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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 />

7.34 shows the temporal distribution of the bunch and the CSR-wakefield, from Eq. (7.19),<br />

within the first bend of DL1, using the temporal distribution taken from upstream tracking.<br />

Figure 7.34 Constant temporal distribution of bunch (solid: “LinearDensity”) and CSR-wakefield<br />

(dots: “DeltaGamma”) within first bend of DL1. The variable color traces represent the<br />

two functions sampled in each of ten points along the bend magnet.<br />

The variable color traces represent the two functions sampled in each of ten points along the bend<br />

magnet. The temporal distribution is nearly constant over the DL1 bend system due to the small<br />

energy spread and near-isochronicity of the beamline. The projected emittance growth due to<br />

CSR across DL1 bends is small at ~1%.<br />

7.5.1.4 Beam Size, Aperture, and Field Quality<br />

The horizontal beam sizes in DL1 reach peak values of ~100 µm and the sagitta in the bends<br />

is 7.6 mm. A 2.5-cm full aperture in the bends is, therefore, adequate. The large dispersion in the<br />

DL1 field lens quadrupole, QB, and the strong bends set the tolerances on field quality. Table<br />

7.18 lists dipole field sensitivities in DL1.<br />

Although the dipoles will be powered in series, their fields may differ slightly due to<br />

construction errors. These differences are correctable with trim coils or steering magnets. With<br />

the two bend magnets powered in series, the current regulation tolerance is not difficult to meet,<br />

at 0.04% rms. This tolerance is set by the path length error induced by a varying field and the<br />

need to keep this component of the final electron energy jitter (at 14.3 GeV) stable to

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