Download - Optics and magnetic field calculation for the Hall D Tagger Guangliang Yang Glasgow University
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Optics and magnetic field calculation for the Hall D Tagger
Guangliang YangGlasgow University
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Main beam energy: 12 GeV.Bending angle: 13.4 degrees.Object distance: 3 m.Total focal plane length: 10.3 m.
Two identical dipole magnets:Magnet length : 3.11 m.Field: 1.5 T.
Focal plane(red: without quadrupole, Blue: with a quadrupole.)Lower part from 1-4.3 GeV electron energy.Length ~4m.
Upper part from 4.3-9 GeV electron energy.Length: ~6 m.
Edge angles:At first magnet, entrance edge: 5.9 degrees.At second magnet, exit edge ~ 6.6 degrees.
Quadrupole magnet:Length 0.5m.Field gradient: -0.47 KGs/cm.
Red – without quad.
Blue – with quad.
12 GeV Tagger Design - 2 identical magnets.
Transport result
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Two identical magnets tagger with and without quadrupole (Transport calculation).
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Two identical magnets tagger with and without quadrupole (Transport calculation).
Beta is the angle between an outgoing electron trajectory and the focal plane.
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Magnetic field calculated by using Opera 3D, version 10.025.
Mesh used by Tosca for magnetic field calculation .
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2 D magnetic field histogram calculated by TOSCA.
Magnetic field along a line perpendicular to the magnet output edge.
TOSCA Magnetic Field Calculation.
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Magnetic field along electron beam trajectory (1GeV).
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Magnetic field along electron beam trajectory (8 GeV).
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Magnetic field along electron beam trajectories between 3.9 and 5.0 GeV.
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Electron beam trajectories – using 81 trajectory ray bundles.
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Electron beam trajectories - central ray only.
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Calculated electron trajectories (81 per ray bundle).
Beam trajectories calculated from TOSCA in the mid plane for 3 GeV and 8 GeV. Those trajectories having the same direction focus on position 1, and those trajectories having the same starting position focus on position 2. ( Electrons travelling in the direction shown by the top arrow ).
Electron trajectory bundles according to their directions at the object position.
(3 GeV) (8 GeV)
1 21
2
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ObjectImage
Sketch showing the two focusing positions
Position 1
Position 2
Lens
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Beam trajectories calculated by TOSCA in a vertical plane for 3 GeV electron beam.
Exit edge
Exit edge
Focal plane
Focal plane
Without quadrupole With quadrupole
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The intersections of the beam trajectories with the plane through the focusing point and perpendicular to the beam , the red line shows the beam spot profile .
TOSCA calculation of the beam spot profile at the focal plane.
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• Electron trajectories have been calculated using Opera 3 D post processor.
• By using the calculated electron trajectories, beam spot size, and focal plane position have been determined.
Comparison of focal planes calculated using Transport and Tosca – results are almost identical.
Tosca.
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Comparison of optical properties calculated using Transport and Tosca.
Resolution. Half vertical height.
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Detector positions
Red line indicates the focal plane position calculated by using Transport. (From 1 GeV to 9 GeV)
Main beam
Magnet 1Magnet 1
Photon beam
Straight thin window flange
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Comparison of optical properties along the Point to Point and the Straight line focal planes (without quadrupole).
Resolution. Half vertical height.
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Comparison of optical properties along the Point to Point and the Straight line focal planes (with quadrupole).
Resolution. Half vertical height.
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Part 5. Effects of positioning error. • The effects of positioning error on the Tagger optics are simulated by
using Opera 3 D. In these calculations, the second magnet is intentionally put in a wrong position.
• various positioning errors have been investigated:
1. the second magnet is moved up or down 2 mm along a straight line parallel to the first magnet long exit edge.
2. the second magnet is moved right or left 2 mm along a straight line perpendicular to the first magnet long exit edge.
3. the second magnet is rotate around the bottom right corner of the second magnet at a angle of 0.1 degree or -0.1degree.
• It has been found that the Tagger optical properties are insensitive to the positioning error.
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Effects of the second magnet positioning error on the tagger optical properties.
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Effects of the second magnet positioning error on the tagger optical properties.
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Effects of the second magnet positioning error on the tagger optical properties.
Dispersion along the straight line focal plane (cacualted by using Tosca)
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Effects of the second magnet positioning error on the tagger optical properties.
Energy calibration error( relative to the properly positioned Tagger)
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Electron beam trajectories – using 81 trajectory ray bundles.
Electron trajectories from 4.1 to 4.8 GeV (Red line shows the straight line focal plane position.)
(T +2mm)
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Z-component of stray field at focal plane position.
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Component of stray field normal to z-direction at focal plane position.