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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 />

wakefield. Atomic Force Microscope measurements [63] of surface roughness gives results in<br />

agreement with the second case, p/δ = 500<br />

Figure 4.9 <strong>LCLS</strong> undulator wake potential including the resistive and roughness wakefields. The<br />

roughness wakefields include both the inductive model Eq. (4.31) and the synchronous<br />

mode Eq. (4.32), assuming a 1 nC electron bunch, a bump height of 100 nm, and a<br />

bump length of 5 µm (solid line) or 50 µm (dashed line). The resistive wall wakefield<br />

dominates the dashed curve. The head of the bunch is at the right hand side of the<br />

graph.<br />

Figure 4.10 Effect of wakefields on the temporal radiation power profile at the undulator exit:<br />

Dotted line: no wakefields; dashed line: “long bump case”; solid line: short “bump<br />

case”. The head of the bunch is at the right hand side of the graph. The simulation<br />

includes micro-tapering to offset the energy loss from spontaneous radiation.<br />

F E L P H Y S I C S♦ 4-21

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