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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 />

0.073-µm axial position shift per 0.1-% energy deviation). The emittance dilution due to<br />

incoherent synchrotron radiation at 14.3 GeV is insignificant at 1%.<br />

In order to include a high-resolution relative energy spectrometer that is insensitive to<br />

variable incoming betatron oscillations, the centers of the Chasman-Green cells are separated by a<br />

unity optical transformer (+I) in the horizontal plane. The signals from two BPMs, one placed at<br />

the maximum dispersion point in each cell, are then subtracted to eliminate all incoming betatron<br />

oscillations and to enhance the relative energy signal (the dispersion is of opposite sign in the two<br />

cells—see Figure 7.36). With two BPMs of 10-µm resolution, a relative energy change of 8×10 –5<br />

can be resolved per pulse. Such resolution will be used in an energy feedback system controlling<br />

the L3-linac rf (see Section 7.8.4).<br />

Two vertical dipole magnets in DL2 remove the downward vertical angle imposed by the<br />

orientation of the SLAC linac. An upward net bend of 0.3˚ is added after the last horizontal bend.<br />

This makes the undulator level with respect to gravity. The vertical bends are 0.4 m long and each<br />

bend 0.15˚. They are separated by four quadrupole magnets to form a linear achromat (see Figure<br />

7.36). These vertical bends are too weak to generate significant momentum compaction or<br />

synchrotron radiation (coherent or otherwise).<br />

7.5.2.1 Parameters<br />

DL2 follows the beam switchyard (BSY), which transports electrons from linac to undulator<br />

hall. The DL2 parameters are summarized in Table 7.19. Beta-functions and dispersion are<br />

shown in Figure 7.36. The energy spread measuring profile monitor is indicated at S ≈ 1236 m.<br />

β (m)<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

B31<br />

QL31<br />

QL32<br />

QL33<br />

B32<br />

QL34<br />

QL35<br />

QL36<br />

B33<br />

QL37<br />

QL38<br />

QL39<br />

B34<br />

QM31<br />

QM32<br />

VB1<br />

QVB1<br />

QVB2<br />

QVB3<br />

QVB4<br />

VB2<br />

QM33<br />

QM34<br />

1210 1220 1230 1240<br />

S (m)<br />

1250 1260 1270<br />

QE31<br />

QE32<br />

QE33<br />

QE34<br />

β<br />

x<br />

β<br />

y<br />

η<br />

x<br />

η<br />

y<br />

QE35<br />

QE36<br />

QM35<br />

QM36<br />

QM37<br />

QM38<br />

−0.05<br />

Figure 7.36 Dispersion and beta functions through DL2/ED2 beamline up to undulator entrance.<br />

Four-dipole dog-leg (DL2), 2-dipole vertical bend (VB), and final diagnostic section<br />

(ED2) are shown. Profile monitors are indicated by small circles in top schematic.<br />

Table 7.19 Nominal parameters of high-energy dog-leg (DL2) beamline.<br />

0.1<br />

0.05<br />

0<br />

−0.1<br />

η (m)<br />

A C C E L E R A T O R ♦ 7-61

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