collaboration Meeting IIT
Muon (Pre)Acceleration for
8 GeV Proton Driver Linac
Milorad Popovichttp://www-popovic.fnal.gov/
FNAL14-March 2006
2M. Popovic
Initial: 0.5 MW Linac Beam Power (BASELINE)8.3 mA x 3 msec x 2.5 Hz x 8 GeV = 0.5 MW Twelve Klystrons Required
Ultimate: 2 MW Linac Beam Power25 mA x 1 msec x 10 Hz x 8 GeV = 2.0 MW 33 Klystrons Required
Either Option Supports: 1.5E14 protons/pulseUsing Main Injector or Recycler as storage ringAssuming 1% Muon collection, there will be 25mA 10 uSMuon pulse that 7 GeV Linac can accelerate
Two Design Points for 8 GeV Linac
6M. Popovic
Paper from Linac2000
XX International Linac Conference, Monterey, California
2GeV SUPERCONDUCTING MUON LINAC
Milorad Popovic
Fermi National Accelerator Laboratory
Batavia, IL 60510, USA
Abstract
A muon collider as well as a neutrino factory requires a large number of muons with a kinetic energy of 50GeV or more. Muon survival demands a high gradient linac. The large transverse and longitudinal emittance of the muon beam coming from a muon cooling system implies the need for a large acceptance, acceleration system. These two requirements point clearly to a linac based on superconducting technology. The design of a 2GeV Superconducting muon Linac based on computer programs developed at LANL will be presented. The design is based on the technology available today or components that will be available in the very near future.
7M. Popovic
325MHz 3-Cell SCavity
Cavity R=45cm, Bore R=20cm, External pipe 40cm Energy Gain 21 MeV/Cavity
Phase Ramp from -40 to -5 Degree
8M. Popovic
FODO CELL
Cell Length =2*271cm, Magnet Length =35cmQuad Gradient from 100 to 200 Gauss/cm
10M. Popovic
Transverse Emittance
•Study II, Transverse Beam Emittance, 3mm, 1, Normalized 3000 mm-mrad Beam size; 200mrad, 10mm, @ 200MeV/c
•Muons Inc, Transverse Beam Emittance, 3 mm-mrad, 2, Normalized Beam size; 2mrad, 1mm, @ 200MeV/c
This is really acceptance of the channel, emittance should be specified after energy is known.
Cryo module, ~5 meters, 325MHzu(degree) 74L(meters) 5.4BetaMax(meter) 9.00CavityBore(meter) 0.2EmitGeo(mm-mrad) 4445.24
11M. Popovic
Emittances, Parmila
cell ngood plane emittance (cm-mrad),(deg-MeV) alpha beta(u) rms(u) max 100% 90% rms(n) (cm/mrad), x or y x or y deg/MeV) (cm) (cm)
Input Beam 0 10000 x-xp 702.90313 542.81085 134.44371 -0.00159 0.150000 3.4641 7.6438 y-yp 699.41044 536.46265 134.43337 0.28745 0.804460 8.0220 17.8884 phi-w 264.30970 202.06476 49.99906 0.00635 2.50005711.1804 0.0000
Out Beam 130 10000 x-xp 918.97732 562.67982 137.82525 -0.11259 1.710652 4.7150 11.7815 y-yp 798.94995 536.80035 134.96394 -0.03086 1.221081 3.9420 9.0929 phi-w 318.41574 205.29719 50.75104 0.07731 0.476035 4.9152 0.0000
12M. Popovic
Input & Output Beam, Parmila
x-y phi-W
Beam Out of First Cavity
x-x’ y-y’
Output Beam
x-x’ y-y’
x-y phi-W
13M. Popovic
Transverse Emittance
•Study II, Transverse Beam Emittance, 3mm, 1, Normalized 3000 mm-mrad Beam size; 200mrad, 10mm, @ 200MeV/c
•Muons Inc, Transverse Beam Emittance, 3 mm-mrad, 2, Normalized Beam size; 2mrad, 1mm, @ 200MeV/c
This is really acceptance of the channel, emittance should be specified after energy is known.
