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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 />

beam on the center OTR profile monitor of the ED0 emittance diagnostic section (at S ≈ 14.1 m in<br />

Figure 7.33). With a beam waist (αx = αy = 0) nominally located at this monitor, a quadrupole<br />

gradient scan can be done while measuring the sliced horizontal beam size. A simulation of this<br />

‘streak’ effect is shown in Figure 7.68, for nominal quadrupole settings. In addition to slice<br />

emittance, the horizontal Twiss parameter variations along the bunch length can also be<br />

measured. Of course, the absolute bunch length and temporal profile can also be measured here.<br />

Figure 7.68 Simulated profile monitor in middle of ED0 emittance diagnostic section with 55-cm rf<br />

deflector OFF (left) and with voltage set to 1 MV (right). The deflector ‘streaks’ the beam<br />

vertically such that the horizontal slice emittance can easily be measured.<br />

7.8.2.2 RF Zero-Phasing Technique<br />

Beyond the rf-deflectors, CSR detectors will be used as relative bunch length monitors,<br />

calibrated using a streak camera for the 10-psec range, and calibrated using the rf-deflector, or a<br />

“zero-phasing technique” [50] for the 2-psec and 0.2-psec ranges.<br />

The zero-phasing technique is another way to measure the micro-bunch in an absolute sense,<br />

by employing an accelerating rf system at zero-crossing angle to generate correlated energy<br />

spread. The transverse beam size is measured in a dispersive region to extract the bunch length. In<br />

the <strong>LCLS</strong>, the entire L3-linac is used as the rf system. The measurement is invasive and<br />

performed infrequently to calibrate or crosscheck the CSR detectors. The micro-bunch is<br />

transported to the energy spread measuring profile monitor in DL2 (PR31) with a +90° L3 rf<br />

phase (i.e., zero crossing producing no acceleration in L3). The measurement is then repeated at a<br />

–90° rf phase. The bunch length is then given by the average of the two energy-spread values.<br />

λ E<br />

σ<br />

i<br />

z ≈<br />

4π<br />

Ef − Ei<br />

( σδ+ σδ2)<br />

1<br />

(7.28)<br />

Here λ is the rf wavelength (105 mm), Ei is the L3 injection energy (4.54 GeV), Ef is the L3 final<br />

energy obtained with the L3 rf phase at crest-phase (14.6 GeV), and σδ 1 and σδ 2 are the two<br />

energy spread measurements at +90° and –90°.<br />

A C C E L E R A T O R ♦ 7-97

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