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 7.9.2 The Calculated Wakefields for the SLAC Linac The wakefields for the SLAC linac structure were first calculated many years ago [56]. The methods and results presented here are essentially the same, though there are some changes in the details (see, for details, where these methods are applied to the NLC X-band structure [57] and the SBLC S-band structure [58]). To obtain the wakefields for each of the representative periodic models, several hundred mode frequencies and loss factors are obtained using computer programs that employ mode-matching techniques. The accuracy of these calculations is not easy to assess. The density of modes obtained is one consistency check, and good agreement is found. The high-frequency contribution to the impedances is obtained employing the so-called “Sessler-Vainsteyn optical resonator model” [57,59]. It is a simple model that combines the Poynting flux at the iris due to the beam with the diffraction due to light at the edges of a periodic array of circular mirrors. It yields the expected high-frequency dependence of the impedance; e.g., the real part of the longitudinal impedance varies with frequency as ω –3/2 . Figure 7.71 shows the real part of the longitudinal impedance, averaged over frequency bins, for the geometry of cell 45 (a in the plot is the iris radius; 11.6 mm). The dashed curve is the Sessler-Vainsteyn prediction. At the higher frequencies the agreement is seen to be quite good. Figure 7.71 The real part of the longitudinal impedance, averaged over frequency bins, for the geometry of cell 45. The Sessler-Vainsteyn prediction is given by the dashed curve. As a dipole example, the real part of the longitudinal dipole impedance, averaged over frequency bins, for the geometry of cell 45 is plotted in Figure 7.72, with the dashed curve again giving the Sessler-Vainsteyn prediction. There appears to be a 15% systematic difference between the two results at high frequencies, probably due to the approximate nature of the Sessler-Vainsteyn model. The agreement, however, is acceptable for our requirements. 7-104 ♦ A C C E L E R A T O R
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 Figure 7.72 The real part of the longitudinal dipole impedance, averaged over frequency bins, for geometry of cell 45. The Sessler-Vainsteyn prediction is given by dashed curve. The longitudinal wakefield of the 5 representative cells—cells 1, 23, 45, 65, and 84—is given in Figure 7.73, and the average (with the end cells weighted by one half), representing the whole structure, is given by the dashes. Figure 7.73 The longitudinal wakefield of representative cells in the SLAC structure (solid curves). The average represents the whole structure (the dashes). One important consistency check is that for each model structure, the longitudinal wakefield at the origin must satisfy [60] W || ( 0) Z 0c = , (7.29) 2 π a A C C E L E R A T O R ♦ 7-105
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Linac Coherent Light Source (LCLS)
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L C L S C O N C E P T U A L D E S I
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Preface This Conceptual Design Repo
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Table of Contents 1 Executive Summa
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6. Two experiment halls L C L S C O
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2.7.1.7 Conventional Facilities L C
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3 TECHNICAL SYNOPSIS Scientific Bas
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5 TECHNICAL SYNOPSIS FEL Parameters
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and the total peak beam power L C L
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5.4.2.2 Case II - High Charge Limit
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∆P ∆I sat pl / P / I sat pk L C
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5.9 Summary L C L S C O N C E P T U
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6 Injector TECHNICAL SYNOPSIS The i
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εn,x (µm) 4 3 2 1 4-2001 8560A95
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Quantum Yield (electrons/photon) 10
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Bz (T) 0.3 0.2 0.1 1-2002 8560A92 L
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Master Clock 9.917 MHz x8 x6 x6 Df
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1-2002 8560A198 Linac Center Line L
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B z (kG) 3 2 1 4-2001 8560A91 L C L
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γε x,y (µm) 3 2 1 0 3-2001 8560A
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γεx,y (µm) yn 10 0 -10 -10 0 10
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σ γ /γ 0 (percent) ∆N/N 0.02 0
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5 0 -5 5 0 -5 5 0 -5 L C L S C O N
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Table 6.5 PARMELA Output Parameters
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gama x (micro.m) 3 2 1 0 0 L C L S
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∆E/E 0 (%) ∆N/N 0 -1 -2 0.02 0
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〈∆E/E 0 〉 /% I pk /I pk0 0.1
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β (m) 35 30 25 20 15 10 5 0 K21_1B
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β (m) 60 50 40 30 20 10 0 L C L S
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Page 240 and 241: L C L S C O N C E P T U A L D E S I
Page 256 and 257: economic reasons. L C L S C O N C E
Page 268 and 269: Phase [deg. S-band] L C L S C O N C
Page 272 and 273: New Solid-State Sub-Booster and Ele
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Gasload (Torr-l/sec-cm) (x10 -12 )
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8.10.4 Conclusion L C L S C O N C E
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x θ j > 0 L C L S C O N C E P T U
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Quad ∆X/µm Quad ∆Y/µm −500
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∆X/µm ∆Y/µm L C L S C O N C E
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8.13.2 Undulator Cell Structure L C
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9.2 Layout and Optics 9.2.1 Experim
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Fast Valve L C L S C O N C E P T U
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0.01 10 -4 10 -6 10 -8 10 -10 10 -1
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Table 9.5 Mirror requirements L C L
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Refractive Focusing System L C L S
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Pulse Split/Delay L C L S C O N C E
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Figure 9.20 LCLS Ion Chamber L C L
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9.4.3.2 Pulse Length L C L S C O N
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9.4.3.6 Divergence L C L S C O N C
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10 Conventional Facilities TECHNICA
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1-2002 8560A198 Linac Center Line L
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Figure 10.6 Near hall floor plan 10
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11 Controls TECHNICAL SYNOPSIS The
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11.5.3 Motion Controls L C L S C O
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12.1 Procedural Overview L C L S C
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13 Environment, Safety and Health a
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Table 13-1 Hazard Identification an
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13.1 Ionizing Radiation The design
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Table 13-2 Minimum Training Require
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13.10 SLAC References L C L S C O N
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L C L S D E S I G N S T U D Y R E P
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15 TECHNICAL SYNOPSIS Work Breakdow
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A A.1 FEL-Physics A.1.1 Performance
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A.2 Photo-Injector A.2.1 Gun-Laser
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A.2.3.2 Electron Beam L C L S C O N
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A.2.4.7 Vacuum L C L S C O N C E P
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A.3.8 DL-2 A.3.8.1 Subsystem L C L
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A.4 Undulator A.4.1 Undulator A.4.1
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B Control Points B.1 Injector Contr
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C Glossary ACO Anneaux Collisions O
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