For the Cryo module as it is now, 12meters, 1.3GHz
u(degree) 74.00L(meters) 24.00BetaMax(meter) 39.99CavityBore(meter) 0.04EmitGeo(mm-mrad) 30.63
18M. Popovic
Recirculation, 21GeV Muons Linac Beta=1 is 36*14=504 meters~1.7us Pick Current <= 45 mA 1012 Muons in 3.5usec pulse, 1.3GHz Second Linac in Return Line in Future Arks are R~50 meters Lattice is FODO like in Linac
20M. Popovic
B. Foster’s Numbers
0 10,000 20,000 30,000 40,000 50,000 60,000
Cryomodules
Civil Construction
RF Distribution
Project Management
Modulators & Pulse Transformers
Electronics
Klystrons
Front End & DTL (without RF)
Cryogenics
Transfer Line, Injection, & Dump
Cost ($k) w/o Contingency
Total:Proton Linac, 8GeV $361M
21M. Popovic
Linac
β=1 β=1 β=1 β=1 β=1
Modulator
β=1 β=1 β=1 β=1
Modulator
36 Cavites / Klystron
8 Klystrons288 Cavities in 36 Cryomodules 1300 MHz β=1
β=1 β=1 β=1 β=1 β=1
Modulator
β=1 β=1 β=1 β=1
Modulator
β=1 β=1 β=1 β=1 β=1
Modulator
β=1 β=1 β=1 β=1
Modulator
β=1 β=1 β=1 β=1 β=1
Modulator
β=1 β=1 β=1 β=1
Modulator
10 MWTESLA
Klystrons
23M. Popovic
8 GeV Superconducting LinacWith X-Ray FEL, 8 GeV Neutrino & Spallation Sources, LC and Neutrino Factory
~ 700m Active Length8 GeV Linac
X-RAY FEL LAB8 GeVneutrino
MainInjector@2 MW
Anti-Proton
SY-120Fixed-Target
Neutrino“Super- Beams”
NUMI
Off- Axis
& Long-Pulse Spallation Source?
Neutrino Target
Neutrinosto “Homestake”
Short Baseline Detector Array
Target and Muon Cooling Channel
Bunching Ring
RecirculatingLinac for Neutrino Factory
VLHC at Fermilab
Damping Ringsfor TESLA @ FNALWith 8 GeV e+ Preacc.
1% LC Systems Test
24M. Popovic
Extra
Muon Survival in Linac
0.9
0.92
0.94
0.96
0.98
1
0 500 1000 1500 2000Energy(GeV)
Mu
on
Cell Phase per Cavity
-80
-70
-60
-50
-40
-30
-20
-10
0
0 500 1000 1500 2000
Energy(MeV)
Ph
as
e(d
eg
ree
)
25M. Popovic
Extra
Mu Acc 200MHz beta=0.9 Singlet lattice
-30.0
0.
30.0
1 134 267 400
x (cm) vs. cell no.
-30.0
0.
30.0
1 134 267 400
y (cm) vs. cell no.
-40.0
0.
40.0
1 134 267 400
phi-phis (deg) vs. cell no.
29M. Popovic
Pillbox Cavity
Eo(MV/m) F(MHz) StorEnCav(J) Np(10^10) BncEng(J) 1trn/67b Ploss1c(W) Q Ftime1c(us)
20 163 617.235 4.4 0.081 5.408 45.747 1.4E+10 1113.634
20 325 77.869 4.4 0.040 2.712 5.771 2.8E+10 131.042
20 650 9.734 4.4 0.020 1.356 0.721 5.5E+10 16.242
25 1300 1.901 4.4 0.013 0.848 0.141 1.1E+11 3.169
Resistivity 1.E-08 Coupler(kW) 600.0
320
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4U Joul E MV m m
U_bunch[Joul]=5[m]*Eo[MV/m]*Nb[1010]*10-4