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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 chamfer.<br />

Once the magnetic gap of the undulator is determined, the maximum size for the vacuum<br />

chamber is also set. The difference between undulator gap and vacuum chamber outside<br />

dimension must include allowances for mechanical variations of 0.20 mm, an allowance for the<br />

difference between the magnetic model calculation and reality of 0.12 mm (this is based on the<br />

measured variation in the APS standard undulator segments A), and an allowance for uncertainty<br />

in the magnet material remanent field of 0.08 mm. This adds up to a total of 0.40 mm. Thus, if the<br />

nominal magnetic gap of the undulator is to be 6 mm, the maximum external dimension of the<br />

vacuum chamber is 5.6 mm. Although building a prototype undulator segment may allow some<br />

relaxation in this difference, it will not be large.<br />

Some options were considered for ways to increase the minimum gap of the undulator. The<br />

magnets and poles could be wedged, but this only increased the field by about 3%. It would allow<br />

an increase in the gap by about 0.3 mm, but wedging the magnets and poles is an expensive<br />

alternative. The small increase in undulator gap was not deemed to be worthwhile. Wedging the<br />

magnet would also mean that the magnet blocks would not be symmetric top-to-bottom. If the<br />

magnet blocks are symmetric, the option exists to turn them over if, for instance, reversing the<br />

vertical component of the block’s magnetic moment would improve the overall undulator<br />

magnetic field.<br />

Roll-off: Field strength vs x<br />

Local X coord<br />

Local Y coord<br />

Local Z coord<br />

13897.0<br />

13896.5<br />

13896.0<br />

13895.5<br />

13895.0<br />

13894.5<br />

13894.0<br />

13893.5<br />

13893.0<br />

13892.5<br />

13892.0<br />

0.0<br />

-3.0<br />

0.0<br />

1.0<br />

-3.0<br />

0.0<br />

2.0<br />

-3.0<br />

0.0<br />

Component: BY, Integral = 69478.1<br />

3.0<br />

-3.0<br />

0.0<br />

4.0<br />

-3.0<br />

0.0<br />

5.0<br />

-3.0<br />

0.0<br />

UNITS<br />

Length : mm<br />

Magn Flux Den : gauss<br />

Magnetic field : oersted<br />

Magn Scalar Pot : oersted-cm<br />

Magn Vector Pot : gauss-cm<br />

Elec Flux Den : C cm -2<br />

Electric field : V cm -1<br />

Conductivity : S cm -1<br />

Current density : A cm -2<br />

Power : erg s -1<br />

Force : dyne<br />

Energy : erg<br />

PROBLEM DATA<br />

osca/lcls30/f3d3026b.op3<br />

TOSCA<br />

Magnetostatic<br />

Non-linear materials<br />

Simulation No 1 of 1<br />

10231 elements<br />

45239 nodes<br />

Nodal fields<br />

LOCAL COORDS.<br />

Xlocal = 0.0<br />

Ylocal = 0.0<br />

Zlocal = 0.0<br />

Theta = 0.0<br />

Phi = 0.0<br />

Psi = 0.0<br />

11/May/2000 01:49:38 Page 59<br />

OPERA-3d<br />

Post-Processor 7.1<br />

Figure 8.12 On-axis field strength under the pole vs. transverse position. A difference in field<br />

strength by ∆B/B = 1.3×10 -4 occurs at transverse positions of ±2.9 mm.<br />

8-26 ♦ U N D U L A T O R

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