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Use of TOFs for Beam measurement

Use of TOFs for Beam measurement. Analysis workshop, RAL 4 September 2008 Mark Rayner. Early beam diagnostics with the TOFs: For each muon…. Use timing measurements at TOF0 and TOF1 to measure momentum Sigma P = x MeV/c [CM21] Given knowledge of… Quad geometry and currents

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Use of TOFs for Beam measurement

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  1. Use of TOFs for Beam measurement Analysis workshop, RAL 4 September 2008 Mark Rayner Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 1

  2. Early beam diagnostics with the TOFs: For each muon… • Use timing measurements at TOF0 and TOF1 to measure momentum • Sigma P = x MeV/c [CM21] • Given knowledge of… • Quad geometry and currents • Beam line geometry • Muon momentum • …predict the transfer matrix for the muon between TOF0 and TOF1 • Use a field map, and multiply together slice matrices • Use TOF position measurements and the transfer matrix to deduce x’ and y’ • Test this in G4MICE first of all using Monte Carlo truth positions… • …then using detector response simulation positions • Finally, create a phase plane with these (x, x’) measurements and measure the emittance, and other optical parameters Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 2

  3. TOF0TOF1 transfer matrix as a function of momentum: • Units: metres and MeV/c • Two lines • Red-solid: FDF plane • Blue-dashed: DFD plane Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 3

  4. TOF0TOF1 transfer matrix as a function of momentum: • Units: metres and MeV/c • Two lines • Red-solid: FDF plane • Blue-dashed: DFD plane Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 4

  5. QuadTypeQC-FieldMap effective length Bx [Tesla] y=25cm y=20cm y=15cm y=10cm y=5cm z [m] • Effective Length = S g Dz / g(z=0) • At y=5cm, leff = 0.666m • At y=10cm, leff = 0.662m • At y=15cm, leff = 0.662m • At y=20cm, leff = 0.661m • At y=25cm, leff = 0.662m y 17.82 cm l x 23.6 cm Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 5

  6. H. Wiedemann Particle Accelerator Physics 1 Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 6

  7. Matrix elements Focussing plane Defocussing plane Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 7

  8. Effective parameters Focussing plane Defocussing plane Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 8

  9. Extra slides Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 9

  10. ~250 MeV/c realistic muon beam G4MICE What is ? MeV/c muon photon electron Cherenkov TOF1 (Inside cage to shield from tracker solenoid fringe fields) Quadrupole triplet Tracker solenoid TOF0 pair using truth – true pz before TOF0 pair using truth – true pz after TOF1 pair using recon. – true pz before TOF0 pair using recon. – true pz after TOF1 Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 10

  11. G4MICE quad fields – transverse plane 17.82 cm 23.6 cm Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 11

  12. TOF 0  TOF 1 PDG calculations Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 12

  13. Beam line parameters table from Kevin Q35 dimensions: Pole tip radius (the radial distance between the central axis of the quadrupole and its pole tip) 17.82 cm Vertical ½ aperture 23.6 cm, Horizontal ½ aperture 23.6 cm Mark Rayner, Analysis meeting 9 September ‘08: Use of TOFs for Beam measurement, slide 13

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