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12.2 Adapting simulation parameters to fit reference path

The radii of the four dipole magnets habe been manually adapted to fit the geometry of the dogleg. The focus has been on introducing an $x$-offset of respectively $0.333$m and $-0.333$m after the first and second set of two dipoles, and keeping a beamline parallel to the $z$-axis on both sides of these two dipoles sets. Table 12.1 references the values used to obtained the desired reference path. Figure 12.3 represents the simulated reference path, with the exact geometry of the four dipoles. On figure 12.4, the deflection angle $\arctan\frac{dx'}{dz})$ , is plotted along the trajectory. The deflection angle is $\alpha=17.36$$^\circ$instead of the value 18$^\circ$expected by the designed geometry.

Table 12.1: Dipole radii needed by astra to fit the compressor geometry

	Dipole 1	Dipole 2	Dipole 3	Dipole 4
Radius $\rho$ [m]	0.64	-0.64	-0.64	0.64

Figure 12.3: Reference path through the four dipoles of the compressor

Figure 12.4: Deflection angle along the trajectory in the compressor

Emmanuel Branlard
http://emmanuel.branlard.free.fr/