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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 />

[10], for a 1-nC uniform-charge distribution and a 10-ps long bunch with 1-mm hard-edge radius,<br />

good emittance performance and high peak current at the exit of the gun can be obtained with a<br />

peak field on the cathode of about 140 MV/m, an injection phase (with respect to the rf zero<br />

crossing) on the order of 35°, and a moderate solenoid field strength of about 3.0 kG. Earlier<br />

design studies for the <strong>LCLS</strong> injector made use of a low-gradient booster as was then the standard<br />

[4]. In the following analysis, these parameters, which in this context will be called the standard<br />

or old working point, are taken as the starting condition for a new parameter-space search.<br />

When observing envelope and emittance behavior while scanning the gun solenoid field<br />

strength using HOMDYN, an interesting feature can be seen that appears to be a very effective<br />

new working point for a split (gun separate from booster) rf photoinjector [11]. By increasing the<br />

solenoid strength, the emittance evolution shows a double minimum behavior in the drift region<br />

following the gun. For a unique value of the solenoid strength (3.1 kG in this case) the envelope<br />

waist occurs where the emittance has its relative maximum (z≈1.5 m in this case) as shown by the<br />

red (bold) lines in Figs. 6.1 and 6.2. The solenoid value that produces this unique coincidence of<br />

waist and emittance relative maximum is a key constituent of the new working point.<br />

The performance using the new working point relies on this feature of the emittance<br />

oscillation. If the booster entrance is located at z ≈ 1.5 m, where the beam laminar waist occurs,<br />

and if simultaneously the other IE matching condition is satisfied, i.e., Eq. (6-3), the second<br />

emittance minimum can be shifted to higher energy and frozen at a lower level, taking advantage<br />

of the additional emittance compensation occurring in the booster.<br />

σx (mm)<br />

4<br />

3<br />

2<br />

1<br />

4-2001<br />

8560A94<br />

0<br />

0 50 100 150 200 250<br />

Z (cm)<br />

Figure 6.1 Beam envelope versus z. Each curve is for a different solenoid strength, i.e., values<br />

between 0.26 and 0.33 T in equal increments.<br />

6-6 ♦ I NJECTOR

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