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Subsections


15.2 Geometry

15.2.1 Coordinates of the principal elements

Please refer to annex D for the coorinates of the beam line at a0.

15.2.2 Dogleg lattice coordinates

Figure 15.1 displays the coordinates of the dogleg at a0, thanks to Bruce Popper (Fermilab)
Figure 15.1: Dipoles hard edge coordinates for A0 emittance exchange lattice
Image geom-A0dogleg-schema

Table 15.2 reference the coordinates of the dipoles where the origin is taken at the entrance of the first dipole. See figure 3 for convention of notations. The column $ x$ and $ z$ corresponds to the real geometry(cf figure 15.1) expressed with respect to the entrance point in the first dipole. Nevertheless, Astra will refuse this geometry as it induces a fringe field overlapping inside the dipole. To avoid this we will have to shorten the height of the two trapezoidal magnets. The results from this operation correspond to column 3 and 4. The first dipole being at $ z=5808.80$mm, we write the final coordinates with respect to the cathod in the last column of the table.


Table 15.2: Dipoles hard edge coordinates in mm for A0 emittance exchange lattice
Point x z x+dx z+dz x+dx z+dz+z$ _0$
D11 -71.66 -19.20     -71.66 5808.80
D21 131.54 35.25 111.54 29.89 111.54 5857.89
D31 -71.66 260.14     -71.66 6088.14
D41 131.54 205.69 111.54 211.05 111.54 6039.05
I1 0.00 0.00     0.00 5828.00
O1 45.67 228.70     45.67 6056.70
D21 159.61 846.01     159.61 6674.01
D22 413.61 779.66     413.61 6607.66
D32 159.61 1084.91     159.61 6912.91
D42 413.61 1018.55     413.61 6846.55
I2 287.19 811.82     287.19 6639.82
O2 333.33 1040.06     333.33 6868.06
D13 261.20 2349.54     261.20 8177.54
D23 512.20 2283.18     512.20 8111.18
D33 261.20 2588.44     261.20 8416.44
D43 512.20 2522.08     512.20 8350.08
I3 333.33 2330.21     333.33 8158.21
O3 378.11 2558.81     378.11 8386.81
D14 533.87 3164.93 553.87 3159.57 553.87 8987.57
D24 737.07 3110.48     737.07 8938.48
D34 533.87 3335.37 553.87 3340.73 553.87 9168.73
D44 737.07 3389.82     737.07 9217.82
I4 620.20 3141.80     620.20 8969.80
O4 666.65 3370.80     666.65 9198.80









Emmanuel Branlard