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LCLS Conceptual Design Report - Stanford Synchrotron Radiation ...

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L C L S C O N C E P T U A L D E S I G N R E P O R T<br />

Table 8.12 Initial launch conditions at undulator entrance before and after step-1, Table 8.11<br />

correction.<br />

Launch parameter Before Step-1, Table 8.11 After Step-1, Table 8.11<br />

〈x〉 310 µm 14 µm<br />

〈x’〉 14 µrad 3.5 µrad<br />

〈y〉 250 µm 13 µm<br />

〈y’〉 17 µrad −1.7 µrad<br />

Step-2, Table 8.11, involves a weighted steering procedure using the undulator quadrupole<br />

magnet movers where the absolute readings of the BPMs are minimized with respect to a 50 µm<br />

weighting and the applied magnet mover changes are simultaneously minimized with respect to a<br />

50 µm weighting. Without this weighting the magnet movers can move by up to ~1 mm in order<br />

to exactly zero each BPM reading which, due to the large BPM offsets, is an unnecessary and<br />

undesirable steering accuracy at this early stage. With the weighting included, the movers change<br />

by ~50 µm, which is sufficient to correct the large trajectory deviations of Figure 8.43. Figure<br />

8.44 shows the trajectory after the step-2 weighted steering is applied. This step simply improves<br />

the trajectory before the energy is changed.<br />

X/µm<br />

Y/µm<br />

1000<br />

500<br />

0<br />

−500<br />

〈X 2 〉 1/2 = 162.96 µm<br />

−1000<br />

0 20 40 60 80 100 120<br />

1000<br />

500<br />

0<br />

−500<br />

〈Y 2 〉 1/2 = 73.17 µm<br />

−1000<br />

0 20 40 60 80 100 120<br />

S/m<br />

Figure 8.44 Trajectory (blue-solid) at 14.3 GeV after application of step-2, Table 8.11, weighted<br />

steering. BPM readbacks (green-circle) and applied magnet mover changes are both<br />

minimized with respect to a 50 µm weighting. The post-steering quadrupole positions<br />

(red-cross) are also shown. These BPM readings are saved for analysis.<br />

These 14.3-GeV BPM data are saved and the energy is then lowered to 10 GeV by switching<br />

off half of the klystrons in linac-3. The fields of the magnets upstream of the undulator are scaled<br />

to the new energy and any beam position differences upstream of the undulator, with respect to<br />

U N D U L A T O R ♦ 8-81

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