Injection in a lattice with errors and correction system

 

The following step would be to check the tolerance of the proposed injection system to the effect of errors and correction system in the storage ring. In order to do that, we will repeat the simulation in a lattice with the standard set of errors and correction system (as defined in [3]), for the standard error seed (123). This seed provides an average value of the effect of the errors. The rms value of the different kinds of errors included in the simulation are:

• Alignment error of the elements in the girder: 50$\mu$m.
• Alignment error of the girders: 300$\mu$m.
• Alignment error of the girder joints: 100$\mu$m.
• Girder roll angle: 25$\mu$rad.
• Element roll angle in girder: 100$\mu$rad.

Figures 6 to 11 show the injection scenario for the case considered. The situation in the horizontal plane is almost identical to the previous case. In the vertical plane, the existence of errors couples the horizontal motion into the vertical plane, given rise to a vertical motion. However, the motion is limited to a range of $\pm$ 1.5 mm, well inside the vacuum chamber (even in the small gap undulator section).

  

Figure 6: Bumped orbit for the lattice with errors and correction system.

  

Figure 7: Horizontal orbit of the injected particle for the firsts 5 turns with errors and correction system.

  

Figure 8: Vertical orbit of the injected particle for the firsts 5 turns with errors and correction system.

  

Figure 9: Evolution of the injected beam ellipse at the exit of the septum, for the lattice with errors and correction system.

  

Figure 10: Evolution of the injected beam in the horizontal phase space for a damping time, for the lattice with errors and correction system.

  

Figure 11: Evolution of the injected beam in the vertical phase space for a damping time, for the lattice with errors and correction system.