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LCLS Conceptual Design Report - Stanford Synchrotron Radiation ...

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g ( )<br />

First field Integral(G-cm)<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 />

80<br />

60<br />

40<br />

20<br />

0<br />

-20<br />

-40<br />

-60<br />

50<br />

J1p<br />

100<br />

J1n<br />

150<br />

200<br />

250<br />

Magnet<br />

Figure 8.5 First vertical field integral through the half-period fixture when the same magnet block<br />

is oriented with its vertical moment positive (blue +) and negative (red –) for a few of<br />

the magnets. The positive orientation usually gives a higher integral, but not always.<br />

Another characteristic of the assembled magnetic structure that cannot be predicted from<br />

the Helmholtz coil measurements is the phase variation. This can be seen in Figure 8.6. The<br />

vertical component of the field in the fixture has been measured for both orientations of the<br />

vertical moment of the magnet block (the direction of the main component of the block’s moment<br />

is the same). The difference between these two measurements is plotted. The plot also includes<br />

the result of a calculation that assumes a uniform distribution of magnetization. The difference<br />

seen between the measurement and calculation can affect the contribution to the phase error from<br />

the magnet block.<br />

Figure 8.6 Difference in vertical on-axis field when a magnet block is rotated to change the<br />

vertical component of the field, plotted vs. z. The measured effect may differ from the<br />

calculation if the distribution of the vertical magnetization in the magnet block is not<br />

uniform; this can affect the phase errors.<br />

300<br />

350<br />

400<br />

450<br />

U N D U L A T O R ♦ 8-19

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