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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 />

∆ε x,y /ε 0<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

20 40 60 80 100 120<br />

∆ψ /cell<br />

x,y<br />

Figure 7.15 Relative mean emittance growth (x and y) versus phase advance/cell for L2 over 10<br />

seeds (solid-red: wakes ON, dash-blue: wakes OFF). Points with slight left-offset are x<br />

and right-offset are y. Quadrupole, BPM, and rf-structure misalignments of 300 µm rms<br />

are used and one-to-one steering (no ‘bumps’ applied). Error bars show statistical error<br />

on mean value over 10 seeds.<br />

β (m)<br />

K21_3B<br />

Q21401<br />

K21_4A<br />

Q21501<br />

K21_5A<br />

Q21601<br />

K21_6A<br />

Q21701<br />

K21_7A<br />

Q21801<br />

K21_8A<br />

Q21901<br />

K22_1A<br />

Q22201<br />

K22_2A<br />

Q22301<br />

K22_3A<br />

Q22401<br />

K22_4A<br />

Q22501<br />

K22_5A<br />

Q22601<br />

K22_6A<br />

Q22701<br />

K22_7A<br />

Q22801<br />

K22_8A<br />

Q22901<br />

K23_1A<br />

Q23201<br />

K23_2A<br />

Q23301<br />

K23_3A<br />

Q23401<br />

K23_4A<br />

Q23501<br />

K23_5A<br />

Q23601<br />

K23_6A<br />

Q23701<br />

K23_7A<br />

Q23801<br />

K23_8A<br />

Q23901<br />

K24_1A<br />

Q24201<br />

K24_2A<br />

Q24301<br />

K24_3A<br />

Q24401<br />

K24_4A<br />

Q24501<br />

K24_5A<br />

Q24601<br />

K24_6A<br />

Q24701<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

50 100 150 200<br />

S (m)<br />

250 300 350<br />

Figure 7.16 Beta functions along L2 at 55°/cell phase advance and 12-meter quadrupole spacing.<br />

Small circles in schematic at top indicate profile monitors (wire-scanners) for emittance<br />

measurement at the end of L2 (L2-ED).<br />

β<br />

x<br />

β<br />

y<br />

Using Liar to study emittance correction schemes, it was found that even though the L2<br />

emittance growth (not including CSR in the chicanes) can easily reach 50%, localized trajectory<br />

‘bumps’ can be used to restore the emittance to just 5-10% dilution. Figure 7.15 shows emittance<br />

dilution, with trajectory corrections but no emittance corrections applied, versus phase advance<br />

per cell for the existing 12-meter quadrupole spacing over the length of L2. The minimum<br />

emittance growth occurs above 90°/cell. The mean growth at 90˚/cell is ~30% in each plane if no<br />

A C C E L E R A T O R ♦ 7-31

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