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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 />

phosphor screen profile monitor, a BPM, and a horizontal beam collimator will be included at the<br />

chicane center.<br />

In addition, a short one-period, superconducting wiggler will be located just upstream of the<br />

BC2 chicane. This wiggler is used to increase the intrinsic (uncorrelated) energy spread of the<br />

beam in order to damp CSR micro-bunching effects in the BC2 chicane [3]. The relative energy<br />

spread due to incoherent synchrotron radiation (ISR), σδ ISR , per bend magnet is given by<br />

1<br />

−11 2 −553<br />

σ δ ≈ ( 4.13× 10 m ⋅ GeV ) E θ<br />

ISR<br />

B , (7.20)<br />

L<br />

B<br />

where LB is the magnet length, θB is the bend angle, and E is the beam energy (4.54 GeV in the<br />

wiggler). If we use two 7-cm long coils sandwiching two 10-cm long coils, with the field profile<br />

shown in Figure 7.24, then a 6-Tesla peak field increases the incoherent energy spread to 3×10 −5<br />

(rather than 3×10 −6 without wiggler). This is enough to reduce the CSR-induced micro-bunching<br />

effect to tolerable levels (see below). The wiggler is then ~60 cm in physical length and<br />

composed of superconducting magnets with a local liquid He cryogenics supply in or near sector-<br />

24. This scenario has been used in the past to supply the superconducting spin-rotator solenoids<br />

presently installed in the SLAC linac at north damping ring entrance and exit.<br />

B y [T]<br />

6<br />

4<br />

2<br />

0<br />

−2<br />

−4<br />

−6<br />

0 0.2 0.4 0.6 0.8<br />

s [m]<br />

Figure 7.24 Magnetic field profile of one-period superconducting wiggler placed just upstream of<br />

BC2 chicane to increase incoherent energy spread to 3×10 −5 rms at 4.54 GeV, which<br />

damps CSR micro-bunching.<br />

The wiggler has almost no effect on bunch length, and CSR effects are small since the bunch<br />

length is ~200 µm long throughout the wiggler. The ‘slice’ horizontal emittance is, however,<br />

increased by the spontaneous radiation in the wiggler, where the dispersion is not zero. The beta<br />

7-44 ♦ A C C E L E R A T O R

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