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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 />

This method is simulated in Figure 7.69, including CSR and wakefields, and demonstrates an<br />

absolute bunch length measurement with an accuracy of a few percent. In all cases shown the<br />

beam is not accelerated in L3-linac, for a final beam energy of 4.54 GeV. The 75-µm FWHM<br />

bunch length generates FWHM energy spread values of 1.64% (at φ = –90°, left) and 0.333% (at<br />

φ = +90°, right). When this is used in Eq. (7.28), it reproduces the 75-µm FWHM bunch length to<br />

within a few percent. Statistical resolution is dependent on the profile monitor used and should be<br />

5–10%. The horizontal FWHM beam size at the DL2 energy spread profile monitor (PR31;<br />

ηx ≈ 50 mm) associated with the three cases is shown at bottom of Figure 7.69. Relative bunch<br />

length monitors are then calibrated from this, or the rf-deflector measurements. With BC2<br />

switched off, the bunch length after BC1 can also be measured with either of these techniques.<br />

Figure 7.69 Simulated ‘zero-phasing’ technique for bunch length measurement. Top row is energy<br />

distribution after DL2 at 4.54 GeV for −90° (left), rf-off (center), and +90° (right) in L3.<br />

Middle row is longitudinal phase space, and bottom row is horizontal beam profile.<br />

7.8.2.3 Electo-Optical Bunch Length Diagnostic<br />

An electro-optical (EO) device will also be employed as a bunch length and bunch arrival-<br />

time diagnostic [51]. The concept, as illustrated in Figure 7.70, shows a laser pulse with a<br />

chirped waveform co-propagating with the electron beam. The active element is a thin (~100 µm)<br />

electro-optic crystal such as LiNbO3 through which the pulse propagates. The transmission of<br />

7-98 ♦ A C C E L E R A T O R

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