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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 />

the localized demagnetizing field experienced by different parts of the magnet blocks, over the<br />

full range of intended gaps. A normal goal of the design process is to maximize the on-axis field<br />

of the undulator segment at the smallest gap while ensuring that the demagnetizing field seen by<br />

the magnets is not excessive at small gaps, nor at any larger gaps – after all, the undulator<br />

segment must be assembled one jaw at a time (corresponding to a very large gap) before the jaws<br />

are brought close together. The maximum allowable demagnetizing field is determined by the<br />

grade of the magnet material being used and what that grade of material can tolerate without<br />

permanent demagnetization. Additional margin in the maximum allowable field should be<br />

included for temperature effects, because permanent demagnetization will occur at a weaker<br />

demagnetizing field if the magnet is at a higher temperature, and neither an air-conditioning<br />

failure nor transport in an enclosed truck on a hot day should put undulator segments at risk.<br />

Temperature dependence information is available from the magnet manufacturer in the form of B-<br />

H curves at different temperatures. Similarly, additional margin should be allowed for radiation<br />

exposure because exposure is more likely to result in demagnetization if the demagnetization<br />

field seen by the magnet is closer to the field at which permanent demagnetization occurs in the<br />

absence of radiation.<br />

One way of reducing the demagnetization risk of the magnets is in the choice of the grade of<br />

magnet material. Different grades of NdFeB magnet material were considered and material<br />

(N39SH) meeting <strong>LCLS</strong> needs is commercially available. The remanence of this material is 1.23<br />

to 1.29 Tesla and the intrinsic coercivity iHc is a minimum of 21 kOe. This grade of magnet has a<br />

high remanent field but it was mainly chosen because of its particularly high intrinsic coercivity.<br />

The high coercivity correlates with a better resistance of the magnet material to radiation-induced<br />

demagnetization, and with this grade of magnet the high coercivity can be obtained without<br />

sacrificing magnetic remanence as compared to the older N38H grade of NdFeB that has been<br />

used in many insertion devices, including most of those at the APS.<br />

Table 8.3 Predicted values for the undulator magnetic model.<br />

Parameter Value<br />

Period length 30 mm<br />

Gap 6 mm<br />

Peak field on axis 1 1.390 Tesla<br />

Effective field on axis 2 1.348 Tesla<br />

Effective K 3.776<br />

Force per pole 258 N<br />

1 The peak field is the maximum measured field amplitude.<br />

2 The measured field amplitude is not exactly sinusoidal. The effective field is the amplitude of an equivalent sinusoidal field that<br />

would produce the same first harmonic energy as the measured field.<br />

U N D U L A T O R ♦ 8-21

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