1 M. Popovic NFMC Collaboration Meeting IIT Muon (Pre)Acceleration for 8 GeV Proton Driver Linac Milorad Popovic FNAL 14-March.

1M. Popovic

NFMC Collaboration Meeting IIT

Muon (Pre)Acceleration for

8 GeV Proton Driver Linac

Milorad Popovichttp://www-popovic.fnal.gov/

FNAL14-March 2006

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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

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SC H- Linac from 1.2 to 8GeV

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Linac +Return Arcs

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25mm-mrad Norm RMS

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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.

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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

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FODO CELL

Cell Length =2*271cm, Magnet Length =35cmQuad Gradient from 100 to 200 Gauss/cm

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X,Y, Phys Beam Envelopes

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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

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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

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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

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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

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FESS Favorite Proton Linac Site

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8 GeV Linac

MainInjector@2 MW

600MeV

1.2GeV

8GeV

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Study II, Cost Estimates

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NuFact05, Frascati

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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

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Arc Lattice, Disp~0.0

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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

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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

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One Cryo Module

)sin(

)2/sin(1max

L )cos( y

)sin(

)2/sin(1max

L

cm

Pn

0

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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

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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

)

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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.

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Booster Like Storage Ring & Arks

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Cell with Injection

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Beta=0.81, Drift, Beta=1

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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