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LCLS Conceptual Design Report - Stanford Synchrotron Radiation ...

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〈(∆E/E 0 ) 2 〉 1/2 [%]<br />

γε x [µm]<br />

0.04<br />

0.02<br />

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 />

CSR−induced rms energy spread accumulated<br />

0<br />

0 5 10 15 20 25 30 35<br />

1<br />

0.5<br />

Bend−plane normalized emittance<br />

0<br />

0 5 10 15 20 25 30 35<br />

S /m<br />

Figure 7.37 Additional rms energy spread induced by CSR (top) and the normalized horizontal<br />

emittance (bottom) along the DL2 bend system (1 st bend to 3 meters after 4 th bend).<br />

(∆E/E 0 ) CSR [%]<br />

CSR−induced Energy Gradient<br />

0.1<br />

0<br />

−0.1<br />

−0.2<br />

−0.04 −0.02 0<br />

s /mm<br />

0.02 0.04<br />

Figure 7.38 CSR-wakefield energy gradient along the bunch generated within DL2 bend system.<br />

The total accumulated CSR-wakefield energy gradient along the bunch generated within the<br />

DL2 bend system is shown in Figure 7.38. The emittance growth and energy spread is<br />

concentrated at bunch head and tail and has little effect on beam parameters sliced on the scale of<br />

A C C E L E R A T O R ♦ 7-63

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