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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 />

has had positive experience with it and less satisfactory experiences with concrete for support<br />

structures.<br />

To eliminate the diurnal temperature cycles associated with the ground, it is only necessary<br />

for the piers to extend 1–2 feet below the concrete floor [13]. Given that the piers should be set<br />

into the sandstone ground structure, the piers will extend about 60 cm below the floor level or<br />

more as required to reach the sandstone. The piers will be isolated from the concrete floor.<br />

Figure 8.24 Eccentric cam alignment system to support and position one end of the undulator<br />

segment.<br />

8.6.4 Thermal Considerations<br />

Due to the low thermal expansion of titanium, it is estimated that if the tunnel temperature<br />

changes by ±0.5°C, the resulting length change of the undulator segment will be on the order of<br />

only ±15µm. This change would not have a significant impact on the output wavelength of the<br />

undulator. The temperature variation in the strength of the undulator magnetic field due to the<br />

reduction in the remanent field of the permanent magnets at higher temperatures would have an<br />

effect, however. The remanence of the NdFeB magnets decreases by about 0.1% per °C. This<br />

results in a decrease in the on-axis undulator field strength of about 0.054% per °C. To<br />

compensate for this effect, the magnetic gap can be reduced due to differential thermal expansion<br />

as the temperature increases. Magnetic calculations show that to compensate for a 1°C<br />

temperature rise, the decrease in pole gap needs to be on the order of 8.6×10 -4 of the gap. To<br />

accomplish this, an aluminum plate was placed between the titanium core of the undulator<br />

segment and the magnet/pole assemblies. The predicted decrease in pole gap for the model is<br />

approximately 8.26×10 -4 , or almost the ideal value.<br />

8.7 Permanent Magnet Quadrupoles<br />

The FODO lattice of the undulator line incorporates permanent magnet quadrupoles. No<br />

provision is planned for adjusting the strength of the quadrupole, so magnetic tuning and<br />

U N D U L A T O R ♦ 8-37

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